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…

Two simple quantitative models were derived from a series of experiments which explored the role of information storage in working memory when performing mental arithmetic. The decay model is a tractable analysis of a complex task which assumes a decay process in working storage. Similar analyses are recommended for problem solving activities…

Assumptions frequently made about learning disabled children are discussed, with many teaching suggestions provided. (MN)

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)

A unique magic hexagon, which can be used to help improve students' computational skills, is presented. (JT)

Second and third graders from six Dutch elementary schools (N = 168) solved two sets of almost identical addition and subtraction sums at a two-week interval. Inconsistency in strategies, which characterized half the subjects, was related to unfamiliar sums and resulted in misinterpreted errors. (TJH)

Data were collected in the problem representations and solution strategies of 30 first graders who were given a series of simple addition and subtraction word problems. The children were interviewed three times during the school year. The influence of problem structure on children's solution strategies appears more extensive and decisive than that…

Described is a procedure for teaching children to learn to count on with finger patterns after they have learned to count with objects. The technique has been found to be successful with children of all ability levels at grades one and two. (RH)

Direct instruction techniques were employed in a structured parental involvement program targeted toward improvement of basic arithmetic skills in six students ages 7-8. Among reported results was a statistically significant posttest improvement on an addition placement test compared to a control group performance without parental involvement. (JW)

Kindergartners appeared to differ in their readiness to use a concrete counting strategy for addition. Many persisted in counting with objects. Mental counting strategies were sequenced. (MNS)

Provides domino geometry problems, problems with arithmetic progressions, and magic pentagram sums. (JM)

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)

A hierarchy for rational number addition was constructed using intraconcept analysis. A test to assess mastery at each of 45 levels was administered to 200 elementary students representing a wide range of achievement and ability levels. Implications of the results for development of optimal instructional sequences are discussed. (Author/DT)

This paper discusses an approach to the study of algorithms which values students' construction of nonstandard algorithms but also emphasizes the essential roles of the teacher and instructional activities in supporting the development of students' numerical reasoning. Episodes are presented from a 3rd grade classroom in which a 9-week teaching…

Four ideas are presented, each a variation of the tic-tac-toe game. Recognizing three addends is the goal of the primary level game; experiences with basic facts and fractions are objectives for upper levels. Each worksheet includes objectives, directions, and comments. (LS)