Mathematics
Name of the module: Mathematics
Target group:
Level of the unit:
Entrance requirements:
Number of ECTS credits: 30 credits
Competences to be developed: After completed all the courses in mathematics the students schold be able to
1. work as a mathematics teacher in different countries
2. teach different mathematics content in different ways to different groups of pupils up to the age of 13 years.
3. consider and use different teaching methods when teaching mathematics
Subcourse 1:
Mathematics as an Academic Field of Study and School Subject (5 credits)
Learning outcomes
After completing the course the student is expected

Educational activities
Teaching is conducted in the form of lectures, seminars and methodology sessions. The teaching is based to a considerable extent on the students active participation, individually and in groups. Distance teaching may also be used. 
Assessment
The student is examined partly through active participation in seminars, methodolgy sessions and presentations, and partly through written examinations and oral presentations of individual and group assignments. 
Estimated
student work time in hours 
to have knowledge of mathematics as an academic field of study and the role of mathematics in society 


20 
to be able to give an account of the historical context where some important concepts within mathematics have been developed and used



20 
to have knowledge of the teaching of mathematics in different countries 


20 
to understand how the subject mathematics in schools has different contexts and forms in different countries. 


20 
to be able to describe the pupils conceptual development as well as demonstrate the ability to use this knowledge in didactical situations



30 
to have knowledge of different ways of evaluating the pupils abilities in mathematics



20 
Subcourse 2:
Number, 10 credits
Content:
Number and operations System of Numbers
PreAlgebra
Statistics
Learning outcomes
After completing the course the student is expected

Educational activities
Teaching is conducted in the form of lectures, seminars and methodology sessions. The teaching is based to a considerable extent on the students active participation, individually and in groups. Distance teaching may also be used.

Assessment
The student is examined partly through active participation in seminars, methodolgy sessions and presentations, and partly through written examinations and oral presentations of individual and group assignments. 
Estimated
student work time in hours 
to demonstrate that the mathematics covered in the subcourse have been mastered arithmetically.



60 
to have knowledge of how pupils learn the mathematics in the mathematical field covered by the subcourse. 


50 
to demonstrate the ability to treat didactically the mathematical areas dealt with in the subcourse from the pupils level of understanding. 


40 
to demonstrate the ability to analyse and treat the mathematics covered in the subcourse critically in teaching material. 


40 
to be able to use different working methods and investigative activities in mathematics teaching in the mathematical field covered by the subcourse. 


40 
to demonstrate the ability to to analyse and treat critically mathematical teaching material (e.g. laboratory materia, mathematics books and computer programmes) as teaching aids in in mathematics teaching in the mathematical field covered by the subcourse. 


30 
Subcourse 3:
Geometry and Measurement, 10 credits
Content:
Patterens in Mathematics, algebra and functions
Geometry
Measurement (length, weight, volume, time, temperature)
Learning outcomes
After completing the course the student is expected

Educational activities
Teaching is conducted in the form of lectures, seminars and methodology sessions. The teaching is based to a considerable extent on the students active participation, individually and in groups. Distance teaching may also be used.

Assessment
The student is examined partly through active participation in seminars, methodolgy sessions and presentations, and partly through written examinations and oral presentations of individual and group assignments. 
Estimated
student work time in hours 
to demonstrate that the mathematics covered in the subcourse have been mastered arithmetically.



60 
to have knowledge of how pupils learn the mathematics in the mathematical field covered by the subcourse. 


50 
to demonstrate the ability to treat didactically the mathematical areas dealt with in the subcourse from the pupils level of understanding. 


40 
to demonstrate the ability to analyse and treat the mathematics covered in the subcourse critically in teaching material. 


40 
to be able to use different working methods and investigative activities in mathematics teaching in the mathematical field covered by the subcourse. 


40 
to demonstrate the ability to to analyse and treat critically mathematical teaching material (e.g. laboratory materia, mathematics books and computer programmes) as teaching aids in in mathematics teaching in the mathematical field covered by the subcourse. 


30 
Subcourse 4
Optional Course 5 credits
Optional course A: indepth studies algebra, geometry and functions.
Optional course B: an introduction in Gifted Education in Mathematics
Name of the module: Mathematics Optional course B: An introduction in Gifted Education in Mathematics
Target group: The students in the mathematics course.
Level of the unit:
Entrance requirements: Have finished the first three courses in mathematics.
Number of ECTS credits: 5 credits
Competences to be developed: After completed all the courses in mathematics the students schold be able to
1. work as a mathematics teacher in different countries
2. teach different mathematics content in different ways to different groups of pupils
3. consider and use different teaching methods when teaching mathematics
Optional course B: An introduction in Gifted Education in Mathematics
Learning outcomes
After completing the course the student is expectedto

Educational activities
Teaching is conducted in the form of lectures, seminars and tutorial. The teaching is based to a considerable extent on the students active participation, individually and in groups. Distance teaching may also be used. 
Assessment
The student is examined through written examinations or/and oral presentations of assignments. 
Estimated
student work time in hours 
be able to describe the meaning in mathematical ability and how it can be expressed by pupils.



4050 hours

be able to analyse and construct mathematical problems which challenge and stimulate pupils.



4050 hours

have reached indepth knowledge of the character and structure in mathematics.



4050 hours 
