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Direct linkWang, Yunqi; Siegler, Robert S. – Developmental Psychology, 2023
We examined the development of numerical magnitude representations of fractions and decimals from fourth to 12th grade. In Experiment 1, we assessed the rational number magnitude knowledge of 200 Chinese fourth, fifth, sixth, eighth, and 12th graders (92 girls and 108 boys) by presenting fraction and decimal magnitude comparison tasks as well as…
Descriptors: Elementary School Students, Secondary School Students, Grade 4, Grade 5
McMullen, Jake; Hannula-Sormunen, Minna M.; Lehtinen, Erno; Siegler, Robert S. – British Journal of Educational Psychology, 2022
Background: Adaptive expertise is a highly valued outcome of mathematics curricula. One aspect of adaptive expertise with rational numbers is adaptive rational number knowledge, which refers to the ability to integrate knowledge of numerical characteristics and relations in solving novel tasks. Even among students with strong conceptual and…
Descriptors: Elementary School Students, Middle School Students, Grade 6, Grade 7
Download full textTorbeyns, Joke; Schneider, Michael; Xin, Ziqiang; Siegler, Robert S. – Grantee Submission, 2015
Numerical understanding and arithmetic skills are easier to acquire for whole numbers than fractions. The "integrated theory of numerical development" posits that, in addition to these differences, whole numbers and fractions also have important commonalities. In both, students need to learn how to interpret number symbols in terms of…
Descriptors: Mathematical Concepts, Comprehension, Arithmetic, Numeracy
Siegler, Robert S.; Pyke, Aryn A. – Grantee Submission, 2013
We examined developmental and individual differences in 6th and 8th graders' fraction arithmetic and overall mathematics achievement and related them to differences in understanding of fraction magnitudes, whole number division, executive functioning, and metacognitive judgments within a crosssectional design. Results indicated that the difference…
Descriptors: Age Differences, Individual Development, Individual Differences, Mathematics
Siegler, Robert S.; Pyke, Aryn A. – Developmental Psychology, 2013
We examined developmental and individual differences in 6th and 8th graders' fraction arithmetic and overall mathematics achievement and related them to differences in understanding of fraction magnitudes, whole number division, executive functioning, and metacognitive judgments within a cross-sectional design. Results indicated that the…
Descriptors: Grade 6, Arithmetic, Mathematics Skills, Mathematics Instruction
