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Carpenter, Thomas P. – 1979
The purpose of this paper is to identify how the theory and techniques of research in cognitive development can be applied to the study of learning and instruction in mathematics. Five basic research paradigms are characterized; major directions of research on number, measurement, geometry, and adolescent reasoning are identified. Most of the…
Descriptors: Cognitive Development, Educational Research, Elementary School Mathematics, Elementary Secondary Education
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Carpenter, 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
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Carpenter, Thomas P.; And Others – Journal for Research in Mathematics Education, 1976
This article indicates some needed research suggested from examining NAEP mathematics assessment data. (DT) Aspect of National Assessment (NAEP) dealt with in this document: Results (Interpretation).
Descriptors: Elementary School Mathematics, Elementary Secondary Education, Evaluation, Mathematics Education
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Carpenter, Thomas P.; And Others – Mathematics Teacher, 1983
Results from the third national mathematics assessment indicate that the decline in performance of 17 year olds between 1973 and 1978 has leveled out over the last four years, and 13 year olds' performance improved significantly between 1978 and 1982. However, most gains were on lower-order skills. (MNS)
Descriptors: Academic Achievement, Algebra, Computers, Educational Assessment
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Carpenter, Thomas P.; And Others – School Science and Mathematics, 1982
National assessment data on student performance in several phases of algebra are reported. It is noted that this performance has not reached the point of mastery even for most students with two years of algebra and a year of geometry. However, the data are not thought to suggest complete failure. (MP)
Descriptors: Academic Achievement, Achievement, Algebra, Educational Assessment
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Fennema, Elizabeth; Carpenter, Thomas P. – Mathematics Teacher, 1981
Data from the second mathematics assessment of the National Assessment of Educational Progress shows little difference between males and females in overall mathematics achievement at ages 9 and 13. However, at age 17, females are not achieving as well in mathematics as males. (MP)
Descriptors: Achievement, Educational Research, Evaluation, Females
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Carpenter, Thomas P.; And Others – Mathematics Teacher, 1981
Results of the second mathematics assessment of the National Assessment of Educational Progress (NAEP) are analyzed with regard to the performance of 13- and 17-year-olds on probability exercises. The results suggest that this area has been neglected in mathematics instruction. (MP)
Descriptors: Mathematical Concepts, Mathematics Curriculum, Mathematics Instruction, Probability
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Carpenter, Thomas P.; And Others – Mathematics Teacher, 1980
Student weaknesses on problem-solving portions of the NAEP mathematics assessment are discussed using Polya's heuristics as a framework. Recommendations for classroom instruction are discussed. (MP) Aspect of National Assessment (NAEP) dealt with in this document: Results (Interpretation).
Descriptors: Algorithms, Experiential Learning, Mathematical Models, Mathematics Curriculum
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Carpenter, Thomas P.; And Others – Mathematics Teacher, 1980
Data on computer literacy from the 1977-78 National Assessment of Educational Progress (NAEP) are discussed. (MP) Aspect of National Assessment (NAEP) dealt with in this document: Results (Interpretation).
Descriptors: Computer Oriented Programs, Evaluation, Mathematics Curriculum, Secondary Education
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Carpenter, Thomas P.; And Others – Mathematics Teacher, 1980
Highlights are given of the results of the second mathematics assessment of the National Assessment of Educational Progress (NAEP), for 13 and 17 year olds, in the areas of number, algebra, geometry, measurement, and other miscellaneous topics. Changes from the previous assessment and conclusions are also included. (MK) Aspect of National…
Descriptors: Academic Achievement, Educational Assessment, Mathematics Curriculum, Mathematics Education
Romberg, Thomas A., Ed.; Carpenter, Thomas P., Ed.; Dremock, Fae, Ed. – Lawrence Erlbaum Associates (Bks), 2005
The research reported in this book provides reliable evidence on and knowledge about mathematics and science instruction that emphasizes student understanding--instruction consistent with the needs of students who will be citizens in an increasingly demanding technological world. The National Center for Improving Student Learning in Mathematics…
Descriptors: Teaching Methods, Science Instruction, Mathematics Instruction, Mathematics Education