COURSE UNIT TITLE

: DEVELOPING MATHEMATICAL THINKING

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
FMM 6073 DEVELOPING MATHEMATICAL THINKING ELECTIVE 3 0 0 10

Offered By

Mathematics Teacher Education

Level of Course Unit

Third Cycle Programmes (Doctorate Degree)

Course Coordinator

ASSOCIATE PROFESSOR BERNA TATAROĞLU TAŞDAN

Offered to

Mathematics Teacher Education

Course Objective

The aim of the course is to introduce the basic concepts of mathematical thinking and mathematical thinking processes (specializing, generalizing, conjecturing, and verifying/convincing). In addition, the importance of mathematical thinking in terms of learning and teaching mathematics will be discussed and activities/studies that can be done to develop mathematical thinking will be examined.

Learning Outcomes of the Course Unit

1   Explains the basic concepts of mathematical thinking.
2   Explain mathematical thinking processes.
3   Relate mathematical thinking skills to mathematics subjects.
4   Explain the importance of mathematical thinking in terms of learning and teaching mathematics.
5   Explain what kind of implemantations can be done to develop mathematical thinking.
6   Can follow research and projects on the development of mathematical thinking.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Course introduction
2 What is mathematical thinking
3 What is mathematical thinking
4 The importance of mathematical thinking for learning and teaching mathematics
5 Mathematical thinking processes
6 Associating mathematical thinking processes with problem solving
7 Associating mathematical thinking processes with mathematics subjects
8 Homework Presentations
9 Developing mathematical thinking
10 Examination of pedagogical approaches to the development of mathematical thinking
11 Examination of publications and projects related to the development of mathematical thinking
12 Examination of publications and projects related to the development of mathematical thinking
13 Examination of publications and projects related to the development of mathematical thinking
14 Examination of publications and projects related to the development of mathematical thinking
15 Final Presentations

Recomended or Required Reading

Burton, L. (1984). Mathematical thinking: The struggle for meaning. Journal for Research in Mathematics Education, 15(1), 35-49.
Carpenter, T. P., Fennema, E., Peterson, P. L., Chiang, C. P., & Loef, M. (1989). Using knowledge of children s mathematics thinking in classroom teaching: An experimental study. American educational research journal, 26(4), 499-531.
Çelik, D. (2016). Matematiksel Düşünme. Matematik Eğitiminde Teoriler, Pegem Akademi, Ankara.
Fennema, E., Carpenter, T. P., Franke, M. L., Levi, L., Jacobs, V. R., & Empson, S. B. (1996). A longitudinal study of learning to use children's thinking in mathematics instruction. Journal for research in mathematics education, 27(4), 403-434.
Fraivillig, J. L., Murphy, L. A., & Fuson, K. C. (1999). Advancing children's mathematical thinking in everyday mathematics classrooms. Journal for Research in Mathematics education, 30(2), 148-170.
Mason, J., Burton, L., & Stacey, K. (2010). Thinking mathematically. Harlow England: Pearson Education Limited.
Schoenfeld, A. H. (1992). Learning to think mathematically: problem solving, metacognition, and sense-making in mathematics. (Ed. D.A. Grouws). Handbook of research on mathematics teaching and learning: a project of the national council of teachers of mathematics. (pp.334- 370). Newyork: Macmillan.
Stacey, K. (2006). What is mathematical thinking and why is it important. Progress report of the APEC project: collaborative studies on innovations for teaching and learning mathematics in different cultures (II) Lesson study focusing on mathematical thinking.

Planned Learning Activities and Teaching Methods

Discussion, group work, lecturing.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 ASG ASSIGNMENT
2 PRS PRESENTATION
3 FCG FINAL COURSE GRADE ASG * 0.50 + PRS * 0.50


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)

berna.tataroglu@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 10 140
Preparation for quiz etc. 1 4 4
Preparing assignments 14 2 28
Preparing presentations 14 3 42
TOTAL WORKLOAD (hours) 256

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14
LO.154422333433151
LO.254422333433151
LO.354422333433151
LO.454422333433151
LO.554422333433151
LO.654422333433151