A descriptive phase model of problem-solving processes

A descriptive phase model of problem-solving processes
复制标题

问题解决过程的描述性阶段模型

DOI:
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发表时间:
2021
期刊:
ZDM – Mathematics Education
影响因子:
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通讯作者:
C. Knipping
C. Knipping
中科院分区:
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文献类型:
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作者:
Benjamin Rott;B. Specht;C. Knipping

文献摘要

被引文献

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作为对现有规范模型的补充,本文提出了一个问题解决的描述性阶段模型。真正的、不理想的、解决问题的过程包含错误、迂回和循环,而且它们并不像标准模型中假定的那样遵循预定的顺序。为了表示和强调经验过程的非线性,描述性模型似乎是必不可少的。文献中的模型和我们的经验分析并列在一起,使我们能够生成这样一个问题解决过程的描述性模型。为了生成我们的模型,我们思考了以下问题:(1)现有的问题解决过程模型中的哪些元素可以用于描述性模型?(2)该模型是否可以用于描述和区分不同类型的过程?我们的描述性模型不仅允许一个人捕捉到真实问题解决过程的特殊顺序,而且可以通过积累的方式同时比较不同的过程。特别是,我们的模型允许区分解决问题的过程和常规过程。此外,成功和不成功的问题解决过程以及纸和铅笔环境中的过程与动态几何环境中的过程可以被表征并与我们的模型进行比较。
Complementary to existing normative models, in this paper we suggest a descriptive phase model of problem solving. Real, not ideal, problem-solving processes contain errors, detours, and cycles, and they do not follow a predetermined sequence, as is presumed in normative models. To represent and emphasize the non-linearity of empirical processes, a descriptive model seemed essential. The juxtaposition of models from the literature and our empirical analyses enabled us to generate such a descriptive model of problem-solving processes. For the generation of our model, we reflected on the following questions: (1) Which elements of existing models for problem-solving processes can be used for a descriptive model? (2) Can the model be used to describe and discriminate different types of processes? Our descriptive model allows one not only to capture the idiosyncratic sequencing of real problem-solving processes, but simultaneously to compare different processes, by means of accumulation. In particular, our model allows discrimination between problem-solving and routine processes. Also, successful and unsuccessful problem-solving processes as well as processes in paper-and-pencil versus dynamic-geometry environments can be characterised and compared with our model.