"Improving Mathematics in the Early Years and Key Stage 1" reviews the best available evidence to offer five recommendations for developing the maths skills of 3-7-year olds. Recommendations include integrating maths into different activities throughout the day -- for example, at registration and snack time -- to familiarise children…

This book sets out a constructivist, inquiry-based approach to instruction. The approach builds on clear understandings of children's current levels of knowledge, where their learning should progress to, and the means by which children learn early numeracy topics. The methods presented in this book have been used extensively by practitioners in…

Guidelines are presented for modifying basic instruction of subtraction facts for elementary level learning disabled students. A detailed case study is used to illustrate a five-step structured program: (1) find a way to work it out; (2) add to check; (3) learn the partner facts; (4) study families of facts; (5) review and practice. The selection…

This booklet is a designed to introduce adult basic education/literacy instructors to a spiral sequencing approach that may be used to teach whole number skills. The booklet begins with a brief discussion of integration of numeracy into literacy instruction. Discussed next are the benefits of using a spiral sequence for numeracy facilitation and…

This numeracy package, which is intended for use by facilitators in group or tutoring situations, consists of materials designed to help adult literacy students understand number systems, appreciate the different roles that numbers play in daily life, and gain the confidence needed to work with numbers in everyday situations. Part 1, which…

This manual is a dictionary of some 150 errors made by students in their work in mathematics. A precise definition and examples are given for each of these errors and these, combined with a description of common causes of the error, form a background for diagnosis of student problems with arithmetic. Teaching strategies and ideas, each linked to a…

Reasons which account for Asians' superiority in mathematics achievement are discussed in this paper. It is suggested that the regularity of the Oriental number system facilitates counting, calculation, and concepts. This paper reviews a study which sought to determine whether and how the structural regularity of a counting system affected the…

This guide is a collection of ideas for mathematics activities which were assembled and tested by primary teachers. Activities are correlated to a mathematics curriculum for ages 7-9 years. The activities supplement the teaching of basic numeracy and include topics such as the language of mathematics, matching numbers, tracing the numbers, number…

This book is a collection of teaching strategies and activities for teachers of secondary mathematics. This volume is the product of a workshop that focused on student understanding of directed numbers. Suggested teaching methods include introducing the number concept, using a number line, number strips, monograms, bottle top addition and…

Presents 3 examples for setting teacher's aims in Japanese and American mathematics classrooms. Provides 10 guidelines for teachers who would like to include more mathematical dialogue and encourage the expression of conceptual splatter in their classrooms. (YP)

Describes the Quipu, a mathematical device invented by the Incas of Peru that used the base-10 number system to store information. Suggests ways of incorporating material on the quipu into the arithmetic class. (MDH)

Discusses how students at the end of the French primary school-cycle (10- to 11-year-old pupils) resolve multiplication and related division problems within an assessment perspective taking into account the 3 factors of the problem's representational structure, the numerical values used, and the context of the problem statement. (25 references)…

A study analyzed data from the International Association for the Evaluation of Educational Achievement survey of 13 year olds from 20 countries to examine gender differences in mathematics achievement. Multivariate analysis indicated differences varied from country to country and a significant difference in favor of boys in geometry achievement.…

This research was concerned with the clarification of the role that the external representation process (e.g. drawing) plays in children's solving of complex arithmetic problems. Fourteen children in the 10- to 12-year-old age range were asked to represent and solve five complex arithmetic problems (three with temporal organization of data, two…

This guide is a collection of ideas for mathematics activities which were assembled and tested by primary teachers. The activities supplement the teaching of basic numeracy and include topics such as algorithms, pyramids, magic squares, multiples, and number values. The guide is organized into four sections: (1) addition and subtraction; (2)…