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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
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
Learning Hierarchies--Numerical Considerations
Peer reviewed Peer reviewed
Eisenberg, Theodore A.; Walbesser, Henry H. – Journal for Research in Mathematics Education, 1971
The article presents numerical procedures for the validation and comparison of hierarchically organized curricula. Examples of specific hypotheses one should test, and calculations of five statistics for testing these hypotheses are given (consistency ratio, adequacy ratio, inverse consistency ratio, inverse adequacy ratio, and completeness…
Descriptors: Behavioral Objectives, Curriculum, Evaluation Methods, Learning Processes
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