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On completion of studies students should: Knowledge know and have a deep understanding of the mathematics taught in upper-secondary School and be able to utilize the theoretical basis in their teaching be familiar with the main ideas about the structure of mathematics, in particular the concept of proof, and be able to distinguish between correct and incorrect reasoning know the diversity and breadth of topics in mathematics and how mathematics is built up as a modern discipline know various ways to include applications of mathematics in their teaching know and understand the technical solutions related to the work of teachers, in particular the treatment of text and numbers, multimedia and communication Skills be able to apply their knowledge of mathematics education to plan and implement mathematics teaching have skills in computer use and programming have skills in mathematical reasoning and proof have acquired originality and openness of thought when working on projects in the field of mathematics and mathematics education Competence be able to apply mathematical reasoning to solve theoretical and practical tasks related to the secondary school curriculum be able to organize teaching of mathematics in a variety of ways to accommodate the needs of each student be able to use instructional materials, equipment, software and other technologies in teaching and learning be able to share their understanding and knowledge of mathematical topics in a clear and precise manner ...
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Basic knowledge, theoretical and practical, covering the breadth of what is fundamental to modern mathematics, but including some degree of specialisation. Knowledge, ability and skillsOn completion of his/her studies the student should be able to demonstrate knowledge, ability and skills as follows: 1 Knowledge and understanding1.1 The student knows those parts of analysis, algebra, geometry and probability theory that form the basis of modern mathematics.1.2 The student knows selected parts of his/her minor subject (where appropriate) that form a connected whole and can serve as a basis for further studies in the subject.1.3 The student has acquired knowledge and understanding of the use of mathematics for the study and solution of applied problems(1) and for modelling in scientific applications.1.4 The student has acquired basic knowledge of computer programming and the use of computers.1.5 The student knows selected topics in mathematics that go beyond those listed in 1.1 or lie outside of them.1.6 The student understands the concept of mathematical proof and the distinction between correct and incorrect mathematical arguments.1.7 The student has acquired mathematical knowledge that can serve as a basis for further studies in mathematics and related subjects. 2 Practical ability and skills2.1 The student can use mathematics in a logically justified fashion to solve theoretical and practical mathematical problems.(*)2.2 The student can use mathematics to solve applied problems (*) or to construct mathematica ...
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