Journal of Advanced Sciences and Mathematics Education
Vol. 5 No. 2 (2025): Journal of Advanced Sciences and Mathematics Education

Exploring first-year students' reasoning gaps in bivariate analysis: A case study from a resource-limited higher education context

Makwakwa, Eva Gavhaza (Unknown)



Article Info

Publish Date
08 Aug 2025

Abstract

Background: Many students struggle with bivariate analysis, especially where digital tools are lacking and manual methods dominate learning.Aim: This study seeks to uncover the types of conceptual misunderstandings and procedural errors that first-year undergraduate students encounter when solving problems related to correlation and regression. It also aims to explore the underlying factors contributing to these difficulties.Method: A qualitative analysis was conducted using examination scripts from 120 first-year students enrolled in a Descriptive Statistics and Probability module at a South African open distance learning university. The students’ responses to questions on linear correlation, regression fitting, and prediction were examined through a combination of descriptive statistics and deductive content analysis.Results: The analysis revealed a wide range of misconceptions. While 80% of students could correctly identify variables, only 41.7% computed the correlation coefficient accurately, 36.7% fitted the regression line correctly, and 33.3% predicted y-values properly. Frequent errors included misusing formulas, confusing statistical terms, and failing to check the plausibility of results. Manual methods, in particular, increased the risk of computational and interpretative mistakes.Conclusion: The findings point to substantial gaps in both conceptual understanding and procedural fluency among novice statistics students. To support better learning outcomes, educators should prioritize teaching strategies that integrate conceptual clarity, multiple solution paths, and routine validation practices, especially in contexts where digital tools are not widely available.

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Journal Info

Abbrev

jasme

Publisher

Subject

Chemistry Education Mathematics Physics Social Sciences

Description

Journal of Advanced Sciences and Mathematics Education [e-ISSN: 2798-1606] is a journal published by the Foundation of Advanced Education. Journal of Advanced Science and Mathematics Education is a communication medium used by researchers, lecturers, teachers, practitioners, and students to convey ...