FME704 - COGNITIVE PROCESSES IN MATHEMATICS EDUCATION
Course Name | Code | Semester | Theory (hours/week) |
Application (hours/week) |
Credit | ECTS |
---|---|---|---|---|---|---|
COGNITIVE PROCESSES IN MATHEMATICS EDUCATION | FME704 | Any Semester/Year | 3 | 0 | 3 | 12 |
Prequisites | - | |||||
Course language | Turkish | |||||
Course type | Elective | |||||
Mode of Delivery | Face-to-Face | |||||
Learning and teaching strategies | Lecture Discussion Preparing and/or Presenting Reports | |||||
Instructor (s) | Instructor | |||||
Course objective | Analysis of mental phases in argumentation process followed by proof process | |||||
Learning outcomes |
| |||||
Course Content | Analyze research concerning cognitive sciences in mathematics education, Conduct case study on cognition in mathematics, | |||||
References | 1. Anderson, J. R. (1985) Cognitive Psychology and its implications. (2nd ed.). New York: Freeman. 2. Bruning, R. H., Schraw, G. J.& Ronning, R. R. (1995) Cognitive psychology and Instruction. Prentice-Hall, Inc. New Jersey. 3. Burger, B. E. (2007) Extending the Frontiers of mathematics: Inquiries into proof and argumentation. Key College 4. Lave, J. (1988). Cognition in practice. Boston: Cambridge University Pres. 5. Sorumlu öğretim üyesi tarafından seçilecek konu ile ilgili yeni ve özgün makaleler |
Course outline weekly
Weeks | Topics |
---|---|
Week 1 | Basic concepts of cognition |
Week 2 | Foundations of cognitive theory and its relation with mathematics education |
Week 3 | Conceptual and procedural knowledge and relations between them |
Week 4 | Cognitive strategies and strategy choice |
Week 5 | Metacognition and metacognitive skills in mathematics education. |
Week 6 | Estimation ability and estimation strategies in mathematics |
Week 7 | Midterm exam |
Week 8 | Argumentation and its place in mathematics |
Week 9 | Mathematical proof and process of proof construction |
Week 10 | Relation between argumentation and proof |
Week 11 | Cognition and Beliefs |
Week 12 | Cognitive approaches to mathematics and investigation and discussion of studies related to them |
Week 13 | Cognitive approaches to mathematics and investigation and discussion of studies related to them |
Week 14 | Designing a research plan regarding cognitive processes in mathematics education |
Week 15 | - |
Week 16 | Final exam |
Assesment methods
Course activities | Number | Percentage |
---|---|---|
Attendance | 0 | 0 |
Laboratory | 0 | 0 |
Application | 0 | 0 |
Field activities | 0 | 0 |
Specific practical training | 0 | 0 |
Assignments | 3 | 10 |
Presentation | 1 | 20 |
Project | 0 | 0 |
Seminar | 0 | 0 |
Midterms | 1 | 30 |
Final exam | 1 | 40 |
Total | 100 | |
Percentage of semester activities contributing grade succes | 5 | 60 |
Percentage of final exam contributing grade succes | 1 | 40 |
Total | 100 |
WORKLOAD AND ECTS CALCULATION
Activities | Number | Duration (hour) | Total Work Load |
---|---|---|---|
Course Duration (x14) | 14 | 3 | 42 |
Laboratory | 0 | 0 | 0 |
Application | 0 | 0 | 0 |
Specific practical training | 0 | 0 | 0 |
Field activities | 0 | 0 | 0 |
Study Hours Out of Class (Preliminary work, reinforcement, ect) | 10 | 10 | 100 |
Presentation / Seminar Preparation | 1 | 45 | 45 |
Project | 0 | 0 | 0 |
Homework assignment | 3 | 25 | 75 |
Midterms (Study duration) | 1 | 48 | 48 |
Final Exam (Study duration) | 1 | 50 | 50 |
Total Workload | 30 | 181 | 360 |
Matrix Of The Course Learning Outcomes Versus Program Outcomes
D.9. Key Learning Outcomes | Contrubition level* | ||||
---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | |
1. develop their advanced theoretical and practical knowledge in the field considering undergraduate and master of science program qualifications. | X | ||||
2. combine the advanced current scientific knowledge and their perspectives related to the field and reach new definitions. | X | ||||
3. build complex relations between their field and other disciplines by using their knowledge and skills and, they may design new research questions. | X | ||||
4. increase their knowledge in the field and obtain original scientific findings by integrating analysis, synthesis and evaluation processes into their studies. | X | ||||
5. do research in science and mathematics education and classify the findings in order to do further research. | X | ||||
6. use qualitative and quantitative research methods, and design an original research problem in their fields or in other fields. Besides that they may begin studying on the problem. | X | ||||
7. analyze, synthesize and evaluate different ideas critically. | X | ||||
8. do research which is sufficiently well qualified to be published both in national and international refereed journals with the help of scientific research methods,. and they may be able to contribute to scientific research in field education. | X | ||||
9. participate in interdisciplinary studies independently or in a group to study on original research problems. | X | ||||
10. think creatively and critically in the process of providing solutions and making decisions and they may design new research problems related to the field and develop new methods to solve these problems. | X | ||||
11. develop and use different teaching strategies that increase students? knowledge and skills and make learning and teaching processes be easier. | X | ||||
12. speak a foreign language efficiently and communicate with their colleagues in oral or written form in the environment where subjects related to their fields or other fields take place. | X | ||||
13. . consider the social and cultural differences in their studies, behave in accordance with scientific and technical ethical values, and providing suggestions, they may believe that these values take place in national and international platforms permanently. | X |
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest