The course will cover selected topics from classical geometry, analytical geometry and algebra. Software used in teaching and learning algebra and geometry will be introduced.

Basic topics from Euclidean geometry will be covered; concepts, axioms and postulates on parallel lines, polygons and circles. Simple constructions with circle and ruler. Selected topics from analytical geometry e.g. the equation of a circle, solutions of linear equations and equation systems, second degree equations, absolute value equations and inequalities.

The software GeoGebra will be used for visualization, making conjectures, constructions and drawings.

This course will focus on Icelandic culture and literature in a broad understanding, as well as how both factor into language use and linguistic world of different subjects within the school system.

This will include a discussion of basic concepts of literary theory, discourse analysis and cultural studies, and a variety of methods and media in teaching will be introduced, which can increase understanding and interest among elementary school students in their own culture as well as other cultures. 

Students will have the opportunity to read literary fiction from both past and present and put it into context with their own experiences as well as their future approach to teaching different school subjects.

A variety of texts will be discussed, both fiction as well as practical/didactic texts and recreational texts, with the goal that students realize and appreciate that language is the tool we use in all our daily lives and studies regardless of subject. The deep layers of meaning found in all manner of texts will be analyzed, and students will be given the proper tools to scrutinize texts in their surroundings in an independent and critical manner.

This course will focus on interweaving of different elementary school subjects and how Icelandic is the subject that binds all other subjects together, emphasizing the teacher’s role of teaching in Icelandic, rather than teaching Icelandic as a subject. For this reason a special focus will be placed on how Icelandic provides a base for the teaching of several other subjects, including social studies, mathematics, natural sciences, foreign languages, and not least art subjects, e.g. visual arts and drama.

The main objective of the course is to prepare students for reading, writing and communicating academic texts.

The course will cover various types of scholarly material and its representation. Students will familiarize themselves with different aspects of academic writing and learn to distinguish between different genres. Students will be trained in independent and critical reading of different texts. Copyright, plagiarism, and fake news will also be discussed.

Students will acquire skills in working with academic texts, such as abstracts and summaries and in using sources when writing their own texts. They will also receive instructions in making bibliographies and using citation systems. Students will also be trained in using source material in their own writing and distinguish between their own voice and the source. 

In the course teacher students are introduced to the main goals of teaching mathematics in compulsory schools. The emphasis is both on content and the process of teaching and learning.

Emphasis is put on problem solving and inquiry based approach to learning and teaching. The teacher students will study how different approaches in teaching affect learning. Consideration is given to the role of the teacher and competances to be expected.

Students use ICT in their own learning and in connection with the teaching of mathematics.

An introductory course intended to provide an overview of contemporary ideas and perspectives on learning and instruction and teachers working environments. Major learning theories, trends and issues are introduced which will then be discussed in later courses focusing on learning and the teacher profession.

Important conceptions, concepts and issues covered: Learning theories and research, conditions for learning and teaching, teachers practice theories, learning-learner-learning environment, organisation of learning, instructional planning, curriculum development and collaboration, teachers professionalism and practice theories, legal and regulatory frameworks for compulsory education.

Procedure: Lectures, reflective studies, seminars, individual and group work, projects, interactive lectures, field work and training.

The teacher students strengthen their knowledge of selected mathematical topics, including number theory and geometry.

The course also treats numeration systems and basic arithmetic.

Emphasis is put on problem solving and inquiry-based approach to learning and teaching. The teacher students reflect on how different approaches in teaching affect students understanding of mathematical concepts.

The topics of study are the aims of mathematics teaching in compulsory school, mathematical competence and the organisation of mathematics teaching in compulsory school. The national curriculum and textbooks are examined and analyzed. Special consideration is given to how students acquire competence to communicate and apply mathematics. Attention is directed to the importance of continuity in learning where main ideas become clearer and richer with time. Students learn to plan for mathematics lessons that take into account the needs of all students. Equity and students' access to mathematics education will be discussed. Students try out different ways of teaching and emphasis is placed on the use of diverse media and learning materials. Based on their experience in the field, students reflect on their teaching, their choice of teaching conten, the role of the teacher and communication with students and communication between students. Emphasis is placed on diverse learning environments and teaching methods based on research into mathematics learning and teaching.

The course aims for student teachers to acquire knowledge and skills in general pedagogy and the ability to teach students at the compulsory school level.

• The focus is on teaching methods in compulsory schools, the learning environment, and class management, and on discussing what characterizes effective teaching.
• Attention is directed to the characteristics of the age levels of compulsory school and presents ways to stimulate development and meet the different needs of students in an inclusive school.
• Cooperation and communication between students, teamwork, and team teaching by teachers will be discussed, but also the relationship between homes and schools and the participation of parents in their children's education.
• Student teachers receive training in pronunciation and voice protection, expression, and manners.
• With a field study, a student teacher gets practice in planning diverse studies, implementing teaching methods, using information technology, and evaluating his experience.

In the course there is emphasis on students‘ mathematical reasoning and ability to write simple proofs.

The term group and related terms will be defined. Many examples based on traditional arithmetic in known sets of numbers will be examined, but also more abstract examples such as finite groups and permutation groups. Rings and fields are introduced. Connections between arithmetic and algebra at secondary school level with groups, rings and fields are examined.

Topics from Euclidian geometry. Foundations and systematic development of elementary geometry of the plane. Concepts, postulates, definitions, and theorems involving parallel lines polygons and circles. Attention is given to reasoning and proving theorems. A brief discussion of the geometry of solids. Calculation of area and volume.

Topics from elementary number theory; divisibility, prime numbers, the Euclidian Algorithm, solutions of Diophantine equations and some theorems involving congruences like the Chinese Remainder Theorem and Fermat’s Little Theorem. Rational numbers and irrational numbers.

Course description: The fundamental concepts of calculus will be discussed. Subjects: Limits and continuous functions. Differentiable functions, rules for derivatives, derivatives of higher order, antiderivatives. Applications of differential calculus: Extremal value problems, linear approximation. The main functions in calculus: logarithms, exponential functions and trigonometric functions. The mean value theorem. Integration: The definite integral and rules of integration. The fundamental theorem of calculus. Techniques of integration, improper integrals. Series and sequences. Ordinary differential equations. Vectors and matrix calculations.

The course will aim to provide students with a comprehensive understanding of the developmental changes that take place from birth through adolescence.

Content:
The course will cover a broad range of developmental changes during different phases of childhood and adolescence, and theories that describe and explain those changes. Theories of cognitive development, emotional and social development, the development of self, and moral development will be discussed. The approaches of behaviourism and ecological theory will also be highlighted. The origins and nature of individual differences, continuity and discontinuity of development, as well as plasticity of development will be discussed. The interaction between development and learning, motivation, parenting practices, culture, and different social environments will be addressed. A strong emphasis will be placed on the importance of understanding child development when working with children in applied settings.

Procedure:
The course will consist of lectures and recitations. Students' will have a chance to discuss the topics of the course and deepen their understanding of the age group they plan to focus on during their studies and work.

The course is designed to expose students to perspectives on curriculum development and assessment in compulsory education. The following educational process is emphasized:

Students discuss and learn about basic concepts and issues related to assessment and curriculum development in compulsory education. Issues and ideologies reflected in official curricula, law, directives, and other policy briefings are discussed both theoretically and in praxis. Special focus is laid on the role of teachers in curriculum development and assessment, and alternatively their professional role in developing learning programs for groups of pupils as well as individual pupils with special needs. Nature, purpose, and strategies regarding assessment and curriculum are addressed (cf. formative assessment, summative assessment, writing test items and other test instruments, and marking and reporting). Students discuss and learn about controversial issues and different ideological currents concerning central questions about the purpose and aims of compulsory education. Key questions discussed are: What should be the purpose of the school, what should be taught and assessed in compulsory schools, how and why? What counts as legitimate knowledge and competence, and how should we administer and organize compulsory education.

The working process of the course consists of lectures, field-related assignments, and critical discussion through seminars and group assignments

 The main aim of the course is that students become acquainted with various ways of teaching science in compulsory schools, acquire skills in organizing such teaching, and understand its value. Emphasis is on natural science topics that are related to the students' experiences. The focus will be on practical work indoors and outdoors and possibilities in the immediate vicinity of schools. Various ways of studying nature will be introduced, such as an examination of geological phenomena, a plant inspection as well as methods for collecting small animals and an analysis of organisms. Students will gain experience in organizing outdoor lessons. Concepts and theories in chemistry appropriate for prospective compulsory students will be studied with emphasis on pedagogical content knowledge. Students will also be introduced to the opportunities that the use of information technology provides to promote interest and curiosity about nature. The curriculum and learning materials of the compulsory school related to the subject of the course will also be examined.

The course will examine the structure of chemicals, chemical changes, atomic theory and the periodic table. Also nature of Iceland including plants, birds, small animals, freshwater and beach organisms with an emphasis on their habitat and adaptation to the Icelandic environment. The sea around Iceland and the factors that shape the ecosystem in Icelandic waters will be discussed. In addition, the internal (volcanic activity) and external forces (climate and water) that shape the country's environment will be discussed.

The aim of the course is for students to strengthen their knowledge of the pedagogy of natural sciences and field work in compulsory school is a part of the course. The role of teachers in learning of natural sciences will be examined.  Special attention will be paid to practical work and pupil’s everyday ideas. Possibilities for outdoor learning will be explored along with opportunities offered by virtual environments. The natural science topics covered in this course within the field of physical sciences include thermal energy and temperature, heat transfer, utilization of thermal energy, and energy processes related to chemical changes. The geoscience topics addressed in the course include, on the one hand, the effects of internal and external forces on the shaping of the Earth's surface, and on the other hand, the practical applications of geosciences in sustainable resource utilization and environmental monitoring.

The main focus of the course will be on the teaching of natural and social sciences and how these subjects can be integrated through the Storyline approach. Special issues and tasks will be chosen within nature and social sciences and integrated with other subject areas. Teaching material, equipment and teaching environment that supports learning and teaching will be explored and appropriate assessment methods will be introduced and discussed. Students will learn to apply information technology tools and a creative approach in teaching and learning.

The aim of the course is to cover the main concepts in mathematics learning in primary school. Students explore what it means to do mathematics and developing understanding in mathematics. They learn to plan mathematics teaching in problem based environment using information technology and plan assessment into instruction.

This course aims to provide students with insights into the unique conditions of Danish teaching in Icelandic primary schools. We will explore fundamental concepts and theories related to language acquisition, specifically relevant to foreign language instruction. Additionally, we’ll align academic goals and objectives for Danish teaching in Iceland with theories of language acquisition and foreign language pedagogy. The course also examines how teachers’ learning and language perspectives manifest in Danish as a foreign language classrooms.

The goals of the course are to provide students with opportunities to practice their Danish speaking skills and increase their understanding of the levels and characteristics of spoken language and discourse. Subject areas will include phonetics and Danish pronunciation, rhythm and stress, accents and Danish varieties, differences between spoken and written Danish, and aspects of oral communication and fluency. Students will receive practice in a variety of speech acts and situations (speech events) such as discussions, conversations, presentations, storytelling, and reading aloud.

In the course, a foundation of academic knowledge for prospective Icelandic teachers on Icelandic literature will be laid to prepare them for teaching in primary schools. Emphasis will be placed on developing students as independent readers of various types of literature. Additionally, spoken language, listening, observation, reading, and writing will be addressed on a scholarly basis and through practical tasks. The course will focus on active listening and observation, and students will be trained to communicate their knowledge verbally and to utilize various media to enhance these aspects for themselves.

Contemporary literature for children and adults, as well as narratives in other media such as theater and film, will be discussed. General analytical methods will be employed, and critical reading skills will be developed for comprehension and interpretation. Attention will be given to how texts can provoke discussion on ethical concepts and viewpoints. Furthermore, literary texts will be read with the aim for students to enjoy them and share their reading experience with others.

Students will engage in analyzing the differences between spoken language and written language from a scholarly perspective and practice working with different forms of spoken language and texts in various contexts.

Students will get to know theories about active listening and active viewing and will use varied mediums to enforce these skills within themselves.

Contemporary literature for children and adults will be covered, as well as folk tales and national culture related to them. General methods of analysis will be employed and literacy trained towards understanding and interpretation. It will be emphasized how texts can encourage discussions about ethical terminology and matters. In addition, literary texts will be read enabling the students to enjoy them and share their reading experience with others.

Students will learn to distinguish between spoken and written language in a theoretical manner and get training in working with different types of spoken language and texts on various text levels.

The basic theoretical knowledge of the Icelandic phonology, morphology and syntax will be introduced, focusing on observing language through children’s acquisition and how they build up their inner grammar. In addition, the emphasis will be on the students’ own language, where they will be guided in self-observations as well as looking into other people’s language use.

In this course emphasis will be placed on the practical application of current scholarship in teaching Icelandic. Students will receive training in varied ways and methods to teach Icelandic which are meant to increase understanding and interest in topics in Icelandic. In addition, planning and preparation of teaching and assessment will be discussed.

The course centres on two main components of the teaching of Icelandic, namely writing and grammar. In addition, fundamental pillars of education will be discussed and how students can weave them into their teaching of Icelandic. Emphasis will be on training the students in working with learning outcomes and assessment outcomes for Icelandic and to promote escalation in teaching of the main components of the teaching of Icelandic.

The students get training in how to approach their teaching in a critical manner and to utilize current scholarship. They will also get practice in working critically with existing teaching materials and compare it with the current National Curriculum so as to develop their own teaching and teaching methods. In addition, the integration with other subjects of teaching will be addressed.

It will be addressed how teachers can take into account diverse group of pupils when planning their teaching so the pupils get an opportunity to approach topics in Icelandic according to their own experience and interests.

The contents of the course will be put into connection with on-site education. Students will observe teaching, consider it and evaluate it in accordance with the course’s subject matters.

The course is an introduction to design and craft education: Design and woodwork, Textiles and design and Health promotion and home economics. Project ideas are adapted to different subjects of the course. Emphasis is placed on knowledge and skills aspects from idea to completion in all work components of the course. Students work on subjects that are suitable for school work and record work processes in photographs, drawings and in text form.

The aim is to prepare student teachers for field studies in design and crafts subjects with an emphasis on pedagogical aspects. In project selection, students take into account the basic elements of education and the learning standards of a subject in the National Curriculum Guide for Compulsory Schools. In the processing of projects, emphasis is placed on creative and professional work methods. Students receive training in the preparation of syllabi, become acquainted with various teaching methods and compare different assessment methods in design and crafts subjects. Students keep a guidebook and present their experiences from the field.

How can the field of information and technology education be described, and what is meant when discussing innovation education or innovation in education? What is the reference to when discussing the information and knowledge society, information and technological literacy, digital content creation and multimedia, media literacy or pluralism, digital communication and learning communities, digital citizenship and participation in a democratic society, technology and programming suitable for children and young people, design thinking and entrepreneurship education, playing with ideas, problem-solving and collaborative creativity?

When did digital equipment first enter Icelandic primary schools, what has been the development since then and where is it heading? What obstacles and opportunities do technological advances in communication and schooling entail? What is also the history of innovation education in primary schools and how does it relate to ideas about new times, collaboration and solution-oriented working methods? What are the components of information technology, innovation and digital media in policy making and the curriculum and how are they related to other fields of study, key competences and basic aspects of education?

In this introductory course, we examine the above-mentioned topics in a domestic and international context while giving students the opportunity to work on practical and creative projects, test technical possibilities and digital tools that offer interesting opportunities in learning and teaching. Students improve their skills in this field and look to the practical possibilities in the field and the opportunities that lie in new technology for conceptual work, communication and professional development. Emphasis is placed on the formation of a strong learning community that takes an active part in the course, tackles challenges and shares ideas and experiences in lively educational camps and through digital dissemination online.

Content: The course is an introduction to the teaching of social sciences with an emphasis on the training of discussions, critical thinking and the ability to look at different points of view. Emphasis is on active reflection, where students take a critical look at their presumptions  on various issues. It also gives insights into various topics that are a part of social science teaching (cf. the national curriculum).

Methods: According to the timetable, discussions and project work occur during lessons in real-time on Zoom. Argumentation assignments will be done in connection to the lectures. Additionally there will be compulsory discussions each week (80%). Students can choose between discussions in Stakkahlíð or in realtime on Zoom. 

Course topics: The aim of the course is for participants to become aware of diverse factors that influence people‘s views of life and make them better prepared to teach social sciences. Three views will be dealt with. First is the personal and individual, then the common, social and structural. Then the relations of the personal and the common one with international agreements like United Nations Sustainable Development Goals (SDGs). Throughout the course questions of how these appear in the structure and content of school work will be asked, e.g. with regard to the national curriculum. In the course themes related to people‘s views of life will be discussed using questions of moralty, religion, societal views and government, families and people‘s local/domestic environment, and how rights and obligations form people‘s vision.

Working methods: The course is organised in two week rounds, each focusing on one theme. Lectures will be available online and reading material provided as links or pdf-documents. Final exam counts as 40% and assignments (e.g. written ones and online quizzes) count as 60%. The course in taught in weekly sessions on-line

A historical overview of principles, methods, and best practices of English language teaching. Introduction to the national curriculum of English, teaching materials, and resources. Focus on student-centered teaching, learner autonomy, teacher reflection, and developing a philosophy of teaching.

The National Curriculum Guide will be read and analyzed. Students will have an opportunity to observe and evaluate recorded teaching and they will practice reflecting on their own ideas about teaching and experience of language learning. 

Course work demands active participation and consists of reading, written assignments, discussion, group and individual work, and microteaching.

The course will look in depth at English teaching methods and principles aimed at young learners. Topics include characteristics of young learners, National Curriculum objectives, and teaching and assessment methods, especially those related to listening, speaking, reading, writing, games, songs and creative activities. Students will receive training in lesson planning and integrating English teaching with other subjects.
Course work consists of reading, oral and written assignments, discussions, group work and active participation. The course includes a teaching practice component at primary or middle school levels consisting of classroom observation, practice teaching and a written report. Student teachers will gain experience in creating lessons and activities that take into account young children’s needs and abilities. Students who are exempt from teaching practice (e.g. BA students) will complete an alternative assignment.

Students will learn about the importance of the arts in the education of children and adolescents. The focus will be on expression through visual arts, drama and music. Students will develop creative projects based on their own ideas.

Methods: Numerous workshops based on different teaching methods and various ideas.

Students continue to learn about the importance of the arts in the education of children and adolescents. The focus will be on expression through visual arts, drama and music. Students will develop creative projects based on their own ideas. This course emphasizes cross disciplinary cooperation within the arts subjects.

Methods: Numerous workshops based on different teaching methods and various ideas.

The course will cover topics in algebra, school algebra and the history of algebra. The teaching of algebra at different school levels will be examined as well as the developement of algebraic thinking in different age groups.

 Part of the course are in-field studies where students prepare and teach algebra.

Course description in English:*  This course intertwines mathematics and mathematics education. Students get an introduction to probability and statistics, build mathematical models, and learn to approach the teaching of mathematics from a modelling perspective. Among topics covered are combinations, permutations, the counting of the number of outcomes, the binomial distribution, and probability distributions in general. Students will explore how conclusions are drawn about probability based on data and how computer simulations can be used for that purpose. Different types of mathematical models will be introduced, such as linear models, exponential growth models, inverse proportion models, power functions models, linear optimization models in two variables, and graph theoretical models.

The didactics of probability and statistics will be explored and analysed from a modelling perspective. Students will select and adapt exercises and problems for the teaching of probability and statistics, and plan teaching processes. An emphasis will be put on mathematics teaching that touches on important issues of the modern times, such as climate change and pandemics.

Topics from elementary number theory; divisibility, prime numbers, the Euclidian Algorithm, solutions of Diophantine equations and some theorems involving congruences like the Chinese Remainder Theorem and Fermat’s Little Theorem. Rational numbers and irrational numbers.

Course description: The fundamental concepts of calculus will be discussed. Subjects: Limits and continuous functions. Differentiable functions, rules for derivatives, derivatives of higher order, antiderivatives. Applications of differential calculus: Extremal value problems, linear approximation. The main functions in calculus: logarithms, exponential functions and trigonometric functions. The mean value theorem. Integration: The definite integral and rules of integration. The fundamental theorem of calculus. Techniques of integration, improper integrals. Series and sequences. Ordinary differential equations. Vectors and matrix calculations.

In the course there is emphasis on students‘ mathematical reasoning and ability to write simple proofs.

The term group and related terms will be defined. Many examples based on traditional arithmetic in known sets of numbers will be examined, but also more abstract examples such as finite groups and permutation groups. Rings and fields are introduced. Connections between arithmetic and algebra at secondary school level with groups, rings and fields are examined.

Topics from Euclidian geometry. Foundations and systematic development of elementary geometry of the plane. Concepts, postulates, definitions, and theorems involving parallel lines polygons and circles. Attention is given to reasoning and proving theorems. A brief discussion of the geometry of solids. Calculation of area and volume.

The course is designed to expose students with two main perspectives on educational research. On the one hand methodology related to data collection and data analysis, on the other hand reading and discussing educational research conducted by others. In all sections of the course an emphasis is placed on knowing and understanding concepts and ideas from educational research; students read about them, discuss and apply them in tasks connected to quantitative, qualitative and mixed research methods. They also discuss and apply concepts related to action research.

The course comprises lectures, discourse, student presentations and field-related assignments.

The B.Ed. thesis in teachingis a 10 ECTS credit written thesis completed under supervision of a faculty member.

The course will cover topics in algebra, school algebra and the history of algebra. The teaching of algebra at different school levels will be examined as well as the developement of algebraic thinking in different age groups.

 Part of the course are in-field studies where students prepare and teach algebra.

Course description in English:*  This course intertwines mathematics and mathematics education. Students get an introduction to probability and statistics, build mathematical models, and learn to approach the teaching of mathematics from a modelling perspective. Among topics covered are combinations, permutations, the counting of the number of outcomes, the binomial distribution, and probability distributions in general. Students will explore how conclusions are drawn about probability based on data and how computer simulations can be used for that purpose. Different types of mathematical models will be introduced, such as linear models, exponential growth models, inverse proportion models, power functions models, linear optimization models in two variables, and graph theoretical models.

The didactics of probability and statistics will be explored and analysed from a modelling perspective. Students will select and adapt exercises and problems for the teaching of probability and statistics, and plan teaching processes. An emphasis will be put on mathematics teaching that touches on important issues of the modern times, such as climate change and pandemics.

The course will cover selected topics from classical geometry, analytical geometry and algebra. Software used in teaching and learning algebra and geometry will be introduced.

Basic topics from Euclidean geometry will be covered; concepts, axioms and postulates on parallel lines, polygons and circles. Simple constructions with circle and ruler. Selected topics from analytical geometry e.g. the equation of a circle, solutions of linear equations and equation systems, second degree equations, absolute value equations and inequalities.

The software GeoGebra will be used for visualization, making conjectures, constructions and drawings.

This course will focus on Icelandic culture and literature in a broad understanding, as well as how both factor into language use and linguistic world of different subjects within the school system.

This will include a discussion of basic concepts of literary theory, discourse analysis and cultural studies, and a variety of methods and media in teaching will be introduced, which can increase understanding and interest among elementary school students in their own culture as well as other cultures. 

Students will have the opportunity to read literary fiction from both past and present and put it into context with their own experiences as well as their future approach to teaching different school subjects.

A variety of texts will be discussed, both fiction as well as practical/didactic texts and recreational texts, with the goal that students realize and appreciate that language is the tool we use in all our daily lives and studies regardless of subject. The deep layers of meaning found in all manner of texts will be analyzed, and students will be given the proper tools to scrutinize texts in their surroundings in an independent and critical manner.

This course will focus on interweaving of different elementary school subjects and how Icelandic is the subject that binds all other subjects together, emphasizing the teacher’s role of teaching in Icelandic, rather than teaching Icelandic as a subject. For this reason a special focus will be placed on how Icelandic provides a base for the teaching of several other subjects, including social studies, mathematics, natural sciences, foreign languages, and not least art subjects, e.g. visual arts and drama.

The main objective of the course is to prepare students for reading, writing and communicating academic texts.

The course will cover various types of scholarly material and its representation. Students will familiarize themselves with different aspects of academic writing and learn to distinguish between different genres. Students will be trained in independent and critical reading of different texts. Copyright, plagiarism, and fake news will also be discussed.

Students will acquire skills in working with academic texts, such as abstracts and summaries and in using sources when writing their own texts. They will also receive instructions in making bibliographies and using citation systems. Students will also be trained in using source material in their own writing and distinguish between their own voice and the source. 

In the course teacher students are introduced to the main goals of teaching mathematics in compulsory schools. The emphasis is both on content and the process of teaching and learning.

Emphasis is put on problem solving and inquiry based approach to learning and teaching. The teacher students will study how different approaches in teaching affect learning. Consideration is given to the role of the teacher and competances to be expected.

Students use ICT in their own learning and in connection with the teaching of mathematics.

An introductory course intended to provide an overview of contemporary ideas and perspectives on learning and instruction and teachers working environments. Major learning theories, trends and issues are introduced which will then be discussed in later courses focusing on learning and the teacher profession.

Important conceptions, concepts and issues covered: Learning theories and research, conditions for learning and teaching, teachers practice theories, learning-learner-learning environment, organisation of learning, instructional planning, curriculum development and collaboration, teachers professionalism and practice theories, legal and regulatory frameworks for compulsory education.

Procedure: Lectures, reflective studies, seminars, individual and group work, projects, interactive lectures, field work and training.

The teacher students strengthen their knowledge of selected mathematical topics, including number theory and geometry.

The course also treats numeration systems and basic arithmetic.

Emphasis is put on problem solving and inquiry-based approach to learning and teaching. The teacher students reflect on how different approaches in teaching affect students understanding of mathematical concepts.

The topics of study are the aims of mathematics teaching in compulsory school, mathematical competence and the organisation of mathematics teaching in compulsory school. The national curriculum and textbooks are examined and analyzed. Special consideration is given to how students acquire competence to communicate and apply mathematics. Attention is directed to the importance of continuity in learning where main ideas become clearer and richer with time. Students learn to plan for mathematics lessons that take into account the needs of all students. Equity and students' access to mathematics education will be discussed. Students try out different ways of teaching and emphasis is placed on the use of diverse media and learning materials. Based on their experience in the field, students reflect on their teaching, their choice of teaching conten, the role of the teacher and communication with students and communication between students. Emphasis is placed on diverse learning environments and teaching methods based on research into mathematics learning and teaching.

The course aims for student teachers to acquire knowledge and skills in general pedagogy and the ability to teach students at the compulsory school level.

• The focus is on teaching methods in compulsory schools, the learning environment, and class management, and on discussing what characterizes effective teaching.
• Attention is directed to the characteristics of the age levels of compulsory school and presents ways to stimulate development and meet the different needs of students in an inclusive school.
• Cooperation and communication between students, teamwork, and team teaching by teachers will be discussed, but also the relationship between homes and schools and the participation of parents in their children's education.
• Student teachers receive training in pronunciation and voice protection, expression, and manners.
• With a field study, a student teacher gets practice in planning diverse studies, implementing teaching methods, using information technology, and evaluating his experience.

In the course there is emphasis on students‘ mathematical reasoning and ability to write simple proofs.

The term group and related terms will be defined. Many examples based on traditional arithmetic in known sets of numbers will be examined, but also more abstract examples such as finite groups and permutation groups. Rings and fields are introduced. Connections between arithmetic and algebra at secondary school level with groups, rings and fields are examined.

Topics from Euclidian geometry. Foundations and systematic development of elementary geometry of the plane. Concepts, postulates, definitions, and theorems involving parallel lines polygons and circles. Attention is given to reasoning and proving theorems. A brief discussion of the geometry of solids. Calculation of area and volume.

Topics from elementary number theory; divisibility, prime numbers, the Euclidian Algorithm, solutions of Diophantine equations and some theorems involving congruences like the Chinese Remainder Theorem and Fermat’s Little Theorem. Rational numbers and irrational numbers.

Course description: The fundamental concepts of calculus will be discussed. Subjects: Limits and continuous functions. Differentiable functions, rules for derivatives, derivatives of higher order, antiderivatives. Applications of differential calculus: Extremal value problems, linear approximation. The main functions in calculus: logarithms, exponential functions and trigonometric functions. The mean value theorem. Integration: The definite integral and rules of integration. The fundamental theorem of calculus. Techniques of integration, improper integrals. Series and sequences. Ordinary differential equations. Vectors and matrix calculations.

The course will aim to provide students with a comprehensive understanding of the developmental changes that take place from birth through adolescence.

Content:
The course will cover a broad range of developmental changes during different phases of childhood and adolescence, and theories that describe and explain those changes. Theories of cognitive development, emotional and social development, the development of self, and moral development will be discussed. The approaches of behaviourism and ecological theory will also be highlighted. The origins and nature of individual differences, continuity and discontinuity of development, as well as plasticity of development will be discussed. The interaction between development and learning, motivation, parenting practices, culture, and different social environments will be addressed. A strong emphasis will be placed on the importance of understanding child development when working with children in applied settings.

Procedure:
The course will consist of lectures and recitations. Students' will have a chance to discuss the topics of the course and deepen their understanding of the age group they plan to focus on during their studies and work.

The course is designed to expose students to perspectives on curriculum development and assessment in compulsory education. The following educational process is emphasized:

Students discuss and learn about basic concepts and issues related to assessment and curriculum development in compulsory education. Issues and ideologies reflected in official curricula, law, directives, and other policy briefings are discussed both theoretically and in praxis. Special focus is laid on the role of teachers in curriculum development and assessment, and alternatively their professional role in developing learning programs for groups of pupils as well as individual pupils with special needs. Nature, purpose, and strategies regarding assessment and curriculum are addressed (cf. formative assessment, summative assessment, writing test items and other test instruments, and marking and reporting). Students discuss and learn about controversial issues and different ideological currents concerning central questions about the purpose and aims of compulsory education. Key questions discussed are: What should be the purpose of the school, what should be taught and assessed in compulsory schools, how and why? What counts as legitimate knowledge and competence, and how should we administer and organize compulsory education.

The working process of the course consists of lectures, field-related assignments, and critical discussion through seminars and group assignments

 The main aim of the course is that students become acquainted with various ways of teaching science in compulsory schools, acquire skills in organizing such teaching, and understand its value. Emphasis is on natural science topics that are related to the students' experiences. The focus will be on practical work indoors and outdoors and possibilities in the immediate vicinity of schools. Various ways of studying nature will be introduced, such as an examination of geological phenomena, a plant inspection as well as methods for collecting small animals and an analysis of organisms. Students will gain experience in organizing outdoor lessons. Concepts and theories in chemistry appropriate for prospective compulsory students will be studied with emphasis on pedagogical content knowledge. Students will also be introduced to the opportunities that the use of information technology provides to promote interest and curiosity about nature. The curriculum and learning materials of the compulsory school related to the subject of the course will also be examined.

The course will examine the structure of chemicals, chemical changes, atomic theory and the periodic table. Also nature of Iceland including plants, birds, small animals, freshwater and beach organisms with an emphasis on their habitat and adaptation to the Icelandic environment. The sea around Iceland and the factors that shape the ecosystem in Icelandic waters will be discussed. In addition, the internal (volcanic activity) and external forces (climate and water) that shape the country's environment will be discussed.

The aim of the course is for students to strengthen their knowledge of the pedagogy of natural sciences and field work in compulsory school is a part of the course. The role of teachers in learning of natural sciences will be examined.  Special attention will be paid to practical work and pupil’s everyday ideas. Possibilities for outdoor learning will be explored along with opportunities offered by virtual environments. The natural science topics covered in this course within the field of physical sciences include thermal energy and temperature, heat transfer, utilization of thermal energy, and energy processes related to chemical changes. The geoscience topics addressed in the course include, on the one hand, the effects of internal and external forces on the shaping of the Earth's surface, and on the other hand, the practical applications of geosciences in sustainable resource utilization and environmental monitoring.

The main focus of the course will be on the teaching of natural and social sciences and how these subjects can be integrated through the Storyline approach. Special issues and tasks will be chosen within nature and social sciences and integrated with other subject areas. Teaching material, equipment and teaching environment that supports learning and teaching will be explored and appropriate assessment methods will be introduced and discussed. Students will learn to apply information technology tools and a creative approach in teaching and learning.

The aim of the course is to cover the main concepts in mathematics learning in primary school. Students explore what it means to do mathematics and developing understanding in mathematics. They learn to plan mathematics teaching in problem based environment using information technology and plan assessment into instruction.

This course aims to provide students with insights into the unique conditions of Danish teaching in Icelandic primary schools. We will explore fundamental concepts and theories related to language acquisition, specifically relevant to foreign language instruction. Additionally, we’ll align academic goals and objectives for Danish teaching in Iceland with theories of language acquisition and foreign language pedagogy. The course also examines how teachers’ learning and language perspectives manifest in Danish as a foreign language classrooms.

The goals of the course are to provide students with opportunities to practice their Danish speaking skills and increase their understanding of the levels and characteristics of spoken language and discourse. Subject areas will include phonetics and Danish pronunciation, rhythm and stress, accents and Danish varieties, differences between spoken and written Danish, and aspects of oral communication and fluency. Students will receive practice in a variety of speech acts and situations (speech events) such as discussions, conversations, presentations, storytelling, and reading aloud.

In the course, a foundation of academic knowledge for prospective Icelandic teachers on Icelandic literature will be laid to prepare them for teaching in primary schools. Emphasis will be placed on developing students as independent readers of various types of literature. Additionally, spoken language, listening, observation, reading, and writing will be addressed on a scholarly basis and through practical tasks. The course will focus on active listening and observation, and students will be trained to communicate their knowledge verbally and to utilize various media to enhance these aspects for themselves.

Contemporary literature for children and adults, as well as narratives in other media such as theater and film, will be discussed. General analytical methods will be employed, and critical reading skills will be developed for comprehension and interpretation. Attention will be given to how texts can provoke discussion on ethical concepts and viewpoints. Furthermore, literary texts will be read with the aim for students to enjoy them and share their reading experience with others.

Students will engage in analyzing the differences between spoken language and written language from a scholarly perspective and practice working with different forms of spoken language and texts in various contexts.

Students will get to know theories about active listening and active viewing and will use varied mediums to enforce these skills within themselves.

Contemporary literature for children and adults will be covered, as well as folk tales and national culture related to them. General methods of analysis will be employed and literacy trained towards understanding and interpretation. It will be emphasized how texts can encourage discussions about ethical terminology and matters. In addition, literary texts will be read enabling the students to enjoy them and share their reading experience with others.

Students will learn to distinguish between spoken and written language in a theoretical manner and get training in working with different types of spoken language and texts on various text levels.

The basic theoretical knowledge of the Icelandic phonology, morphology and syntax will be introduced, focusing on observing language through children’s acquisition and how they build up their inner grammar. In addition, the emphasis will be on the students’ own language, where they will be guided in self-observations as well as looking into other people’s language use.

In this course emphasis will be placed on the practical application of current scholarship in teaching Icelandic. Students will receive training in varied ways and methods to teach Icelandic which are meant to increase understanding and interest in topics in Icelandic. In addition, planning and preparation of teaching and assessment will be discussed.

The course centres on two main components of the teaching of Icelandic, namely writing and grammar. In addition, fundamental pillars of education will be discussed and how students can weave them into their teaching of Icelandic. Emphasis will be on training the students in working with learning outcomes and assessment outcomes for Icelandic and to promote escalation in teaching of the main components of the teaching of Icelandic.

The students get training in how to approach their teaching in a critical manner and to utilize current scholarship. They will also get practice in working critically with existing teaching materials and compare it with the current National Curriculum so as to develop their own teaching and teaching methods. In addition, the integration with other subjects of teaching will be addressed.

It will be addressed how teachers can take into account diverse group of pupils when planning their teaching so the pupils get an opportunity to approach topics in Icelandic according to their own experience and interests.

The contents of the course will be put into connection with on-site education. Students will observe teaching, consider it and evaluate it in accordance with the course’s subject matters.

The course is an introduction to design and craft education: Design and woodwork, Textiles and design and Health promotion and home economics. Project ideas are adapted to different subjects of the course. Emphasis is placed on knowledge and skills aspects from idea to completion in all work components of the course. Students work on subjects that are suitable for school work and record work processes in photographs, drawings and in text form.

The aim is to prepare student teachers for field studies in design and crafts subjects with an emphasis on pedagogical aspects. In project selection, students take into account the basic elements of education and the learning standards of a subject in the National Curriculum Guide for Compulsory Schools. In the processing of projects, emphasis is placed on creative and professional work methods. Students receive training in the preparation of syllabi, become acquainted with various teaching methods and compare different assessment methods in design and crafts subjects. Students keep a guidebook and present their experiences from the field.

How can the field of information and technology education be described, and what is meant when discussing innovation education or innovation in education? What is the reference to when discussing the information and knowledge society, information and technological literacy, digital content creation and multimedia, media literacy or pluralism, digital communication and learning communities, digital citizenship and participation in a democratic society, technology and programming suitable for children and young people, design thinking and entrepreneurship education, playing with ideas, problem-solving and collaborative creativity?

When did digital equipment first enter Icelandic primary schools, what has been the development since then and where is it heading? What obstacles and opportunities do technological advances in communication and schooling entail? What is also the history of innovation education in primary schools and how does it relate to ideas about new times, collaboration and solution-oriented working methods? What are the components of information technology, innovation and digital media in policy making and the curriculum and how are they related to other fields of study, key competences and basic aspects of education?

In this introductory course, we examine the above-mentioned topics in a domestic and international context while giving students the opportunity to work on practical and creative projects, test technical possibilities and digital tools that offer interesting opportunities in learning and teaching. Students improve their skills in this field and look to the practical possibilities in the field and the opportunities that lie in new technology for conceptual work, communication and professional development. Emphasis is placed on the formation of a strong learning community that takes an active part in the course, tackles challenges and shares ideas and experiences in lively educational camps and through digital dissemination online.

Content: The course is an introduction to the teaching of social sciences with an emphasis on the training of discussions, critical thinking and the ability to look at different points of view. Emphasis is on active reflection, where students take a critical look at their presumptions  on various issues. It also gives insights into various topics that are a part of social science teaching (cf. the national curriculum).

Methods: According to the timetable, discussions and project work occur during lessons in real-time on Zoom. Argumentation assignments will be done in connection to the lectures. Additionally there will be compulsory discussions each week (80%). Students can choose between discussions in Stakkahlíð or in realtime on Zoom. 

Course topics: The aim of the course is for participants to become aware of diverse factors that influence people‘s views of life and make them better prepared to teach social sciences. Three views will be dealt with. First is the personal and individual, then the common, social and structural. Then the relations of the personal and the common one with international agreements like United Nations Sustainable Development Goals (SDGs). Throughout the course questions of how these appear in the structure and content of school work will be asked, e.g. with regard to the national curriculum. In the course themes related to people‘s views of life will be discussed using questions of moralty, religion, societal views and government, families and people‘s local/domestic environment, and how rights and obligations form people‘s vision.

Working methods: The course is organised in two week rounds, each focusing on one theme. Lectures will be available online and reading material provided as links or pdf-documents. Final exam counts as 40% and assignments (e.g. written ones and online quizzes) count as 60%. The course in taught in weekly sessions on-line

A historical overview of principles, methods, and best practices of English language teaching. Introduction to the national curriculum of English, teaching materials, and resources. Focus on student-centered teaching, learner autonomy, teacher reflection, and developing a philosophy of teaching.

The National Curriculum Guide will be read and analyzed. Students will have an opportunity to observe and evaluate recorded teaching and they will practice reflecting on their own ideas about teaching and experience of language learning. 

Course work demands active participation and consists of reading, written assignments, discussion, group and individual work, and microteaching.

The course will look in depth at English teaching methods and principles aimed at young learners. Topics include characteristics of young learners, National Curriculum objectives, and teaching and assessment methods, especially those related to listening, speaking, reading, writing, games, songs and creative activities. Students will receive training in lesson planning and integrating English teaching with other subjects.
Course work consists of reading, oral and written assignments, discussions, group work and active participation. The course includes a teaching practice component at primary or middle school levels consisting of classroom observation, practice teaching and a written report. Student teachers will gain experience in creating lessons and activities that take into account young children’s needs and abilities. Students who are exempt from teaching practice (e.g. BA students) will complete an alternative assignment.

Students will learn about the importance of the arts in the education of children and adolescents. The focus will be on expression through visual arts, drama and music. Students will develop creative projects based on their own ideas.

Methods: Numerous workshops based on different teaching methods and various ideas.

Students continue to learn about the importance of the arts in the education of children and adolescents. The focus will be on expression through visual arts, drama and music. Students will develop creative projects based on their own ideas. This course emphasizes cross disciplinary cooperation within the arts subjects.

Methods: Numerous workshops based on different teaching methods and various ideas.

The course will cover topics in algebra, school algebra and the history of algebra. The teaching of algebra at different school levels will be examined as well as the developement of algebraic thinking in different age groups.

 Part of the course are in-field studies where students prepare and teach algebra.

Course description in English:*  This course intertwines mathematics and mathematics education. Students get an introduction to probability and statistics, build mathematical models, and learn to approach the teaching of mathematics from a modelling perspective. Among topics covered are combinations, permutations, the counting of the number of outcomes, the binomial distribution, and probability distributions in general. Students will explore how conclusions are drawn about probability based on data and how computer simulations can be used for that purpose. Different types of mathematical models will be introduced, such as linear models, exponential growth models, inverse proportion models, power functions models, linear optimization models in two variables, and graph theoretical models.

The didactics of probability and statistics will be explored and analysed from a modelling perspective. Students will select and adapt exercises and problems for the teaching of probability and statistics, and plan teaching processes. An emphasis will be put on mathematics teaching that touches on important issues of the modern times, such as climate change and pandemics.

Topics from elementary number theory; divisibility, prime numbers, the Euclidian Algorithm, solutions of Diophantine equations and some theorems involving congruences like the Chinese Remainder Theorem and Fermat’s Little Theorem. Rational numbers and irrational numbers.

Course description: The fundamental concepts of calculus will be discussed. Subjects: Limits and continuous functions. Differentiable functions, rules for derivatives, derivatives of higher order, antiderivatives. Applications of differential calculus: Extremal value problems, linear approximation. The main functions in calculus: logarithms, exponential functions and trigonometric functions. The mean value theorem. Integration: The definite integral and rules of integration. The fundamental theorem of calculus. Techniques of integration, improper integrals. Series and sequences. Ordinary differential equations. Vectors and matrix calculations.

In the course there is emphasis on students‘ mathematical reasoning and ability to write simple proofs.

The term group and related terms will be defined. Many examples based on traditional arithmetic in known sets of numbers will be examined, but also more abstract examples such as finite groups and permutation groups. Rings and fields are introduced. Connections between arithmetic and algebra at secondary school level with groups, rings and fields are examined.

Topics from Euclidian geometry. Foundations and systematic development of elementary geometry of the plane. Concepts, postulates, definitions, and theorems involving parallel lines polygons and circles. Attention is given to reasoning and proving theorems. A brief discussion of the geometry of solids. Calculation of area and volume.

The course is designed to expose students with two main perspectives on educational research. On the one hand methodology related to data collection and data analysis, on the other hand reading and discussing educational research conducted by others. In all sections of the course an emphasis is placed on knowing and understanding concepts and ideas from educational research; students read about them, discuss and apply them in tasks connected to quantitative, qualitative and mixed research methods. They also discuss and apply concepts related to action research.

The course comprises lectures, discourse, student presentations and field-related assignments.

The B.Ed. thesis in teachingis a 10 ECTS credit written thesis completed under supervision of a faculty member.

The course will cover topics in algebra, school algebra and the history of algebra. The teaching of algebra at different school levels will be examined as well as the developement of algebraic thinking in different age groups.

 Part of the course are in-field studies where students prepare and teach algebra.

Course description in English:*  This course intertwines mathematics and mathematics education. Students get an introduction to probability and statistics, build mathematical models, and learn to approach the teaching of mathematics from a modelling perspective. Among topics covered are combinations, permutations, the counting of the number of outcomes, the binomial distribution, and probability distributions in general. Students will explore how conclusions are drawn about probability based on data and how computer simulations can be used for that purpose. Different types of mathematical models will be introduced, such as linear models, exponential growth models, inverse proportion models, power functions models, linear optimization models in two variables, and graph theoretical models.

The didactics of probability and statistics will be explored and analysed from a modelling perspective. Students will select and adapt exercises and problems for the teaching of probability and statistics, and plan teaching processes. An emphasis will be put on mathematics teaching that touches on important issues of the modern times, such as climate change and pandemics.

The course will cover selected topics from classical geometry, analytical geometry and algebra. Software used in teaching and learning algebra and geometry will be introduced.

Basic topics from Euclidean geometry will be covered; concepts, axioms and postulates on parallel lines, polygons and circles. Simple constructions with circle and ruler. Selected topics from analytical geometry e.g. the equation of a circle, solutions of linear equations and equation systems, second degree equations, absolute value equations and inequalities.

The software GeoGebra will be used for visualization, making conjectures, constructions and drawings.

This course will focus on Icelandic culture and literature in a broad understanding, as well as how both factor into language use and linguistic world of different subjects within the school system.

This will include a discussion of basic concepts of literary theory, discourse analysis and cultural studies, and a variety of methods and media in teaching will be introduced, which can increase understanding and interest among elementary school students in their own culture as well as other cultures. 

Students will have the opportunity to read literary fiction from both past and present and put it into context with their own experiences as well as their future approach to teaching different school subjects.

A variety of texts will be discussed, both fiction as well as practical/didactic texts and recreational texts, with the goal that students realize and appreciate that language is the tool we use in all our daily lives and studies regardless of subject. The deep layers of meaning found in all manner of texts will be analyzed, and students will be given the proper tools to scrutinize texts in their surroundings in an independent and critical manner.

This course will focus on interweaving of different elementary school subjects and how Icelandic is the subject that binds all other subjects together, emphasizing the teacher’s role of teaching in Icelandic, rather than teaching Icelandic as a subject. For this reason a special focus will be placed on how Icelandic provides a base for the teaching of several other subjects, including social studies, mathematics, natural sciences, foreign languages, and not least art subjects, e.g. visual arts and drama.

The main objective of the course is to prepare students for reading, writing and communicating academic texts.

The course will cover various types of scholarly material and its representation. Students will familiarize themselves with different aspects of academic writing and learn to distinguish between different genres. Students will be trained in independent and critical reading of different texts. Copyright, plagiarism, and fake news will also be discussed.

Students will acquire skills in working with academic texts, such as abstracts and summaries and in using sources when writing their own texts. They will also receive instructions in making bibliographies and using citation systems. Students will also be trained in using source material in their own writing and distinguish between their own voice and the source. 

In the course teacher students are introduced to the main goals of teaching mathematics in compulsory schools. The emphasis is both on content and the process of teaching and learning.

Emphasis is put on problem solving and inquiry based approach to learning and teaching. The teacher students will study how different approaches in teaching affect learning. Consideration is given to the role of the teacher and competances to be expected.

Students use ICT in their own learning and in connection with the teaching of mathematics.

An introductory course intended to provide an overview of contemporary ideas and perspectives on learning and instruction and teachers working environments. Major learning theories, trends and issues are introduced which will then be discussed in later courses focusing on learning and the teacher profession.

Important conceptions, concepts and issues covered: Learning theories and research, conditions for learning and teaching, teachers practice theories, learning-learner-learning environment, organisation of learning, instructional planning, curriculum development and collaboration, teachers professionalism and practice theories, legal and regulatory frameworks for compulsory education.

Procedure: Lectures, reflective studies, seminars, individual and group work, projects, interactive lectures, field work and training.

The teacher students strengthen their knowledge of selected mathematical topics, including number theory and geometry.

The course also treats numeration systems and basic arithmetic.

Emphasis is put on problem solving and inquiry-based approach to learning and teaching. The teacher students reflect on how different approaches in teaching affect students understanding of mathematical concepts.

The topics of study are the aims of mathematics teaching in compulsory school, mathematical competence and the organisation of mathematics teaching in compulsory school. The national curriculum and textbooks are examined and analyzed. Special consideration is given to how students acquire competence to communicate and apply mathematics. Attention is directed to the importance of continuity in learning where main ideas become clearer and richer with time. Students learn to plan for mathematics lessons that take into account the needs of all students. Equity and students' access to mathematics education will be discussed. Students try out different ways of teaching and emphasis is placed on the use of diverse media and learning materials. Based on their experience in the field, students reflect on their teaching, their choice of teaching conten, the role of the teacher and communication with students and communication between students. Emphasis is placed on diverse learning environments and teaching methods based on research into mathematics learning and teaching.

The course aims for student teachers to acquire knowledge and skills in general pedagogy and the ability to teach students at the compulsory school level.

• The focus is on teaching methods in compulsory schools, the learning environment, and class management, and on discussing what characterizes effective teaching.
• Attention is directed to the characteristics of the age levels of compulsory school and presents ways to stimulate development and meet the different needs of students in an inclusive school.
• Cooperation and communication between students, teamwork, and team teaching by teachers will be discussed, but also the relationship between homes and schools and the participation of parents in their children's education.
• Student teachers receive training in pronunciation and voice protection, expression, and manners.
• With a field study, a student teacher gets practice in planning diverse studies, implementing teaching methods, using information technology, and evaluating his experience.

In the course there is emphasis on students‘ mathematical reasoning and ability to write simple proofs.

The term group and related terms will be defined. Many examples based on traditional arithmetic in known sets of numbers will be examined, but also more abstract examples such as finite groups and permutation groups. Rings and fields are introduced. Connections between arithmetic and algebra at secondary school level with groups, rings and fields are examined.

Topics from Euclidian geometry. Foundations and systematic development of elementary geometry of the plane. Concepts, postulates, definitions, and theorems involving parallel lines polygons and circles. Attention is given to reasoning and proving theorems. A brief discussion of the geometry of solids. Calculation of area and volume.

Topics from elementary number theory; divisibility, prime numbers, the Euclidian Algorithm, solutions of Diophantine equations and some theorems involving congruences like the Chinese Remainder Theorem and Fermat’s Little Theorem. Rational numbers and irrational numbers.

Course description: The fundamental concepts of calculus will be discussed. Subjects: Limits and continuous functions. Differentiable functions, rules for derivatives, derivatives of higher order, antiderivatives. Applications of differential calculus: Extremal value problems, linear approximation. The main functions in calculus: logarithms, exponential functions and trigonometric functions. The mean value theorem. Integration: The definite integral and rules of integration. The fundamental theorem of calculus. Techniques of integration, improper integrals. Series and sequences. Ordinary differential equations. Vectors and matrix calculations.

The course will aim to provide students with a comprehensive understanding of the developmental changes that take place from birth through adolescence.

Content:
The course will cover a broad range of developmental changes during different phases of childhood and adolescence, and theories that describe and explain those changes. Theories of cognitive development, emotional and social development, the development of self, and moral development will be discussed. The approaches of behaviourism and ecological theory will also be highlighted. The origins and nature of individual differences, continuity and discontinuity of development, as well as plasticity of development will be discussed. The interaction between development and learning, motivation, parenting practices, culture, and different social environments will be addressed. A strong emphasis will be placed on the importance of understanding child development when working with children in applied settings.

Procedure:
The course will consist of lectures and recitations. Students' will have a chance to discuss the topics of the course and deepen their understanding of the age group they plan to focus on during their studies and work.

The course is designed to expose students to perspectives on curriculum development and assessment in compulsory education. The following educational process is emphasized:

Students discuss and learn about basic concepts and issues related to assessment and curriculum development in compulsory education. Issues and ideologies reflected in official curricula, law, directives, and other policy briefings are discussed both theoretically and in praxis. Special focus is laid on the role of teachers in curriculum development and assessment, and alternatively their professional role in developing learning programs for groups of pupils as well as individual pupils with special needs. Nature, purpose, and strategies regarding assessment and curriculum are addressed (cf. formative assessment, summative assessment, writing test items and other test instruments, and marking and reporting). Students discuss and learn about controversial issues and different ideological currents concerning central questions about the purpose and aims of compulsory education. Key questions discussed are: What should be the purpose of the school, what should be taught and assessed in compulsory schools, how and why? What counts as legitimate knowledge and competence, and how should we administer and organize compulsory education.

The working process of the course consists of lectures, field-related assignments, and critical discussion through seminars and group assignments

 The main aim of the course is that students become acquainted with various ways of teaching science in compulsory schools, acquire skills in organizing such teaching, and understand its value. Emphasis is on natural science topics that are related to the students' experiences. The focus will be on practical work indoors and outdoors and possibilities in the immediate vicinity of schools. Various ways of studying nature will be introduced, such as an examination of geological phenomena, a plant inspection as well as methods for collecting small animals and an analysis of organisms. Students will gain experience in organizing outdoor lessons. Concepts and theories in chemistry appropriate for prospective compulsory students will be studied with emphasis on pedagogical content knowledge. Students will also be introduced to the opportunities that the use of information technology provides to promote interest and curiosity about nature. The curriculum and learning materials of the compulsory school related to the subject of the course will also be examined.

The course will examine the structure of chemicals, chemical changes, atomic theory and the periodic table. Also nature of Iceland including plants, birds, small animals, freshwater and beach organisms with an emphasis on their habitat and adaptation to the Icelandic environment. The sea around Iceland and the factors that shape the ecosystem in Icelandic waters will be discussed. In addition, the internal (volcanic activity) and external forces (climate and water) that shape the country's environment will be discussed.

The aim of the course is for students to strengthen their knowledge of the pedagogy of natural sciences and field work in compulsory school is a part of the course. The role of teachers in learning of natural sciences will be examined.  Special attention will be paid to practical work and pupil’s everyday ideas. Possibilities for outdoor learning will be explored along with opportunities offered by virtual environments. The natural science topics covered in this course within the field of physical sciences include thermal energy and temperature, heat transfer, utilization of thermal energy, and energy processes related to chemical changes. The geoscience topics addressed in the course include, on the one hand, the effects of internal and external forces on the shaping of the Earth's surface, and on the other hand, the practical applications of geosciences in sustainable resource utilization and environmental monitoring.

The main focus of the course will be on the teaching of natural and social sciences and how these subjects can be integrated through the Storyline approach. Special issues and tasks will be chosen within nature and social sciences and integrated with other subject areas. Teaching material, equipment and teaching environment that supports learning and teaching will be explored and appropriate assessment methods will be introduced and discussed. Students will learn to apply information technology tools and a creative approach in teaching and learning.

The aim of the course is to cover the main concepts in mathematics learning in primary school. Students explore what it means to do mathematics and developing understanding in mathematics. They learn to plan mathematics teaching in problem based environment using information technology and plan assessment into instruction.

This course aims to provide students with insights into the unique conditions of Danish teaching in Icelandic primary schools. We will explore fundamental concepts and theories related to language acquisition, specifically relevant to foreign language instruction. Additionally, we’ll align academic goals and objectives for Danish teaching in Iceland with theories of language acquisition and foreign language pedagogy. The course also examines how teachers’ learning and language perspectives manifest in Danish as a foreign language classrooms.

The goals of the course are to provide students with opportunities to practice their Danish speaking skills and increase their understanding of the levels and characteristics of spoken language and discourse. Subject areas will include phonetics and Danish pronunciation, rhythm and stress, accents and Danish varieties, differences between spoken and written Danish, and aspects of oral communication and fluency. Students will receive practice in a variety of speech acts and situations (speech events) such as discussions, conversations, presentations, storytelling, and reading aloud.

In the course, a foundation of academic knowledge for prospective Icelandic teachers on Icelandic literature will be laid to prepare them for teaching in primary schools. Emphasis will be placed on developing students as independent readers of various types of literature. Additionally, spoken language, listening, observation, reading, and writing will be addressed on a scholarly basis and through practical tasks. The course will focus on active listening and observation, and students will be trained to communicate their knowledge verbally and to utilize various media to enhance these aspects for themselves.

Contemporary literature for children and adults, as well as narratives in other media such as theater and film, will be discussed. General analytical methods will be employed, and critical reading skills will be developed for comprehension and interpretation. Attention will be given to how texts can provoke discussion on ethical concepts and viewpoints. Furthermore, literary texts will be read with the aim for students to enjoy them and share their reading experience with others.

Students will engage in analyzing the differences between spoken language and written language from a scholarly perspective and practice working with different forms of spoken language and texts in various contexts.

Students will get to know theories about active listening and active viewing and will use varied mediums to enforce these skills within themselves.

Contemporary literature for children and adults will be covered, as well as folk tales and national culture related to them. General methods of analysis will be employed and literacy trained towards understanding and interpretation. It will be emphasized how texts can encourage discussions about ethical terminology and matters. In addition, literary texts will be read enabling the students to enjoy them and share their reading experience with others.

Students will learn to distinguish between spoken and written language in a theoretical manner and get training in working with different types of spoken language and texts on various text levels.

The basic theoretical knowledge of the Icelandic phonology, morphology and syntax will be introduced, focusing on observing language through children’s acquisition and how they build up their inner grammar. In addition, the emphasis will be on the students’ own language, where they will be guided in self-observations as well as looking into other people’s language use.

In this course emphasis will be placed on the practical application of current scholarship in teaching Icelandic. Students will receive training in varied ways and methods to teach Icelandic which are meant to increase understanding and interest in topics in Icelandic. In addition, planning and preparation of teaching and assessment will be discussed.

The course centres on two main components of the teaching of Icelandic, namely writing and grammar. In addition, fundamental pillars of education will be discussed and how students can weave them into their teaching of Icelandic. Emphasis will be on training the students in working with learning outcomes and assessment outcomes for Icelandic and to promote escalation in teaching of the main components of the teaching of Icelandic.

The students get training in how to approach their teaching in a critical manner and to utilize current scholarship. They will also get practice in working critically with existing teaching materials and compare it with the current National Curriculum so as to develop their own teaching and teaching methods. In addition, the integration with other subjects of teaching will be addressed.

It will be addressed how teachers can take into account diverse group of pupils when planning their teaching so the pupils get an opportunity to approach topics in Icelandic according to their own experience and interests.

The contents of the course will be put into connection with on-site education. Students will observe teaching, consider it and evaluate it in accordance with the course’s subject matters.

The course is an introduction to design and craft education: Design and woodwork, Textiles and design and Health promotion and home economics. Project ideas are adapted to different subjects of the course. Emphasis is placed on knowledge and skills aspects from idea to completion in all work components of the course. Students work on subjects that are suitable for school work and record work processes in photographs, drawings and in text form.

The aim is to prepare student teachers for field studies in design and crafts subjects with an emphasis on pedagogical aspects. In project selection, students take into account the basic elements of education and the learning standards of a subject in the National Curriculum Guide for Compulsory Schools. In the processing of projects, emphasis is placed on creative and professional work methods. Students receive training in the preparation of syllabi, become acquainted with various teaching methods and compare different assessment methods in design and crafts subjects. Students keep a guidebook and present their experiences from the field.

How can the field of information and technology education be described, and what is meant when discussing innovation education or innovation in education? What is the reference to when discussing the information and knowledge society, information and technological literacy, digital content creation and multimedia, media literacy or pluralism, digital communication and learning communities, digital citizenship and participation in a democratic society, technology and programming suitable for children and young people, design thinking and entrepreneurship education, playing with ideas, problem-solving and collaborative creativity?

When did digital equipment first enter Icelandic primary schools, what has been the development since then and where is it heading? What obstacles and opportunities do technological advances in communication and schooling entail? What is also the history of innovation education in primary schools and how does it relate to ideas about new times, collaboration and solution-oriented working methods? What are the components of information technology, innovation and digital media in policy making and the curriculum and how are they related to other fields of study, key competences and basic aspects of education?

In this introductory course, we examine the above-mentioned topics in a domestic and international context while giving students the opportunity to work on practical and creative projects, test technical possibilities and digital tools that offer interesting opportunities in learning and teaching. Students improve their skills in this field and look to the practical possibilities in the field and the opportunities that lie in new technology for conceptual work, communication and professional development. Emphasis is placed on the formation of a strong learning community that takes an active part in the course, tackles challenges and shares ideas and experiences in lively educational camps and through digital dissemination online.

Content: The course is an introduction to the teaching of social sciences with an emphasis on the training of discussions, critical thinking and the ability to look at different points of view. Emphasis is on active reflection, where students take a critical look at their presumptions  on various issues. It also gives insights into various topics that are a part of social science teaching (cf. the national curriculum).

Methods: According to the timetable, discussions and project work occur during lessons in real-time on Zoom. Argumentation assignments will be done in connection to the lectures. Additionally there will be compulsory discussions each week (80%). Students can choose between discussions in Stakkahlíð or in realtime on Zoom. 

Course topics: The aim of the course is for participants to become aware of diverse factors that influence people‘s views of life and make them better prepared to teach social sciences. Three views will be dealt with. First is the personal and individual, then the common, social and structural. Then the relations of the personal and the common one with international agreements like United Nations Sustainable Development Goals (SDGs). Throughout the course questions of how these appear in the structure and content of school work will be asked, e.g. with regard to the national curriculum. In the course themes related to people‘s views of life will be discussed using questions of moralty, religion, societal views and government, families and people‘s local/domestic environment, and how rights and obligations form people‘s vision.

Working methods: The course is organised in two week rounds, each focusing on one theme. Lectures will be available online and reading material provided as links or pdf-documents. Final exam counts as 40% and assignments (e.g. written ones and online quizzes) count as 60%. The course in taught in weekly sessions on-line

A historical overview of principles, methods, and best practices of English language teaching. Introduction to the national curriculum of English, teaching materials, and resources. Focus on student-centered teaching, learner autonomy, teacher reflection, and developing a philosophy of teaching.

The National Curriculum Guide will be read and analyzed. Students will have an opportunity to observe and evaluate recorded teaching and they will practice reflecting on their own ideas about teaching and experience of language learning. 

Course work demands active participation and consists of reading, written assignments, discussion, group and individual work, and microteaching.

The course will look in depth at English teaching methods and principles aimed at young learners. Topics include characteristics of young learners, National Curriculum objectives, and teaching and assessment methods, especially those related to listening, speaking, reading, writing, games, songs and creative activities. Students will receive training in lesson planning and integrating English teaching with other subjects.
Course work consists of reading, oral and written assignments, discussions, group work and active participation. The course includes a teaching practice component at primary or middle school levels consisting of classroom observation, practice teaching and a written report. Student teachers will gain experience in creating lessons and activities that take into account young children’s needs and abilities. Students who are exempt from teaching practice (e.g. BA students) will complete an alternative assignment.

Students will learn about the importance of the arts in the education of children and adolescents. The focus will be on expression through visual arts, drama and music. Students will develop creative projects based on their own ideas.

Methods: Numerous workshops based on different teaching methods and various ideas.

Students continue to learn about the importance of the arts in the education of children and adolescents. The focus will be on expression through visual arts, drama and music. Students will develop creative projects based on their own ideas. This course emphasizes cross disciplinary cooperation within the arts subjects.

Methods: Numerous workshops based on different teaching methods and various ideas.

The course will cover topics in algebra, school algebra and the history of algebra. The teaching of algebra at different school levels will be examined as well as the developement of algebraic thinking in different age groups.

 Part of the course are in-field studies where students prepare and teach algebra.

Course description in English:*  This course intertwines mathematics and mathematics education. Students get an introduction to probability and statistics, build mathematical models, and learn to approach the teaching of mathematics from a modelling perspective. Among topics covered are combinations, permutations, the counting of the number of outcomes, the binomial distribution, and probability distributions in general. Students will explore how conclusions are drawn about probability based on data and how computer simulations can be used for that purpose. Different types of mathematical models will be introduced, such as linear models, exponential growth models, inverse proportion models, power functions models, linear optimization models in two variables, and graph theoretical models.

The didactics of probability and statistics will be explored and analysed from a modelling perspective. Students will select and adapt exercises and problems for the teaching of probability and statistics, and plan teaching processes. An emphasis will be put on mathematics teaching that touches on important issues of the modern times, such as climate change and pandemics.

Topics from elementary number theory; divisibility, prime numbers, the Euclidian Algorithm, solutions of Diophantine equations and some theorems involving congruences like the Chinese Remainder Theorem and Fermat’s Little Theorem. Rational numbers and irrational numbers.

Course description: The fundamental concepts of calculus will be discussed. Subjects: Limits and continuous functions. Differentiable functions, rules for derivatives, derivatives of higher order, antiderivatives. Applications of differential calculus: Extremal value problems, linear approximation. The main functions in calculus: logarithms, exponential functions and trigonometric functions. The mean value theorem. Integration: The definite integral and rules of integration. The fundamental theorem of calculus. Techniques of integration, improper integrals. Series and sequences. Ordinary differential equations. Vectors and matrix calculations.

In the course there is emphasis on students‘ mathematical reasoning and ability to write simple proofs.

The term group and related terms will be defined. Many examples based on traditional arithmetic in known sets of numbers will be examined, but also more abstract examples such as finite groups and permutation groups. Rings and fields are introduced. Connections between arithmetic and algebra at secondary school level with groups, rings and fields are examined.

Topics from Euclidian geometry. Foundations and systematic development of elementary geometry of the plane. Concepts, postulates, definitions, and theorems involving parallel lines polygons and circles. Attention is given to reasoning and proving theorems. A brief discussion of the geometry of solids. Calculation of area and volume.

The course is designed to expose students with two main perspectives on educational research. On the one hand methodology related to data collection and data analysis, on the other hand reading and discussing educational research conducted by others. In all sections of the course an emphasis is placed on knowing and understanding concepts and ideas from educational research; students read about them, discuss and apply them in tasks connected to quantitative, qualitative and mixed research methods. They also discuss and apply concepts related to action research.

The course comprises lectures, discourse, student presentations and field-related assignments.

The B.Ed. thesis in teachingis a 10 ECTS credit written thesis completed under supervision of a faculty member.

The course will cover topics in algebra, school algebra and the history of algebra. The teaching of algebra at different school levels will be examined as well as the developement of algebraic thinking in different age groups.

 Part of the course are in-field studies where students prepare and teach algebra.

Course description in English:*  This course intertwines mathematics and mathematics education. Students get an introduction to probability and statistics, build mathematical models, and learn to approach the teaching of mathematics from a modelling perspective. Among topics covered are combinations, permutations, the counting of the number of outcomes, the binomial distribution, and probability distributions in general. Students will explore how conclusions are drawn about probability based on data and how computer simulations can be used for that purpose. Different types of mathematical models will be introduced, such as linear models, exponential growth models, inverse proportion models, power functions models, linear optimization models in two variables, and graph theoretical models.

The didactics of probability and statistics will be explored and analysed from a modelling perspective. Students will select and adapt exercises and problems for the teaching of probability and statistics, and plan teaching processes. An emphasis will be put on mathematics teaching that touches on important issues of the modern times, such as climate change and pandemics.