Books published by publisher National Coun. of Teachers of Mathematic

This book demonstrates how some fundamental ideas about data analysis and probability can be introduced to build a strong foundation in young students. Activities designed to introduce and promote familiarity with essential concepts develop and extend students' ideas about data analysis and simple probability through the use of bar graphs, tallies, frequency tables, and Venn diagrams. Helpful margin notes provide teaching tips, anticipated student responses to questions, samples of students' work, and ways to modify the activities for students experiencing difficulty or needing enrichment. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students, and additional readings for teachers.

This annotated list of more than 550 titles analyses each book's content and accuracy, illustrations, style and any included activities. Highlights include a new section titled ""Series and Other Resources"" to accommodate the large number of books that have been issued in series, as well as a new subsection called ""Incidental Geometry-Quilting,"" which lists books that help students make connections among geometry, history and quilting.

Improving Mathematics Instruction for All Students through Research-Based ApproachesResearch has long been recognized as a key component to building effective mathematics education for all grades. This 2014 issue of Annual Perspectives in Mathematics Education (APME) focuses on the core of NCTM's mission since its inception: supporting teachers to improve instruction through research-based approaches. The 24 chapters, written by leading mathematics educators and researchers, are grouped into five topic areas: Change; Problem Solving; Reasoning, Explaining, and Discourse; Seeing Structure and Generalizing; and Assessment for Teaching and Learning. These five sections feature a wide range of subjects and approaches that include how to create a classroom culture that encourages students to be persistent; strategies for building on students explanations in ways that invite them into discussions; methods for improving proficiency with the Common Core Standards for Mathematical Practices; ways to develop student mathematicians through formative assessment cycles; a framework for turning mathematical errors into springboards for learning. The results of the research presented here are exciting and provocative, and this inaugural issue of APME is sure to make an important contribution to supporting the teaching and learning of mathematics at all levels. Chapters include descriptions of the research projects, classroom examples, research observations, lesson plan development, and proven strategies that teachers can apply to the classroom. ABOUT Annual Perspectives in Mathematics Education (APME) NCTM s new flagship series is designed to provide a range of perspectives focused each year on a timely topic in mathematics education. APME will take on important subjects and issues, offering a wide range of authors (including classroom teachers, university researchers, and occasionally educators outside of mathematics education), targeting a diverse audience that reflects NCTM's membership, and featuring chapters that span the pre-K 16 spectrum.

Applying research to strengthen teaching practice and ensure students success in mathematics More than seventy years of research point to the importance of teaching mathematics for understanding. Successful students actively construct understanding rather than passively receive knowledge. Implications of this fundamental lesson from research are explored in different ways in this book.More Lessons Learned from Research, Volume 2 rounds out More Lessons Learned from Research, Volume 1 (2015) by presenting twenty-four more chapters that share ideas for strengthening teaching and learning by applying accessible, relevant insights from research. As in the first volume, all the chapters have been adapted and updated from articles published in NCTM s Journal for Research in Mathematics Education between 2000 and 2010, and the authors have rewritten and revised their work to make it clear, understandable, and useful for classroom mathematics teachers.The chapters cover investigations of a wide range of topics, approaches, and settings, including- explorations related to teaching and learning with understanding, including how to use evidence of students correct and incorrect thinking to guide instruction evaluations of reform efforts in mathematics education in schools serving high-poverty communities or students of color; examinations of professional development to support teachers of mathematics to pre-K students; case studies of theory-based approaches to teaching mathematics in the early elementary grades and an implementation of a mathematics curriculum based on social justice; and analyses related to the teaching and learning of important topics in the school curriculum, including basic arithmetic operations; fractions and decimals; algebraic reasoning; probability, and calculus; Mathematics teachers at all levels will find examples of research that is relevant to the challenges they face. This book, together with its predecessor, enables researchers and teachers to meet on common ground to improve mathematics education for all students.

Discrete mathematics is a rapidly expanding branch of mathematics with important applications in computer science and other fields. Young children encounter ideas in discrete mathematics naturally in counting and coloring. The authors present three topics systematic counting, vertex-edge graphs, and iterative and recursive processes in lively, hands-on activities that engage pre-K grade 5 students in sorting buttons, coloring maps, plotting routes, and more. The supplemental CD-ROM includes applets for students use, ready-to-print activity sheets, and professional development resources for teachers.