# Specialisation in Didactics of Mathematics (NORDIMA-KU)

The Joint Nordic Master's Programme in Didactics of Mathematics (NORDIMA-KU) enables you to specialize in both pure mathematics and didactics of mathematics at the master's level. You will approach your studies of these connected areas in two different academic and cultural settings (one year in each setting):

- Situated in the vibrant Danish capital, the University of Copenhagen has one of the largest groups of high-profile mathematics experts in Northern Europe as well as a high-profile group of researchers in didactics of mathematics and science.

- The University of Agder is situated in Kristiansand, a picturesque smaller city found on the rugged, forest strewn southern Norwegian coastline. The university is home to Scandinavia's largest group of high-profile experts in didactics of mathematics.

This combination ensures you access to an expansive range of courses in all areas of the advanced study of pure mathematics, as well as in didactics of mathematics. Depending on your aims and prerequisites, you may also take courses in the history and philosophy of mathematics, as well as in applied mathematics.

### Content of the programme

The two-year program consists of 1½ year of course and project work, and six months for the master thesis. Of the 1½ year, at least six months should be done in pure mathematics, and at least six months in didactics of mathematics. Depending on your prerequisites in these areas, you will be able to choose from a wide range of fundamental and more advanced courses. Your previous studies will also contribute to determine where your first year will be spent, in Kristiansand or Copenhagen.

### Didactics of Mathematics earns you a double-degree

Upon completion of the study programme, you will obtain a double degree. This means you get a diploma from each university - an MSc in Mathematics from University of Copenhagen and an MSc in Didactics of Mathematics from University of Agder. This reflects that the programme enables you to fulfill the requirements of both degrees.

Applicants to Didactics of Mathematics should hold a bachelor's degree in mathematics and have a deep interest in the practice and theory of mathematics education. Prospective students should want to pursue mathematics studies with a specialization in the study of how advanced (secondary and tertiary level) mathematics is taught and learned.

In short, you should be eager to learn more mathematics, and to learn about the conditions and methods best suited for sharing the joy of mathematics with others.

### How you benefit from the specialisation

For students, Didactics of Mathematics combines the best of two worlds, in a couple of senses:

- Technical and human sides of mathematics are combined through advanced studies of mathematics and the ways in which it can be taught and learned.
- Studies at the larger, more "classical" university in Copenhagen are combined with studies at the smaller, more "modern" university in Kristianssand.

Didactics of Mathematics offers opportunities for you to benefit from:

- Close collaboration with fellow students and an assortment of the world's leading experts in a programme characterized by individual supervision and small classes.
- Highly personalized, research-oriented studies in mathematics (one of the oldest academic disciplines!) and didactics of mathematics (one of the youngest!).

## Programme structure

**Study model 1: First year at University of Copenhagen**

Block 1 | Block 2 | Block 3 | Block 4 | |

Year 1 |
Advanced Vector Spaces | Project on Didactics of Mathematics | ||

Advanced Didactics of Mathematics | ||||

Year 2 |
Courses at University of Agder (30 ECTS): |
Thesis | ||

Compulsory course | ||

Restricted elective course | ||

Courses at University of Adger |

## Restricted elective courses (study model 1)

If you take your first year of study at University of Copenhagen, you must choose your restricted elective courses from the lists below. Click on each course for a detailed description.

You are obliged to choose courses worth at least 15 ECTS from this list:

- Algebra 3
- Algebraic Topology
- Advanced Probability Theory 1
- Functional Analysis
- Geometry 2
- History of Mathematics 2
- Advanced Probability Theory 2
- Homological Algebra
- Differential Operators and Function Spaces

Choose your remaining courses from this list:

- Algebraic Geometry
- Categories and Topology
- Partial Differential Equations
- Introduction to Modern Cryptography
- Analysis On Manifolds
- Approximation Properties for Operator Algebras and Groups
- Solving Polynomical Equations
- Riemannian Geometry and General Relativity
- Experimental Mathematics (the course is not offered in the academic year 2019/20)
- Topics in Mathematical Logic
- Analytic Number Theory (the course is not offered in the academic year 2019/20)
- Quantum Information Theory
- Elliptic Curves
- Introduction to Operator Algebras
- Commutative Algebra
- Algebraic Topology 1.5: Cohomology
- Introduction to Representation Theory
- Complex Analysis 2
- Algebraic Geometry
- Algebraic Number Theory
- Introduction to Mathematical Logic
- Algebraic Topology II
- Introduction to K-Theory
- Advanced Mathematical Physics
- Dynamical Systems

** **

**Study model 2: First year at University of Agder**

Block 1 | Block 2 | Block 3 | Block 4 | |

Year 1 |
Courses at University of Agder (60 ECTS): |
|||

Year 2 |
Advanced Vector Spaces | Thesis | ||

Advanced Didactics of Mathematics |

Compulsory course | ||

Restricted elective course | ||

Courses at University of Adger |

## Restricted elective courses (study model 2)

If you take your first year of study at University of Agder, you must choose your restricted elective courses worth 15 ECTS from the list below. Click on each course for a detailed description.

- Algebra 3
- Algebraic Topology
- Advanced Probability Theory 1
- Functional Analysis
- Geometry 2
- History of Mathematics 2
- Advanced Probability Theory 2
- Homological Algebra
- Differential Operators and Function Spaces

## Need to know more?

If you have further questions, please contact SCIENCE Student Services

For inquiries about the structure and contents of the programme, you are welcome to contact Prof. Dr. Carl Winsløw: winslow@ind.ku.dk.

## Curriculum

Curriculum for MSc in Mathematics.

Curriculum for MSc in Mathematics with a minor subject.

Shared section of the curriculum for all programmes at the Faculty of SCIENCE.

## Course Catalogue

See the course catalogue for the current semester.