The pre-math computer program for preschool children that is described is divided into subprograms representing different basic numerical concepts--discrimination, recognition, and recall--and presents research design used to test the program's effectiveness with Head Start preschool children. Results indicate the program was ineffective…

Factorials are discussed, with note of the enormous size on n! even for modest values of n. A recreational problem to determine the number of zeros at the end of numbers such as 10,000! is given, with a computer program. (MNS)

Analyzed pieces of verbal protocol in a group (N=13), demonstrating structures of cognition and language as they pertain to numbers occurring in verbal productions. Analysis suggested that these linguistic anomolies, though atypical, are not anomalous but are clear cases representing processes of cognition and language. (LLL)

Patterns of addends are investigated. The activity is related to Dienes' learning theory. (DT)

Designs on a circular geoboard lead to an investigation of factors, primes, relative primes, and modular arithmetics. (DT)

In this paper we report on a case study of a university student (third year of Mathematics course). She was engaged in proving a statement of elementary number theory. We asked her to write the thoughts that accompanied her solving process. She was collaborative and her protocol is suitable to study the interrelation between affect and cognition.…

Arithmetic is the major focus of elementary mathematics instruction. This book offers lessons for developing children's numerical understanding and skills. The lessons help children learn to estimate, understand numerical relationships, develop number sense, compute mentally and with paper and pencil, and use arithmetic as a tool to solve…

The materials and ideas in this document are intended to be used by teachers in schools in order to bring adults and children together to experience good mathematics. It features an evening of hands-on mathematics scheduled for one night a week for four weeks. Students and adults come together to share mathematics activities, solve problems, and…

The materials and ideas in this document are intended to be used by teachers in schools in order to bring adults and children together to experience good mathematics. It features an evening of hands-on mathematics scheduled for one night a week for four weeks. Students and adults come together to share mathematics activities, solve problems, and…

By studying and practicing metacognition, teachers and parents are instilling positive attitudes toward learning by teaching how-to-learn skills that prepare children for assessing their own thinking about learning as they become more and more developmentally prepared. This book stresses the strategies for thinking in mathematical terms without…

Children's literature in mathematics has been a valuable tool for developing positive attitudes toward mathematics as well as for exploring mathematics. This book provides annotated bibliographies of children's literature books emphasizing mathematics education. Each review describes the book's content and accuracy, its illustrations and their…

This book is about children's needs for intellectual rigor, as seen through the work and discourse of five undergraduate elementary education students who constructed a number system in base five and then reflected on their experience in the light of what they know about young children's mathematics. The deeper purpose of developing a number…

This teacher resource manual is designed to help teachers implement the Mathematics Preparation 10 course. This manual is a support document that provides helpful information to classroom teachers. The general and specific outcomes of the program of studies for Mathematics Preparation 10 are discussed. These outcomes have been shared to show that…

This teaching guide consists of two short lessons: (1)"Centuries and Millennia"; and (2) "Days, Weeks, Months and Years." The first lesson shows major religious and secular concerns that, in various ages, combined to produce the calendar that now indicates the beginning of "a new millennium." It is specifically…