ME804 Reasoning and Problem Solving in Mathematics Education

8 ECTS - 3-0 Duration (T+A)- . Semester- 3 National Credit

Information

Code ME804
Name Reasoning and Problem Solving in Mathematics Education
Term 2024-2025 Academic Year
Semester . Semester
Duration (T+A) 3-0 (T-A) (17 Week)
ECTS 8 ECTS
National Credit 3 National Credit
Teaching Language Türkçe
Level Doktora Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator


Course Goal / Objective

The aim of this course is to understand the nature, stages and types of problem solving, to examine problem solving strategies and to pose problems.

Course Content

To comprehend the nature, stages and types of problem solving. To examine problem solving strategies. Grasp the nature of problem solving and reasoning; the types of problems; the stages of problem solving; problem solving strategies; write non-routine problems;

Course Precondition

none

Resources

Altun, M. (2010). Matematik Öğretimi. 7. baskı. Alfa aktüel: Bursa. 2-) Posamentier, A. S. and Krulik, S.(2009). problem solving in mathematics. Corwin. 3-) Posamentier, A. S. and Krulik, S.(2008). Problem solving strategies for efficent and elegant solutions. Corwin

Notes

https://library.cu.edu.tr/cu/e-kaynaklar/veritabanlari


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Can define the problem and explain its properties.
LO02 Distinguish and explain routine and non-routine problems.
LO03 Have knowledge about problem solving approaches.
LO04 Gains knowledge of problem posing and types of problem posing.


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal 1- Based on master's qualifications, he/she develops and deepens current and advanced knowledge in the field with original thought and/or research at the level of expertise and reaches original definitions that will bring innovation to science.
PLO02 Bilgi - Kuramsal, Olgusal 2- Establishes relationships between various disciplines and sub-fields that the field is related to, and reaches original results by using their expertise in the analysis, synthesis and evaluation of new and complex ideas. 5
PLO03 Beceriler - Bilişsel, Uygulamalı 1-Approaches new information in the field in a systematic way and conducts advanced research in the field. 5
PLO04 Beceriler - Bilişsel, Uygulamalı 2-Develops a new scientific method that brings innovation to science or applies a known method to a different field; At this point, it designs and carries out an original research.
PLO05 Beceriler - Bilişsel, Uygulamalı 3-Makes critical analysis, synthesis and evaluation of new and complex ideas.
PLO06 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği 1- Contributes to science with an original, publishable work that brings innovation to science, develops a new scientific method or applies a known method to a field.
PLO07 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği 2-Expands the limits of knowledge in the field by publishing scientific articles related to the field in national and/or international refereed journals.
PLO08 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği 3- Takes leadership in original and interdisciplinary studies.
PLO09 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği 4-It carries out its work independently or as a team member.
PLO10 Yetkinlikler - Öğrenme Yetkinliği 1-Creative and critical thinkers; develops new ideas and methods related to the field by using high-level mental processes such as problem solving and decision making.
PLO11 Yetkinlikler - Öğrenme Yetkinliği 2-Becomes a facilitator/director in education and training activities in his/her field.
PLO12 Yetkinlikler - Öğrenme Yetkinliği 3-Continues the teaching processes on an interactive and ethical basis.
PLO13 Yetkinlikler - Öğrenme Yetkinliği 4-Develops and implements effective teaching strategies in order to provide students with knowledge and skills related to the field.
PLO14 Yetkinlikler - İletişim ve Sosyal Yetkinlik 1- Examines social relations and the norms that guide these relations with a critical perspective, develops them and manages actions to change them when necessary.
PLO15 Yetkinlikler - İletişim ve Sosyal Yetkinlik 2- Defends their original views in a community of experts. 5
PLO16 Yetkinlikler - İletişim ve Sosyal Yetkinlik 3-Using a foreign language at least at the C1 General Level of the European Language Portfolio, communicates and discusses advanced written, oral and visual communication.
PLO17 Yetkinlikler - İletişim ve Sosyal Yetkinlik 4-Communicates by considering cultural differences in all national and international studies.
PLO18 Yetkinlikler - Alana Özgü Yetkinlik 1- It contributes to the process of becoming an information society by introducing technological, social and cultural advances to the society in the academic and professional context.
PLO19 Yetkinlikler - Alana Özgü Yetkinlik 2- Establishes functional interaction with relevant persons and institutions by using strategic decision-making processes in solving the problems encountered in the field.
PLO20 Yetkinlikler - Alana Özgü Yetkinlik 3- It produces solutions on social, scientific and ethical issues related to its field and supports the development of these values ​​at the national and international level.


Week Plan

Week Topic Preparation Methods
1 What is the problem 1 Reading the relevant section from the suggested sources Öğretim Yöntemleri:
Anlatım
2 Problem types 2 Reading the relevant section from the suggested sources Öğretim Yöntemleri:
Anlatım, Tartışma
3 The role of problem solving in school mathematics 1 Reading the relevant section from the suggested sources Öğretim Yöntemleri:
Anlatım
4 The role of problem solving in school mathematics 2 Reading the relevant section from the suggested sources Öğretim Yöntemleri:
Anlatım
5 Problem solving process 1 Reading the relevant section from the suggested sources Öğretim Yöntemleri:
Anlatım
6 Problem solving process 2 Reading the relevant section from the suggested sources Öğretim Yöntemleri:
Anlatım
7 Problem solving process 3 Reading the relevant section from the suggested sources Öğretim Yöntemleri:
Anlatım
8 mid-term exam Prepare to homework Ölçme Yöntemleri:
Ödev
9 Difficulties in problem solving Reading the relevant section from the suggested sources Öğretim Yöntemleri:
Anlatım
10 problem solving approach 1 Reading the relevant section from the suggested sources Öğretim Yöntemleri:
Anlatım
11 problem solving approach 2 Reading the relevant section from the suggested sources Öğretim Yöntemleri:
Anlatım
12 problem solving approach 3 Reading the relevant section from the suggested sources Öğretim Yöntemleri:
Anlatım
13 problem solving approach 4 Reading the relevant section from the suggested sources Öğretim Yöntemleri:
Anlatım
14 Structures of verbal problems Reading the relevant section from the suggested sources Öğretim Yöntemleri:
Anlatım
15 general evalution Reading the suggested sources Öğretim Yöntemleri:
Tartışma
16 final exam prepare to exam Ölçme Yöntemleri:
Yazılı Sınav
17 final exam prepare to exam Ölçme Yöntemleri:
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 9 126
Assesment Related Works
Homeworks, Projects, Others 1 2 2
Mid-term Exams (Written, Oral, etc.) 1 11 11
Final Exam 1 20 20
Total Workload (Hour) 201
Total Workload / 25 (h) 8,04
ECTS 8 ECTS

Update Time: 09.05.2024 04:28