Instructions and Recipes in Mathematical Proofs

Artigo2022

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Resumo

In mathematics education research, proofs are often conceptualized as sequences of mathematical assertions. We argue that this ignores proofs that contain instructions to perform mathematical actions, often in the form of imperatives, which are common both in mathematical practice and in undergraduate mathematics textbooks. We consider in detail a specific type of proof which we call a recipe proof, which is comprised of sequence of instructions that direct the reader to produce mathematical objects with desirable properties. We present a model of what it means to understand a recipe proof and use this model in conjunction with process-object theories from mathematics education research, to explain why recipe proofs are inherently difficult for students to understand.

Dados da obra

Tipo: Artigo
Periódico: Educational Studies in Mathematics
Ano: 2022
Idioma: en
Palavras-chave: Validity; Mathematical Logic; Mathematics Instruction; Models; Mathematics Education; Educational Research; Teaching Methods; Undergraduate Students
ISSN: 0013-1954
Acesso: Metadados apenas
Fontes: ERIC — Education Resources Information Center
Na Biblioteca desde: 01/10/2026 · verificada em 03/10/2026

Como citar

ABNT
WEBER, Keith; TANSWELL, Fenner Stanley. Instructions and Recipes in Mathematical Proofs. Educational Studies in Mathematics, 2022. Disponível em: http://dx.doi.org/10.1007/s10649-022-10156-2. Acesso em: 5 nov. 2026.

APA

Weber, K., & Tanswell, F. S. (2022). Instructions and Recipes in Mathematical Proofs. Educational Studies in Mathematics. http://dx.doi.org/10.1007/s10649-022-10156-2

BibTeX

@article{weber2022,
  author = {Weber, Keith and Tanswell, Fenner Stanley},
  title = {Instructions and Recipes in Mathematical Proofs},
  year = {2022},
  journal = {Educational Studies in Mathematics},
  url = {http://dx.doi.org/10.1007/s10649-022-10156-2},
  language = {en}
}

RIS

TY  - JOUR
AU  - Weber, Keith
AU  - Tanswell, Fenner Stanley
TI  - Instructions and Recipes in Mathematical Proofs
PY  - 2022
JO  - Educational Studies in Mathematics
UR  - http://dx.doi.org/10.1007/s10649-022-10156-2
LA  - en
ER  -

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