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Journal : Journal of Honai Math

Structural Model Between Mathematical Reasoning and Mathematics Problem-Solving Abilities of Junior High School Students Anggoro, Abdurrobbil Falaq Dwi; Hendriana, Heris; Yuliani, Anik
Journal of Honai Math Vol. 6 No. 1 (2023): Journal of Honai Math
Publisher : Universitas Papua

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30862/jhm.v6i1.405

Abstract

Based on the preliminary survey, it is known that the scores of junior high school students' math problem-solving abilities are low. One of the causes of the low ability to solve mathematical problems is the low ability of students' mathematical reasoning. The purpose of this study was to examine the suitability of the structural equation model for the relationship between mathematical reasoning abilities and mathematical problem-solving abilities. This research design is ex post facto. The population of this study was students of SMP N 1 Bengkulu City, as many as 296 students. A simple sample randomly selected as many as 100 people. The research instrument was a test of mathematical problem-solving ability and a test of mathematical reasoning ability. The data were analyzed through a structural equation model with the help of the Lisrel 8.8 and SPSS programs. The result of this research is that the path efficiency is very significant, meaning that the ability of mathematical reasoning is directly related to the ability of solving mathematical problems. This means that an increase in mathematical reasoning ability leads to an increase in mathematical problem-solving ability. The conclusion of this study is that mathematical reasoning ability is directly related to mathematical problem-solving ability, with the contribution of mathematical reasoning ability to increasing mathematical problem-solving ability of 15.13%. The implication is that in the process of learning to solve mathematical problems, mathematical reasoning abilities are a necessary condition for students before learning to solve mathematical problems.
Beyond Straight Lines: Contextualizing Lobachevsky's Parallel Postulate Through the Geometry of the "Bubu" Fishing Gear Anggoro, Abdurrobbil Falaq Dwi; Wardono, Wardono; Mariani, Scolastika; Susilo, Bambang Eko
Journal of Honai Math Vol. 8 No. 3 (2025): Journal of Honai Math
Publisher : Universitas Papua

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30862/jhm.v8i3.974

Abstract

The axiom of Lobachevsky's parallelism is one of the topics that students often find difficult. The purpose of this research is to design a learning trajectory about the Lobachevsky axiom of parallelism using the context of a valid, practical and effective traditional fishing gear "bubu". This research applies development studies which consist of three main phases: preliminary study: analysis and exploration; prototype development: design and construction; and the last stage of assessment: evaluation and reflection. The results of the study show that the learning trajectory of the Lobachevsky equation axiom using the context of traditional fishing gear "bubu" is valid, practical and effective to improve problem-solving skills for mathematics education students. The conclusion is that there are six steps to the learning trajectory, namely: First, identification of problems with the local cultural context; Second: representation of problems; Third: make a settlement plan; Fourth: implementing the plan; Fifth: evaluate the solution of the problem; and lastly, make a conclusion about the axiom of Lobachevsky's parallelism.