Enhancing Performance in Mathematics Through Motivation, Peer Assisted Learning, And Teaching Quality: The Mediating Role of Student Interest

Arthur, Dogbe, Asiedu-Addo · Eurasia Journal of Mathematics, Science and Technology Education · 2022 · education · 10.29333/ejmste/11509 · record arthur2022-enhancing-performance-in-mathemati
tag layer · index · concepts · authors · עברית
Where this record's text came from. faceted 2026-08 by reading the locally held text (pdftext); every evidence string verified as an exact substring of that text before merging. Replication status set to 'contested' because the paper itself states its peer-assisted-learning null finding runs against prior studies while its motivation and teaching-quality findings agree with them. The 'contradicts' relation is the weakest of the four records: the sentence quoted states the contradiction explicitly but names the opposing studies only in the following sentences, so the target is reconstructed from adjacent named citations rather than from the quoted sentence itself. Note also that 'performance in mathematics' here is a self-report Likert construct (items such as 'Learning mathematics enhances my thinking ability'), not an achievement score - the facets cannot capture that the outcome variable is not measured attainment. The PDF extraction interleaves two-column text in places (words such as 'firstorder' are joined); quotes are copied with those artefacts intact. 2026-08-14, 2026-08-15 and 2026-08-25 schema-0.3 passes: every quote verified as an exact substring of the staged text and anchored at merge time; concept terms verified present; every edge endpoint an existing node.
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Other fields define these differently the same word, defined another way in another discipline
intrinsic motivation 3 fields · bootstrap 2 fields · confidence interval 2 fields · extrinsic motivation 2 fields · discriminant validity 2 fields

Tags on this paper

Every tag the record carries, each linking to every other paper in the corpus that carries it. A tag appears here whether or not its words occur in the article — the spans below are only the ones a sentence in this paper licenses. Of the 6 concept tags on this paper, all 6 are grounded in a quoted sentence.
teaching quality confirmatory factor analysis performance in mathematics mathematics learning interest peer assisted learning mathematics learning motivation Peer assisted learning does not reach performance directly; it first raises students' interest in mathematics, and that interest is what raises performance Interest is a necessary link in the chain: peer learning that fails to build interest produces no performance gain at all intrinsic motivation extrinsic motivation convergent validity discriminant validity cognitive activation classroom management p-close Mathematics learning motivation (MOTI) Peer assisted mathematics learning (PEER) Mathematics teaching quality (QUAL) Performance in mathematics (ACHIEV) Student interest in mathematics Confirmatory Factor Analysis (CFA) structural equation modeling Structural Equation Modelling (SEM) Cronbach's alpha Cronbach’s alpha (CA) bootstrap Bias-Corrected (BC) percentile method of bootstrapping average variance extracted Average Variance Extracted (AVE) correlation inter-correlation coefficients mean mean score confidence interval descriptive and inferential statistics observational-study

Legend

relation to other workclaim_relationshow this paper stands to another: agrees, contradicts, extends, qualifies
claim typeclaim_typethe shape of the claim: existence, mechanism, method, critique, prediction, null
concept edgeconcept_edgesan asserted relation between two concepts, with the sentence asserting it
conceptconceptsan idea the paper works with, quoted where the paper uses it
content tagcontent_tagsa finding, definition, quantity, statistic or variable named in the paper
controlcontrolsan experiment run to eliminate a rival explanation
limitationlimitationswhat the paper says its evidence cannot support
mechanismmechanismshow the reported effect is said to come about
methodmethodhow the paper produced its evidence
phenomenonphenomenonthe effect or regularity under study
sensesensesa distinct use of a term, quoted where the paper fixes it

The paper

The full text is not reproduced here. This article is not cleared for redistribution, so the page carries the tag layer only. Its evidence sentences are withheld; the grounding status remains with each tag, and the article itself is at https://doi.org/10.29333/ejmste/11509. The reading view exists for the papers whose licence permits it.

Every tag on this page

claim_relations 1 · claim_type 1 · concept_edges 3 · concepts 6 · content_tags 38 · controls 1 · limitations 7 · mechanisms 2 · method 1 · phenomenon 1 · senses 3

Relations on this page carry a quotation for the claim. Where a relation was separately evidenced — and so tested against the vocabulary for its type — the row says so; none of 3 relations here carry that mark. The rest are the tagger’s reading of the sentence quoted beside them.

facettagfieldconf.whose words
claim_typemechanism
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claim_typethe paper's words
phenomenonself-reported mathematics performance in undergraduates
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phenomenonthe paper's words
methodobservational-study
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methodthe paper's words
mechanismsmechanisms
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mechanisms[0]the tagger's words
mechanismsmechanisms
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mechanisms[1]the tagger's words
limitationsThe study analysed only the higher-order constructs of teaching quality and learning interest, not their first-order sub-dimensions, which might have yielded different results.
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what this limits: the level at which the finding holds: THIS STUDY HOWEVER FOCUSED ON THE HIGHER-ORDER VARIABLES (TEACHING QUALITY AND LEARNING INTEREST), WITHOUT SPECIFIC ATTENTION ON THE FIRST-ORDER VARIABLES
limitations[0]the tagger's words
limitationsAttending to the first-order variables is left to future research.
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what this limits: the treatment of the first-order variables: FOCUSING SPECIFIC ATTENTION ON THE FIRST-ORDER VARIABLES MAY HAVE PROVIDED [a] DIFFERENT PERSPECTIVE TO THE RESULTS ATTAINED
limitations[1]the tagger's words
limitationsMeasurement items were deleted by a stipulated loading threshold, so the constructs analysed are not the constructs as originally specified.
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what this limits: the constructs in this model as the ones the instrument was designed to measure: items loading below 0.5 were deleted during the confirmatory factor analysis
limitations[2]1.0the tagger's words
limitationsOnly the higher-order variables were analysed; the authors state the first-order dimensions were not examined and might have given a different picture.
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what this limits: conclusions about teaching quality or learning interest as such: only the higher-order variables were analysed, and the authors state the first-order dimensions might have given a different perspective
limitations[3]1.0the tagger's words
limitationsThe sample is non-random and drawn from a single campus, while the framing concerns mathematics performance across the region.
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what this limits: generalising these results beyond the studied group: the 373 first-year undergraduates were selected by purposive and convenience sampling on one campus
limitations[4]1.0the tagger's words
limitationsTHREE OF THE FIVE CONSTRUCTS FALL BELOW THE CONVENTIONAL 0.7 RELIABILITY THRESHOLD and the paper reports the figures without comment: motivation 0.655, mathematics learning 0.597, interest 0.667, against teaching quality 0.701 and performance 0.704. The two mediation results the paper turns on rest on the interest scale at 0.667.
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limitations[5]0.95the tagger's words
limitationsSeven measurement items were deleted after the fact for loading below 0.5 - two each from motivation and peer assisted learning, three from teaching quality - so the constructs analysed are not the constructs the instrument was designed to measure, and the deletion is reported per construct rather than justified.
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limitations[6]0.9the tagger's words
controlsthe Fornell and Larcker thresholds applied - average variance extracted at least 0.5 and composite reliability at least 0.7 - before the constructs are used
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eliminates: constructs that do not measure a single thing, or measure it unreliably, being carried into the structural model as if they did · outcome (stated by the tagger, no quotation): held
controls[0]0.85the tagger's words
conceptsteaching quality
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concepts[0]the paper's words
conceptsconfirmatory factor analysis
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concepts[1]the paper's words
conceptsperformance in mathematics
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concepts[2]the paper's words
conceptsmathematics learning interest
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concepts[3]0.95the paper's words
conceptspeer assisted learning
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concepts[4]0.95the paper's words
conceptsmathematics learning motivation
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concepts[5]0.95the paper's words
sensesteaching quality - AS ANALYSED HERE: a single higher-order variable, with its first-order dimensions deliberately not examined
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senses[0]1.0the tagger's words
sensesperformance in mathematics - as a latent variable measured by questionnaire items, whose number is decided after the fact by the factor loadings
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senses[1]1.0the tagger's words
sensesmediation - used here in two senses that the paper distinguishes by result: PARTIAL, where the direct path survives (motivation, teaching quality), and FULL, where it does not (peer assisted learning)
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senses[2]0.9the tagger's words
claim_relationscontradicts → prior peer-tutoring findings that peer assisted learning directly determines mathematics performance (Thurston et al., 2020; Rockinson-Szapkiw & Wendt, 2020; Alegre et al., 2019)
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claim_relations[0]the tagger's words
concept_edgespeer assisted learning —causes→ mathematics learning interest
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strength of the relation: 0.9 · note: FULL MEDIATION, which is a claim that a DIRECT path is absent: peer assisted learning reaches performance only through interest. The paper's contribution is the removal of an edge other studies drew, not the addition of one. Audit 2026-09-28: DOUBTFUL - read against its full span and kept, but interest 'fully mediated' the relation of peer assisted learning to performance; causes on the first leg is loose.
concept_edges[0]0.9the tagger's words
concept_edgesmathematics learning motivation —causes→ performance in mathematics
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differs in: PARTIAL AGAINST FULL MEDIATION - motivation keeps a direct path to performance alongside the one through interest, where peer assisted learning keeps none. Same mediator, same outcome, and the difference is whether the direct effect survives · strength of the relation: 0.8
concept_edges[1]0.9the tagger's words
concept_edgesmathematics learning interest —causes→ performance in mathematics
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strength of the relation: 0.8
concept_edges[2]0.85the tagger's words
content_tagsconfirmatory factor analysis
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content_tags.statistics[0]the tagger's words
content_tagsstructural equation modeling
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content_tags.statistics[1]the tagger's words
content_tagsCronbach's alpha
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content_tags.statistics[2]the tagger's words
content_tagsbootstrap
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also in: bootstrap
content_tags.statistics[3]the tagger's words
content_tagsaverage variance extracted
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content_tags.statistics[4]the tagger's words
content_tagscorrelation
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also in: correlation
content_tags.statistics[5]the tagger's words
content_tagsmean
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also in: mean
content_tags.statistics[6]the tagger's words
content_tagsconfidence interval
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content_tags.statistics[7]the tagger's words
content_tagsdescriptive and inferential statistics
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content_tags.statistics[8]the tagger's words
content_tagsMathematics learning motivation had a direct positive effect on performance in mathematics, supporting H1.
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content_tags.findings[0]the tagger's words
content_tagsPeer assisted mathematics learning had no statistically significant direct effect on performance in mathematics, so H2 was rejected.
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content_tags.findings[1]the tagger's words
content_tagsMathematics teaching quality had a direct positive effect on students' performance in mathematics.
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content_tags.findings[2]the tagger's words
content_tagsBecause peer assisted learning had no direct effect, student interest in mathematics fully mediated the peer-learning-to-performance relationship.
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content_tags.findings[3]the tagger's words
content_tagsStudent interest only partially mediated the motivation-to-performance relationship, because motivation also acted directly on performance.
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content_tags.findings[4]the tagger's words
content_tagsMotivation had a significant positive effect on students' interest in mathematics (β = 1.574).
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content_tags.findings[5]the tagger's words
content_tagsStudents' interest in mathematics itself had a significant positive effect on their performance in mathematics.
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content_tags.findings[6]the tagger's words
content_tagsintrinsic motivation
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content_tags.definitions[0]the tagger's words
content_tagsextrinsic motivation
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content_tags.definitions[1]the tagger's words
content_tagspeer assisted learning
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content_tags.definitions[2]the tagger's words
content_tagsconvergent validity
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content_tags.definitions[3]the tagger's words
content_tagsdiscriminant validity
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content_tags.definitions[4]the tagger's words
content_tagscognitive activation
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content_tags.definitions[5]the tagger's words
content_tagsclassroom management
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content_tags.definitions[6]the tagger's words
content_tagsp-close
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also in: p-close
content_tags.definitions[7]the tagger's words
content_tagsMathematics learning motivation (MOTI)
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content_tags.variables[0]the tagger's words
content_tagsPeer assisted mathematics learning (PEER)
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content_tags.variables[1]the tagger's words
content_tagsMathematics teaching quality (QUAL)
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content_tags.variables[2]the tagger's words
content_tagsPerformance in mathematics (ACHIEV)
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content_tags.variables[3]the tagger's words
content_tagsStudent interest in mathematics
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content_tags.variables[4]the tagger's words
content_tagsβ = 0.937; C. R. = 5.534 — Path coefficient and critical ratio for the direct effect of mathematics learning motivation on performance in mathematics
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content_tags.quantities[0]the tagger's words
content_tagsβ = 1.574; C. R. = 9.106 — Path coefficient and critical ratio for the effect of mathematics learning motivation on students' interest in mathematics, the study's largest coefficient
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content_tags.quantities[1]the tagger's words
content_tagsβ = 0.618; C. R. = 9.968 — Path coefficient and critical ratio for the effect of interest in mathematics on performance in mathematics
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content_tags.quantities[2]the tagger's words
content_tags0.973 — Coefficient of the indirect (mediated) effect of motivation on performance via interest
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content_tags.quantities[3]the tagger's words
content_tags0.143 — Coefficient of the indirect effect of peer assisted learning on performance via interest
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content_tags.quantities[4]the tagger's words
content_tags373 — Number of usable questionnaires retained out of an ideal sample of 375
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content_tags.quantities[5]the tagger's words
content_tags0.951 — Cronbach's alpha for the students' interest in mathematics scale, the highest of the five constructs
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content_tags.quantities[6]the tagger's words
content_tags5,000 — Number of bootstrap samples drawn for the bias-corrected percentile mediation test
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content_tags.quantities[7]the tagger's words
content_tags4.427 — Highest construct mean on the 5-point Likert scale, for mathematics learning motivation
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content_tags.quantities[8]the tagger's words

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