Teacher Interventions using Guided Discovery and Mathematical Modelling in Grade 10 Financial Mathematics

George Ekol, Sarah Greenop
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Abstract

Minimal guidance or maximal independence? How can teachers achieve that complex balance when teaching mathematics? This pre-and post-test quasi-experimental research study explored the above questions in Grade 10 Financial Mathematics following guided discovery and mathematical modelling frameworks. Fifty-four (54) Grade 10 students at a Government High School in Johannesburg, South Africa, participated in the study. One group of students was taught following guided discovery and modelling learning principles and another group was taught following direct instruction. Students mean scores were compared at the end of the intervention. The main findings revealed that although the overall performance in the post-test was similar in both groups, there was a significant difference in understanding the concept of compound interest in the guided discovery learning group. The research highlights the promise of guided discovery learning and modelling approach over direct instruction, especially on supporting the understanding of difficult concepts in financial mathematics.
教师在10年级金融数学教学中运用指导性发现和数学建模的干预
最小指导还是最大独立?教师如何在数学教学中实现这种复杂的平衡?本文采用引导性发现和数学建模框架,对十年级金融数学中的上述问题进行了准实验研究。南非约翰内斯堡一所公立高中的54名10年级学生参加了这项研究。一组学生按照引导发现和建模学习原则进行教学,另一组学生按照直接指导进行教学。在干预结束时比较学生的平均分数。研究发现,尽管两组学生在后测中的总体表现相似,但引导式发现学习组在理解复利概念方面存在显著差异。该研究强调了指导性发现学习和建模方法优于直接教学的前景,特别是在支持对金融数学中困难概念的理解方面。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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