TÜRKÇE
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Information
| Code | ME719 |
| Name | Development of Mathematical Thinking |
| Term | 2024-2025 Academic Year |
| Term | Fall and Spring |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Yüksek Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. PERİHAN ARTUT |
| Course Instructor |
1 |
Course Goal / Objective
In this course, thinking, mathematical thinking, examining the properties of mathematical thinking and ways to improve mathematical thinking and how to develop mathematical thinking in children is aimed to examine.
Course Content
What is thinking, What is mathematical thinking, Properties of mathematical thinking, The theories related mathematical thinking, How to develop mathematical thinking, How to develop mathematical thinking in children, To promote mathematical thinking
Course Precondition
None
Resources
1) Yıldırım, C. (2008) Matematiksel Düşünme-Cemal, Ankara: Remzi KitabeviPhiladelphia. 2) J. Mason, J., (Burton, L and Stacey, K. (1985) Thinking Mathematically, Addison- Wesley Publishing Company Inc
Notes
https://library.cu.edu.tr/cu/e-kaynaklar/veritabanlari
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Explains what thinking is. |
| LO02 | Explains what mathematical thinking is. |
| LO03 | Explains the properties of mathematical thinking. |
| LO04 | Synthesizes mathematical thinking and its properties. |
| LO05 | Explains how to develop mathematical thinking. |
| LO06 | Explains how to develop mathematical thinking of childrens. |
| LO07 | Explainshow to develop mathematical thinking in prospective teachers. |
| LO08 | Synthesizes how to develop mathematical thinking at all levels. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Scientific research and analysis methods in mathematics education. | |
| PLO02 | Bilgi - Kuramsal, Olgusal | Expresses mathematics curriculum and basic principles on which it is based. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Explain the learning theories in mathematics education. | 3 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Describes teaching strategies, methods and techniques appropriate for undergraduate qualifications. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Explains the interdisciplinary versions related to the field. | 4 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Explains mathematics subject areas at the level of knowledge expertise. | 3 |
| PLO07 | Bilgi - Kuramsal, Olgusal | Knowledge of different fields with knowledge of mathematics education. | 3 |
| PLO08 | Bilgi - Kuramsal, Olgusal | Explain the theoretical and practical knowledge in the field of expertise. | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Criticizes guidance at primary and international level. | 3 |
| PLO10 | Bilgi - Kuramsal, Olgusal | Plans and conducts a scientific research. | 2 |
| PLO11 | Bilgi - Kuramsal, Olgusal | Applies teaching methods and skills in accordance with undergraduate qualifications. Personal and Professional Competencies | |
| PLO12 | Bilgi - Kuramsal, Olgusal | Manages an area of expertise in its field independently. | 2 |
| PLO13 | Bilgi - Kuramsal, Olgusal | Carries out teamwork or leadership in situations that require resolution of problems related to the field. | |
| PLO14 | Beceriler - Bilişsel, Uygulamalı | New invisible in terms of scientific and social aspects. | 3 |
| PLO15 | Beceriler - Bilişsel, Uygulamalı | Studies in the field carry out lifelong learning. | |
| PLO16 | Beceriler - Bilişsel, Uygulamalı | Follows technological developments. | 3 |
| PLO17 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Supports a scientific study conducted in the field of mathematics education with qualitative and quantitative data and presents to the experts or non-experts in written, oral and visual. | |
| PLO18 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Effectively covers information and communication technologies. | 2 |
| PLO19 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Use the languages of the European language portfolio to understand the information in the field and to communicate verbally and in writing. | 1 |
| PLO20 | Yetkinlikler - Öğrenme Yetkinliği | The strategy of reviewing a study or reviewing a study acts in accordance with scientific, scientific and ethical values. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | What is thinking | Reading the relevant section from the suggested sources | Öğretim Yöntemleri: Anlatım, Tartışma, Beyin Fırtınası |
| 2 | The importance of thinking | Reading the relevant section from the suggested sources | Öğretim Yöntemleri: Anlatım, Tartışma, Beyin Fırtınası |
| 3 | What is mathematical thinking | Reading the relevant section from the suggested sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Beyin Fırtınası |
| 4 | The importance mathematical thinking | Reading the relevant section from the suggested sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 5 | Properties of mathematical thinking 1 | Reading the relevant section from the suggested sources | Öğretim Yöntemleri: Anlatım, Tartışma, Beyin Fırtınası |
| 6 | Properties of mathematical thinking 2 | Reading the relevant section from the suggested sources | Öğretim Yöntemleri: Anlatım, Tartışma, Beyin Fırtınası |
| 7 | The theories related mathematical thinking 1 | Reading the relevant section from the suggested sources | Öğretim Yöntemleri: Anlatım, Tartışma, Beyin Fırtınası |
| 8 | Mid-Term Exam | Prepare to exam | Ölçme Yöntemleri: Yazılı Sınav, Ödev |
| 9 | The theories related mathematical thinking 2 | Reading the relevant section from the suggested sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 10 | How to develop mathematical thinking 1 | Reading the relevant section from the suggested sources | Öğretim Yöntemleri: Anlatım, Tartışma, Beyin Fırtınası |
| 11 | How to develop mathematical thinking 2 | Reading the relevant section from the suggested sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 12 | How to develop mathematical thinking in children 1 | Reading the relevant section from the suggested sources | Öğretim Yöntemleri: Anlatım, Tartışma, Beyin Fırtınası |
| 13 | How to develop mathematical thinking in children 2 | Reading the relevant section from the suggested sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 14 | To promote mathematical thinking 1 | Reading the relevant section from the suggested sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 15 | To promote mathematical thinking 2 | Reading the relevant section from the suggested sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 16 | Term Exams | Prepare to exam | Ölçme Yöntemleri: Yazılı Sınav, Ödev |
| 17 | Term Exams | Prepare to exam | Ölçme Yöntemleri: Ödev, Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 5 | 70 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 15 | 15 |
| Final Exam | 1 | 30 | 30 |
| Total Workload (Hour) | 157 | ||
| Total Workload / 25 (h) | 6,28 | ||
| ECTS | 6 ECTS | ||