Fuzzy sets have experienced multiple expansions since their conception to enhance their capacity to convey complex information. Intuitionistic fuzzy sets, image fuzzy sets, q-rung orthopair fuzzy sets, and neutrosophic sets are a few of these extensions. Researchers and academics have acquired a lot of information about their theories and methods…

This third edition of the best-selling "Mathematics in Nursery Education" provides an accessible introduction to the teaching of mathematics in the early years. Covering all areas of mathematics learning--number and counting, calculation, pattern, shape, measures and data handling--it summarises the research findings and underlying key concepts…

The chapters in this book reflect the work of science and mathematics educators who have worked for many years at the international level. As members of the International Consortium for Research in Science and Mathematics Education, their work provides readers with issues, models, practices, and research results that have applicability and…

This book contains mathematics activities based upon the concepts of Fibonacci numbers and the Golden Ratio. The activities include higher order thinking skills, calculation practice, integration with different subject areas, mathematics history, extensions and home tasks, teaching notes, and questions for thought and comprehension. A visual map…

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 suggests creative, classroom-tested mathematics activities to teach number recognition and counting, number formation, sorting and classification, measuring (including time and date), shapes, graphing, estimating, ordinal positions, money, patterning, tallying, and fractions. Activities are presented in the forms of games, crafts, songs,…

This book features a collection of 54 decimal number puzzles designed to provide experiences in problem solving and mathematical reasoning for middle and high school students. Each puzzle consists of a sequence of 10 clues about an unknown decimal number. The clues, when revealed one at a time, lead students through deductive reasoning to the…

Children today are very different from children of even five years ago. More and more children are recognized as having learning difficulties, and their self-esteem is more fragile than ever. Children used to TVs, VCRs, cellular phones, computers, and Gameboys demand high-interest activities rather than the "skill and drill" methods of a decade…

This book provides dozens of carefully prepared letters for parents in English and Spanish that teachers can send home weekly. Each of the 40 letters focuses on direct and easy-to-implement mathematics activities that can be incorporated regularly into a family's daily routine without turning the home into a school away from school. The letters…

This book is designed to provide middle-grade mathematics teachers with ideas for enlivening instruction to help students acquire a sense about numbers. Guided classroom discussions for writing opportunities centered on the theme of problem solving are provided. Following an introduction, chapters include the following: Counterintuitive Problems;…

This book contains a classroom-tested approach to the teaching of problem solving to all students in Grades 4-6, regardless of ability. Information on problem solving in general is provided, then mathematical problems on logic, whole numbers, number theory, fractions, decimals, geometry, ratio, proportion, percent, probability, sets, and…

This book is a guide to the development of mathematical talent in students in grades K through 8. The first chapter is on developing mathematical promise and considers characteristics of students who are mathematically promising, the goals of mathematics instruction, how to find and/or create good problems, models for increasing the numbers and…

Counting books offer children the time and the tools to develop the understanding needed to solve problems. Stimulated by these books, children may use mathematic language and talk about mathematics as they get involved with materials to move and manipulate, as they use supportive aids found in illustrations, and as they interact with materials to…

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,…

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…