COURSE UNIT TITLE

: FORMATION OF MATHEMATICAL CONCEPTS AND ABSTRACTION

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
IME 6031 FORMATION OF MATHEMATICAL CONCEPTS AND ABSTRACTION ELECTIVE 3 0 0 7

Offered By

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Level of Course Unit

Third Cycle Programmes (Doctorate Degree)

Course Coordinator

PROFESSOR ELIF TÜRNÜKLÜ

Offered to

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Course Objective

Have information about some theories on formation and abstraction in mathematics education

Learning Outcomes of the Course Unit

1   Know some theories which are important formation and abstraction of mathematical concepts.
2   Evaluate the theories weaknesses and strengths.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Some basic concepts
2 Piaget's Theory
3 Skemp's theory
4 Safard's Theory
5 Davis's Theory
6 Dubunsky's Theory
7 Gray and Tall's theory
8 Midterm exam
9 Hejny's Model
10 Some examples on geometry
11 Some examples on algebra
12 Searching some articles on abstraction
13 Searching some articles on abstraction
14 Students' presentations of research home works
15 Final exam

Recomended or Required Reading

Dickson, L., Brown, B. ve Gibson, O. (1993). Children learning mathematics: A
teacher s guide to recent research. London: Cassell.
Steffe, L., Nesher, P., Cobb, P. (1996). Theories of Mathematical Learning. London.
Skemp, R. (1993). The Philosophy ofLearning Mathematics, London: Penguen boks.
Lansdell, J. M. (1999). Introducing young children to mathematical concepts:
Problems with new terminology. Educational Studies, 25(3), 327-333.
Orton, A. (1994). Learning mathematics: Issues, theory and classroom practice.
London: Cassell.
Hershkowitz, R., Schwartz, B., Dreyfus, T.(2001). Abstraction in Context. Journal for Research in Mathematics Education, 32, 195-222.

Planned Learning Activities and Teaching Methods

Discussion, investigation, and presentation

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTEG MIDTERM GRADE
2 FCG FINAL COURSE GRADE
3 FCG FINAL COURSE GRADE MTEG * 0.40 + FCG * 0.60
4 RST RESIT
5 FCGR FINAL COURSE GRADE (RESIT) MTEG * 0.40 + RST * 0.60


*** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

Further Notes About Assessment Methods

None

Assessment Criteria

Midterm exam, presentation and final exam

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

elif.turnuklu@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 3 42
Preparations before/after weekly lectures 14 3 42
Preparation for midterm exam 1 20 20
Preparation for final exam 1 25 25
Preparing presentations 8 4 32
Midterm 1 1 1
Final 1 1 1
TOTAL WORKLOAD (hours) 163

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12
LO.12555
LO.225553