Mathematics 1B, 1-7
KNOWLEDGE
The candidate:
- has knowledge of geometry, measurement, statistics, basic probability, and algebra
- has knowledge about how children develop geometric, stochastical and algebraic reasoning
- has knowledge about the teaching of measurement, and about how measurement relates to the development of algebraic and geometric reasoning, and numeracy in children
- has knowledge about the relationship between teaching method and pupils` learning
- has knowledge about the use of manipulatives and ICT as tools in mathematics teaching
- has knowledge about the curriculum in primary and lower secondary schools, and about the transition from one to the other
- has fundamental knowledge about learning difficulties in mathematics.
SKILLS
The candidate should be able to
- plan, conduct and evaluate teaching within mathematics for all pupils in grades 1 to 7, based on pupils' knowledge and on research
- utilise teaching methods that promote the learner`s sense of wonder, creativity and ability to work systematically with investigative activities, reasoning and argumentation
- communicate with pupils, listen, evaluate, use pupil feedback and encourage pupils` mathematical thinking
- analyse, evaluate and reflect on pupils` reasoning, argumentation, problem solving and typical misunderstandings based on relevant theory
- evaluate pupils` knowledge and academic development based on relevant theory
GENERAL COMPETENCIES
The candidate
- has insight into the significance of mathematics for general education
Learning outcomes applicable to the National Section Exam (5 STP)
In the Field of algebraic thought, the student will:
- have a keen comprehension of mathematics at the primary school level, with a specialization in early education.
- have a detailed understanding of different representation activities and how transitions between these activities can notably influence student learning.
- have familiarity with diverse learning materials, both digital and otherwise, as well as with the benefits and limitations of such tools
- be able to analyse and evaluate student argumentation and solution methods from various perspectives on knowledge and learning
Learning activities and teaching methods are designed to take students` own work with pupils into consideration. In addition to lectures, students will participate in student-centred learning, group work, individual tasks and discussions.
Use of digital tools in teaching will be emphasized.
Students will have the opportunity trial teaching ideas discussed during classes when they participate in professional practice.
Assessment task (AK): The students must produce 2-3 assignments, which may include written tasks, in-class tests, or oral presentations. Grading scale: approved/not approved.
Compulsory attendance (OD): Minimum 80%. Grading scale: approved/not approved.
AK and OD must be passed/approved to get the final grade.
Final examination:
- Written assignment (O): Individual. Counts as 67% of the final grade.
- Written school examination (SK/S) - National part-examination in mathematics: 4 hours. Counts as 33% of the final grade.
Both exams must be passed to get the final grade in the course.
Overlap refers to a similarity between courses with the same content. Therefore, you will receive the following reduction in credits if you have taken the courses listed below:
MAT1005 - Mathematics 1B, 5-10 - 15 credits
MAT1009 - Mathematics 1B - 15 credits
MAT1017 - Mathematics 1C - Geometry and geometric thinking for teachers - 15 credits
MAT1018 - Mathematics 1D - Algebra and algebraic thinking, 1-7 - 7.5 credits