Maphutha, Kgaladi
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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.
Supporting Students in Developing Mathematics Learning Media for Fractions Topic Setiyani, Eka Denti; Partono, Partono; Nusantara, Duano Sapta; Maphutha, Kgaladi
Jurnal Sains Sosio Humaniora Vol. 9 No. 1 (2025): Volume 9, Nomor 1, Juni 2025
Publisher : LPPM Universitas Jambi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22437/jssh.v9i1.38296

Abstract

This study aims to address the challenges faced by seventh-grade students in understanding fraction concepts, particularly their difficulties in both conceptualizing and applying fractions in real-life contexts. To tackle these issues, a training program was designed to enhance students' creativity and improve their comprehension of fractions through the development of mathematics learning media. The training was specifically conducted at MTs Miftahul Ulum, and it employed a two-phase methodology. The first phase involved the delivery of instructional content on fractions, while the second phase focused on guiding students in the creation of simple, yet effective, mathematics learning media. The results of the training indicated a high level of engagement and enthusiasm among participants, as demonstrated by their active involvement in the media creation process. This study contributes to the pedagogical field by providing an innovative approach for supporting students in designing and utilizing learning media, ultimately fostering a more interactive and engaging learning environment. It is anticipated that the knowledge gained from this training will empower students to design creative learning tools that can enhance their understanding of mathematical concepts, particularly fractions.
Penggunaan Pendekatan Konkret-Gambar-Abstrak untuk Meningkatkan Pemahaman Konseptual Peserta Didik tentang Pecahan Sello, Leboho; Maphutha, Kgaladi; Paul, Mutodi
Edumatica : Jurnal Pendidikan Matematika Vol 14 No 3 (2024): Edumatica: Jurnal Pendidikan matematika (Desember 2024)
Publisher : Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Jambi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22437/edumatica.v14i3.37168

Abstract

In this paper, we explored how using the Concrete-Pictorial-Abstract (CPA) approach enhances learners’ conceptual understanding of fractions in the Capricorn North District of South Africa. The research is framed within the conceptual understanding theory rooted in cognitive constructivism. Conceptual learning is understanding mathematical ideas as an integrated and functional system with three components: comprehension, operations, and relations. A one-phase concurrent embedded mixed-method research design was used to gather qualitative data through task-based interviews and quantitative data through pretests and post-tests. Deductive thematic analysis was used to analyse the qualitative data. The quantitative data was analysed using descriptive statistics, independent and paired samples T-tests. Seventy (70) conveniently sampled Grade 7 learners participated in the study. The findings indicate that the CPA approach enhanced the learners’ conceptual understanding of fractions though the effect size of the intervention is minimal and negligible. Furthermore, the study found that the incorporation of concrete objects and visual aids proved to be efficient. Additionally, the qualitative results revealed how learners’ conceptual understanding of fractions was enhanced during the intervention. This study contributes to innovative teaching methods of fractions, potentially enhancing mathematics performance and inspiring educators to explore new teaching approaches.