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)

An explanation is given for the development of the Roman numeral system in terms of the smallest number of marks required to enumerate items. (RM)

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

Ways of combining mathematics and coding are discussed, with a wide variety of applications given. (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)

This paper describes the Rational Number Project (RNP), teaching experiments concerned with the teaching and learning of fractions among 4th and 5th grade students. Interviews with 4th grade students who used the RNP curriculum and with students who used a traditional curriculum were conducted by RNP staff as well as classroom teachers. This paper…

The development of proportional reasoning is a major focus of the middle grades curriculum. The challenge for educators is to find contexts that engage students and that facilitate the study of proportional reasoning. This chapter explores proportional thinking with students in grades 3-8 by using a number of books in which the underlying stories…

This yearbook contains articles that give insight into students' thinking about factions, ratios, and proportions. Suggestions are offered on how to develop the concepts and skills associated with these topics. The book is divided into elementary, middle school, and professional development sections. Chapters include: (1) "The Development of…