Key Mathematical Concepts in the Transition from Secondary School to University

Key Mathematical Concepts in the Transition from Secondary School to University
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从中学到大学过渡的关键数学概念

DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
Jinxing Xie
Jinxing Xie
中科院分区：
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文献类型：
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作者：
Mike Thomas;Iole de Freitas Druck;Danielle Huillet;Mi;Elena Nardi;C. Rasmussen;Jinxing Xie

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ICME12 调查小组 4 的这份报告研究了从中学数学向大学数学过渡的问题，特别关注数学概念和数学思维的各个方面。它包括对与以下相关的最新研究的调查：微积分和分析；广义算术代数和抽象代数；线性代数；推理、论证和证明；以及建模、应用和应用数学。这揭示了上述数学主题内部和跨数学主题的认知、课程和教学问题的多方面网络。此外，我们还对大学数学系的教学人员进行了一项国际调查。
This report from the ICME12 Survey Team 4 examines issues in the transition from secondary school to university mathematics with a particular focus on mathematical concepts and aspects of mathematical thinking. It comprises a survey of the recent research related to: calculus and analysis; the algebra of generalised arithmetic and abstract algebra; linear algebra; reasoning, argumentation and proof; and modelling, applications and applied mathematics. This revealed a multi-faceted web of cognitive, curricular and pedagogical issues both within and across the mathematical topics above. In addition we conducted an international survey of those engaged in teaching in university mathematics departments.