การสำรวจแนวคิดทางคณิตศาสตร์ของนักเรียนในชั้นเรียนคณิตศาสตร์ที่ใช้วิธีการแบบเปิด

Abstract

This research aims to investigate students’ mathematical ideas in the topic of exponentiation in 7^thgrade mathematics classroom using Open Approach. The Study was conducted in the first semester of the 2022 academic year at Chumchompailom School, Ban Phaeng District, Nakhon Phanom Province, with a total of 20 students. The research employed the instructional framework proposed by Isoda & Katagiri (2012) and collected data through a 6-lesson plan on the topic of exponentiation based on the Mathematics textbook for grade 7, Volume 1, issued by the Institute for the Promotion of Teaching Science and Technology (IPST). The instructional plan was developed collaboratively with Lesson Study team, and it included visual aids and activity sheet.

The research findings revealed that in the context of classroom using Lesson Study and Open Approach, students’ learning emphasized self-directed and collaborative learning, resulting in the emergence of diverse mathematical ideas. Eight mathematical ideas were identified: 1) Idea of Sets: students demonstrated an understanding of sets related to the base, exponent, multiplication, division, and the set of the results, presented in a table. 2) Idea of Units: students attempted to find the result using time units as a basis and then calculated the number of units needed. 3) Idea of Representation: students made an effort to represent all cut-out pieces using drawings. 4) Idea of Operation: students employed operators to find answers to the given situations. 5) Idea of Approximation: when presented with a situation, students could make estimations to find solutions. 6) Idea of Fundamental Properties: students used the fundamental properties of exponents to provide reasoning and explanations. 7) Idea of Expressions: students conveyed their understanding through verbal explanations, written expressions, and various gestures, such as n² x n⁴= n⁶

. 8) Functional Thinking: students explained the foundational aspects of exponentiation and the relationships between different outcomes