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 languageTurkish
Course typeElective 
Mode of DeliveryFace-to-Face 
Learning and teaching strategiesLecture
Discussion
Preparing and/or Presenting Reports
 
Instructor (s)Instructor 
Course objectiveAnalysis of mental phases in argumentation process followed by proof process 
Learning outcomes
  1. Analyse argumentation as an estimation process
  2. Analyse proof process
  3. Compare analysis of argumentation and proof
  4. Analyse effect of argumentation on proof
  5. Interpret and evaluate the importance and place of all cognitive processes like thinking, perception and interpretation
Course ContentAnalyze research concerning cognitive sciences in mathematics education,
Conduct case study on cognition in mathematics, 
References1. 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

WeeksTopics
Week 1Basic concepts of cognition
Week 2Foundations of cognitive theory and its relation with mathematics education
Week 3Conceptual and procedural knowledge and relations between them
Week 4Cognitive strategies and strategy choice
Week 5Metacognition and metacognitive skills in mathematics education.
Week 6Estimation ability and estimation strategies in mathematics
Week 7Midterm exam
Week 8Argumentation and its place in mathematics
Week 9Mathematical proof and process of proof construction
Week 10Relation between argumentation and proof
Week 11Cognition and Beliefs
Week 12Cognitive approaches to mathematics and investigation and discussion of studies related to them
Week 13Cognitive approaches to mathematics and investigation and discussion of studies related to them
Week 14Designing a research plan regarding cognitive processes in mathematics education
Week 15-
Week 16Final exam

Assesment methods

Course activitiesNumberPercentage
Attendance00
Laboratory00
Application00
Field activities00
Specific practical training00
Assignments310
Presentation120
Project00
Seminar00
Midterms130
Final exam140
Total100
Percentage of semester activities contributing grade succes560
Percentage of final exam contributing grade succes140
Total100

WORKLOAD AND ECTS CALCULATION

Activities Number Duration (hour) Total Work Load
Course Duration (x14) 14 3 42
Laboratory 0 0 0
Application000
Specific practical training000
Field activities000
Study Hours Out of Class (Preliminary work, reinforcement, ect)1010100
Presentation / Seminar Preparation14545
Project000
Homework assignment32575
Midterms (Study duration)14848
Final Exam (Study duration) 15050
Total Workload30181360

Matrix Of The Course Learning Outcomes Versus Program Outcomes

D.9. Key Learning OutcomesContrubition level*
12345
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