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…

This study explored the effects of visual (vertical and horizontal) and oral presentation modes upon simple mathematical computations (addition, subtraction, and multiplication). Seventy-two undergraduate education majors were employed as subjects. The placement of the process sign (left, middle, right) and whether a one or two digit number…

The author attempts to obtain some new evidence on simple addition processes in adults in order to evaluate the two additon models offered by Groen and Parkman (1972); a simple counting model and a more complex retrieval model, involving direct access and counting. (Author/RK)

Available from: Journal for Special Educators of the Mentally Retarded, 179 Sierra Vista Lane, Valley Cottage, New York 10989. Methods of teaching addition and number concepts to educable mentally retarded students through concrete objects, memory exercises, and clock arithmetic are discussed. (CL)

This paper describes the Rational Number Project (RNP), teaching experiments concerned with the teaching and learning of fractions among 4th and 5th grade students. Interviews with 4th grade students who used the RNP curriculum and with students who used a traditional curriculum were conducted by RNP staff as well as classroom teachers. This paper…

This package features videotapes and a study guide that are designed to help teachers revisit the operations of addition and subtraction and consider how students can develop meaningful approaches to these operations. The study guides' sessions are on addition, subtraction, the teacher's role, and goals for students and teachers. The readings in…

Article is a demonstration lesson in elementary school mathematics that concentrates on mathematical patterns. (GB)

Using error analysis and individual interviews, the problem-solving actions of first and second graders were analyzed. Shortcomings of children's knowledge and solution strategies were seen to be overcome by instruction. A control group, with usual arithmetic instruction, and an experimental group were established and the hypothesized…

The article presents two teaching strategies for use with elementary age educable mentally retarded students. The first introduces the concept of the equivalence of a nickel and five pennies in terms of buying power. The second strategy involves teaching students the skill of adding various combinations of nickels and pennies. (PHR)

Fourth graders' (n=117) solutions to addition problems were analyzed in terms of standard or idiosyncratic written algorithms. Students had not previously been taught pencil-and-paper algorithms. Preference for horizontal layout, working from left to right, and a wide variety of written algorithms were found. (Contains 48 references.) (Author/MKR)

Assesses the competence of children (N=215) between the ages of 5 and 9 at addition by asking them to estimate the answers to addition sums. Reports that children at higher levels tend to produce more reasonable estimates than children at lower levels. Discusses the existence and nature of a zone of partial knowledge and understanding. Contains 31…

Presents a first-semester course in mathematics for 6-year-old children by formulating certain general requirements for the curriculum and the instructional methods with the aim of leading children to form their initial mathematical concepts. (ASK)

A longitudinal study investigated children's ability to infer, from initial and final relative numerosity information, which of four transformations of a stimulus array had occurred: addition, subtraction, expansion, or contraction. It was expected that performance would reflect a sequence of three levels in understanding the effects of addition…