THE EFFECTS OF A PROOF COMPREHENSION TEST ON COMPREHENDING PROOFS WITHOUT WORDS

Nadav Marco

THE EFFECTS OF A PROOF COMPREHENSION TEST ON COMPREHENDING PROOFS WITHOUT WORDS

Nadav Marco^*

^*Corresponding author for this work

Teaching Certificate

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Scopus citations

Abstract

This study aims at exploring new ways to promote mathematical proof comprehension. It focuses on students' solutions to a proof activity based on a Proof Without Words (PWW). One hundred eighteen students worked in small groups to elaborate a proof, while having a PWW as an artifact at their disposal. Each student then individually wrote and submitted a proof-attempt and completed a proof comprehension test. We investigate the impact of the comprehension test on students' understanding of the proofs and their self-assessment. Findings show that students improved their proof-products in their answers to the test. They also reported higher proof-understanding after completing it and reduced their self-given-grades for their submitted proofs. We discuss the pedagogical roles the comprehension test served in the proving activity.

Original language	English
Title of host publication	Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education, 2021
Editors	Maitree Inprasitha, Narumon Changsri, Nisakorn Boonsena
Publisher	Psychology of Mathematics Education (PME)
Pages	230-237
Number of pages	8
ISBN (Print)	9786169383024
State	Published - 2021
Event	44th Conference of the International Group for the Psychology of Mathematics Education, PME 2021 - Virtual, Online Duration: 19 Jul 2021 → 22 Jul 2021

Publication series

Name	Proceedings of the International Group for the Psychology of Mathematics Education
Volume	3
ISSN (Print)	0771-100X
ISSN (Electronic)	2790-3648

Conference

Conference	44th Conference of the International Group for the Psychology of Mathematics Education, PME 2021
City	Virtual, Online
Period	19/07/21 → 22/07/21

Bibliographical note

Publisher Copyright:
© 2021 left to authors.

Cite this

Marco, N. (2021). THE EFFECTS OF A PROOF COMPREHENSION TEST ON COMPREHENDING PROOFS WITHOUT WORDS. In M. Inprasitha, N. Changsri, & N. Boonsena (Eds.), Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education, 2021 (pp. 230-237). (Proceedings of the International Group for the Psychology of Mathematics Education; Vol. 3). Psychology of Mathematics Education (PME).

Marco, Nadav. / THE EFFECTS OF A PROOF COMPREHENSION TEST ON COMPREHENDING PROOFS WITHOUT WORDS. Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education, 2021. editor / Maitree Inprasitha ; Narumon Changsri ; Nisakorn Boonsena. Psychology of Mathematics Education (PME), 2021. pp. 230-237 (Proceedings of the International Group for the Psychology of Mathematics Education).

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title = "THE EFFECTS OF A PROOF COMPREHENSION TEST ON COMPREHENDING PROOFS WITHOUT WORDS",

abstract = "This study aims at exploring new ways to promote mathematical proof comprehension. It focuses on students' solutions to a proof activity based on a Proof Without Words (PWW). One hundred eighteen students worked in small groups to elaborate a proof, while having a PWW as an artifact at their disposal. Each student then individually wrote and submitted a proof-attempt and completed a proof comprehension test. We investigate the impact of the comprehension test on students' understanding of the proofs and their self-assessment. Findings show that students improved their proof-products in their answers to the test. They also reported higher proof-understanding after completing it and reduced their self-given-grades for their submitted proofs. We discuss the pedagogical roles the comprehension test served in the proving activity.",

author = "Nadav Marco",

note = "Publisher Copyright: {\textcopyright} 2021 left to authors.; 44th Conference of the International Group for the Psychology of Mathematics Education, PME 2021 ; Conference date: 19-07-2021 Through 22-07-2021",

year = "2021",

language = "אנגלית",

isbn = "9786169383024",

series = "Proceedings of the International Group for the Psychology of Mathematics Education",

publisher = "Psychology of Mathematics Education (PME)",

pages = "230--237",

editor = "Maitree Inprasitha and Narumon Changsri and Nisakorn Boonsena",

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Marco, N 2021, THE EFFECTS OF A PROOF COMPREHENSION TEST ON COMPREHENDING PROOFS WITHOUT WORDS. in M Inprasitha, N Changsri & N Boonsena (eds), Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education, 2021. Proceedings of the International Group for the Psychology of Mathematics Education, vol. 3, Psychology of Mathematics Education (PME), pp. 230-237, 44th Conference of the International Group for the Psychology of Mathematics Education, PME 2021, Virtual, Online, 19/07/21.

THE EFFECTS OF A PROOF COMPREHENSION TEST ON COMPREHENDING PROOFS WITHOUT WORDS. / Marco, Nadav.
Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education, 2021. ed. / Maitree Inprasitha; Narumon Changsri; Nisakorn Boonsena. Psychology of Mathematics Education (PME), 2021. p. 230-237 (Proceedings of the International Group for the Psychology of Mathematics Education; Vol. 3).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Marco N. THE EFFECTS OF A PROOF COMPREHENSION TEST ON COMPREHENDING PROOFS WITHOUT WORDS. In Inprasitha M, Changsri N, Boonsena N, editors, Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education, 2021. Psychology of Mathematics Education (PME). 2021. p. 230-237. (Proceedings of the International Group for the Psychology of Mathematics Education).

THE EFFECTS OF A PROOF COMPREHENSION TEST ON COMPREHENDING PROOFS WITHOUT WORDS

Abstract

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