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Related Experiment Video

Updated: Jan 26, 2026

Multimedia Battery for Assessment of Cognitive and Basic Skills in Mathematics BM-PROMA

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Published on: August 28, 2021

Mathematical proof: from mathematics to school mathematics.

¹Departamento de Matemática, UIED, Faculdade de Ciências e Tecnologia, Universidade NOVA de Lisboa , Campus de Caparica, Caparica 2829-516 , Portugal.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences

|April 11, 2019

Summary

This summary is machine-generated.

Mathematical proof is crucial but underutilized in schools. Adapting proof to student age and emphasizing explanation over mere verification enhances learning.

Keywords:

functions of proof proof simple proof

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Area of Science:

Mathematics Education
Foundations of Mathematics

Background:

Proof is central to mathematical knowledge development and communication.
Mathematical proof is currently underrepresented in school curricula.

Purpose of the Study:

Characterize the understanding and function of mathematical proof in schools.
Explore the meaning and relevance of 'simple proof' in educational contexts.

Main Methods:

Qualitative analysis of the role and perception of mathematical proof in schools.
Discussion of pedagogical approaches to integrating proof across educational levels.

Main Results:

The integration of mathematical proof at all school levels is a recent and incompletely realized concept.
Adapting proof to student age requires reduced formality and exposure to diverse proof functions.

Conclusions:

The function of explanation in mathematical proof offers significant illumination and empowerment for student learning.
The concept of 'simple proof' and its aesthetic aspects warrant further attention for teachers implementing proof in classrooms.