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An Analysis of the Order of Limit-Related Topics as Presented in Six Elementary Calculus Textbooks

Antonides, Joseph
http://rave.ohiolink.edu/etdc/view?acc_num=osu1492688976294564

Abstract Details

2017, Master of Mathematical Sciences, Ohio State University, Mathematical Sciences.
We catalog and analyze all facts, definitions, and examples related to the limit concept presented in six elementary calculus textbooks. We found that the six calculus textbooks have eight items in common, and we construct a weighted digraph illustrating the common orders of pairs of items included in the six texts, if one exists. Five of the six textbooks have twelve items in common, and we construct a similar weighted digraph for these concepts. Finally, we discuss the pedagogical and cognitive appropriateness of several edges found in the weighted digraphs, suggest two resources that address the objections we raise, and suggest a method for constructing a cognitively-based order of limit-related topics.
James Fowler (Advisor)
Michael Battista (Committee Member)
83 p.
Mathematics; Mathematics Education
Limits; calculus; mathematics education; textbook analysis

Recommended Citations

Citations

  • Antonides, J. (2017). An Analysis of the Order of Limit-Related Topics as Presented in Six Elementary Calculus Textbooks [Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1492688976294564

    APA Style (7th edition)

  • Antonides, Joseph. An Analysis of the Order of Limit-Related Topics as Presented in Six Elementary Calculus Textbooks. 2017. Ohio State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1492688976294564.

    MLA Style (8th edition)

  • Antonides, Joseph. "An Analysis of the Order of Limit-Related Topics as Presented in Six Elementary Calculus Textbooks." Master's thesis, Ohio State University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=osu1492688976294564

    Chicago Manual of Style (17th edition)

osu1492688976294564
541
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This open access ETD is published by The Ohio State University and OhioLINK.