Edumatica : Jurnal Pendidikan Matematika

The Use of Concrete-Pictorial-Abstract Approach to Enhance Learners’ Conceptual Understanding of Fractions

Leboho Sello, Kgaladi Maphutha, Mutodi Paul — Wed, 25 Dec 2024 00:00:00 +0700

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.

Analysis of Mathematical Problem-Solving Ability Reviewed from Students' Self-Confidence in Grade VIII

Rohmatin Zukhriya, Kartono Kartono , Kristina Wijayanti — Tue, 31 Dec 2024 00:00:00 +0700

Mathematical problem-solving ability is one of the basic skills that helps students solve mathematical problems. This study aims to describe mathematical problem-solving skills based on the level of self-confidence. The research method is descriptive and qualitative. In this study, testing instruments and questionnaires were used for data collection. The study participants were six students which students representing high, medium, and low self-confidence categories with the sampling technique using a purposive sampling technique. The data analysis techniques in this study are data reduction, data presentation, and conclusion. The study findings show that students in the high confidence category could meet all the indicators of mathematical problem-solving ability. Students in the medium confidence category can meet three indicators of mathematical problem-solving ability, namely, constructing new knowledge through problem-solving, implementing and adapting appropriate plans/strategies to solve problems, and solving problems that arise in mathematics and other situations. Meanwhile, students in the low confidence category can meet the indicator of the mathematical problem-solving ability to construct new knowledge through problem-solving. Therefore, this research is expected to provide input for teachers to design lessons that can help students develop their mathematical problem-solving skills.

Primary Students’ Comprehension Errors in Translating Math Problems

Davina Aurelia, Ratna Ekawati, Slamet Arifin — Tue, 31 Dec 2024 00:00:00 +0700

Comprehension is the foundation of problem-solving; without proper understanding, students will struggle to solve problems correctly. This research aims to identify specific types of mathematical comprehension errors in primary school students based on indicators from Newman's theory. By using Newman's error analysis framework, the study gives a detailed, step-by-step look at how students lose comprehension. This research was conducted using a descriptive qualitative method with three third-grade students as subjects, selected based on their level of mathematical ability (high, medium, low) determined through a diagnostic test. The results of the data analysis show that across the three student ability levels analyzed, the data revealed distinct patterns in the types of comprehension breakdowns encountered. High-performing students demonstrated minimal comprehension errors, successfully identifying key information. In contrast, mid-level students exhibited more significant issues linking the available information. The lowest-performing students showed the most fundamental misunderstandings, incorrectly identifying basic facts. These findings imply the need for a teaching approach that emphasizes contextual understanding and the development of mathematical literacy in comprehending story-based problems. Integrating evidence-based methods like problem-based learning, which have been shown to improve mathematical literacy in primary students, could help address the comprehension challenges observed in this study.

DGMATH-based Augmented Reality as Learning Media Innovation in the Digital Era

Tue, 31 Dec 2024 00:00:00 +0700

The use of technology-based media can support students' creativity and optimize their learning outcomes, especially in mathematics, where many students often face difficulties. DGMATH AR is an augmented reality (AR)--based mathematics learning media designed to bring virtual animations into the real world in alignment with the learning material. This study aims to design AR-based learning media. The material used focuses on the properties of solid shapes for second-grade elementary school students. This research is a quantitative descriptive study involving users of the learning media, including teachers, students, and parents, as the subjects. The method employed is the Multimedia Development Life Cycle (MDLC), which consists of six stages: concept, design, material collection, assembly, testing, and distribution. The instrument used was a questionnaire based on the USE Questionnaire, comprising 30 statements grouped into four dimensions: usefulness, ease of use, ease of learning, and satisfaction. The questionnaire was administered to 100 respondents. The results of the USE Questionnaire showed scores of 81.12% for usefulness, 82.25% for ease of use, 82.31% for ease of learning, and 80.11% for satisfaction. Thus, it can be concluded that the AR-based DGMATH is highly suitable for use as mathematics learning media in the digital era.

Designing Learning Materials for Systems of Linear Equations in Two Variables in the Context of Jakabaring Tourism in Palembang

Sun, 19 Jan 2025 00:00:00 +0700

The System of Linear Equations in Two Variables (SLETV) is one of the essential topics in mathematics that often presents challenges for students to understand. Interventions in the learning process can be made by designing a Hypothetical Learning Trajectory (HLT) based on Indonesian Realistic Mathematics Education (PMRI), integrating local context to enhance student understanding. This study aims to describe the design of an HLT for the SLETV topic using the context of Jakabaring tourism in Palembang, which is relevant to students' daily lives. The method used is design research, consisting of three stages: preliminary design, design experiment (pilot experiment and teaching experiment), and retrospective analysis. The subjects of this study are 30 eighth-grade students from SMPN 9 Palembang. Data were collected through observations, interviews, and documentation. The HLT was compared with the Local Instructional Theory (LIT) that emerged during the learning process. The study results show that using the Jakabaring tourism context can facilitate students in understanding the SLETV concepts, formulating mathematical models from contextual problems, and solving these problems systematically while also introducing the relevance of SLETV to real-life situations.