A set for relational reasoning: Facilitation of algebraic modeling by a fraction task
| Autor: | Melissa DeWolf, Keith J. Holyoak, Miriam Bassok |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Adult
Male Rational number Aptitude Experimental and Cognitive Psychology 050105 experimental psychology Task (project management) Thinking Set (abstract data type) Young Adult Simple (abstract algebra) Developmental and Educational Psychology Humans 0501 psychology and cognitive sciences Fraction (mathematics) Algebraic expression Arithmetic Child Students Problem Solving Analysis of Variance 05 social sciences Physics::Physics Education 050301 education Algebraic equation Relational calculus Female Psychology 0503 education Social psychology Mathematics |
| Zdroj: | Journal of Experimental Child Psychology. 152:351-366 |
| ISSN: | 0022-0965 |
| DOI: | 10.1016/j.jecp.2016.06.016 |
| Popis: | Recent work has identified correlations between early mastery of fractions and later math achievement, especially in algebra. However, causal connections between aspects of reasoning with fractions and improved algebra performance have yet to be established. The current study investigated whether relational reasoning with fractions facilitates subsequent algebraic reasoning using both pre-algebra students and adult college students. Participants were first given either a relational reasoning fractions task or a fraction algebra procedures control task. Then, all participants solved word problems and constructed algebraic equations in either multiplication or division format. The word problems and the equation construction tasks involved simple multiplicative comparison statements such as "There are 4 times as many students as teachers in a classroom." Performance on the algebraic equation construction task was enhanced for participants who had previously completed the relational fractions task compared with those who completed the fraction algebra procedures task. This finding suggests that relational reasoning with fractions can establish a relational set that promotes students' tendency to model relations using algebraic expressions. |
| Databáze: | OpenAIRE |
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