This USMES unit challenges students to construct practical shapes which can be used as dice to make a fair decision between two or among three, four, or more choices. The teacher resource book for the Dice Design unit contains five sections. The first section describes the USMES approach to student-initiated investigations of real problems,…

Thirteen research reports related to mathematics education are abstracted and analyzed. Two of the reports deal with acquisition of number concepts; three deal with instructional techniques; and one each pertains to diagnosis, logical connectives, teacher behaviors, spatial preferences, mathematical language, formal thought, and curriculum…

This guide represents the final experimental version of an extended pilot project which was conducted in the United States between 1973 and 1976. The manner of presentation and the pedagogical ideas and tools are based on the works of Georges and Frederique Papy. They are recognized as having introduced colored arrow drawings…

This guide represents the final experimental version of an extended pilot project which was conducted in the United States between 1973 and 1976. The manner of presentation and the pedagogical ideas and tools are based on the works of Georges and Frederique Papy. They are recognized as having introduced colored arrow drawings…

Reports on a seminar conducted by the Massachusetts Institute of Technology which was designed to help teachers develop their understanding of learning and teaching arithmetic. Describes some of the sessions and the activities and includes some of the dialogue exchanged within the group during the sessions. (TW)

Reviews two software packages; "Block It, An Instructional Game" and "Conquering Whole Numbers." The first is a simulation game which uses graphic representation of base-ten blocks to reinforce place value and regrouping. The second package is designed to give students in grades three through six practice in computation. (PK)

Examines the historical development of logarithm tables. Suggests that students should write computer programs to calculate logarithms. (PK)

This article describes Widgets, computer-based learning tools designed to meet the instructional need for computer-based flexible tools that can be used across ability levels. It discusses development of three Widgets for students with mild disabilities: a multiplication with sets Widget, a number sense Widget, and a dollars and cents Widget.…

Thirty-six Korean first graders were interviewed to study their ability solving addition problems with sums of 10, single-digit sums between 10 and 18, and subtraction problems with minuends between 10 and 18. Finger methods to show sums over 10 and the regular named-10 Korean number words supported their learning of 3 efficient recomposition…

Presents two spreadsheets for middle school students applying Polya's heuristic to help develop number sense, reasoning abilities, and problem-solving skills. Spreadsheet 1, "the coin problem," allows students to vary coin quantities to total $8.32. Spreadsheet 2, "ratios," develops number relationships while finding 3 3-digit…

Presents results of 46 randomly selected children's performance measurement and partitive division problems when remainders are zero, nonzero but not used in the solution, and nonzero and used in the solution. Results indicate that children demonstrate an understanding of division prior to formal instruction. (MDH)

Presents a case study of a first-grade class and their teacher who were observed as they ascribed mathematical meanings of numbers and of numerical operations to empirical phenomena. Differences in ascriptions led to negotiation of meanings. Discusses some indirect relations between social interaction and mathematics learning. (Contains 60…

Presented is an activity that explores the relationship between the size of a rectangle and the number of squares intersected by a diagonal. Students incorporate pattern recognition and the concept of the greatest common divisor in solving the problem. A sample worksheet is provided. (MDH)

The purpose of this study is to demonstrate that dynamic assessment based instruction increases children's learning by using a quasi-experimental research design in Korea. In this study, dynamic assessment is defined as a measurement method of the zone of proximal development (ZPD) as well as the qualitative and quantitative diagnostic information…

Noting that many parents who might teach their young children are often discouraged by a lack of information or fear of being labeled "pushy," this book provides parents with a step-by-step program for teaching preschoolers letters and numbers as a way of giving children a head start on formal education. The handbook consists of a…