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Mathematical Inductive-Creative Reasoning, A Theoretical Study

机译：数学归纳创新推理，理论研究

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摘要

Reasoning is one of ability that should be developed on students' mathematics learning process. Through reasoning students are expected to know that mathematics is not to rote the formulas but to understand, prove and make conclusion. This article discusses about students' mathematical inductive-creative reasoning ability, a mathematical study result from several sources. Inductive reasoning is the process of thinking based on specific data and lead to the general conclusion, while the creative reasoning is based on Lithner's theoretical framework that divides the two reasoning, they are creative reasoning and imitative reasoning. The results of this study formulate three indicators of mathematical inductive-creative reasoning abilities, such as creative generalization, creative analogies, and creative patterns.
机译：推理是应该在学生数学学习过程中开发的能力之一。通过推理学生预计将知道数学不是履行公式，而是要了解，证明和得出结论。本文讨论了学生的数学归纳创造性推理能力，几个来源的数学研究结果。归纳推理是基于特定数据的思维过程，导致一般的结论，而创造性推理是基于莱特纳的理论框架，这些框架划分了两种推理，它们是创造性推理和模仿的推理。本研究的结果制定了三个数学归纳创造性推理能力的指标，例如创造性的泛化，创造性的类比和创造性模式。

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