Developing Pre-service Mathematics Teachers' Mental Rotation Skills through Dynamic Geometry Software-Supported Instruction

Feyza Kurban, H. B. Yanik
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Abstract

Spatial skills, including mental rotation, are necessary to understand, comprehend, explore and learn mathematics, but research in mathematics education points out insufficient spatial skills of pre-service mathematics teachers. In this study, the effectiveness of the instruction, designed by taking Cognitive Load Theory (CLT) as the reference frame and executed in the Dynamic Geometry Learning Environment (DGLE), was investigated. The study sample was four pre-service mathematics teachers determined by the purposeful sampling technique. Individual teaching experiment, executed in three steps (pre-evaluation— teaching sessions/instruction— post-evaluation), was used as the method. The collected quantitative and qualitative data were analyzed through content analysis. Findings showed that participants' mental rotation skills were basic or below, before the instruction. They had low mental imagery skills, inadequacies in mathematics language use, and misconceptions about rotation and its components. After the instruction, their mental rotation skills, compassing the mental rotation performance, mental imagery skills, mathematical language use, and concept schemes about rotation and its components, developed. It is recommended that cognitive loads be considered while designing instruction executed in a DGLE.
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通过动态几何软件教学培养职前数学教师的心理旋转技能
空间技能是理解、理解、探索和学习数学的必要条件,包括心理旋转,但数学教育研究指出职前数学教师的空间技能不足。本研究以认知负荷理论(Cognitive Load Theory, CLT)为参照系,在动态几何学习环境(Dynamic Geometry Learning Environment, DGLE)中进行教学的有效性研究。研究样本为4名职前数学教师,采用有目的抽样法确定。采用个体教学实验,分前评价-教学环节/教学-后评价三步进行。通过内容分析对收集到的定量和定性数据进行分析。研究结果显示,在接受指导之前,参与者的心理旋转技能是基本的或低于基本的。他们有较低的心理意象技能,数学语言使用不足,以及对旋转及其组成部分的误解。在此指导下,他们的心理旋转技能,包括心理旋转表现、心理意象技能、数学语言使用和关于心理旋转及其组成部分的概念方案得到了发展。建议在设计在DGLE中执行的指令时考虑认知负荷。
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发文量
44
审稿时长
8 weeks
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