Mathematical reasoning and communication word problems with mathematical problem-solving orientation: A relation between the skills

Developing students’ mathematical reasoning skills (MRS) and mathematical communication skills (MCS) is crucial, as both are foundational to effective mathematical problem-solving (MPS). Despite their theoretical interconnectedness, limited empirical evidence exists on how MRS and MCS relate to MPS, particularly in problem-based contexts. This study investigates the relationship between MRS and MCS within an MPS-oriented framework using a quantitative, descriptive correlational design. A modified mathematical word problem (MWP) essay test was administered to 117 students across two pilot classes. The test items were designed to elicit reasoning and communication processes associated with MPS. Psychometric analyses—including evidence of content validity (Aiken’s V), consequential validity, reliability indices (α and ω), and item-level metrics (discrimination and difficulty)—confirmed the instrument’s robustness. Factor analysis supported a unidimensional structure aligned with MPS. Correlational analyses revealed significant positive associations between MRS and MCS, meeting bivariate normality assumptions. Pearson’s r was 0.529 (95% CI: 0.261–0.722), Spearman’s ρ was 0.493 (95% CI: 0.215–0.697), and Kendall’s τ was 0.400 (95% CI: 0.101–0.632), indicating a strong relationship. These findings underscore the interdependence of reasoning and communication skills in the context of MPS. The study also offers a detailed analysis of student obstacles in solving MWPs, offering a nuanced understanding of cognitive and linguistic dimensions in MPS. Implications are discussed for researchers, policymakers, and educators, particularly in designing instructional interventions that strengthen MRS and MCS in support of MPS.

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Publication Details

Journal
Journal on Mathematics Education
Published
2025-06-21
DOI
https://doi.org/10.22342/jme.v16i2.pp529-558
Citations
1
Primary Topic
Mathematics Education and Pedagogy
Type
article
Field-Weighted Citation Impact
3.73

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article

Mathematical reasoning and communication word problems with mathematical problem-solving orientation: A relation between the skills

Rimajon Sotlikova, Septinda Rima Dewanti, Gulzhaina K. Kassymova, Heri Retnawati et al.
1 citations
Journal on Mathematics Education
Mathematics Education and Pedagogy
3.73
article

Mathematical reasoning and communication word problems with mathematical problem-solving orientation: A relation between the skills

Rimajon Sotlikova, Septinda Rima Dewanti, Gulzhaina K. Kassymova, Heri Retnawati, Atut Reni Septiana, Ahmad Naufal Aljura
article en
1 citations

Abstract

Developing students’ mathematical reasoning skills (MRS) and mathematical communication skills (MCS) is crucial, as both are foundational to effective mathematical problem-solving (MPS). Despite their theoretical interconnectedness, limited empirical evidence exists on how MRS and MCS relate to MPS, particularly in problem-based contexts. This study investigates the relationship between MRS and MCS within an MPS-oriented framework using a quantitative, descriptive correlational design. A modified mathematical word problem (MWP) essay test was administered to 117 students across two pilot classes. The test items were designed to elicit reasoning and communication processes associated with MPS. Psychometric analyses—including evidence of content validity (Aiken’s V), consequential validity, reliability indices (α and ω), and item-level metrics (discrimination and difficulty)—confirmed the instrument’s robustness. Factor analysis supported a unidimensional structure aligned with MPS. Correlational analyses revealed significant positive associations between MRS and MCS, meeting bivariate normality assumptions. Pearson’s r was 0.529 (95% CI: 0.261–0.722), Spearman’s ρ was 0.493 (95% CI: 0.215–0.697), and Kendall’s τ was 0.400 (95% CI: 0.101–0.632), indicating a strong relationship. These findings underscore the interdependence of reasoning and communication skills in the context of MPS. The study also offers a detailed analysis of student obstacles in solving MWPs, offering a nuanced understanding of cognitive and linguistic dimensions in MPS. Implications are discussed for researchers, policymakers, and educators, particularly in designing instructional interventions that strengthen MRS and MCS in support of MPS.

Journal on Mathematics EducationVol. 16(2)
Yogyakarta State University (ID), Queensland University of Technology (AU), Satbayev University (KZ), University of Manchester (GB), Abai Kazakh National Pedagogical University (KZ), Webster University (US)
Universitas Negeri Yogyakarta
Openalex Percentile: Top 9%
Mathematics Education and Pedagogy
3.73
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