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Download full textCarpenter, Thomas P.; And Others – 1994
In this paper four programs are described in which children learn multidigit number concepts and operations with understanding: (1) the Supporting Ten-Structured Thinking projects, (2) the Conceptually Based Instruction project, (3) Cognitively Guided Instruction projects, and (4) the Problem Centered Mathematics Project. The diversity in these…
Descriptors: Arithmetic, Cognitive Development, Demonstration Programs, Mathematics Instruction
Direct linkGriffin, Sharon – Early Childhood Research Quarterly, 2004
Number sense is easy to recognize but difficult to define and hence, to teach. In this article, number sense is defined in terms of the knowledge known to underline it, as identified in cognitive developmental theory and research. A preK-2 mathematics program, called Number Worlds, that was specifically developed to teach this knowledge is…
Descriptors: Mathematics Instruction, Early Childhood Education, Numeracy, Learning Theories
Peer reviewedLiebeck, Pamela – Educational Studies in Mathematics, 1990
Children's responses to an alternative model over three lessons were described and their learning assessed in a posttest. Their responses and performances were compared to that of a similar group of children learning through a conventional number line model. The two models were compared from practical and theoretical viewpoints. (Author/CW)
Descriptors: Arithmetic, Cognitive Development, Cognitive Structures, Learning Strategies
Saxe, Geoffrey B. – 1981
This brief report from the Indigenous Mathematics Project focuses on the way in which numerical reasoning is changing in the Oksapmin community of Papua New Guinea as a function of participation in new social institutions: economic exchange with currency and enrollment in school. Each of these new institutions means that arithmetic problems are…
Descriptors: Arithmetic, Cognitive Development, Cognitive Processes, Cross Cultural Studies
Peer reviewedThompson, Patrick W. – Journal for Research in Mathematics Education, 1992
Fourth grade children (n=20) were matched on a pretest and randomly assigned to either a wooden base-10 block or computerized microworld group. Instruction was designed to establish relationships between notation and meaning, extending whole number numeration to decimal numeration. Neither group changed whole-number notational methods nor had…
Descriptors: Cognitive Development, Computer Assisted Instruction, Computer Uses in Education, Decimal Fractions
Geeslin, William, Ed.; Graham, Karen, Ed. – 1992
The Proceedings of PME-XVI has been published in three volumes because of the large number of papers presented at the conference. Volume 1 contains: (1) brief reports from each of the 11 standing Working Groups on their respective roles in organizing PME-XVI; (2) brief reports from 6 Discussion Groups; and (3) 35 research reports covering authors…
Descriptors: Action Research, Affective Behavior, Algebra, Arithmetic
