Teaching and Learning Discrete Mathematics
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Resumo
In this paper, we provide an overall perspective on the teaching and learning of discrete mathematics. Our aim is to highlight what research has been conducted in this area and to connect it to existing research ideas for future work. We begin by characterizing discrete mathematics and its role in the school curriculum, highlighting themes, topics, and mathematical practices that distinguish discrete mathematics. We then present potential benefits of focusing on discrete mathematics topics for mathematics education; in particular, we discuss the accessibility of topics in discrete mathematics, the connection to mathematical processes and affect, and the relevance of discrete mathematics in our current society. We also emphasize discrete mathematics from an international perspective, highlighting studies from the US, Italy, France, Chile, and Germany, which are across all school levels--primary, middle, and secondary school, and with some implications for post-secondary education. We particularly discuss discrete topics including number theory, combinatorics, iteration and recursion, graph theory, and discrete games and puzzles; we describe and situate these topics within literature. We also suggest the additional topics of game theory and the mathematics of fairness that we hope to see addressed in future studies.
Dados da obra
- Tipo
- Artigo
- Periódico
- ZDM: Mathematics Education
- Ano
- 2022
- Idioma
- en
- Palavras-chave
- Mathematics Instruction; Teaching Methods; Mathematics Education; Relevance (Education); Elementary School Mathematics; Secondary School Mathematics; Foreign Countries; College Mathematics; Number Concepts; Graphs; Games; Puzzles
- Temas
- Acessibilidade, Currículo, Probabilidade
- 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
SANDEFUR, James et al.. Teaching and Learning Discrete Mathematics. ZDM: Mathematics Education, 2022. Disponível em: http://dx.doi.org/10.1007/s11858-022-01399-7. Acesso em: 5 nov. 2026.
APA
Sandefur, J., Lockwood, E., Hart, E., & Greefrath, G. (2022). Teaching and Learning Discrete Mathematics. ZDM: Mathematics Education. http://dx.doi.org/10.1007/s11858-022-01399-7
BibTeX
@article{sandefur2022,
author = {Sandefur, James and Lockwood, Elise and Hart, Eric and Greefrath, Gilbert},
title = {Teaching and Learning Discrete Mathematics},
year = {2022},
journal = {ZDM: Mathematics Education},
url = {http://dx.doi.org/10.1007/s11858-022-01399-7},
language = {en}
}RIS
TY - JOUR AU - Sandefur, James AU - Lockwood, Elise AU - Hart, Eric AU - Greefrath, Gilbert TI - Teaching and Learning Discrete Mathematics PY - 2022 JO - ZDM: Mathematics Education UR - http://dx.doi.org/10.1007/s11858-022-01399-7 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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