| Summary: | 博士 === 雲林科技大學 === 工程科技研究所博士班 === 97 === Previous studies have succeeded in using multiple representations in teaching math topics but there are few empirical studies in using multiple representations for learning geometry theorem proving. This study attempts to use five representations in computer-assisted environment for learning geometry proofs: problem statement, static figure, dynamic geometry figure, formal proof, and proof tree. The environment is called MR Geo (Multiple Representations for Geometry theorem proving). An empirical experiment was done to evaluate the effects of using MR Geo by 96 ninth graders with six weeks of instruction, online tests, pre-test, post-test, and focus group interviews. Some of the results were positive and revealing. Students at low and middle proficiency levels became more willing to write proofs. In MR Geo, students at the middle proficiency level interacted most frequently with the proof tree representation. Many students indicated that MR Geo helped them understand proofs better and preferred the representations of proof tree and formal proof in MR Geo. Proof tree was also helpful to students in improving the summary and inference aspects in their comprehension of proofs. In short, MR Geo provides an effective, alternative approach for learning geometry theorem proving.
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