学生如何解决数学中的可逆思维问题?

Aneu Pebrianti, S. Prabawanto, E. Nurlaelah
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引用次数: 0

摘要

可逆性思维是一种通过安排逻辑思维从终点到起点的方向来寻找问题解决方案的认知活动。可逆思维要求学生以两种方式进行逻辑思考。因此,可逆思维影响学生成功解决问题。本研究旨在找出学生在解决需要可逆思维能力的问题时的思维过程。本研究以印尼西爪哇省万隆市初中生为研究对象,采用测试仪器、访谈及文献研究等方法。给出的测试包括两种类型的问题,包括前瞻性思维问题的测试和可逆思维问题的测试。研究对象是班里数学平均成绩较高的学生。研究发现,学生可以很好地回答前瞻性思维问题的测试,但不能用逆向思维解决类似的问题。从访谈结果来看,学生需要更多的后向思维能力的原因之一是学生第一次学习概念时的学习资源或语境有限。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
How do students solve reversible thinking problems in mathematics?
Reversible thinking is a cognitive activity in finding a solution to a problem by arranging the direction of logical thinking from the end to the starting point. Reversible thinking requires a student to think logically in two ways. Therefore, reversible thinking influences students' success in solving problems. This study aims to identify students' thinking processes in solving problems that require reversible thinking ability. This research was conducted on junior high school students in Bandung, West Java, Indonesia, using test instruments, interviews, and documentation studies. The tests given consisted of two types of problems, including tests on forward-thinking problems and tests on reversible thinking problems. The research subjects were students with high average mathematics scores in their class. The study found that students could answer the tests on forward-thinking problem-solving very well but could not work on similar questions with the backward-thinking process. Based on the interview results, one of the causes for the need for more backward-thinking ability is the limited learning resources or context when students first learn the concept.
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