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European Teacher Education for Primary School > Detailed Curriculum by Subject > Mathematics

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

 

 

Sub-course 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 student’s 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

 

Sub-course 2:

Number, 10 credits

Content:

Number and operations
System of Numbers

Pre-Algebra

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 student’s 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 sub-course have been mastered arithmetically.

 

 

 

 

 60

to have knowledge of how pupils learn the mathematics in the mathematical field covered by the sub-course.

 

 

 

 50

to demonstrate the ability to treat didactically the mathematical areas dealt with in the sub-course from the pupils’ level of understanding.

 

 

 

 40

to demonstrate the ability to analyse and treat the mathematics covered in the sub-course 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 sub-course.

 

 

 

 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 sub-course.

 

 

 

30

 

Sub-course 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 student’s 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 sub-course have been mastered arithmetically.

 

 

 

 

 60

to have knowledge of how pupils learn the mathematics in the mathematical field covered by the sub-course.

 

 

 

50

to demonstrate the ability to treat didactically the mathematical areas dealt with in the sub-course from the pupils’ level of understanding.

 

 

 

40

to demonstrate the ability to analyse and treat the mathematics covered in the sub-course 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 sub-course.

 

 

 

 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 sub-course.

 

 

 

 30

 

 

Sub-course 4

Optional Course 5 credits

 

Optional course A: in-depth 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 student’s 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. 

 

 

 

 40-50 hours

 

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

 

 

 

 40-50 hours

 

have reached in-depth knowledge of the character and structure in mathematics.

 

 

 

 

 40-50 hours

 

 

 

 

 
 

 

 
 

 

ETEPS