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Meyer, Ruth Ann; Riley, James E. – Mathematics Teacher, 1987
Suggested are investigations of rational numbers and their decimal representations where a computer generates the data for explorations. Conjectures and two program listings are included. (MNS)
Descriptors: Computer Software, Decimal Fractions, Discovery Learning, Investigations
Halloran, Pamela – 2003
This book is a teacher's resource guide designed to help students gain the range of math skills they need to succeed in life, work, and on standardized tests; overcome math anxiety; discover math as interesting and purposeful; and develop good number sense. Topics covered in this book include whole numbers; decimals and money; fractions, ratios,…
Descriptors: Adult Education, Algebra, Arithmetic, Basic Skills
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Kimberling, Clark – Mathematics Teacher, 1983
Suggestions are given for having students write or modify computer programs for listing prime positive integers and continued fractions, to help them discover mathematical concepts. Sample programs are included. (MNS)
Descriptors: Algorithms, Computer Oriented Programs, Computer Programs, Discovery Learning
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Kader, Gary; Perry, Mike – Mathematics Teaching in the Middle School, 1997
Proposes a model that displays the five components of the statistical problem-solving process. Focuses on the collection of coins in sets by mint location and fully describes the procedures. Includes ideas for data collection and analysis. (DDR)
Descriptors: Data Analysis, Estimation (Mathematics), Fractions, Intermediate Grades
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Jarrell, Stephen – Mathematics and Computer Education, 1990
Explains a new way of viewing Bayes' formula. Discusses the revision factor and its interpretation. (YP)
Descriptors: Bayesian Statistics, College Mathematics, Computation, Decimal Fractions
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Resnick, Lauren B.; And Others – Journal for Research in Mathematics Education, 1989
Documented are major categories of errors that appear as children learn decimal fractions. Then the conceptual sources of these errors are established. Different curriculum sequences influence the probability that these classes of errors will appear. They can be used as diagnostic tools to detect children's understanding of mathematics topics.…
Descriptors: Cognitive Structures, Concept Formation, Decimal Fractions, Diagnostic Teaching
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Cramer, Kathleen A.; And Others – Journal for Research in Mathematics Education, 1989
This aptitude-treatment interaction study explored the relationship between cognitive restructuring ability and treatments varying in the amounts of teacher guidance on tasks with fractions. An interaction was found between cognitive restructuring ability and levels of teacher guidance for items having continuous perceptual distracters. (MNS)
Descriptors: Aptitude Treatment Interaction, Cognitive Structures, Concept Formation, Elementary Education
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Hofmeister, Alan M.; And Others – Teaching Exceptional Children, 1989
Presented is an introduction to laser videodisc technology, covering both hardware and courseware considerations and technological applications to special education. Described is the application of videodisc courseware to the teaching of fractions, and results of a successful program to teach fractions to eight mainstreamed students with learning…
Descriptors: Arithmetic, Disabilities, Elementary Education, Fractions
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Lehman, Jeffrey R.; Kandl, Thomas M. – School Science and Mathematics, 1995
Presents an activity to integrate mathematics, science, and technology by using a computer spreadsheet to examine relationships between data collected about popcorn. (11 references) (Author/MKR)
Descriptors: Data Analysis, Fractions, Integrated Activities, Intermediate Grades
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Cramer, Kathleen; Bezuk, Nadine – Arithmetic Teacher, 1991
Applies the Lesh Translation Model to develop conceptual understanding by showing relationships between five modes of representation proposed by Lesh to learn multiplication of fractions. Presents five teaching activities based on the translation model. (MDH)
Descriptors: Cognitive Development, Concept Formation, Elementary Education, Fractions
Peck, Donald M.; Connell, Michael L. – Focus on Learning Problems in Mathematics, 1991
This paper describes student performance and beliefs regarding fractions resulting from a five-phase approach toward developing mathematical intuition via physical materials. Interviews with students using this approach and with students using a conventional textbook approach indicated significant differences in problem-solving abilities and…
Descriptors: Cognitive Processes, Concept Formation, Discovery Learning, Elementary Education
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Keating, Daniel P.; Crane, Lynda L. – Merrill-Palmer Quarterly, 1990
Argues that the dichotomy between domain-specific and general theories of cognitive development addressed in the "Merrill-Palmer Quarterly" special issue is unproductive. Suggests that polarities of generality and specificity exist in creative tension as seen through developmental processes. (Author/BB)
Descriptors: Case Studies, Cognitive Development, Cognitive Processes, Cognitive Structures
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Van Engen, H. – Arithmetic Teacher, 1993
This is a reprint of an address given at the Christmas National Council of Teachers of Mathematics (NCTM) meeting in 1958. It provides a critique of elementary instruction and discusses the changes necessary. It calls for fundamental change in the concept of mathematics teaching. (PDD)
Descriptors: Arithmetic, Drills (Practice), Elementary Education, Elementary School Mathematics
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Davis, Gary; And Others – Journal of Mathematical Behavior, 1993
A theoretical discussion of categorization, unit structures and structured units, and fractions as operators was introduced. The thinking of grade-three students (n=3) with regard to the meaning of fractions was investigated in two teaching episodes using the computer environments of SuperPaint and CopyCat. (Contains 14 references.) (MKR)
Descriptors: Classification, Computer Simulation, Concept Formation, Elementary Education
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Bockarie, Alex – School Science and Mathematics, 1993
Mathematics that exists in the Mende culture, an African tribe in Sierra Leone, includes counting, computation, ratios, fractions, forecasting games, and mathematical applications. Presents The Mende representations of these concepts and discusses implications of their integration into mathematics teaching. (MDH)
Descriptors: African Culture, Computation, Cultural Context, Elementary Education
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