FME747 - THEORIES of LEARNING IN MATHEMATICS EDUCATION

Course Name Code Semester Theory
(hours/week)
Application
(hours/week)
Credit ECTS
THEORIES of LEARNING IN MATHEMATICS EDUCATION FME747 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 objectiveTo search the answer of the question how an individual learns an abstract mathematical concept. 
Learning outcomes
  1. Recognize general learning theories
  2. Evaluate the role of learning theories in mathematics education
  3. Evaluate effects of social context on learning
  4. Follow the literature on learning theories in general and learning theories in mathematics education specifically
  5. Analyse factors that effect learning a mathematical concept or topic
Course ContentIntroduction and discussion of learning theories
A study of nature of psychological development and theories of learning
Discussion of various learning theories for mathematics education
APOS theory and its applications 
References1. Bigge, M. L.,& Shermis, S. S. (2004). Learning theories for teachers. (6th ed.). New York: Longman.
2. Schunk, D. H. (2011) (Çev. Muzaffer Şahin). Öğrenme Teorileri: Eğitimsel bir bakışla: Nobel Yayın Dağıtım, Ankara
3. Sriraman, B. & English, L. (Eds.). (2010) Theories in mathematics education: seeking new frontiers. Springer- Verlag Berlin Heidelberg.
4. Steffe, L. P.,& Nesher, P. (Eds.). (1996). Theories of mathematical learning. Mahwah, NJ: Lawrence Erlbaum Associates.
5. Sorumlu öğretim üyesi tarafından seçilecek konu ile ilgili yeni ve özgün makaleler 

Course outline weekly

WeeksTopics
Week 1Definition of learning in mathematics and basic concept regarding learning
Week 2Introduction to learning theories and the place of learning theories in mathematics education
Week 3Behaviorism, classical conditioning and operant conditioning
Week 4Cognitive theories and their contributions to the mathematical learning
Week 5Social cognitive theory and sociological perspectives on mathematics learning
Week 6Constructivism and its contributions to the learning of mathematics
Week 7Social constructivism and examples of research in mathematics education
Week 8Midterm exam
Week 9APOS theory
Week 10Applications of APOS Theory
Week 11Applications of APOS Theory
Week 12Analysis and discussion of researches about learning and teaching in mathematics education
Week 13Analysis and discussion of researches about learning and teaching in mathematics education
Week 14Analysis and discussion of researches about learning and teaching 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.      
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.      
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.      

*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest