Seeing the Math in the Story

Seeing the Math in the Story
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从故事中看到数学

DOI:
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发表时间:
2014
期刊:
影响因子:
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通讯作者:
K. Fujita
K. Fujita
中科院分区:
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文献类型:
--
作者:
Dan R. Schley;K. Fujita

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与数学能力缺陷相关的负面社会,健康,财务和其他生活结果突出了理解解决数学问题所需的潜在认知操作的必要性。我们专注于数学应用题,并提出,抽象可以提高性能,帮助人们超越文字问题中描述的偶然的细节,而不是认识到潜在的数学关系。三项研究将抽象作为一种程序性思维模式(即,在一个任务中诱导抽象,并在随后的不相关任务中观察其“遗留”效应),并观察在数字和文字问题上的表现。相对于具体的思维模式,抽象思维模式的参与者更成功地将文字问题转化为类似的数字形式,从而提高了表现。我们讨论了这些研究结果的影响,了解个人和群体的差异,数学professionalism,这可能源于慢性和情境因素,并为新的干预措施的发展。
The negative social, health, financial, and other life outcomes associated with mathematical proficiency deficits highlight the need to understand the underlying cognitive operations entailed in solving math problems. We focus specifically on mathematical word problems and propose that abstraction can enhance performance by helping people see beyond the incidental details described in word problems and to recognize instead the underlying mathematical relationships. Three studies manipulated abstraction as a procedural mind-set (i.e., inducing abstraction in one task and observing its “carry-over” effect in subsequent unrelated tasks) and observed performance on both numeric and word problems. Participants in the abstract, relative to concrete, mind-set condition were more successful in translating word problems into their analogous numeric forms, resulting in improved performance. We discuss implications of these findings for understanding individual and group differences in mathematics proficiencies, which may stem from both chronic and situational factors, and for the development of novel interventions.
心理距离的解释水平理论。
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发表时间: 2010-04
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