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Romberg, Thomas A.; Wilson, James W. – Journal for Research in Mathematics Education, 1973
Self-instructional booklets containing the advance organizer, cognitive set, and post organizer varying according to experimental treatment were randomly assigned within nine Algebra 2 classes. Results showed a significant interaction between advance and post organizers: either one used separately facilitated learning and retention, but when used…
Descriptors: Instruction, Learning, Learning Theories, Mathematics Education

Dossey, John A.; Henderson, Kenneth B. – Journal for Research in Mathematics Education, 1974
Programed units of instruction designed with four different sequences of characterizations and exemplifications of disjunctive concepts were given to preservice elementary school teachers. Students were tested on three levels of concept attainment, with differences between strategies resulting, as one moves through the levels of cognitive…
Descriptors: Concept Formation, Concept Teaching, Instruction, Learning Theories

Hirschbuhl, John J. – Journal for Research in Mathematics Education, 1973
Descriptors: Curriculum, Elementary School Mathematics, Instruction, Instructional Materials

Kulm, Gerald; And Others – Journal for Research in Mathematics Education, 1974
Grade nine students (n=116) were assigned to five different algebra word problem test versions: textbook, student, pictorial, textbook plus pictorial, and student plus pictorial versions. Analysis by IQ levels yielded results different from those obtained in previous studies. (JP)
Descriptors: Ability, Algebra, Diagrams, Instruction

Kulm, Gerald – Journal for Research in Mathematics Education, 1973
This critique points out some possible limitations of a previously reported study on the relative efficacy of two feedback modes during CAI instruction. Researchers are cautioned about using results to suggest classroom instructional practices. See also SE 508 622. (LS)
Descriptors: Computer Assisted Instruction, Instruction, Learning Theories, Mathematics Education

Keats, John B. – Journal for Research in Mathematics Education, 1973
The author answers the questions posed in a critique of his previously published study on the relative efficacy of two feedback modes during CAI instruction. Details which were originally omitted due to lack of space are provided for further clarification. See also SE 508 621. (LS)
Descriptors: Computer Assisted Instruction, Instruction, Learning Theories, Mathematics Education

Farris, Dan C. – Journal for Research in Mathematics Education, 1973
Descriptors: Elementary School Mathematics, Instruction, Instructional Materials, Learning Modalities

Hopkins, Layne V. – Journal for Research in Mathematics Education, 1973
Descriptors: Curriculum, Elementary School Mathematics, Instruction, Learning Theories

Klein, Paul A. – Journal for Research in Mathematics Education, 1973
Descriptors: Curriculum, Elementary School Mathematics, Instruction, Instructional Materials

Peterson, John C.; And Others – Journal for Research in Mathematics Education, 1973
Self-instructional booklets varying advance organizers, post organizers, and knowledge of behavioral objectives according to experimental treatment were used with 348 eighth graders and 259 preservice elementary education students. A significant interaction between the advance and the post organizers was found on one learning test. Students scored…
Descriptors: Behavioral Objectives, Instruction, Learning, Learning Theories

Bowers, Robert Garth – Journal for Research in Mathematics Education, 1973
Descriptors: Curriculum, Geometric Concepts, Instruction, Instructional Materials

Hostetler, Robert P. – Journal for Research in Mathematics Education, 1973
Descriptors: Algorithms, Curriculum, Elementary School Mathematics, Instruction

Wachsmuth, Ipke – Journal for Research in Mathematics Education, 1983
This critique discusses Gagne's position that students should understand how to mathematize a concrete situation and validate a solution but need not understand how a solution is derived. Reconciling his views with those of mathematics educators and raising questions are both included. (MNS)
Descriptors: Cognitive Processes, Computation, Educational Theories, Instruction

Gage, Robert M. – Journal for Research in Mathematics Education, 1983
Gagne's reply to critiques by Wachsmuth and by Steffe and Blake notes that their approaches are from different points of view. He urges that mathematics educators examine critically the view that understanding involves some aspects of the structure of mathematics. (MNS)
Descriptors: Cognitive Processes, Computation, Educational Theories, Instruction

Ballew, Hunter; Cunningham, James W. – Journal for Research in Mathematics Education, 1982
Research was viewed as needed to establish a classification scheme for the major areas of difficulties individual students have in solving word problems. The results suggest that inability to read problems is a major obstacle for sixth graders, and mastery of components of problem solving ensures process mastery. (MP)
Descriptors: Educational Research, Elementary Education, Elementary School Mathematics, Grade 6
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