The study examined the effects of modeling and participant modeling techniques on perceptions of self-efficacy and arithmetic achievement of 60 elementary learning disabled children. Results indicated that children in both treatment groups achieved higher self-efficacy and arithmetic scores, with the participant modeling group being the superior…

A fraction table consists of a large number of lines taped to a table. Strips of paper that represent fractions can be manipulated on it to solve problems. Uses of the table for discovering fractions are discussed, considering equivalent fractions and adding, subtracting, multiplying, and dividing fractions. (JN)

This ERIC Digest overviews recent research on teaching and learning fractions and provides suggestions for practice, help in locating resources having direct application in the classroom, and sources for further reading in the literature. Students' conceptions of fractions or rational numbers, common mistakes teachers make, and new teaching…

This paper describes features of a group of misconceptions about decimal notation that lead to students selecting as larger, decimals that look smaller. A longitudinal study identified approximately 900 students from a variety of schools who exhibited these misconceptions and whose subsequent progress could be traced. The data demonstrates that…

This book guides teachers in the appropriate use of calculators in math classrooms in grades 3-8. This resource is organized into two parts. Part One addresses the broad range of classroom teachers' questions and concerns about using calculators for teaching mathematics. Issues covered include: (1) How can calculators support helping children…

This paper draws on a body of research to present representations of numbers which can assist children in learning mathematics. Sections in the paper deal with counting, quantity, rank, and place value. Also included is a model which shows an approach for teaching two-digit and three-digit numbers in kindergarten, first grade, and the first half…

This textbook presents the divisions of arithmetic in their natural order. The fundamental operations upon integers, common fractions, decimals, denominate numbers, and numbers expressed by letters, are followed by their applications to business and to various employments. The pupil is taught to develop observation and thought power, rather than…

This textbook seeks to (1) present to the young mind, unacquainted with the methods of exact reasoning, the elementary principles of arithmetic in their simplest form and combination; and (2) explain and illustrate the various applications of arithmetic in the transactions of business, and thus make known its great practical utility.

This arithmetic textbook aims to train children to meet the ordinary demands of life. This book fulfills the need identified by school superintendents that the social and economic applications of arithmetic be taught in the upper grades so that grammar school children will have an insight into the typical business practices of modern life.

This arithmetic textbook is part of a series that aims to train children to meet the ordinary demands of life. This volume provides drills and reviews of the essentials covered in the preceding books, and it adds many special short methods of calculation that increase efficiency. The chief aim is to extend the child's power to make practical…

The author explains how "structured material such as the Colour-Factor Set can show all the properties, patterns and characters of numbers. Given the mastery over numbers with which these materials provide children, he condemns teachers who require children "to learn multiplication tables by rote and the so-called four rules by…

Student attitudes towards learning arithmetic and student preferences for working independently were not changed by organized lessons based on the manipulation of physical models using a wide range of student participation. (AN)