TÜRKÇE
ENGLISH
Information
| Code | ME722 |
| Name | Mathematics education: theory and practice |
| Term | 2022-2023 Academic Year |
| Term | 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. KAMURAN TARIM |
| Course Instructor |
1 |
Course Goal / Objective
The aim of this course is to discuss the theories and approaches related to teaching and learning for mathematics education with students and to present their own applications by examining the studies about the applications of theories.
Course Content
Theories and approaches related to teaching and learning for mathematics education, the results and suggestions of the researches in the field of mathematics education, the misconceptions in mathematics, creating and presenting mathematical activities suitable for modern education.
Course Precondition
none
Resources
Baki, A. (2006). Kuramdan Uygulamaya Matematik Eğitimi, Trabzon, Derya Kitabevi.
Notes
Bingölbali, E. , Arslan, S., Zembat, İ. (2016). Matematik Eğitiminde Teoriler. Pegem Akademi
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Understands the historical development of mathematics |
| LO02 | Knows the types of proof that used in mathematics |
| LO03 | Explains operational and conceptual learning |
| LO04 | Explains spatial ability and components |
| LO05 | Explains different approaches in mathematical modeling |
| LO06 | Develops classroom applications for mathematical reasoning |
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. | 1 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Explain the learning theories in mathematics education. | 4 |
| 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. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Explains mathematics subject areas at the level of knowledge expertise. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Knowledge of different fields with knowledge of mathematics education. | 2 |
| 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. | |
| PLO10 | Bilgi - Kuramsal, Olgusal | Plans and conducts a scientific research. | |
| PLO11 | Bilgi - Kuramsal, Olgusal | Applies teaching methods and skills in accordance with undergraduate qualifications. Personal and Professional Competencies | 3 |
| PLO12 | Bilgi - Kuramsal, Olgusal | Manages an area of expertise in its field independently. | |
| 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. | |
| PLO15 | Beceriler - Bilişsel, Uygulamalı | Studies in the field carry out lifelong learning. | |
| PLO16 | Beceriler - Bilişsel, Uygulamalı | Follows technological developments. | |
| 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. | |
| 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. | |
| 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 | Meeting and speaking about the lesson | obtaining resources | Öğretim Yöntemleri: Soru-Cevap |
| 2 | Nature of Math | Preparing the subject from 1.source | Öğretim Yöntemleri: Soru-Cevap, Tartışma |
| 3 | Philosophy of Math | Preparing the subject from 2., 3. sources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 4 | Mathematical proof types | Reading from Theories in Math Education book: Chapter 4 | Öğretim Yöntemleri: Anlatım, Tartışma |
| 5 | Problem based learning | Baki (2006) Chapter 3; Theories in Math Education book: Chapter 38 | Öğretim Yöntemleri: Tartışma, Soru-Cevap |
| 6 | Operational and Conceptual Learning | Baki (2006) Chapter 4;Theories in Math Education book: Chapter 9 | Öğretim Yöntemleri: Anlatım, Tartışma |
| 7 | Misconception in Math education | Baki (2006) Chapter 4;Theories in Math Education book: Chapter 8 | Öğretim Yöntemleri: Anlatım, Tartışma |
| 8 | Mid-Term Exam | midterm study | Ölçme Yöntemleri: Ödev |
| 9 | Realistic Math Education | Theories in Math Education book: Chapter 21 | Öğretim Yöntemleri: Anlatım, Tartışma |
| 10 | Spatial ability | Theories in Math Education book: Chapter 20 | Öğretim Yöntemleri: Anlatım, Tartışma |
| 11 | Algebric thinking | Theories in Math Education book: Chapter 3 | Öğretim Yöntemleri: Anlatım, Tartışma |
| 12 | Modelling | Theories in Math Education book: Chapter 33 | Öğretim Yöntemleri: Anlatım, Tartışma |
| 13 | Modelling 2 | Theories in Math Education book: Chapter 33 (continues) | Öğretim Yöntemleri: Anlatım, Tartışma |
| 14 | Mathematical and statistical reasoning 1 | Theories in Math Education book: Chapter 12 | Öğretim Yöntemleri: Anlatım, Tartışma |
| 15 | Mathematical and statistical reasoning 2 | Theories in Math Education book: Chapter 12 (continues) | Öğretim Yöntemleri: Anlatım, Tartışma |
| 16 | Term Exams | preperation task | Ölçme Yöntemleri: Performans Değerlendirmesi |
| 17 | Term Exams | preperation task | Ölçme Yöntemleri: Performans Değerlendirmesi |
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 | ||