Conceptual knowledge of fraction arithmetic.
نویسندگان
چکیده
منابع مشابه
Conceptual Knowledge of Fraction Arithmetic
Understanding an arithmetic operation implies, at minimum, knowing the direction of effects that the operation produces. However, many children and adults, even those who execute arithmetic procedures correctly, may lack this knowledge on some operations and types of numbers. To test this hypothesis, we presented pre-service teachers (Study 1), middle school students (Study 2), and math and sci...
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Many children fail to master fraction arithmetic even after years of instruction, a failure that hinders their learning of more advanced mathematics as well as their occupational success. To test hypotheses about why children have so many difficulties in this area, we created a computational model of fraction arithmetic learning and presented it with the problems from a widely used textbook ser...
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Learning about fractions is a critical step on the path to high school mathematics, yet many children never master basic knowledge such as fraction arithmetic procedures. To better understand these difficulties, the present study describes a computational model of fraction arithmetic problem solving. The model demonstrates that the majority of empirically observed errors over all four arithmeti...
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We present the case of a young, highly educated patient who showed severe problems in basic arithmetic after a bone marrow transplant followed by extensive irradiation and chemotherapy. Despite his inability to resolve arithmetical fact problems (as 2 + 3), he showed intact processing of algebraic expressions and excellent understanding of complex arithmetic text problems. He perfectly knew ari...
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Research on language processing has shown that the disruption of conceptual integration gives rise to specific patterns of event-related brain potentials (ERPs)-N400 and P600 effects. Here, we report similar ERP effects when adults performed cross-domain conceptual integration of analogous semantic and mathematical relations. In a problem-solving task, when participants generated labeled answer...
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ژورنال
عنوان ژورنال: Journal of Educational Psychology
سال: 2015
ISSN: 1939-2176,0022-0663
DOI: 10.1037/edu0000025