Newton's method for finding roots of equations is described. How to find complex roots using the BASIC computer language is then presented, with the computer program included. (MNS)

"Root multiples" are defined, and problems involving "root multiples" are explored. (DT)

An approach to absolute value is described which emphasizes the metric property of the absolute value function and the fact that the real number form an ordered set. (DT)

Some methods for teaching fractions are presented. (DT)

Four reasons for teaching fractions to children are discussed. (DT)

Children's responses to a discovery learning exercise are discussed. (DT)

Students were pretested, then 27 first graders were trained using a highly verbal procedure emphasizing class addition activities. On posttests, trained subjects significantly improved their class inclusion and number conservation scores, but no effects were found for substance conservation or transitivity. (DT)

Six units of instruction, each including a variety of activities involving ratios, are presented. (DT)

A simple model that portrays both addition and subtraction of positive and negative numbers is explained. (DT)

Paper folding and coloring activities are presented which involve the use of rectangular and square regions as models for basic fraction concepts. Rules for a fraction game also are included. (DT)

Noting that current research on childrens mathematical development does not adequately detail how toddlers represent small numbers and the role that number words play in the development of number understanding, this study used a combination of methods to examine mathematical development in one toddler. Underlying the study was an Integrated Model…

Seventh and eighth grade students identified as holding an incomplete fraction conception of decimals were tested on related fraction knowledge. Most of these students (78%) had a problem in coordinating the size of the parts and the number of parts in comparing fractions. These students underwent several instructional sessions. Half of them…

This book features a collection of 54 decimal number puzzles designed to provide experiences in problem solving and mathematical reasoning for middle and high school students. Each puzzle consists of a sequence of 10 clues about an unknown decimal number. The clues, when revealed one at a time, lead students through deductive reasoning to the…

This study involved examining the nature and scope of numeracy, distilling out the important features, and representing these features in sample numeracy materials. The paper examines the precise nature of numeracy and its scope in enhancing the educational experiences of adult learners. It is intended to discuss the characteristics of the adult…

This paper describes an action research project that investigated issues concerning the teaching and learning of numeracy in the middle years. Building on research concerning the middle years of schooling, and their own experience of teaching mathematics in years 5-8, a group of teachers, drawn from four schools, trialed strategies intended to…