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Direct linkMix, Kelly S.; Prather, Richard W.; Smith, Linda B.; Stockton, Jerri DaSha – Child Development, 2014
This study assessed whether a sample of two hundred seven 3- to 7-year-olds could interpret multidigit numerals using simple identification and comparison tasks. Contrary to the view that young children do not understand place value, even 3-year-olds demonstrated some competence on these tasks. Ceiling was reached by first grade. When training was…
Descriptors: Young Children, Numeracy, Mathematical Concepts, Symbolic Learning
Peer reviewedHarper, Eon – International Journal of Mathematical Education in Science and Technology, 1980
There were 120 pupils in years 1 to 5 from two schools which were interviewed using specially prepared tasks to study the variety of interpretations given to letters by adolescents. Results indicate that two distinct conceptual understandings of the role played by a letter in relation to geometrical data exist in pupil's thinking. (Author/TG)
Descriptors: Algebra, Arithmetic, Concept Formation, Elementary Education
Peer reviewedKirshner, David – Journal for Research in Mathematics Education, 1989
A structured system of visual features is seen to parallel the propositional hierarchy of operations usually associated with the parsing of algebraic expressions. Women more than men were found to depend on these visual cues. Possible causes and consequences are discussed. Subjects were secondary and college students. (Author/DC)
Descriptors: Algebra, Cognitive Style, College Mathematics, Concept Formation
Peer reviewedChartres, Mike – Australian Primary Mathematics Classroom, 1996
Hypothesizes that exploring the mathematical ideas behind mathematical terms enables children to gain insight into the structure of a number system and provides a basis for powerful playing with this structure. Describes visualizing mathematical ideas for exploring aspects of mathematics. Offers rectangular numbers to link and explore structures…
Descriptors: Foreign Countries, Learning Activities, Learning Strategies, Mathematical Concepts
Lamon, Susan J. – 1990
This paper examines sixth-grade children's thinking related to solving ratio and proportion problems before these children had received any instruction in the domain. It explores unitizing and norming, one of the processes identified by both content analyses (Behr, Harel, Post, & Lesh, 1990); Harel, Behr, Post & Lesh, 1990) and research in…
Descriptors: Coding, Cognitive Development, Cognitive Processes, Computation
O'Donnell, William J.; O'Donnell, Teresa Flores – 1987
This document reports on a study into the relationships between cognitive preferences, achievement, and ethnicity of first year algebra students. The sample consisted of 175 students from two high schools in the Denver (Colorado) metropolitan area. The two schools were chosen because of the diversity of ethnic groups in the student populations.…
Descriptors: Academic Achievement, Algebra, Cognitive Structures, Cognitive Style
