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Journal : Journal on Mathematics Education

Prospective teachers’ design of numeracy tasks using a physical distancing context Kohar, Ahmad Wachidul; Rahaju, Endah Budi; Rohim, Abdur
Journal on Mathematics Education Vol. 13 No. 2 (2022): 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.v13i2.pp191-210

Abstract

Physical distancing, which is widely practiced limiting the spread of COVID-19, is recognized to contain mathematical thoughts that can be harnessed as a context for prospective teachers’ practices of mathematical problem posing. The goal of this study is to investigate the profile of mathematical tasks posed by prospective mathematics teachers using the context of physical distancing that meets the criteria of numeracy tasks. Data were collected from 66 mathematical tasks posed by thirty-three prospective teachers at a public university in Surabaya, Indonesia, attending an assessment course of numeracy based on a problem-posing task. To analyze, the posed tasks were first identified as solvable or unsolvable tasks and then further categorized into the domains of the level of context use and the level of cognitive processes. Results show that the level of context use embedded in the posed tasks varies from zero to first order, with only a few of the posed tasks being coded as having second-order context. Regarding the levels of cognitive processes, most of the posed tasks reach the level of understanding, with only a small number of reasoning tasks identified. Interestingly, all the tasks coded to contain second-order context are classified as reasoning tasks. Some implications regarding designing numeracy tasks using physical distancing and interventions in teacher education related to numeracy task design are discussed.
Proportional reasoning in the artisan personality type: A case study of high school students in trigonometry ratios Ramlan, Andi Mariani; Budayasa, I Ketut; Rahaju, Endah Budi
Journal on Mathematics Education Vol. 16 No. 1 (2025): 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.v16i1.pp73-90

Abstract

Proportional reasoning is a critical component of mathematical competence that should be developed at the senior high school level, as it fosters both foundational and advanced mathematical understanding. Educators frequently encounter variations in proportional reasoning abilities among students, often influenced by individual personality types. However, limited research has specifically investigated the proportional reasoning capabilities of high school students with artisan personality types. This study aims to examine the strategies and approaches utilized by students with Artisan Personality Types (APT) in solving trigonometric comparison problems. Employing a qualitative descriptive methodology within a case study design, the research focused on high school students identified as having APT. Data were collected using proportional reasoning tasks, the Keirsey Personality Type Questionnaire, and structured interviews. The analysis was conducted qualitatively, with findings categorized based on established indicators of proportional reasoning. Results indicate that APT students demonstrate the ability to address proportional reasoning problems related to covariation, ratios, and proportions, employing distinct strategies and logical reasoning. Nevertheless, instances of both correct and incorrect responses were observed, often stemming from misinterpretations of the problem context. These findings provide valuable insights for future studies aimed at designing targeted instructional strategies and developing learning tools to enhance the proportional reasoning skills of students with APT.