Mathematics and Mathematics Teaching III

Module 1: Mathematics Education, 5 ECTS cr Current steering documents in an international and historical perspective. Varied mathematics teaching with examples drawn from different countries. Different types of learning resources. Individualisation, mathematical difficulties, and mathematical giftedness. The language of mathematics and the importance of language in learning mathematics. Different perspectives on learning mathematics, such as adult learning, gender perspectives, and cultural aspects. Different aspects on assessment in mathematics. The content of this module is based on research literature and prepares students for the practical placement in the following module. Module 2a: Practical Placement 1, 7.5 ECTS cr In this course module, students have the opportunity to - meet different groups of staff in school, such as for example teaching teams, student welfare personnel, and school management, and participate in everyday activities, - apply central steering documents and local pedagogical planning with consideration of equality and equal opportunities policies, - apply subject-specific teaching theories in practice, transform relevant subject knowledge into teaching, and reflect on the relationship between theory and practice, - use digital learning resources in school, - make observations, - discuss and reflect on the profession and their own professional development, - describe special education and student welfare efforts in school, - acquire knowledge of legislation pertaining to confidentiality and obligation to notify irregularities. Module 2b: Practical Placement 2, 7.5 ECTS cr In this course module, students have the opportunity to -use digital learning resources in school -make classroom observations -interpret and implement central steering documents and local pedagogical planning -apply pedagogical and subject-specific teaching theories in practice and transform subject knowledge into teaching practice, with consideration of pupils' different knowledge and interests -consider the special education perspective -practise their communicative skills in cooperation with different staff groups and pupils in school -discuss the profession and their own professional development and identify areas to develop in the third practical placement period. Module 3: Mathematical relationships and change in several variables, 7.5 ECTS cr Partial derivatives, tangent planes, gradients, directional derivatives and Taylor polynomials in several variables, and optimisation. Calculation of double and triple integrals with repeated integration and change of variables. Applications of partial derivatives and multiple integrals. Calculation of curve integrals and surface integrals. Module 4: Discrete Mathematics and Algebraic Structures, 10 ECTS cr Combinatorial mathematics, generating functions, graph theory, recursion, recurrence relations, and relations including equivalence relations. Algorithms and basic programming. Rules for operations on, and properties of, numbers and other mathematical objects are generalised. Important concepts are groups, rings, and fields.