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…

A collection of articles from the ARITHMETIC TEACHER is presented which are about practical, classroom-tested ideas for the instruction and use of teacher-made instructional aids. These entries deal only with manipulative type aids. They have been selected for the clarity of purpose and relationship to contemporary topics in the elementary school…

This is the first workbook-text in a two-part series written for deaf students. It is remedial in nature, aimed at the secondary level, and covers addition, subtraction, multiplication, and division of whole numbers. The use of the number 10 in explaining the concepts presented is stressed throughout. For the second workbook, see SE 015 828, and…

Algorithms for the four basic operations on whole numbers are described; these algorithms provide for sequential recording of all steps in the operations. (SD)

Instructions are given for constructing and using a manipulative device which can help children to conceptualize and to comprehend the base-ten place-value system. (JT)

Examples are given of transcripts made from tape recordings of a teacher working with groups of 10-year-old children using calculators. Attention is focussed on the teacher's role in the interactions which take place. Suggestions are offered for the possibility of a structure of strategies available to a teacher. (Author/RH)

An addition "trick," an analysis of why it works, and steps in constructing other problems of the same type from the basis of a discovery learning activity for addition. (DT)

Presented are several methods of introducing nondecimal numeration systems to elementary grade students. Various activities for grouping and/or visual displays are used. Games which incorporate nondecimal grouping ideas are also presented. (JP)

The author describes various classroom activities for teaching basic number skills under the headings (1) Understanding facts, (2) Relating facts, and (3) Mastering facts. The activities are designed to involve children in the making of models of the operations of arithmetic and the interpretation of these models with number sentences. (MM)

Evidence gathered in a study of 106 students in a course in elementary school mathematics methods shows that work with a nondecimal numeration system involving entirely new number symbols and names can lead to heightened awareness and appreciation of difficulties that children might have in understanding base ten numeration. (Author/CM)

An unusual way of using the long multiplication algorithm to solve problems is presented. It is conceptually harder, since it involves negative numbers but is easier to perform once mastered, since the size of the multiplication table required is smaller than the standard one. (MP)