The Development of Unitizing: Its Role in Children's Partitioning Strategies.
@article{Lamon1996TheDO, title={The Development of Unitizing: Its Role in Children's Partitioning Strategies.}, author={Susan J. Lamon}, journal={Journal for Research in Mathematics Education}, year={1996}, volume={27}, pages={170-193} }
The goal of this study was to gain a better understanding of the intuitive activity that precedes the construction of quantity, in particular, to make inferences concerning developmental trends and needs in children's unitizing processes. Using a cross-sectional design, the study analyzed the partitioning strategies of 346 children from grades four through eight in terms of a framework that translated economy in the number or size of pieces and the use of perceptual cues into sophistication in…
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References
SHOWING 1-10 OF 28 REFERENCES
PARTITIONING: THE EMERGENCE OF RATIONAL NUMBER IDEAS IN YOUNG CHILDREN
- Psychology
- 1983
The study sought to trace the emergence and differentiation of partitioning as a process that leads young children to construct ideas of rational numbers. The method involved clinical sessions with…
Ratio and Proportion: Connecting Content and Children's Thinking.
- Education
- 1993
Twenty-four sixth-grade children participated in clinical interviews on ratio and proportion before they had received any instruction in the domain. A framework involving problems of four semantic…
ALAN: A CASE STUDY OF KNOWLEDGE OF UNITS AND PERFORMANCE WITH FRACTIONS
- Mathematics
- 1983
involving units of different sizes in interpreting fractions. His solutions to equivalence problems, produced using inappropriate figure-based algorithms, were unsupported by any coherent method of…
The Acquisition of Addition and Subtraction Concepts in Grades One through Three.
- Psychology
- 1984
Children's solutions to simple addition and subtraction word problems were studied in a 3-year longitudinal study that followed 88 children from Grades 1 through 3. The children were able to solve…
Classes and collections: Conceptual organization and numerical abilities
- PsychologyCognitive Psychology
- 1979
Principles of Organization in Young Children's Natural Language Hierarchies.
- Psychology, Education
- 1982
CALLANAN, MAUREEN A., and MARKMAN, ELLEN M. Principles of Organization in Young Children's Natural Language Hierarchies. CmLD DEVELOPMENT, 1982, 53, 1093-1101. When children think of objects as…
Construction of Arithmetical Meanings and Strategies
- Business
- 1987
The construction of Verbal Unit Items and Lexical and Syntactical Meanings in Children's Counting and the Reorganization of Counting.
Rational numbers : an integration of research
- Education
- 1993
Contents: Part I:Overview. T.P. Carpenter, E. Fennema, T.A. Romberg, Toward A Unified Discipline of Scientific Inquiry. Part II:Content Analyses of Rational Numbers. M.J. Behr, G. Harel, T. Post, R.…
The Psychology of the Child
- Psychology
- 1969
* Introduction The Sensori-Motor Level * Sensori-motor Intelligence * The Construction of Reality * The Cognitive Aspect of Sensori-motor Reactions * The Affective Aspect of Sensori-motor Reactions…
Fractions in Realistic Mathematics Education: A Paradigm of Developmental Research
- Business
- 1991
Theoretical review of the fraction course in theory and practice, or student contributions to education, and internal evaluation of the learning process: a difference in effects.