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,…

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)

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)

As momentum for change in U.S. education continues to grow, questions about the nature and goals of mathematics education take on increasing urgency. This report proposes a framework for reform of school mathematics mainly through reshaping of the mathematics curriculum. Chapters included are: (1) "A Rationale for Change," describing changing…

As part of a 3-year study of arithmetic problem-solving skills in young children, pretests were administered to 180 middle class first grade students. Following each of three instructional units, another achievement test was administered. The three first grade units corresponded to the Developing Mathematical Processes curriculum and involved…

Learning objectives and specifications are provided for use by teachers and test development specialists. Beginning with the 1985-86 school year, the Texas Educational Assessment of Minimum Skills (TEAMS) tests have been based on the objectives in this publication. For grade 9 mathematics, these objectives are: (1) identify the relationship among…

Beginning with the 1985-86 school year, the Texas Educational Assessment of Minimum Skills (TEAMS) tests have been based on the objectives provided in this publication for teachers and test development specialists. For grade 7, mathematics objectives include the ability to: (1) convert decimals or percents to equivalents; (2) add and subtract…

This learning module provides students with practice in applying mathematical operations to vocational agriculture. The module consists of unit objectives, definitions, information, problems to solve, worksheets suitable for various levels of vocational agriculture instruction, and answer keys for the problems and worksheets. This module, which…

This conference proceedings contains 135 research reports, 73 short oral reports, 30 poster session reports, 4 plenary addresses, 3 research forums, 6 project groups, and 5 discussion group reports. Only the research reports, research forums, and plenary addresses are full reports; the others are generally one-page abstracts. The first volume…

Focuses on student organization, preparation, and presentation of simple foods (beverage, brownies, sloppy-joe sandwiches) as a way to apply various mathematical concepts, with problem-solving techniques being central to almost all the activities. Includes reproducible student worksheets. (MKR)

Presents the reactions of a mathematics educator and a mathematician to a seven-year-old student's response for finding square numbers. Reflects on the mathematician's focus on the mathematics of the problem and the mathematics educator's focus on the student's systematic way of working, and discusses the common focus of student creativity. (MDH)

A collection of articles from the journals "Arithmetic Teacher" and "Teaching Children Mathematics" provide ideas for the instruction and use of teacher-made instructional aids. Guidelines used to select articles for this collection called for the articles to have a clear purpose and be related to a contemporary topic in the elementary school…

This publication compiles a series of 18 articles originally published in 1989-91 in the Arithmetic Teacher on implementing the National Council of Teachers of Mathematics (NCTM) K-8 curriculum standards. The articles and references in the bibliography are organized into five groupings: (1) "Themes That Cut Across Mathematics," covering…