DEVELOPMENT OF AN INSTRUCTIONAL UNIT FOR DEVELOPING KINDERGARTEN STUDENTS’ ALGEBRAIC REASONING PRIOR TO FORMAL ARITHMETIC EDUCATION

Date

2024-7-8

Author

Sofuoğlu, Sevgi

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The aim of this study is to develop an instructional sequence that focuses on algebraic reasoning before arithmetic education. The study is based on Davydov’s approach to early algebra education, which promises a better understanding of variability and functions in higher grades. The instructional design includes creating effective learning trajectories and materials for use in kindergarten mathematics courses. To achieve this goal, the study investigated the following research question: How can kindergarten students’ algebraic reasoning be supported by a proposed instructional sequence? A hypothetical learning trajectory was developed and adapted for the kindergarten level based on the Davydov & Elkonian curriculum of first-grade mathematics. Based on the Design-Based Research perspective, classroom activities aligned with this hypothetical learning trajectory were further refined during the implementation of instruction based on student learning outcomes. Following the implementation and testing of the trajectory through 20 in-class and online sessions with 10 students, an effective learning sequence and practical instructional materials were developed. Students’ progression through the trajectory, related to design principles, contributed to the theory of how students develop algebraic learning in early grades. Piaget’s conservation principles were effective in students’ perception of structures in the equations. The data showed that students could develop an algebraic understanding of equality and operations at the kindergarten level by adapting the Davydov-Elkonian curriculum with modifications on materials and symbolization in activities.

Subject Keywords

Early Algebra, Davydov, Kindergarten Students, Mathematics Education, Design-Based Research

URI

https://hdl.handle.net/11511/110479

Collections

Graduate School of Natural and Applied Sciences, Thesis