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Students' Strategies to Solve Reversible Problems of Function: The Part of Reversible Thinking

机译:学生解决功能可逆问题的策略:可逆思维的一部分

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This study aimed to reveal students' strategies to solve reversible problems, particularly to function course. Individuals' competence to solve reversible problems is the part of reversible thinking. This way of thinking refers to a reversible two-way relationship. Providing reversible problems is a way for teachers to develop their students' reversible thinking. It was qualitative. 105 students who were prospective teachers of mathematics were selected as the subject of this study, and it took a test containing some reversible problems, such as function along with its graphic and between derivative and integral, as the instrument. The students' results were further analyzed to reveal their strategies of solving those reversible problems. The finding showed that among 105 students, 62% of them were capable to draw the graph of an identified function through 4 different strategies, while 28% of them were capable to define the function of an identified graphic through 5 different strategies. The significant difference between those two percentages implied that only few students were capable to both drawing the graphic of an identified function and defining the function of an identified graphic. Overall, it indicated that the students were still less in constructing a reversible relationship between function and its graphic.
机译:本研究旨在揭示学生解决可逆问题的策略,特别是在功能课程。个人能力解决可逆问题是可逆思维的一部分。这种思维方式是指可逆的双向关系。提供可逆问题是教师培养学生可逆思维的一种方式。这是定性的。作为本研究的主题,选择了105名潜在数学教师的学生,并考虑了一些可逆问题,例如功能以及其图形和衍生物和整体之间的功能,作为仪器。进一步分析学生的结果揭示了解决这些可逆问题的策略。该发现表明,在105名学生中,62%的人能够通过4种不同的策略绘制所识别的函数的图表,而28%能够通过5种不同的策略定义所识别的图形的功能。这两种百分比之间的显着差异暗示,只有少数学生都有能够绘制所识别的函数的图形并定义所识别的图形的功能。总的来说,它表明,学生在构建功能与图形之间的可逆关系方面仍然不那么少。

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