An algorithm is given for the addition and subtraction of fractions based on dividing the sum of diagonal numerator and denominator products by the product of the denominators. As an explanation of the teaching method, activities used in teaching are demonstrated. (MN)

Helping teachers to build a strong bridge from concrete experiences to algorithms is the focus. A detailed sequence of activities is described. (MN)

A teaching sequence provides a guide to instruction on initial concepts of fractions, equivalent fractions, and addition with fractions. (MN)

The authors attempt to determine the effects of the use of direct and "combinations of tens" methods of two column-addition, ability, and grade level as factors in column addition efficiency. (MN)

Two studies examine preschool children's knowledge of the effects of the physical processes of addition and subtraction on the relative amounts of two sets. Results indicate that most preschool children discover the nature of addition and subtraction outside of their formal education and rather than having to teach these ideas, teachers can use…

Suggestions for improving problem-solving skills of first-grade students are made after the results of five studies of addition and subtraction story problems are presented. (JT)

An approach is illustrated that introduces selected models of addition and subtraction to students who have previously learned a model for either operation. (JT)

Issues include consistent individual differences in children's strategy choices, interpretation of differences within a framework, and the relation of differences to standardized test performance. (RJC)

Presents a method using weighted averages to approximate partial sums of alternating series. Examples are included. (PK)

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)