数学归纳校对:从数学学生创造性思维水平看程序流畅性

Pradipta Annurwanda, Rizki Nurhana Friantini
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引用次数: 0

摘要

数学证明的创造性被认为是由程序的流畅性所引导的。本文从学生数学创造性思维水平的角度考察了证明的程序流畅性。随机选择受试者参加测试和访谈,作为主要工具。在参加测试的36名学生中,有5名学生被选为每一个创造性思维技能水平都合适的学生,随后进行面试。。根据Miles、Huberman和Saldana(2014)的建议,对数据进行了数据浓缩、数据展示和结论撤回分析。结果表明,非常有创造力、有创造力和相当有创造力的学生能够表现出程序的流畅性,因为他们能够正确使用数学归纳证明程序,并按照正确的规则修改程序,尽管创造力较弱的学生在执行数学归纳证明过程时缺乏完整性。创造力较低组的学生程序流畅性较差,因为他们不太可能理解数学归纳证明程序的使用,并且发现很难正确应用数学归纳证明过程,甚至没有试图修改程序来解决问题。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Mathematical induction proofing: Procedural fluency reviewed from the creative thinking level of mathematics students
Creativity in performing mathematics proof was assumed to be directed by the procedural fluency. This article examines the procedural fluency in proof based on the students’ creative thinking level of mathematics. Subjects were selected pusposively to join the test and interview as the main instruments. Of the 36 students who took the test, 5 students were selected appropriate at each level of creative thinking skills to be followed with interviews.. The data were analyzed following data condensation, data presentation, and conclusion withdrawal as suggested by Miles, Huberman, and Saldana (2014). The results showed that very creative, creative, and quite creative students could demonstrate procedural fluency because they could use mathematical induction proof procedures correctly and modify the procedure in the correct rules although less creative students lacked completeness in performing mathematical induction proof procedures. Students of the lower creativity groups had less procedural fluency because they were unlikely to understand the use of mathematical induction proof procedures and found difficulties to apply mathematical induction proof procedures properly or even no attempt was made to modify procedures to solve problems.
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