Modeling discrete and continuous entities with fractions and decimals.
نویسندگان
چکیده
منابع مشابه
Modeling discrete and continuous entities with fractions and decimals.
When people use mathematics to model real-life situations, their use of mathematical expressions is often mediated by semantic alignment (Bassok, Chase, & Martin, 1998): The entities in a problem situation evoke semantic relations (e.g., tulips and vases evoke the functionally asymmetric "contain" relation), which people align with analogous mathematical relations (e.g., the noncommutative divi...
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When people use mathematics to model real-life situations, their modeling is often mediated by semantic alignment (Bassok, Chase, & Martin, 1998): The entities in a problem situation evoke semantic relations (e.g., tulips and vases evoke the functionally asymmetric “contain” relation), which people align with analogous mathematical relations (e.g., the noncommutative division operation, tulips/...
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Previous work has shown that adults in the United States selectively use fractions and decimals to model discrete and continuous entities, respectively. However, it is unclear whether this apparent semantic alignment between the format of rational numbers and quantitative ontology is specific to the American education system, the English language, or measuring conventions (primarily imperial me...
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by Magne Myrtveit Normally, we try to aggregate discreteness in System Dynamics (SD) models by making continuous flows. This is a good modeling practice, but in some cases discreteness may have a significant influence on system behavior (see note). Consequently, we need to model such discreteness to explore its impact on behavior. The System Dynamics (SD) technology was originally designed with...
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Understanding fractions and decimals is difficult because whole numbers are the most frequently and earliest experienced type of number, and learners must avoid conceptualizing fractions and decimals in terms of their whole-number components (the "whole-number bias"). We explored the understanding of fractions, decimals, two-digit integers, and money in adults and 10-year-olds using two number ...
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ژورنال
عنوان ژورنال: Journal of Experimental Psychology: Applied
سال: 2015
ISSN: 1939-2192,1076-898X
DOI: 10.1037/xap0000036