Using dynamic tools to develop an understanding of the fundamental ideas of calculus
Although dynamic geometry software has been extensively used for teaching calculus concepts, few studies have documented how these dynamic tools may be used for teaching the rigorous foundations of the calculus. In this paper, we describe lesson sequences utilizing dynamic tools for teaching the eps...
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2013
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ph-ateneo-arc.mathematics-faculty-pubs-10332022-03-22T07:51:30Z Using dynamic tools to develop an understanding of the fundamental ideas of calculus Verzosa, Debbie Marie Guzon, Angela Fatima H De Las Peñas, Ma. Louise Antonette N Although dynamic geometry software has been extensively used for teaching calculus concepts, few studies have documented how these dynamic tools may be used for teaching the rigorous foundations of the calculus. In this paper, we describe lesson sequences utilizing dynamic tools for teaching the epsilon-delta definition of the limit and the fundamental theorem of calculus. The lessons were designed on the basis of observed student difficulties and the existing scholarly literature. We show how a combination of dynamic tools and guide questions allows students to construct their understanding of these calculus ideas. 2013-05-07T07:00:00Z text application/pdf https://archium.ateneo.edu/mathematics-faculty-pubs/34 https://www.tandfonline.com/doi/full/10.1080/0020739X.2013.790513 Mathematics Faculty Publications Archīum Ateneo dynamic tools dynamic geometry software epsilon-delta definition of limit fundamental theorem of calculus Educational Technology Mathematics Science and Mathematics Education |
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dynamic tools dynamic geometry software epsilon-delta definition of limit fundamental theorem of calculus Educational Technology Mathematics Science and Mathematics Education |
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dynamic tools dynamic geometry software epsilon-delta definition of limit fundamental theorem of calculus Educational Technology Mathematics Science and Mathematics Education Verzosa, Debbie Marie Guzon, Angela Fatima H De Las Peñas, Ma. Louise Antonette N Using dynamic tools to develop an understanding of the fundamental ideas of calculus |
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Although dynamic geometry software has been extensively used for teaching calculus concepts, few studies have documented how these dynamic tools may be used for teaching the rigorous foundations of the calculus. In this paper, we describe lesson sequences utilizing dynamic tools for teaching the epsilon-delta definition of the limit and the fundamental theorem of calculus. The lessons were designed on the basis of observed student difficulties and the existing scholarly literature. We show how a combination of dynamic tools and guide questions allows students to construct their understanding of these calculus ideas. |
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Verzosa, Debbie Marie Guzon, Angela Fatima H De Las Peñas, Ma. Louise Antonette N |
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Verzosa, Debbie Marie Guzon, Angela Fatima H De Las Peñas, Ma. Louise Antonette N |
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Verzosa, Debbie Marie |
title |
Using dynamic tools to develop an understanding of the fundamental ideas of calculus |
title_short |
Using dynamic tools to develop an understanding of the fundamental ideas of calculus |
title_full |
Using dynamic tools to develop an understanding of the fundamental ideas of calculus |
title_fullStr |
Using dynamic tools to develop an understanding of the fundamental ideas of calculus |
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Using dynamic tools to develop an understanding of the fundamental ideas of calculus |
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using dynamic tools to develop an understanding of the fundamental ideas of calculus |
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Archīum Ateneo |
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2013 |
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https://archium.ateneo.edu/mathematics-faculty-pubs/34 https://www.tandfonline.com/doi/full/10.1080/0020739X.2013.790513 |
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