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Toward a Theory of Sequencing: An Integrated Program of Research. The Theoretical Model and a Synopsis of the First Two Years of the Research Program
Peer reviewed Peer reviewed
Heimer, Ralph T.; Lottes, John J. – Journal for Research in Mathematics Education, 1973
A method of organizing studies on sequencing problems in mathematics according to a theoretical model based on characteristics of empirical science is explained. The conceptual framework underlying eight studies that follow this article in JRME (SE 508 022 through SE 508 029) is discussed and a brief overview of each study is given. (DT)
Descriptors: Curriculum, Instruction, Mathematics Education, Models
The Relative Effectiveness of Two Different Instructional Sequences Designed to Teach the Addition and Subtraction Algorithms
Peer reviewed Peer reviewed
Wiles, Clyde A.; And Others – Journal for Research in Mathematics Education, 1973
Second-grade students were randomly assigned to either an instructional unit within which addition and subtraction of two digit numbers were treated as a single integrated process of regrouping or one which developed the addition and subtractive algorithms sequentially. Periodic assessments favored the sequential approach, but differences were not…
Descriptors: Addition, Algorithms, Elementary School Mathematics, Instruction
Study 3-2: An Exploration of Transitivities Formulated From a Set of Piagetian-Derived Operations and Their Implications in Traversing Learning Hierarchies
Peer reviewed Peer reviewed
Hopkins, Layne V. – Journal for Research in Mathematics Education, 1973
Descriptors: Curriculum, Elementary School Mathematics, Instruction, Learning Theories
Study 2-1: An Exploration of the Effect of Selected Sequence Variables on Student Choice in the Use of Algorithms
Peer reviewed Peer reviewed
Hostetler, Robert P. – Journal for Research in Mathematics Education, 1973
Descriptors: Algorithms, Curriculum, Elementary School Mathematics, Instruction
An Analysis of the Fraction Concept into a Hierarchy of Selected Subconcepts and the Testing of the Hierarchical Dependencies
Peer reviewed Peer reviewed
Novillis, Carol F. – Journal for Research in Mathematics Education, 1976
The fraction concept was analyzed to yield 16 subconcepts which are hypothesized to be hierarchically ordered. This ordering was tested using subjects in grades 4 through 6, and 18 of 23 dependencies hypothesized were confirmed. (SD)
Descriptors: Concept Formation, Elementary Education, Elementary School Mathematics, Fractions