基于理论为高中生建立数学功能的概念

A. Safitri, S. Syamsuri, Jaenudin Jaenudin
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引用次数: 1

摘要

本研究旨在描述基于APOS理论的高中生数学函数概念建构。本研究使用的方法是APOS研究周期。本研究的对象是雪朗市SMA Negeri 4班的学生,他收到了有关复合函数和反函数的材料。本研究使用的工具为描述和半结构化访谈形式的笔试问题。数据分析技术定性地分为3个阶段,即数据缩减、数据呈现、验证或得出结论。结果表明,学生在数学函数概念建构过程中经历了特定的心理机制。本研究也证明了内化阶段(动作到过程)是数学函数概念建构的重要阶段,因为它影响着下一阶段建构的完善,无论是过程、对象还是图式。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
KONSTRUKSI KONSEP FUNGSI MATEMATIS BAGI SISWA SMA BERDASARKAN TEORI APOS
This study aims to describe the construction of the concept of mathematical functions for high school students based on APOS Theory. The approach used in this study is the APOS Research Cycle. The subjects of this study is student of class X SMA Negeri 4 Serang City who had received material on composition functions and inverse functions. The instruments used in this study were written test questions in the form of descriptions and semi-structured interviews. The data analysis technique was carried out qualitatively with 3 stages, namely data reduction, data presentation, and verification or drawing conclusions. The results showed that students experienced spesific mental mechanisms in constructing the concept of mathematical functions. This study also proves that the interiorization stage (action to process) is an important stage in constructing the concept of mathematical functions because it affects the perfection of construction at the next stage, both in process, object, and schema.
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