This compilation is drawn from the IDEAS section that has been a feature of the "Arithmetic Teacher" since 1971. The contents are arranged in the following categories: Computation, Fractions and Decimals, Developing Number Patterns, Using Flowcharts, Problem Solving, Geometry, and Metric Measure. All selections are reprinted just as they…

This paper reports on a teaching experiment involving decimal instruction conducted with a class of elementary students (n=20) in a public school of a small city. After doing extensive work with multiplication, division, ratio, and fractions through an innovative mathematics curriculum, fifth grade students were introduced to decimal numbers. To…

This case study was carried out with a student who was 9 years old and in the fourth grade when the study began. She was selected after the administration of an exploratory questionnaire to 66 pupils in primary school. The main features of the case were the absence of a common referent and a corresponding unit to the free generation of references…

Developed by the Initial Learning in Mainstreaming Project, the manual presents an instructional program to teach mainstreamed handicapped elementary school students the principle of least common denominators in working with fractions. In addition to detailed teaching instructions, the manual includes tests, worksheets, and pages to be made into…

This is part two of a two-part SMSG mathematics text for junior high school students. Key ideas emphasized are structure of arithmetic from an algebraic viewpoint, the real number system as a progressing development, and metric and non-metric relations in geometry. Chapter topics include the rational number system; parallels, parallelograms,…

THIS BOOKLET, ONE OF A SERIES, HAS BEEN DEVELOPED FOR THE PROJECT, A PROGRAM FOR MATHEMATICALLY UNDERDEVELOPED PUPILS. A PROJECT TEAM, INCLUDING INSERVICE TEACHERS, IS BEING USED TO WRITE AND DEVELOP THE MATERIALS FOR THIS PROGRAM. THE MATERIALS DEVELOPED IN THIS BOOKLET INCLUDE (1) NUMBER RELATIONSHIPS, (2) EQUIVALENT FRACTIONS, (3) ADDITION AND…

A 20-task learning hierarchy for subtraction of fractions was deductively derived using Gagne's task analysis. To test this analysis empirically, composite items were written for each level and administered to students in grades 3-6. Test results were analyzed by the Walbesser Technique and Pattern Analysis; the acceptance levels developed by…

This teacher guide is part of the materials prepared for an individualized program for ninth-grade algebra and basic mathematics students. Materials written for the program are to be used with audiovisual lessons recorded on tape cassettes. For an evaluation of the program see ED 086 545. In this guide, the teacher is provided with objectives for…

One chapter of the fifth unit in this SMSG series for the general mathematics student covers the topics of writing equations, solving linear equations, using graphs to solve equations, inequalities, and solving inequalities. The second chapter discusses ratios and percents, decimal notation, decimal representation for rational numbers, rounding…

Designed for the student who has acquired basic computational skills with non-negative rational numbers, this guidebook on minimum course content seeks further development of computational skills with fractions. General goals and performance objectives, a course outline, teaching strategies, sample test items, and a list of six references are…

This book is an extension of the 1966 film/text series (ED 018 276) from the National Council of Teachers of Mathematics and was written to accompany 12 new teacher-education films. It is strong enough, however, to also serve alone as a text for elementary school teachers for the study of rational numbers. The 12 chapters corresponsing to the…

The early use of the distributive law can aid students in learning addition of fractions and provide rapid approaches to computation involving other operations. (SD)

This method of teaching the division of fractions emphasizes the use of concrete materials and helps students understand what division of fractions means. (MP)

This discussion of the mathematical potential of classroom events gives many examples of incidents that can be used for learning about topics such as one-to-one correspondence, counting, sets, ordering, time, fractions, money, shape, estimation, measuring, volume, area, number operations, and graphs. (MP)

Math can be basic and motivational at the same time. Help your students discover numbers and enjoy them. (Editor)