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Tian, Jing; Braithwaite, David W.; Siegler, Robert S. – Grantee Submission, 2020
Three rational number notations--fractions, decimals, and percentages--have existed in their modern forms for over 300 years, suggesting that each notation serves a distinct function. However, it is unclear what these functions are and how people choose which notation to use in a given situation. In the present article, we propose quantification…
Descriptors: Number Concepts, Preferences, Fractions, Arithmetic
Siegler, Robert S.; Lortie-Forgues, Hugues – Journal of Educational Psychology, 2015
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 preservice teachers (Study 1),…
Descriptors: Arithmetic, Mathematics Education, Knowledge Level, Hypothesis Testing
Fazio, Lisa K.; DeWolf, Melissa; Siegler, Robert S. – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2016
We examined, on a trial-by-trial basis, fraction magnitude comparison strategies of adults with more and less mathematical knowledge. College students with high mathematical proficiency used a large variety of strategies that were well tailored to the characteristics of the problems and that were guaranteed to yield correct performance if executed…
Descriptors: Undergraduate Students, College Mathematics, Mathematics Skills, Learning Strategies
Schneider, Michael; Siegler, Robert S. – Journal of Experimental Psychology: Human Perception and Performance, 2010
We tested whether adults can use integrated, analog, magnitude representations to compare the values of fractions. The only previous study on this question concluded that even college students cannot form such representations and instead compare fraction magnitudes by representing numerators and denominators as separate whole numbers. However,…
Descriptors: College Students, Community Colleges, Logical Thinking, Student Behavior