Developing Problem-Based Learning Activities to Raise Mathematical Representation Skills on Graph and Linear Relationship of Matthayomsueksa 1 Students

Abstract

The purposes of this research were: 1) study Problem-based learning methods that enhance mathematical representations on graphs and linear relationships of Matthayomsueksa 1 students and 2) to study and raise the mathematical representations of Matthayomsueksa 1 students who received Problem-based Learning. The participants of this research were 32 students of Matthayomsueksa 1 in 2nd Semester, academic year 2023 at a large district school in Phichit Province. It took a total of 12 hours. The tools used for research were 1) 3 learning activity plans, activity sheets, with the appropriateness of the learning activity plans being in the highest criteria and 2) a mathematical representation test that all items were content valid and consistent with the contents and purposes. The data was analyzed using analytical scoring according to 3 aspects of representation: text writing; drawing and describing pictures and the use of symbols.

            The research findings were as follows.         

1. A Problem-based Learning management approach that develops mathematical representations on graphs and linear relationships for Matthayomsueksa 1, students should choose interesting open-end problems, various concepts and challenges, and teachers should encourage students to use their previous knowledge to solve problems, analyze the appropriateness of the answer, present and exchange knowledge in class to gain new knowledge.
2. In mathematical representations of both in three activity sheets and in the mathematics representation test was found text and symbol communication at the beginner level, but wasn’t found a representation with any pictures with explanation.