COURSE UNIT TITLE

: FIELD ELC. 7 (MATHEMATıCAL THıNKıNG, REASONıNG AND PROOF)

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
IMÖ 4007 FIELD ELC. 7 (MATHEMATıCAL THıNKıNG, REASONıNG AND PROOF) ELECTIVE 2 0 0 4

Offered By

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR SEMIHA KULA ÜNVER

Offered to

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Course Objective

The aim of this course is to enable prospective teachers to understand mathematical thinking styles, reasoning methods and proof processes; and to support them in using these processes effectively in problem solving, modelling and teaching mathematics.

Learning Outcomes of the Course Unit

1   Defines the concepts of mathematical thinking, reasoning and proof.
2   Explains different types of reasoning (induction, deduction etc.) with examples.
3   Apply basic types of proof (direct, indirect, proof by contradiction etc.).
4   Analyzes and evaluates a mathematical claim with logical foundations.
5   Designs reasoning and proof activities suitable for students.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 1. The place and importance of mathematical thinking in teaching
2 2. Examples of reasoning at the middle school level
3 3. Ways to develop students' reasoning skills
4 4. Reasoning in problem solving processes
5 5. Making mathematical generalizations with students
6 6. In-class applications of direct proof
7 7. Teaching with indirect proof and counterexamples
8 8. Midterm exam
9 9. Developing activities with the inductive method
10 10. Relating the concept of proof to daily life
11 11. Lesson plan analysis
12 12. Lesson plan analysis
13 13. Proof activities with group work
14 14. Proof activities with group work
15 15. Final exam

Recomended or Required Reading

Altun, M. (2022). Matematik Öğretimi (15. Baskı). Alfa Akademi Yayınları.
Baykul, Y. (2019). Ilköğretimde Matematik Öğretimi (5. Baskı). Pegem Akademi Yayıncılık.
Durmuş, S., & Bıçak, B. (2006). Matematiksel Düşünme ve Öğretimi. Pegem A Yayıncılık.
Mason, J., Burton, L., & Stacey, K. (2010). Thinking Mathematically (2nd ed.). Pearson Education.
Polya, G. (2004). How to Solve It: A New Aspect of Mathematical Method (2nd ed.). Princeton University Press.
Stylianides, A. J. & Stylianides, G. J. (2009). Proof and Proving in School Mathematics. Journal of Research in Mathematics Education.

Planned Learning Activities and Teaching Methods

Explaining, lecture, demonstrating, discussion, case study, collaborative learning.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE Midterm Exam
2 DTK Other Activity
3 FN Semester final exam
4 BNS BNS Student examVZ * 0.30 + Student examDTK * 0.10 + FN * 0.60
5 BUT Make- up note
6 BBN End of make-up grade Student examVZ * 0.30 +Student examDTK * 0.10 + BUT * 0.60


Further Notes About Assessment Methods

None

Assessment Criteria

Midterm exam, presentations and final exam.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

semiha.kula@deu.edu.tr

Office Hours

Will be announced at the beginning of the semester.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 2 26
Preparation for midterm exam 1 10 10
Preparation for final exam 1 15 15
Preparing presentations 13 1 13
Preparations before/after weekly lectures 13 2 26
Midterm 1 1 1
Final 1 1 1
TOTAL WORKLOAD (hours) 92

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15
LO.13555
LO.23123243553
LO.342533
LO.425443
LO.52532323354535

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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