This book is designed to introduce and provide motivational practice on basic multiplication facts for students in grades 2-6. The facts are presented in order from 0 through 12, with activities designed to review previously presented facts at three points. A test is provided. Searches, magic squares, mazes, and puzzles are among the activities…

Presented are worksheets to introduce and provide practice on division facts with divisors of 2 through 10 for students in grades 3-6. Magic squares, searches, codes, and other puzzles are included in addition to more traditional activities. A test is included. (MNS)

An algorithm is first defined by an example of making pancakes and then through discussion of how computers operate. The understanding that human beings bring to a task is contrasted with this algorithmic processing. In the second section, the question of understanding is related to learning algorithmic performance, with counting used as the…

This document contains 15 research papers presented at the Fourth and Fifth Annual Conferences of the Research Council for Diagnostic and Prescriptive Mathematics. The papers are organized into four sections. In part I, four position papers by Romberg, Engelhardt, Ashlock, and Heddens reflect research ideas which underlie the Council. Part II…

This paper presents an overview of the Comprehensive School Mathematics Program (CSMP) elementary school mathematics curriculum. The philosophy behind the program, content goals, and teaching strategies are briefly discussed. Then ways in which the program develops facility in mathematics are described in discussions of the language of arrows, in…

This overview of a specific spreadsheet, Microsoft's Multiplan for the Apple Macintosh microcomputer, emphasizes specific features that are important to the academic community, including the mathematical functions of algebra, trigonometry, and statistical analysis. Additional features are summarized, including data formats for both numerical and…

Preliminary results compared computer assisted methods versus traditional mathematics processes to determine the nutrient content of foods for a dietary evaluation study. Objectives were to compare the two methods with regard to (1) computation time spent by students and staff, (2) accuracy, and (3) cost. The need for more sophisticated methods…

Activities for reinforcement of whole number operations are provided through games that present strategic situations for children to use their computation skills. (JP)

This textbook is designed to teach the principles of Arithmetical Science as far as they are involved in the elementary processes, and to secure a reasonable degree of accuracy and rapidity in expressing numbers and computing results. This work presents at first the idea of numbers connected with visual representations of objects; afterward, when…

The purpose of this study was to ascertain whether children in grade 3 who differ in cognitive processing capacity add and subtract differently. The researchers drew upon information from three sources: individual results from a battery of 14 tests, an objective-referenced achievement test measuring a variety of arithmetic skills related to…

Presented are twenty essays related to applications in school mathematics and aimed at the classroom teacher. The essays use numerous examples and illustrations that provide the teacher with something tangible for immediate use. Four thematic areas are addressed: (1) What are applications?; (2) Why include applications in school mathematics?; (3)…

An activity for secondary schools is presented and discussed which may be explored with a programmable calculator. The activity is non-standard and could not be easily explored without the use of a programmable calculator. Related activities are also discussed. Flow charts and programs for different programmable calculators are presented. (MP)

Progress that has been made in teaching estimation is reviewed. The paper shows that although little has been done in research and development, there is a great deal of interest in developing estimation as a primary skill in school mathematics. It suggests that it is feasible to design instruction sequences in computation, measurement, and problem…

This is one of a series that is a collection of translations from the extensive Soviet literature of the past 25 years on research in the psychology of mathematics instruction. It also includes works on methods of teaching mathematics directly influenced by the psychological research. Selected papers and books considered to be of value to the…