This book contributes to a growing body of research relevant to efforts to make algebra an integral part of early mathematics instruction, an area of studies that has come to be known as Early Algebra. It provides both a rationale for promoting algebraic reasoning in the elementary school curriculum and empirical data to support it. The authors…

This book offers schools an assessment instrument to identify and help children who under-achieve in early numeracy. The book focuses on the Learning Framework in Number (LFIN) which guides the assessment and teaching. The LFIN consists of 11 key aspects of early number development including identifying the stages of early arithmetical learning,…

Mathematics research has discovered two elements that are consistently linked to student achievement: parental involvement and manipulative materials. This book offers a rich assortment of spinner, matrix, and card learning games which can be used in the classroom or at home. The concepts and skills range from whole number operations to geometry.…

This book contains activities related to fractions and proportions. The activities span many grade levels as well as many levels of sophistication. Each activity is accompanied by a set of Teachers Notes that include a discussion of the mathematics topics, grade range, materials needed, mathematics of the activity, and implementation notes. All…

This book presents ways to use high quality children's literature to plan small group workshops in mathematics for K-2 instruction. Each of the six sets of workshops is built around storybooks children love and focuses on a specific aspect of numeracy: shapes, counting, seriation, addition, money, and measurement. Each set is designed for a…

This book presents mathematics activities to help children talk and write mathematically. Children are encouraged to talk about and share their ideas, to use everyday language to describe mathematical situations, and to restate problems in their own words. There are two sections in this book. Part 1 discusses the following issues and implications…

This book contains activities and projects designed to be congruent with three underlying philosophies: the National Council of Teachers of Mathematics' Curriculum and Evaluation Standards; Howard Gardner's multiple intelligences; and manipulatives, activities, and projects. The introduction contains information about educational reforms; multiple…

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…

One of the four cornerstones of the National Council of Teachers of Mathematics (NCTM) "Curriculum and Evaluation Standards for School Mathematics" asserts that connecting mathematics to other subjects in the curriculum and to the everyday world is an important goal of school mathematics. This yearbook is designed to help classroom…

This book contains real-life mathematics problems and is designed to conform to the National Council of Teachers of Mathematics' (NCTM) goals as outlined in the NCTM Curriculum and Evaluation Standards for School Mathematics. The problems come from each person's day-to-day experiences in their careers. Persons from various careers represented are…

This book is a teacher's resource guide designed to help students gain the range of math skills they need to succeed in life, work, and on standardized tests; overcome math anxiety; discover math as interesting and purposeful; and develop good number sense. Topics covered in this book include whole numbers and addition, subtraction,…

This book offers ideas to enrich instruction and help teachers explore the intrinsic beauty of math. Through dozens of examples from arithmetic, algebra, geometry, and probability, the symmetries, patterns, processes, paradoxes, and surprises that have facilitated generations of great thinkers are revealed. Activities include: (1) The Beauty in…

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…

This book is a teacher's resource guide designed to help students gain the range of math skills they need to succeed in life, work, and on standardized tests; overcome math anxiety; discover math as interesting and purposeful; and develop good number sense. Topics covered in this book include whole numbers; decimals and money; fractions, ratios,…

There is growing interest in the possibilities of combining research approaches in education and social sciences, as dissatisfaction mounts with the limitations of traditional mono-method studies and with the schism between quantitative and qualitative methods. This book argues the case for combining multiple research methods, and provides…