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)

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,…

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)

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)

Explains a new way of viewing Bayes' formula. Discusses the revision factor and its interpretation. (YP)

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.…

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)

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…

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)

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)

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…

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)

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)

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)

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)