COURSE UNIT TITLE

: DEVELOPMENT OF MATHEMATICAL KNOWLEDGE

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
FMM 6055 DEVELOPMENT OF MATHEMATICAL KNOWLEDGE ELECTIVE 3 0 0 10

Offered By

Mathematics Teacher Education

Level of Course Unit

Third Cycle Programmes (Doctorate Degree)

Course Coordinator

ASSOCIATE PROFESSOR AYTEN ERDURAN

Offered to

Mathematics Teacher Education

Course Objective

To explore the theories regarding development of mathematical knowledge.

Learning Outcomes of the Course Unit

1   To have a standtpoint about the theories regarding development of mathematical knowledge.
2   To know different theories regarding development of mathematical knowledge.
3   To be able to examine the literature
4   To be able to analyze the studies done about the subject.
5   To be able to do application of conceptual knowledge about each theory.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Tall & Vinner - Concept image and concept definition in mathematics education.
2 Tall & Vinner - Concept image and concept definition in mathematics education.
3 Skemp (1976) Instrumental and relational understanding
4 Skemp (1976) Instrumental and relational understanding
5 David Tall Procept Theory
6 David Tall Procept Theory
7 David Tall Procept Theory
8 Course overview, evaluation and Midterm axem.
9 Anna Sfard Operational structural approach
10 Anna Sfard Operational structural approach
11 APOS Theory
12 APOS Theory
13 APOS Theory
14 APOS Theory
15 Final exam.

Recomended or Required Reading

Tall, D., & Vinner, S. (1981). Concept image and concept definition in mathematics with special refrence to limits and continuity. Educational Studies in Mathematics, 12, 151-169.
Skemp, R. R. (1976). `Relational understanding and instrumental understanding , Mathematics Teacher 77, 20-26.
Arcavi, A ve Schoenfeld, A.H.(1992). Journal of Mathematical Behavior, 11, 321-335.
Sfard, A. (1991). On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin. Educational Studies in Mathematics, 22, 1-36.

Planned Learning Activities and Teaching Methods

Discussion, group work, lecture.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTEG MIDTERM GRADE
2 ASG ASSIGNMENT
3 FCG FINAL COURSE GRADE
4 FCG FINAL COURSE GRADE MTEG * 0.30 +ASG* 0.10 + FCG* 0.60
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) MTEG * 0.30 + ASG * 0.10 + RST * 0.60


Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

ayten.ceylan@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 3 39
Preparations before/after weekly lectures 13 4 52
Preparation for midterm exam 1 15 15
Preparation for final exam 1 20 20
Preparing assignments 2 40 80
Preparing presentations 2 20 40
Final 1 2 2
Midterm 1 2 2
TOTAL WORKLOAD (hours) 250

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14
LO.153333222
LO.252224222
LO.352223322
LO.4533334
LO.553332322

CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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