Learning to Prove by Exploring Sequences of Mathematical Statements in the 5th Grade
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Resumo
The article analyses the specifics of introducing students to mathematical proving. Based on the results of testing purposefully designed proving-learning activities, it examines how 5th-grade students learn to construct sequences of statements and how they perceive the concept of mathematical proving. Qualitative content analysis of the data showed that 5th-grade students construct exclusively informal proving from the mathematical statements known to them. They verify a statement by examining examples or by creating a proving for a generic example. Due to a lack of knowledge regarding relevant mathematical concepts, relationships, and the representation of abstract sequences of statements, some students fail not understand the aim of purposefully ordering mathematical statements. The variety of proving created by students is characterized by a fluctuating level of complexity related to the task formulation. Therefore, when preparing for the study of mathematical proving, it is essential to clarify the features of proving that students should know, and to outline in detail the stages of the proving-learning process.
Dados da obra
- Tipo
- Artigo
- Periódico
- Acta Paedagogica Vilnensia, v. 56
- Editora
- Vilnius University Press
- Ano
- 2026
- Idioma
- en
- Palavras-chave
- improvement of mathematics teaching; understanding of mathematical proving; learning to prove; justification of statements; secondary education
- DOI
- 10.15388/actpaed.2026.56.11
- ISSN
- 1392-5016, 1648-665X
- Acesso
- Acesso aberto
- Fontes
- DOAJ — Directory of Open Access Journals
- Na Biblioteca desde
- 01/10/2026 · verificada em 03/10/2026
Como citar
ABNT
ŠIAULYTĖ, Kristina; GRABAUSKIENĖ, Vaiva. Learning to Prove by Exploring Sequences of Mathematical Statements in the 5th Grade. Acta Paedagogica Vilnensia, v. 56, 2026. DOI: https://doi.org/10.15388/actpaed.2026.56.11.
APA
Šiaulytė, K., & Grabauskienė, V. (2026). Learning to Prove by Exploring Sequences of Mathematical Statements in the 5th Grade. Acta Paedagogica Vilnensia, 56. https://doi.org/10.15388/actpaed.2026.56.11
BibTeX
@article{siaulyte2026,
author = {Šiaulytė, Kristina and Grabauskienė, Vaiva},
title = {Learning to Prove by Exploring Sequences of Mathematical Statements in the 5th Grade},
year = {2026},
journal = {Acta Paedagogica Vilnensia},
volume = {56},
publisher = {Vilnius University Press},
doi = {10.15388/actpaed.2026.56.11},
language = {en}
}RIS
TY - JOUR AU - Šiaulytė, Kristina AU - Grabauskienė, Vaiva TI - Learning to Prove by Exploring Sequences of Mathematical Statements in the 5th Grade PY - 2026 JO - Acta Paedagogica Vilnensia VL - 56 DO - 10.15388/actpaed.2026.56.11 LA - en ER -
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