Journal on Mathematics Education
Vol. 15 No. 4 (2024): Journal on Mathematics Education

Level of students' proportional reasoning in solving mathematical problems

Sari, Riska Novia (Unknown)
Rosjanuardi, Rizky (Unknown)
Isharyadi, Ratri (Unknown)
Nurhayati, Aat (Unknown)



Article Info

Publish Date
20 Sep 2024

Abstract

This study aimed to evaluate the level of proportional reasoning among middle school students in their ability to solve mathematical problems involving proportions. Proportional reasoning is essential for understanding and mastering various mathematical concepts, serving as a fundamental skill for higher-level mathematics. A qualitative case study design was employed, involving 28 eighth-grade students from a school in Bandung, Indonesia. The participants were assessed using a set of proportion-related problems, including numerical comparison, non-proportional (additive), direct proportion, and inverse proportion tasks. The analysis focused on categorizing the students' problem-solving strategies into distinct levels of proportional reasoning, ranging from non-proportional to formal proportional reasoning. Additionally, three students representing high, moderate, and low mathematical performance were selected for in-depth interviews to explore their reasoning processes when addressing proportion problems. Data analysis included administering tests, reviewing students' problem-solving strategies, conducting in-depth interviews, and evaluating their proportional reasoning abilities. The findings revealed that students with high and moderate mathematical performance exhibited proportional reasoning levels ranging from 0 to 3, whereas low-performing students displayed levels ranging from 0 to 2. Moreover, students generally faced difficulties distinguishing between proportional and non-proportional problems. Even when correct answers were provided, many lacked a deep understanding of direct and inverse proportion concepts. The study also discusses several implications for enhancing students' proportional reasoning skills.

Copyrights © 2024






Journal Info

Abbrev

jme

Publisher

Subject

Education Mathematics Social Sciences Other

Description

The Journal on Mathematics Education (JME) is an international electronic journal that provides a platform for publishing original research articles, systematic literature reviews (invited contributions), and short communications related to mathematics education. The whole spectrum of research in ...