数学解题教学中的挑战和压力

Ivana-Marija Pavković, Nikola Marangunić
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摘要

我们的研究目的是探讨教师在数学课上教授问题解决时面临哪些挑战和压力,他们主要是针对资优生还是优等生而不是班上的其他学生进行问题解决。我们通过教师在线填写的调查问卷,采用定量研究方法。我们用 Kruskal-Wallis 检验法对假设进行了检验,以确定各组教师之间的差异。结果显示,无论教师毕业于哪所大学,也无论班级平均学生人数多少,他们都认为学生和教师在解决问题时面临着同样的挑战,而且他们会尝试对班级所有学生而不仅仅是资优生实施问题解决方法。教师们表示,解决问题的教学需要大量的时间和准备,解决问题需要在课堂上花时间。这种教学本身的准备工作要求很高。对于学生面临的挑战,教师指出学生退缩快、缺乏自信、缺乏已有知识和解决问题的能力。教师很难在数学课上通过解决问题达到教学效果,但他们知道解决问题能让学生掌握更好的技能。了解教师压力的影响并减少教师在课堂上解决问题时所面临的压力因素非常重要,因为教师压力会影响学生解决问题的成功率,而学生解决问题的成功率又与学生数学学习的成功率息息相关。
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Challenges and Stress While Teaching Problem Solving in Mathematics
The purpose of our research is to examine what challenges and stressors teachers face when teaching problem solving in mathematics classes, whether they do problem solving mostly with gifted or better students than with other students in the class. We used a quantitative research method through a survey questionnaire that teachers filled out online. Hypotheses were tested with the Kruskal-Wallis’s test to determine differences between groups of teachers. The results showed that teachers, regardless of the university they graduated from and the average number of students in the class, define the same challenges that students and teachers face when solving problems, and that they try to implement problem solving with all students in the class, not only with the gifted. Teachers report that problem-solving teaching takes a lot of time and preparation, and that problem-solving take time during class. Such teaching itself is demanding in preparation. For the challenges faced by students, teachers state students' quick withdrawal, lack of self-confidence, and lack of prior knowledge and problem-solving skills. It is difficult for teachers to achieve the outcomes by solving problems in mathematics classes, but they are aware that solving problems gives students better skills. It is important to understand the impact of teacher stress and reduce the stressors that teachers face when solving problems in class, because teacher stress affects student success in problem solving, which is related to student success in mathematics.
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