國中資優數學代數問題之創意思解

The Study of Creative Problem Solving Applied in the Algebraic Problems in Junior High School

許珮禎(Pei-Chen Hsu)

指導教授 ： 王牧民

中原大學/理學院/應用數學研究所/碩士(2015年)

https://doi.org/10.6840/cycu201500264

摘要

本研究旨在探討國中資優數學中與代數相關的創新題型，以如何掌握數學問題思考中心的模式來創新問題的方法。研究的重點是以國中數學領域數學競賽問題當作基礎，將代數概念延伸，創造需用創新解法的題型，並分類和代數解題相關的試題，最後歸納解題方法，幫助資優學生在遇到相似的題型時，能有系統式的去分析題意並順利解題。

關鍵字

資優數學 ； 代數

並列摘要

The purpose of this study is to investigate how gifted junior-high-school students solve algebra problems through a creative thinking. The algebra problems were chosen based on the 7th-9th grade mathematical curriculum, including three topics: creative question-generating, classification, and algebra questions. When the gifted students solved these algebra problems, their different skills and applied strategies were inducted as problem-solving patterns, by which students can analyze similar questions systematically and solve them successfully in the future.

並列關鍵字

albgbra ； gifted mathematics

參考文獻

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Johnsen, S. K.(2004). Identifying Gifted Students: A Practical Guide." Waco, Texas: Prufrock Press, Inc.

Colangelo,N.,& Davis,G(1997).Handbook of gifted education (2nd ed.) . Boston,MA:Allyn and Bacon.

Renzulli, J.(1997).The enrichment Triad model: A guide for developing defensible programs for the gifted and talened. Mansfield, CT: Creative Learning Press.

Renzulli, J.,Reis,S.,& Smith, L.(1981).The revolving door identification model. Mansfield, CT: Creative Learning Press.