Polynomial calculus: rethinking the role of calculus in high schools
Autor: | William Crombie, Melva R. Grant, Mary C. Enderson, Neil S. Cobb |
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Rok vydání: | 2016 |
Předmět: |
060201 languages & linguistics
Applied Mathematics Teaching method 05 social sciences 050301 education 06 humanities and the arts medicine.disease Conceptual architecture Education Disadvantaged Mathematics (miscellaneous) Content analysis 0602 languages and literature medicine Key (cryptography) Calculus Mathematics education Limit (mathematics) 0503 education Calculus (medicine) Mathematics Exposition (narrative) |
Zdroj: | International Journal of Mathematical Education in Science and Technology. 47:823-836 |
ISSN: | 1464-5211 0020-739X |
DOI: | 10.1080/0020739x.2015.1133851 |
Popis: | Access to advanced study in mathematics, in general, and to calculus, in particular, depends in part on the conceptual architecture of these knowledge domains. In this paper, we outline an alternative conceptual architecture for elementary calculus. Our general strategy is to separate basic concepts from the particular advanced techniques used in their definition and exposition. We develop the beginning concepts of differential and integral calculus using only concepts and skills found in secondary algebra and geometry. It is our underlining objective to strengthen students' knowledge of these topics in an effort to prepare them for advanced mathematics study. The purpose of this reconstruction is not to alter the teaching of limit-based calculus but rather to affect students' learning and understanding of mathematics in general by introducing key concepts during secondary mathematics courses. This approach holds the promise of strengthening more students' understanding of limit-based calculus and enhanci... |
Databáze: | OpenAIRE |
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