Teachers' views on practical work and their classroom practices were investigated to confirm or refute existing assumptions and literature claims. The teachers were from two primary schools in a rural area of the Hammarsdale Circuit in KwaZulu-Natal, South Africa. Questionnaires in which teachers expressed their views on practical work and…

This computer software is a tool designed to help teachers help children in grades 1 through 7 construct their own knowledge of whole numbers and fractions. This software is the first in a series of new, dynamic computer microworlds that allow teachers to interact with students and students to interact with each other as they engage in…

This study investigated hearing-impaired students' understanding of the mathematical concept of fractional numbers, as measured by their ability to determine the order and equivalence of fractional numbers. Twenty-one students (ages 10-16) with hearing impairments were compared with 26 students with normal hearing. The study concluded that…

This book is one in a series of teacher resource books developed to: (1) rescue students from the clutches of computers that drill and control; and (2) supply teachers with computer activities compatible with a mathematics program that emphasizes investigation, problem solving, creativity, and hypothesis making and testing. This is not a book…

Mathematics activities and facts related to pi are presented in this issue of "Student Math Notes." Included are: (1) an exercise based on Buffon's needle problem in which pieces of toothpicks are dropped onto a ruled surface; (2) a calculation of pi to 200 decimal places; (3) exercises related to Biblical and ancient Chinese…

Through a series of puzzles involving many geometric Objects,

The performance of 13 and 17-year-olds on National Assessment items involving computation with fractions is reviewed, together with findings from related research. Recommendations for improving instruction are offered. (SD) Aspect of National Assessment (NAEP) dealt with in this document: Results (Interpretation).

These activities were designed to introduce and reinforce fraction concepts. The worksheets begin with naming the numerator and denominator and go on to provide practice with halves, thirds, fourths, fifths, sixths, eighths, ninths, twelfths, and equivalent fractions. Coloring, dot-to-dot puzzles, and identifying activities predominate. A test and…

This guidebook is one in a series of teacher inservice materials. It is an effort to translate the findings of a study of problem-solving instruction in grade 7 into a set of materials that provide teachers with new knowledge about mathematical problem solving, current instructional practices, and recommendations for problem-solving instruction.…

Numerous studies indicate that performance in solving single step multiplicative word problems is influenced by both problem structure and the types of numbers involved in the problem. For example, including numbers less than one often increases the difficulty of a problem. What remains unclear is how problem structure and number type interact in…

Use of low-stress algorithms to reduce the cognitive load on students is advocated. The low-stress algorithm for addition developed by Hutchings is detailed first. Then a variation on the usual algorithm is proposed: adding from left to right, writing the partial sum for each stage. Next, a "quick addition" method for adding fractions proposed by…

A two-year study was conducted with fourth-grade children in the context of extensive teaching experiments concerned with the learning of rational number concepts. Representational difficulties in using the number line model were investigated. While instruction in the second year attempted to resolve observed learning difficulties, the results of…

Rules are given for games (using dominoes) aimed at reinforcing the student's concept of fractions. (DT)

The mathematics curriculum of the 18th and 19th centuries is discussed with particular emphasis on arithmetic and algebra. Comparisons with current practices are made. Sample pages from several early textbooks are reproduced. (SD)

A series of activities designed to help primary school children understand the meaning of the term "fraction," the symbolization, and equivalence of fractions are presented. Identification of units and pictorial representation are stressed, as is the uses of concrete materials. (SD)