Developing and Connecting Calculus Students' Notions of Rate-of Change and Accumulation: The Fundamental Theorem of Calculus.
Developing and Connecting Calculus Students' Notions of Rate-of Change and Accumulation: The Fundamental Theorem of Calculus.
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发展和联系微积分学生的变化率和累积的概念：微积分基本定理。
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
Joni Persson
中科院分区：
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作者：
M. Carlson;N. Smith;Joni Persson
Marilyn P. Carlson Nanci Smith Joni P. Carlson Arizona州立大学Arizona州立大学Arizona州立大学概述了与学习微积分基本定理有关的概念基础、推理能力和记法问题。利用这一理论框架，课程材料的开发，以促进这些理解和推理能力的学生。从一项研究，调查这些材料的有效性的第一学期微积分学生的理解FTC的结果显示，他们的理解积累和FTC的显着进步。在一些学生中观察到的一些具体困难为进一步完善理论框架和修订公平贸易委员会的活动提供了深刻的见解。
Marilyn P. Carlson Nanci Smith Joni Persson Arizona State University Arizona State University Arizona State University An overview of the conceptual underpinnings, reasoning abilities and notational issues related to learning the Fundamental Theorem of Calculus is provided. Using this theoretical framework, curricular materials were developed to promote these understandings and reasoning abilities in students. Results from a study that investigated the effectiveness of these materials on first semester calculus students’ understandings of the FTC revealed significant advances in their understandings of accumulation and the FTC. Some specific difficulties that were observed in select students provided insights for further refinement of the theoretical framework and for revision of the FTC activities.