Introducing a measure of perceived self-efficacy for proof (PSEP): Evidence of validity

It is widely recognized that students encounter difficulties with proof across all grades and beyond, yet standardized instruments related specifically to students’ perceived self-efficacy for mathematical proof have not been readily available. The purpose of this study was to develop and investigat...

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Autores principales:	Benjamin Shongwe, Vimolan Mudaly
Formato:	article
Lenguaje:	EN ID
Publicado:	Muhammadiyah University Press 2021
Materias:	calibration, factor analyses, instrument development, self-efficacy for proof Education (General) L7-991 Science Q Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/bce2ab1d5e664b11a6ae3633ee24e6d6
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spelling	oai:doaj.org-article:bce2ab1d5e664b11a6ae3633ee24e6d62021-11-21T14:42:32ZIntroducing a measure of perceived self-efficacy for proof (PSEP): Evidence of validity2503-369710.23917/jramathedu.v6i3.14138https://doaj.org/article/bce2ab1d5e664b11a6ae3633ee24e6d62021-07-01T00:00:00Zhttps://journals.ums.ac.id/index.php/jramathedu/article/view/14138https://doaj.org/toc/2503-3697It is widely recognized that students encounter difficulties with proof across all grades and beyond, yet standardized instruments related specifically to students’ perceived self-efficacy for mathematical proof have not been readily available. The purpose of this study was to develop and investigate preliminary validity evidence for a new instrument for measuring self-efficacy for mathematical proof that can be of importance to the field. The new Perceived Self-Efficacy for Proof (PSEP) questionnaire is a self-administered, 8-item questionnaire that quantifies experimentation, conjecturing, inductive reasoning, justification, and validation. To validate the PSEP, two studies with 260 eleventh grade students—recruited from three Dinaledi schools in EThekwini metropolitan area, South Africa—were conducted. In Study 1 (n=128), face and content validity were evaluated, and an exploratory factor analysis (EFA) was performed. In Study 2 (n=132), a confirmatory factor analysis (CFA) was conducted and external validity was investigated. In both samples, the PSEP was found to possess good internal consistency reliability with relatively high factor loadings on a single component. Although the findings in this report represent preliminary validation evidence, it can be concluded that the PSEP is a valid, reliable and sensitive measure of 11th grade students’ perceptions of their ability to construct a proof and may serve as a meaningful outcome in mathematical proof research and classroom proof education.Benjamin ShongweVimolan MudalyMuhammadiyah University Pressarticlecalibration, factor analyses, instrument development, self-efficacy for proofEducation (General)L7-991ScienceQMathematicsQA1-939ENIDJournal of Research and Advances in Mathematics Education, Vol 6, Iss 3, Pp 260-276 (2021)
institution	DOAJ
collection	DOAJ
language	EN ID
topic	calibration, factor analyses, instrument development, self-efficacy for proof Education (General) L7-991 Science Q Mathematics QA1-939
spellingShingle	calibration, factor analyses, instrument development, self-efficacy for proof Education (General) L7-991 Science Q Mathematics QA1-939 Benjamin Shongwe Vimolan Mudaly Introducing a measure of perceived self-efficacy for proof (PSEP): Evidence of validity
description	It is widely recognized that students encounter difficulties with proof across all grades and beyond, yet standardized instruments related specifically to students’ perceived self-efficacy for mathematical proof have not been readily available. The purpose of this study was to develop and investigate preliminary validity evidence for a new instrument for measuring self-efficacy for mathematical proof that can be of importance to the field. The new Perceived Self-Efficacy for Proof (PSEP) questionnaire is a self-administered, 8-item questionnaire that quantifies experimentation, conjecturing, inductive reasoning, justification, and validation. To validate the PSEP, two studies with 260 eleventh grade students—recruited from three Dinaledi schools in EThekwini metropolitan area, South Africa—were conducted. In Study 1 (n=128), face and content validity were evaluated, and an exploratory factor analysis (EFA) was performed. In Study 2 (n=132), a confirmatory factor analysis (CFA) was conducted and external validity was investigated. In both samples, the PSEP was found to possess good internal consistency reliability with relatively high factor loadings on a single component. Although the findings in this report represent preliminary validation evidence, it can be concluded that the PSEP is a valid, reliable and sensitive measure of 11th grade students’ perceptions of their ability to construct a proof and may serve as a meaningful outcome in mathematical proof research and classroom proof education.
format	article
author	Benjamin Shongwe Vimolan Mudaly
author_facet	Benjamin Shongwe Vimolan Mudaly
author_sort	Benjamin Shongwe
title	Introducing a measure of perceived self-efficacy for proof (PSEP): Evidence of validity
title_short	Introducing a measure of perceived self-efficacy for proof (PSEP): Evidence of validity
title_full	Introducing a measure of perceived self-efficacy for proof (PSEP): Evidence of validity
title_fullStr	Introducing a measure of perceived self-efficacy for proof (PSEP): Evidence of validity
title_full_unstemmed	Introducing a measure of perceived self-efficacy for proof (PSEP): Evidence of validity
title_sort	introducing a measure of perceived self-efficacy for proof (psep): evidence of validity
publisher	Muhammadiyah University Press
publishDate	2021
url	https://doaj.org/article/bce2ab1d5e664b11a6ae3633ee24e6d6
work_keys_str_mv	AT benjaminshongwe introducingameasureofperceivedselfefficacyforproofpsepevidenceofvalidity AT vimolanmudaly introducingameasureofperceivedselfefficacyforproofpsepevidenceofvalidity
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Introducing a measure of perceived self-efficacy for proof (PSEP): Evidence of validity

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