Report provides new data concerning children's accuracy as measured by previous studies and clarifies progress of first graders during entire year on difficult single-digit addition and subtraction problems. Discussion focuses on advantages of an adding on interpretation of subtraction and the importance of emphasizing conceptual understanding…

Presents a method for demonstrating addition and subtraction of integers on the number line in a way that distinguishes between subtraction and negative numbers. The model depicts the sign of the number by forward or backward movement on the number line. Subtraction is illustrated by a turning around movement. (MDH)

This experimental study compared the use of Belcastro rods with the use of traditional methods in teaching addition and subtraction of whole numbers to five blind students. Results showed a significant difference favoring the use of Belcastro rods. (Contains 30 references.) (MKR)

This article discusses an approach designed for mathematics educators. Maria Montessori intended this knowledge to be shared with other teachers, increasing the Montessori community's understanding of children's thinking. A group of Montessorians has even tried to formalize this process with a program called Teachers' Research Network. Similarly,…

This guide contains six sections which offer suggested sequential steps for teaching addition, subtraction, multiplication, division, fraction concepts and algorithms, and decimal fractions. Based on the manipulative approach, the guide offers activities and teaching methods which give students many opportunities to work with models. This approach…

Findings from five related studies carried out in Tasmania, Australia in 1979-80 are summarized. The first study attempted to determine the memory capacity of a cross-sectional population of children aged 4-7, while the second study was designed to portray differences on a variety of mathematically related developmental tasks for the same…

This paper presents an examination of the construction of logic in multidigit subtraction. Interviews were conducted with 90 grade 2 and grade 3 students to determine whether they understood the logic of borrowing and whether the construction of the logic was related to procedural expertise or corresponding conceptual knowledge. Of 34 students…

This experiment tested the hypothesis that the sequence of ability and effort attributional feedback influences children's attributions, self-efficacy, and skillful performance. Children deficient in subtraction skills received training on subtraction operations and solved problems over four sessions. During the problem solving, some children…

This teacher resource material was written from the perspective that it is possible to improve number fact learning in the primary grades, and in remedial situations beyond those years, in ways that: (1) will help children learn all facts; (2) will emphasize the process as well as the answer; and (3) by capitalizing upon natural extensions of…

Recent research on solving addition and subtraction word problems has resulted in the construction of theoretical models of children's problem-solving processes. Some of these models have been translated into computer programs. Characteristics and predictions of the theoretical analysis developed by Riley, Greeno, and Heller (1983) are discussed…

These are some of the individual materials needed by students using the Comprehensive School Mathematics Program's Mathematics for the Upper Primary Grades, Part III. The book of "Worksheets" contains materials that are labeled with the same letter and number as the lessons with which they are to be used. The booklets "Festival of…

TO DETERMINE THE EFFECT OF INSTRUCTIONAL APPROACHES FOR SUBTRACTION AND/OR TIME OF SYMBOLIZATION UPON (1) ACHIEVEMENT IN ARITHMETIC, (2) ATTAINMENT OF NUMBER CONCEPTS, (3) ATTITUDES TOWARD ARITHMETIC IN GRADES ONE AND TWO, THIS REPORT ASSESSES FOUR EXPERIMENTAL CLASSES, THERE WERE TWO FIRST GRADE CLASSES OF 20 PUPILS EACH AND TWO SECOND GRADE…

This study attempted to identify the things that help elementary school students solve verbal problems. Among the types of things included for examination were: the attributes of problems, the tools used, and the problem transformations that were possible. The summary of findings is comprised of 29 diverse types of statements grouped under four…

The basic scope of this study is to investigate the learning of mathematical concepts by primary grade students whose native language is other than English (Spanish). The efforts of the investigators in the study and the analysis of students' behaviors are to be concentrated in the areas of addition and subtraction operations, concept of number,…

The Minnesota School Mathematics and Science Teaching (MINNEMAST) Project is characterized by its emphasis on the coordination of mathematics and science in the elementary school curriculum. Units are planned to provide children with activities in which they learn various concepts from both subject areas. Each subject is used to support and…