Are Teachers Aware of Students' Lack of Spontaneity in Diagram Use? Suggestions from a Mathematical Model-Based Analysis of Teachers' Predictions

机译：教师是否意识到学生在使用图表时缺乏自发性？基于数学模型的教师预测分析建议

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Although many studies have shown that diagrams are effective tools for problem solving, research evidence shows that students do not always use diagrams effectively. One of the most serious problems is their lack of spontaneity in diagram use. However, no previous studies have examined whether teachers are adequately aware of this problem. In this investigation, data were gathered on students' mathematics performance (including their spontaneous use of diagrams) and teachers' predictions of the students' performance. Using a mathematical model (Uesaka & Nakagawa, 2010) to analyze the data, it was found that the parameter representing the accuracy of teachers' prediction was lower for their assessment of spontaneous diagram use compared to other mathematical tasks. This suggests that spontaneity in diagram use is an overlooked aspect in teachers' view of student performance.

机译：尽管许多研究表明图表是解决问题的有效工具，但研究证据表明，学生并不总是有效地使用图表。最严重的问题之一是它们在图表使用中缺乏自发性。但是，以前没有研究检查过教师是否充分意识到了这一问题。在这项调查中，收集了有关学生数学成绩（包括自发使用图表）和教师对学生成绩的预测的数据。使用数学模型（Uesaka＆Nakagawa，2010）分析数据，发现与其他数学任务相比，代表教师预测自发准确性的参数在评估自发图使用方面较低。这表明图表使用中的自发性是教师对学生表现的看法中被忽视的一个方面。

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《International conference on diagrammatic representation and inference》|2012年|312-314|共3页
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Yuri Uesaka; Emmanuel Manalo; Masanori Nakagawa;
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spontaneous diagram use; math problem solving; teachers' awareness; mathematical model based analysis;

机译：自发图的使用;数学问题解决;教师的意识;基于数学模型的分析;

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4. Are Teachers Aware of Students' Lack of Spontaneity in Diagram Use? Suggestions from a Mathematical Model-Based Analysis of Teachers' Predictions [C] . Yuri Uesaka, Emmanuel Manalo, Masanori Nakagawa International Conference on the Theory and Application of Diagrammatic . 2012

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Are Teachers Aware of Students' Lack of Spontaneity in Diagram Use? Suggestions from a Mathematical Model-Based Analysis of Teachers' Predictions

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