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Ideas Foundational to Calculus Learning and Their Links to Students' Difficulties

Artigo2021

Patrick W. Thompson; Guershon Harel

Metadados apenas Página oficial: Ideas Foundational to Calculus Learning and Their Links to Students' Difficulties (abre em nova aba)

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Resumo

Existing literature reviews of calculus learning made an important contribution to our understanding of the development of mathematics education research in this area, particularly their documentation of how research transitioned from studying students' misconceptions to investigating students' understanding and ways of thinking per se. This paper has three main goals relative to this contribution. The first goal is to offer a conceptual analysis of how students' difficulties surveyed in three major literature review publications originate in the mathematical meanings and ways of thinking students develop in elementary, middle and early high school. The second goal is to highlight a contribution to an important aspect that the articles in this issue make but was overshadowed by other aspects addressed in existing literature reviews: the nature of the mathematics students experience under the name "calculus" in various nations or regions around the world, and the relation of this mathematics to ways ideas foundational to it are developed over the grades. The third goal is to outline research questions entailed from these articles for future research regarding each of them.

Dados da obra

Tipo
Artigo
Periódico
ZDM: Mathematics Education
Ano
2021
Idioma
en
Palavras-chave
Calculus; Fundamental Concepts; Mathematical Concepts; Thinking Skills; Mathematics Education; Elementary Secondary Education; Educational Research; Literature Reviews; Difficulty Level; Correlation; Comparative Education; Foreign Countries
Temas
Cálculo
ISSN
1863-9690
Acesso
Metadados apenas
Fontes
ERIC — Education Resources Information Center
Na Biblioteca desde
01/10/2026 · verificada em 03/10/2026

Como citar

ABNT
THOMPSON, Patrick W.; HAREL, Guershon. Ideas Foundational to Calculus Learning and Their Links to Students' Difficulties. ZDM: Mathematics Education, 2021. Disponível em: http://dx.doi.org/10.1007/s11858-021-01270-1. Acesso em: 5 nov. 2026.

APA

Thompson, P. W., & Harel, G. (2021). Ideas Foundational to Calculus Learning and Their Links to Students' Difficulties. ZDM: Mathematics Education. http://dx.doi.org/10.1007/s11858-021-01270-1

BibTeX
@article{thompson2021,
  author = {Thompson, Patrick W. and Harel, Guershon},
  title = {Ideas Foundational to Calculus Learning and Their Links to Students' Difficulties},
  year = {2021},
  journal = {ZDM: Mathematics Education},
  url = {http://dx.doi.org/10.1007/s11858-021-01270-1},
  language = {en}
}
RIS
TY  - JOUR
AU  - Thompson, Patrick W.
AU  - Harel, Guershon
TI  - Ideas Foundational to Calculus Learning and Their Links to Students' Difficulties
PY  - 2021
JO  - ZDM: Mathematics Education
UR  - http://dx.doi.org/10.1007/s11858-021-01270-1
LA  - en
ER  -

Referência gerada automaticamente a partir dos metadados das fontes; confira com o documento original. Baixar BibTeX · Baixar RIS

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