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Download full textWeber, William B., Jr. – 1996
A major goal of instruction is for students to develop competence with numbers. This study attempts to determine the effect of instructional materials that develop number concepts and connect these concepts to mental computation procedures. The study used 16 classes of eighth-grade students and a pretest-posttest design with two treatment groups.…
Descriptors: Computation, Concept Formation, Grade 8, Interviews
Heirdsfield, Ann M. – International Group for the Psychology of Mathematics Education, 2003
The focus of this study was to investigate mental computation conceptual frameworks that Heirdsfield (2001c) formulated to explain the difference between proficient (accurate and flexible) mental computers and accurate (but not flexible) mental computers. A further aim was to explore the potential for students' developing efficient mental…
Descriptors: Mental Computation, Mathematical Logic, Mathematics Instruction, Cognitive Processes
Ashcraft, Mark H.; And Others – 1981
Students in grades 1, 3, 4, 5, 6, and college were timed as they produced the answers to simple addition problems or verified a given problem as true or false. First graders clearly relied on a counting process for their performance, as advanced by the Groen and Parkman "min" (for minimum addend) model. Third grade appears to be a…
Descriptors: Addition, Arithmetic, Cognitive Development, Cognitive Processes
Stacey, Kaye; Groves, Susie – 1994
The Calculators in Primary Mathematics Project was a long-term investigation into the effects of the introduction of calculators on the learning and teaching of primary mathematics. The Australian project commenced with children who were in kindergarten and grade 1 in 1990, moving up through the schools to grade 4 level by 1993. Children were…
Descriptors: Arithmetic, Calculators, Elementary Education, Elementary School Students
Peer reviewedLave, Jean – Anthropology and Education Quarterly, 1985
Introduces a collection of papers presented at a symposium on the situationally-specific character of problem-solving practices. Reports that findings provoke speculation about relations among social contexts, knowledge and activity, and relations between school-learned problem-solving techniques and those used in other settings. (KH)
Descriptors: Arithmetic, Cognitive Style, Computation, Context Effect
Schmidt, Hans-Jurgen – 1992
The purpose of this descriptive study was to create and test questions on stoichiometry with number ratios for quick mental calculations and to identify students' problem-solving strategies. The present study was a component of a more comprehensive investigation in which 7,441 German senior high school students were asked to work on 154 test items…
Descriptors: Chemistry, Cognitive Style, Computation, Concept Formation
