A Study of Students’ Readiness to Learn Calculus View Full Text


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Article Info

DATE

2015-07

AUTHORS

Marilyn P. Carlson, Bernard Madison, Richard D. West

ABSTRACT

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. More... »

PAGES

209-233

References to SciGraph publications

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  • 1992-06. Development of the process conception of function in EDUCATIONAL STUDIES IN MATHEMATICS
  • 2007-12. The design of tasks in support of teachers’ development of coherent mathematical meanings in JOURNAL OF MATHEMATICS TEACHER EDUCATION
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  • 1996. Functions and Calculus in INTERNATIONAL HANDBOOK OF MATHEMATICS EDUCATION
  • 2013-06. Making sense by measuring arcs: a teaching experiment in angle measure in EDUCATIONAL STUDIES IN MATHEMATICS
  • 1994-03. Images of rate and operational understanding of the fundamental theorem of calculus in EDUCATIONAL STUDIES IN MATHEMATICS
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    URI

    http://scigraph.springernature.com/pub.10.1007/s40753-015-0013-y

    DOI

    http://dx.doi.org/10.1007/s40753-015-0013-y

    DIMENSIONS

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