Development of Mathematical Problem-Solving Skills using Polya's Problem-Solving Process Combined with Bar Model Technique on Linear Equations with One Variable for Grade 7 Students in The Wachiraprakan School

Abstract

This research aimed to: 1) compare students' mathematical problem-solving skills on linear equations with one variable before and after learning through Polya's problem-solving process combined with the Bar Model technique, 2) compare post-learning problem-solving skills against the 70% criterion, and 3) examine students' satisfaction toward the instructional approach. The sample consisted of 22 Grade 7 students from Wachiraprakarn School Group under the Kamphaeng Phet Primary Educational Service Area Office 1, obtained through cluster random sampling. Research instruments included 6 lesson plans totaling 12 hours, a 20-item multiple-choice test, a 5-item subjective test, and a 5-level Likert satisfaction questionnaire. Data were analyzed using mean, standard deviation, percentage, and the Wilcoxon Signed-Rank Test. The findings revealed that:

1) students' mathematical problem-solving skills after learning were significantly higher than before learning at the .05 level,

2) 16 students (72.73%) met the 70% criterion, and post-learning skills were significantly higher than the criterion at the .05 level, and    3) overall student satisfaction was at a high level, with learning activity management receiving the highest mean score, followed by Polya's problem-solving process, perceived benefits, and the Bar Model technique, respectively.