Describes a study in which 383 children in grades 1 through 5 were individually interviewed to find out at what point they construct unit iteration out of transitive reasoning. Indicates that most children construct unit iteration out of transitive reasoning by fourth grade. Suggests a better approach to the teaching of measurement that presents…

Attaining computational fluency is an essential part of students' elementary mathematics education. Offers ways of connecting and balancing understanding and procedures and teaching and assessing computational fluency. (Contains 12 references.) (ASK)

This article proposes a taxonomy of strategies for single-digit multiplication, then uses it to elucidate the nature of the learning tasks involved in multiplication. In preceding work, it has generally been assumed that much of children's strategy development is driven by changes in their general conceptual capabilities relating to number. In…

A variety of applications of logarithms are presented along with suggestions about how this topic might be made more interesting and relevant in a secondary classroom. In most cases, the treatment is multi-modal using numerical, graphical and algebraic approaches.

This article describes a multisensory method for teaching students how to multiply and divide as well as add and subtract integers. The author uses sidewalk chalk and the underlying concept of integers to physically and mentally engage students in understanding the concepts of integers, making connections, and developing computational fluency.…

Learning about mathematics begins in the early years. Through their everyday activities, young children build important foundational knowledge and understanding of mathematics, especially when adults provide specific opportunities to learn and practice concepts and skills. Young children develop early on an informal understanding of important…

The study examined the effectiveness of a tutoring program on counting and number skills for trainable mentally retarded (TMR) and educable mentally retarded (EMR) students (5-14 years old). Experimental Ss received individualized instruction based on counting games while control Ss received instruction on objectives not related to counting.…

Counting and dividing activities for 5- and 6-year-old children, using base ten multibase arithmetic blocks, are described. (DT)

THE PURPOSE OF SYSTEMATIC TEACHING AND LEARNING IN ARITHMETIC IS TO HELP CHILDREN DEVELOP IDEAS OF PROCEDURE, METHODS OF THINKING, MEANING INHERENT IN NUMBER REACTIONS AND ARRANGEMENT IN ORDER THAT THE QUANTITATIVE SITUATIONS OF LIFE MAY BE HANDLED INTELLIGENTLY. AT THE KINDERGARTEN-PRIMARY LEVEL THE NUMBER CONCEPTS TO BE FOSTERED ARE--PUTTING…

Computational algorithms appearing in early American arithmetic text are discussed. (SD)

Described is a case in which a young student stumbles upon the "integer" technique for subtraction which differs from the techniques of decomposition and equal addition. (MN)

A successful method for teaching place value is described. (JT)