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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
Validating Learning Hierarchies for Sequencing Mathematical Tasks in Elementary School Mathematics
Peer reviewed Peer reviewed
Phillips, E. Ray; Kane, Robert B. – Journal for Research in Mathematics Education, 1973
Seven forms of a programmed booklet based on an eleven-level hierarchy for addition of fractions were developed. One hundred forty-two fourth graders were randomly assigned to treatments; achievement, transfer, retention, and time were compared. No treatment was consistently superior, but developing sequences from hierarchies validated by test…
Descriptors: Elementary School Mathematics, Fractions, Learning Theories, Mathematics Education
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