Mathematics 1B
KNOWLEDGE
The candidate:
- has specialized content knowledge of geometry, measurement, statistics, probability, and algebra
- has knowledge about how children develop geometric, stochastic and algebraic reasoning
- has knowledge about 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 digital resources in mathematics
- has knowledge about normal patterns of interaction and communication patterns in mathematics education
- 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 mathematical teaching for all pupils in grades 1 to 7, with a focus on learner-centered activities;
- use teaching methods that promote pupils' sense of wonder and creativity and ability to work systematically with investigative activities, reasoning and argumentation
- communicate with pupils, and stimulate their mathematical thinking
- analyse and evaluate pupils` reasoning, argumentation and problem solving based on relevant theory
- evaluate pupils` knowledge and academic development based on relevant theories
GENERAL COMPETENCIES
The candidate:
- Understands the significance of mathematics education 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.
