A Study of Students’ Readiness to Learn Calculus
A Study of Students’ Readiness to Learn Calculus
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学生学习微积分准备情况的研究
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
Richard D. West
中科院分区：
文献类型：
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作者：
M. Carlson;B. Madison;Richard D. West
微积分概念准备(CCR)工具评估已被证明是学习微积分必不可少的基本理解和推理能力。CCR分类描述了CCR评估的理解和推理能力。CCR测验是一种包含25个项目的多项选择题工具，可用作进入微积分的分级测试，并评估微积分预科水平教学的有效性。对第一学期微积分学生进行CCR测试的结果显示，学生学习微积分的基础知识和推理能力严重薄弱。CCR成绩与课程成绩的相关性表明，CCR分数越高的学生在学习微积分时就越有准备。CCR的数据进一步确定了可以改进微积分预科教学以影响学生学习和准备微积分的具体思维方式和概念。
The Calculus Concept Readiness (CCR) instrument assesses foundational understandings and reasoning abilities that have been documented to be essential for learning calculus. The CCR Taxonomy describes the understandings and reasoning abilities assessed by CCR. The CCR is a 25-item multiple-choice instrument that can be used as a placement test for entry into calculus and to assess the effectiveness of precalculus level instruction. Results from administering the CCR to first semester calculus students at the beginning of the semester revealed severe weaknesses in students’ foundational knowledge and reasoning abilities for learning calculus. Correlating CCR results with course grades revealed that students with higher CCR scores are better prepared to succeed in beginning calculus. The CCR data further identified specific ways of thinking and concepts for which precalculus instruction could be improved to influence student learning and preparation for calculus.