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All Journal Journal of Medives: Journal of Mathematics Education IKIP Veteran Semarang Journal on Mathematics Education
Mutodi, Paul
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Education Mathematics Social Sciences Other

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Exploring grade 11 learners’ mathematical connections when solving two-dimensional trigonometric problems in an activity-based learning environment Maphutha, Kgaladi; Maoto, Satsope; Mutodi, Paul
Journal on Mathematics Education Vol. 14 No. 2 (2023): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.v14i2.pp293-310

Abstract

In this paper, we explored the type of mathematical connections Grade 11 learners make when solving two-dimensional (2D) trigonometric problems in an Activity-Based Learning (ABL) environment. We followed a qualitative case study design within an interpretive paradigm. Convenience sampling was used to select a whole class of 45 Grade 11 learners from one of the public non-fee-paying secondary schools in Capricorn District, Limpopo Province of South Africa. Group work presentations and classroom interactions were used to collect data. Data were analyzed using deductive thematic analysis guided by the mathematical connections’ framework. The findings indicated that learners managed to make procedural, meaning, reversibility, different representations, feature, and inclusion part whole as well as integrated connections as they worked on 2D trigonometric problems in an ABL environment. We established that learners did not make generalization part-whole connections. In addition, we found that some learners lacked mathematical connections skills and failed to solve the problems. Engaging learners in an ABL environment provided a fine-grained approach that allowed them to make mathematical connections. We, therefore, recommend that teachers should create an ABL environment to enable learners to make different types of mathematics connections during the teaching and learning of trigonometric concepts.
The Conceptual Connections for Solving Trigonometric Equations Maphutha, Kgaladi; Mutodi, Paul
Jurnal Pendidikan Matematika IKIP Veteran Semarang Vol 9 No 3 (2025): Journal of Medives : Journal of Mathematics Education IKIP Veteran Semarang
Publisher : Urogram Studi Pendidikan Matematika, Universitas Ivet

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31331/medivesveteran.v9i3.3816

Abstract

The study explored Grade 11 learners conceptual connections ability as they solve trigonometric equations. A case study design within a qualitative research approach was used to explore how learners’ conceptual connections ability affected their solution process as they were solving trigonometric equations. Forty-eight (48) conveniently sampled grade 11 learners from a school in Capricorn South District, Limpopo Province of South Africa participated in the study. Data were gathered through written tasks and task-based interviews. Inductive thematic analysis was used to analyse the data. The study's results suggested that the capability of learners to establish connections within mathematics influences the effective solving of trigonometric equations. Learners with conceptual connections ability were able to connect concepts such as trigonometric identities, ratios, rules and appropriate algebraic processes and concepts, procedures as well as representing trigonometric equations using graphs, and tables. Learners who lacked conceptual connections abilities committed procedural and representation errors, and this affected their solution process as they solved trigonometric equations. This study, therefore, recommends that learners’ ability to make connections be enhanced during the teaching and learning process for their conceptual understanding of mathematics topics.
Co-Authors Maoto, Satsope Maphutha, Kgaladi