Concrete Pictorial Abstract Approach with GeoGebra Program to Develop Mathematical Concepts on Factoring Polynomials of Second Degree for Lahu Tribal Students in the Lower Northern Region
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Abstract
Mathematics teaching management found that the students had the inaccurate and no understanding the mathematical concepts. Therefore conducting action research for developed the Concrete Pictorial Abstract Approach with GeoGebra program to promoted mathematical concepts on factoring polynomial of second degree for Lahu tribal students in the lower northern region. The research population were 7 students in Grade 8 of the expand opportunity school in Kamphaengphet province. Research tools consisted of lesson plans, reflection form, student works, activity sheets, and conceptual surveying. Analyze the received data by content analysis and validated data by the triangulations method. This research found that the learning management included 4 step: there were 1) Guided explication 2) Exploratory by GeoGebra 3) Knowledge classification and 4) Concept reification. And also found that the students had more mathematical concepts (sound understanding (SU)) while less number of students had no understanding the mathematical concepts (no understanding (NU)) and mathematical concepts that were inaccurate (specific misconception (MU)) during learning. Concluding, most students has developed the mathematical concepts (sound understanding (SU)) after learning. The research result will be a guideline for managing mathematics learning to develop the student’s abilities. There are problem solving ability, connecting, and ability to use technology.
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