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…

Two classroom games are discussed, one focusing on the relationships between decimals, percents, and fractions and the other on spatial perception, identification and discrimination of geometric figures. Materials needed, construction suggestions, and rules for playing the games are given. (LS)

Multibase arithmetic blocks are used to investigate the minimum number of blocks of each size to make a square of a given size in a given base. Generalizations are made to any size and any base through pattern recognition. The problem is extended to rectangles, cubes, and rectangular solids. (LS)

Magic squares are used both as a vehicle for arithmetic drill and the development of mathematical concepts for second-grade students. By searching for patterns within the squares, additional number concepts are developed along with the concept of symmetry. (JP)

This paper analyzes common practice and the difficulties children encounter and outlines an entre to mathematics learning which may make the child's task easier. (Author)