THE EFFECTIVENESS OF A PROBLEM-SOLVING PROGRAM IN SOLVING THE MATHEMATICAL PROBLEM AMONG 10TH GRADERS IN LIGHT OF THEIR VARIANCE OF THE MATHEMATICAL SELF-CONCEPT

Ahmed Mohammed Al-Kharousi, A. Al-Abed
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Abstract

This study aimed at investigating the impact of a problem-solving based program on mathematical problem-solving among 10th-grade students due to the variance of their mathematical self-concept. The purposive sample of this study consisted of (89) male and female students from Wadi Bani Kharous Basic Education School and Om Hakeem Basic Education School at Sultanate of Oman. The sample was divided into an experimental group, which consisted of (48) students, and the control group consisted of (41) students. The instructional materials of Polynomial and Algebraic Functions Unit and Trigonometric Functions Unit for Grade 10th were designed based on the problem-solving program. The problem-solving test and mathematical self-concept scale were developed, and both were valid and reliable. The findings showed that: there were significant statistical differences in the mathematical problem-solving test in favor of the experimental group. The findings indicated that the significant statistical differences in the mathematical problem-solving test are due to the mathematical self-concept and the absence of statistically significant differences in the mathematical problem-solving test is due to the interaction between teaching methods and mathematical self-concept in light of the findings, the study suggested some crucial recommendations including the importance of enriching mathematics curricula with mathematical problem-solving strategies and having professional development workshops to train teachers on how to use mathematical problem-solving strategies and urge them to use these strategies in teaching Mathematics
基于数学自我概念差异的十年级学生数学问题解决方案的有效性
本研究旨在探讨基于问题解决的课程对十年级学生数学自我概念差异的影响。本研究的目的样本包括来自阿曼苏丹国Wadi Bani Kharous基础教育学校和Om Hakeem基础教育学校的89名男女学生。将样本分为实验组(48人)和对照组(41人)。10年级《多项式与代数函数单元》和《三角函数单元》教材是根据问题解决方案设计的。开发了问题解决测试和数学自我概念量表,两者均有效可靠。结果表明:在数学问题解决测试中,实验组有显著的统计学差异。研究结果表明,数学问题解决测试的显著统计学差异是由于数学自我概念的影响,而数学问题解决测试的不显著统计学差异是由于教学方法与数学自我概念的相互作用。该研究提出了一些重要建议,包括用数学问题解决策略丰富数学课程的重要性,以及举办专业发展研讨会,培训教师如何使用数学问题解决策略,并敦促他们在数学教学中使用这些策略
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