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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
Hiebert, James; Carpenter, Thomas P. – 1980
This study investigated: (1) the relationship between the development of information processing capacity and certain Piagetian logical reasoning abilities; and (2) how the development of these cognitive abilities related to acquisition of certain measurement concepts. Forty first-grade children were individually administered tests of conservation…
Descriptors: Cognitive Development, Cognitive Processes, Concept Formation, Conservation (Concept)
Peer reviewedCarpenter, Thomas P.; And Others – Arithmetic Teacher, 1975
Responses to area and preimeter questions asked of 9-, 13-, 17-year-olds and young adults in the National Assessment are summarized. Recommendations for instruction aimed at improving these results are described. (SD) Aspect of National Assessment (NAEP) dealt with in this document: Results (Interpretation).
Descriptors: Curriculum, Elementary Education, Elementary School Mathematics, Geometric Concepts
Peer reviewedCarpenter, Thomas P.; And Others – Arithmetic Teacher, 1976
The results of the National Assessment of Educational Progress concerning students' recognition of the names of solid objects are summarized. Implications for the teaching of elementary school mathematics are discussed. (SD) Aspect of National Assessment (NAEP) dealt with in this document: Results (Interpretation).
Descriptors: Curriculum, Elementary School Mathematics, Elementary Secondary Education, Geometric Concepts
Peer reviewedCarpenter, Thomas P.; Lewis, Ruth – Journal for Research in Mathematics Education, 1976
Performance of first and second graders on measurement problems indicated that they are unable to relate the measurements of objects using different units to visual comparisons of quantities. (SD)
Descriptors: Cognitive Development, Elementary Education, Elementary School Mathematics, Geometric Concepts
Peer reviewedCarpenter, Thomas P.; And Others – Arithmetic Teacher, 1976
The performance of 13 and 17-year-olds on National Assessment items involving computation with fractions is reviewed, together with findings from related research. Recommendations for improving instruction are offered. (SD) Aspect of National Assessment (NAEP) dealt with in this document: Results (Interpretation).
Descriptors: Addition, Elementary School Mathematics, Elementary Secondary Education, Fractions
Peer reviewedCarpenter, Thomas P.; And Others – Arithmetic Teacher, 1975
Results of the National Assessment of Education Progress (NAEP) related to subtraction are summarized and interpreted. Implications for instruction are discussed. (SD) Aspect of National Assessment (NAEP) dealt with in this document: Results (Interpretation).
Descriptors: Achievement, Elementary School Mathematics, Elementary Secondary Education, Instruction
Peer reviewedCarpenter, Thomas P.; And Others – Mathematics Teacher, 1975
The results of the first report on the mathematical abilities of 13 and 17 year-olds by the National Assessment of Education Progress (NAEP) are summarized and interpreted. A similar article for elementary school mathematics appears in SE 514 769. (SD) Aspect of National Assessment (NAEP) dealt with in this document: Results (Interpretation).
Descriptors: Algebra, Geometry, Mathematics Education, Measurement
Peer reviewedCarpenter, Thomas P.; And Others – Arithmetic Teacher, 1975
The results in the first report on the mathematical abilities of 9- and 13-year-old students by the National Assessment of Educational Progress are summarized and interpreted. A similar report on secondary school mathematics students appears in SE 514 760. (SD) Aspect of National Assessment (NAEP) dealt with in this document: Results…
Descriptors: Elementary Education, Elementary School Mathematics, Geometry, Mathematics Education
Peer reviewedCarpenter, Thomas P.; And Others – Arithmetic Teacher, 1975
Results of National Assessment problems on area are used to highlight the difficulties elementary students have with area and volume concepts. Recommendations for instruction include the provision for substantial practice with coverings before the introduction of computational short-cuts. (SD) Aspect of National Assessment (NAEP) dealt with in…
Descriptors: Curriculum, Elementary Education, Elementary School Mathematics, Geometric Concepts
Peer reviewedFurstenberg, Barbara; Carpenter, Thomas F. – Educational Perspectives, 1974
This article outlined the nature of the cooperation of many of Hawaii's communities and other agencies and individuals whose educational goals are similar as it applied to two programs, the Lyceum series and the Lama Ku. (Author/RK)
Descriptors: Cultural Activities, Cultural Awareness, Educational Development, Program Descriptions
Carpenter, Thomas P.; And Others – 1988
This study used knowledge derived from classroom-based research on teaching and laboratory-based research on children's learning to improve teachers' classroom instruction and students' achievement. Twenty first-grade teachers, assigned randomly to an experimental treatment, participated in a month-long workshop in which they studied findings on…
Descriptors: Addition, Elementary Education, Elementary School Mathematics, Instructional Improvement
Carpenter, Thomas P.; And Others – 1982
This material is designed to examine the research on how children acquire basic addition and subtraction concepts and skills. Two major lines of theories of the development of basic number concepts, called logical concept and quantification skill approaches, are identified. Major recurring issues in the development of early number concepts are…
Descriptors: Addition, Basic Skills, Cognitive Processes, Computation
Carpenter, Thomas P.; And Others – 1985
This study investigated children's representation of addition and subtraction problems with canonical and noncanonical number sentences, to see whether children would directly represent the structure of a problem if both types of sentences were available. Subjects were 22 first graders and 41 second graders randomly assigned either to a Canonical…
Descriptors: Addition, Educational Research, Elementary Education, Elementary School Mathematics
Carpenter, Thomas P.; And Others – 1981
This publication provides a comprehensive interpretation of the second mathematics assessment completed during the 1977-78 school year by the National Assessment of Educational Progress (NAEP). The NAEP results suggest strong implications for the mathematics curriculum of the 1980's that mathematics educators need to evaluate with care. The…
Descriptors: Academic Achievement, Achievement, Educational Assessment, Evaluation
