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About the Programme Academic Staff Program Qualifications Lessons Matrix of Course & Program Qualifications Turkish Qualifications Framework (TQF) TQF & Program Qualifications
  1. Graduate School
  2. Department of Mathematic Education
  3. Master of Arts (MA) in Mathematics Education
  4. Course Structure Diagram with Credits
  5. Development of Algebraic Thinking in Primary Schools
  6. Description
  • Description
  • Learning Outcomes
  • ECTS Credit Load
  • Course's Contribution to Program
  • Learning Outcomes & Program Qualifications
Last Updated: 30/09/2026

Code - Course Title Course Type Laboratory + Practice ECTS
MTE510 - Development of Algebraic Thinking in Primary Schools I. SEMESTER 3 +0 6.0
Language of Instruction Türkçe
Course Type Elective Courses
Course Instructor(s) PROF. DR. DİLEK TANIŞLI
Mode of Delivery The mode of delivery of this course is Face to face
Place of Delivery
Used Educational Platforms
Prerequisites There is no prerequisite or co-requisite for this course.
Courses Recomended There is no recommended optional programme component for this course.
Recommended Resources Blanton, M., & Kaput, J. (2004). Elementary grades students’ capacity for functional thinking. In M. J. Hoynes, & A. B. Fuglestad (Eds.), Proceedings of the 28thConference of the International Group for the Psychology of Mathematics Education,Vol. 2, pp. 135-142. Bergen, Norway: International Group for the Psychology of Mathematics Educational.   Blanton, M. L., & Kaput, J. J.  (2005). Helping elementary teachers build mathematical generality into curriculum and instruction. ZDM Mathematics Education, 37 (1), 34-42.   Blanton, M. L. (2008). Algebra and the elementary classroom. Transforming thinking, transforming practice. Portsmouth, N.H. : Heinemann.   Bishop, J. W., Otto, A. D. ve. Lubunski, C. A. (2001).  Promoting algebraic reasoning using students’  thinking. Mathematics Teaching in The Middle School.6(9), 508-514.   Cathcart, W. G., Pothier, V. M., Vance, T. H. ve Bezuk, N. S. (2003). Learning mathematics in elementary and middle schools. 3rd ed-Upper Saddle River, N.J: Merrill/Prentice Hall.   Driscoll, M. (1999). Fostering algebraic thinking. A guide for teachers grades 6-10. Portsmouth, N.H.: Heinemann.   Herbert, K. ve Brown, R. H. (1997). Patterns as tools for algebraic reasoning. Teaching Children Mathematics. 3, 123-128.   Kaput, J.J, Carraher, D.W and Blanton, M.L. (2007). Algebra in the Early Grades.Taylor Francis Group.   Kaput, J. (1999). Teaching and learning a new algebra. In E. Fennema & T. Romberg (Eds.), Mathematics classrooms that promote understanding (pp. 133-155). Mahwah, NJ: Lawrence Erlbaum Associates.   Kaput, J. J., (2008). What is algebra? What is algebraic reasoning?. In J. J. Kaput, D. W. C. & M. L. Blanton (Eds.), Algebra in the early grades (pp. 5-17). Mahwah, NJ: Lawrence Erlbaum Associates/Taylor &Francis; Group.     Kenney, P. A. ve Silver, E. A. (1997). Probing the foundations of algebra: Grade-4 pattern items in NAEP. Teaching Childeren Mathematics. 3, 268-274.   Lannin, J. K. (2003). Developing algebraic reasoning through generalization. Mathematics Teaching In The Middle School. 8 (7), 342-348.   Moses, B. (1999). Algebraic Thinking Grades K-12. NCTM, Reston, Virginia.   Orton, A. ve Orton, J. (1999). Pattern and the approach to algebra. In A. Orton (Ed.), Pattern in the teaching and learning of mathematics (104-120). London and New York: Cassell.   Reys, R. E., Suydam, M. N., Lindquist M. M. ve Smith. N. L. (1998). Helping children learn mathematics. 5th ed-Boston: Allyn and Bacon.   Steele, D. (2005). Using writing to access students’ schemata knowledge for algebraic thinking. School Science and Mathematics.103(3), 142-154.   Van De Walle, J. A. (2004). Elementary and Middle School Mathematics.5th ed-Boston: Allyn and Bacon.    
Work Placement N/A
Aims of the Course

Weeks Learning Outcomes Topics Teaching Methods
Week - 1 THE NATURAL OF ALGEBRAIC THINKING what is algebraic thinking? The basic concepts in algebraical thinking
Week - 2 The development of algebraical reasoning
Week - 3 The generalization perspective in the development of algebraic reasoning
Week - 4 The problem solving perspective in the development of algebraic reasoning
Week - 5 The modeling perspective in the development of algebraic reasoning
Week - 6 The modeling perspective in the development of algebraic reasoning
Week - 7 The functional perspective in the development of algebraic reasoning
Week - 8 The functional perspective in the development of algebraic reasoning
Week - 9 The use of technology in the development of algebraic reasoning
Week - 10 The student difficulties and misconceptions in the development of algebraic thinking
Week - 11 The student difficulties and misconceptions in the development of algebraic thinking
Week - 12 The investigate research related to algebraic thinking.
Week - 13 Examination of research related to algebraic thinking.
Week - 14 Examination of research related to algebraic thinking.

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Assessment Method and Passing Requirements
Quamtity Percentage (%)
1.Midterm Exam 1 40
Final Exam 1 60
Toplam (%) 100

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