The effects of problem size on judgments of commutativity by 51 moderately and mildly retarded students were investigated. Results indicated that many retarded students who are given computational practice recognize the general principle that addend order does not affect the sum. (Author/DB)

Provides four pages of practice problems covering the skills of multiplication, addition, and subtraction. Follows the premise that many arithmetic operations be done in working toward a solution. The sheets could be photocopied as worksheets or handouts. (JM)

Deriving all Pythagorean triples from simple patterns within an addition table is presented, with formulas included. (MNS)

Problems based on shopping experiences are presented on two posters. Children practice estimation and computation with addition and subtraction. (MNS)

The goal was to help 7- and 8-year olds develop computational skills in addition and subtraction. Experimental groups received instruction emphasizing mathematical structure while control groups worked on drill activities. Results showed that emphasizing structure facilitated the development of number concepts, place value, and computational…

An activity is presented which uses the automobile odometer as a means of strengthening pupils' understanding of the addition algorithm with particular emphasis on the concepts of place value and renaming. Directions for three classroom games to be used as supplemental activities also are included. (DT)

In this study I examined 19 preservice secondary mathematics teachers' solution processes to word problems for which the subtraction or addition of the two given numbers yields 1 more or 1 less than the correct solution. Among the aspects of their solution processes that were examined are: the modeling strategies, the type of errors, and the…

Literature at national and international levels argues the importance of including mental computation in a mathematics curriculum that promotes number sense. However, mental computation does not feature in importance in the current Queensland mathematics syllabus documents. Hopefully, with the writing of a new mathematics syllabus, mental…

This guide contains classroom-tested problems designed to introduce and reinforce mathematical concepts in a quick, "fun" way. Activities emphasize the logic and reasoning skills needed to build a strong foundation in mathematics. The problems are thinking activities and require only elementary level mathematics skills. Activities are…

Presented is an example of how a child adopted an incorrect method for solution to arithmetic sentences. Methods for detecting and correcting this behavior are discussed. (JP)

Palindromic numbers (numerals that read the same backwards and forwards) are investigated. Examples show how palindromic sums can be obtained and a further analysis of these sums is made. (DT)

A Snip of the Scissors" describes the geometry involved in making stars by paper folding, and Checking the Calculated Average Through Subtraction" suggests practice in operations with negative numbers. (MM)

The use of pictures in the early instruction of doubles in basic addition is promoted. The process used in the Illinois University Mathematics Learning Clinic is detailed. Doubles are seen to be among the easy facts that children are capable of learning first. (MP)

Two mental algorithms, one for addition and one for subtraction, are described. It is felt such algorithms should be taught explicitly. The usual process taught for paper and pencil is seen to inhibit mental arithmetic, and a need to include mental algorithms in the regular mathematics curriculum is promoted. (MP)

A computer-generated game called Fish Chase was developed to present drill-and-practice exercises on addition facts. The subjects of the study were 19 second-grade pupils. The results indicate a computer game can be used effectively to increase proficiency with basic facts. (MP)