Learning Mathematics from Examples and by Doing: Enhancing Learning Engagement and Self-efficacy

Yarui Zhang, Yikun Li, Ziyan Chu, Jiangjiang Pu, Lei Zhang, Tianyong Chen
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Abstract

Purpose: Numerous empirical studies have confirmed that learning from examples and by doing (LFED) can improve learning efficiency; however, its impact on learning motivation is still unclear. Therefore, this study investigated the effects of LFED on students' mathematics learning performance, academic engagement and academic self-efficacy to explore its effect on Learning motivation. Methods: In a cluster randomized controlled trial, 119 seventh-grade students were randomly assigned to either a four-month LFED group (n=59) or a conventional group (n=60). The interventional group was taught by the LFED method, and the other received a traditional teaching method. Both groups were assessed before and after the intervention to measure academic performance in mathematics, learning engagement, and academic self-efficacy. Results: Repeated-measures ANOVA showed a significant group-by-time effect for academic self-efficacy and learning behavior dimension scores; there were no significant group-by-time effects for math academic performance, learning engagement scores, and related dimension scores. Paired-sample t-tests showed no significant change in self-efficacy scores in the LFED group but a significant decrease in self-efficacy and all related dimensions scores in the conventional group. There was no change in cognitive engagement dimension scores in the LFED group but a substantial decrease in the conventional group. Conclusion: As an adaptive learning method originating from artificial intelligence, LFED had an equal impact on math academic performance as traditional teaching methods. However, LFED was feasible and effective in enhancing students’ academic self-efficacy and cognitive learning engagement.
从实例和实践中学习数学:提高学习参与度和自我效能感
目的:大量实证研究证实,从实例和实践中学习(LFED)可提高学习效率,但其对学习动机的影响仍不明确。因此,本研究调查了 "从实例做中学 "对学生数学学习成绩、学业参与度和学业自我效能感的影响,以探讨其对学习动机的影响。研究方法在分组随机对照试验中,119 名七年级学生被随机分配到为期四个月的 LFED 小组(59 人)或常规小组(60 人)。干预组采用 LFED 教学法,另一组采用传统教学法。两组学生在干预前后均接受了数学学业成绩、学习参与度和学业自我效能感的评估。结果重复测量方差分析显示,学习自我效能感和学习行为维度得分具有显著的组间时间效应;数学学习成绩、学习参与度得分和相关维度得分没有显著的组间时间效应。配对样本 t 检验显示,LFED 组的自我效能感得分没有显著变化,但传统组的自我效能感和所有相关维度得分都有显著下降。LFED 组的认知参与维度得分没有变化,但传统组的认知参与维度得分大幅下降。结论作为一种源自人工智能的自适应学习方法,LFED 对数学学习成绩的影响与传统教学方法相同。然而,LFED 在提高学生的学业自我效能感和认知学习参与度方面是可行和有效的。
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