This groundbreaking book looks at the development of mathematical thinking in infants and toddlers, with an emphasis on the earliest stage, from zero to three, when mathematical thinking and problem solving first emerge as natural instincts. The text explores the four precursor math concepts--attribute, comparison, change, and pattern--with an…

This book provides an introduction to what it means to be numerate, and how numeracy can best be developed and nurtured in children and in adults. It also presents a cohesive coverage of numeracy development from early childhood to adulthood. This book draws on international research and practice to provide a comprehensive overview on the topic.…

The Common Core State Standards for Mathematics (CCSSI 2010) expect second grade students to "fluently add and subtract within 20 using mental strategies" (2.OA.B.2). Most children begin with number word sequences and counting approximations and then develop greater skill with counting. But do all teachers really understand how this…

This report summarizes recommendations from NCTM, NRC, CCSSM, NMAP, and IES to guide early numeracy instruction for elementary age students in general and special education classroom settings. We highlight common threads among general and special education research recommendations and provide a numeracy intervention curriculum model connecting…

Traditionally, small-group math instruction has been used as a format for reaching children who struggle to understand. Math coach Kassia Omohundro Wedekind uses small-group instruction as the centerpiece of her math workshop approach, engaging all students in rigorous "math exchanges." The key characteristics of these mathematical conversations…

Since the dawn of civilization, pictorial representations and symbols have been used to communicate simple statistics. Efficient and effective, they are still used today in the form of pictures and graphs to record and present data. Who can tie their shoes? How many calories are in your favorite food? Make data and graphs relevant and interesting…

New Mexico Mathematics Content Standards, Benchmarks, and Performance Standards identify what students should know and be able to do across all grade levels, forming a spiraling framework in the sense that many skills, once introduced, develop over time. While the Performance Standards are set forth at grade-specific levels, they do not exist as…

Children who learn math fundamentals in preschool and kindergarten have the best chance of later achievement in school--but too often, children don't get the effective early math instruction that makes all the difference. Now there's a core early childhood textbook that helps current and future educators teach the most critical math concepts to…

A holiday quilt project in a kindergarten classroom becomes a focus for exploring patterns, shapes, measurement, spatial relationships, and number sense. Cooperative group work, problem solving, and communication of mathematical ideas enhance the completion of the project. (Contains 5 figures.)

Presents activities that explore step-cut dissections of whole rectangles. Provides students with the opportunity to discover patterns, which allows them to solve more and more complex problems that offer a context within which students can think about and use different mathematical concepts. (JRH)

Lists six basic principles for building numeracy. Presents variety of activities in four categories of number concepts: spatial relationship, classifying, patterns, and correspondence. Suggests music, movement, and book ideas for each category of activity. Gives directions for making a geoboard and a reusable graph board. (DLH)

Describes strategies for using literature to teach number sense and problem solving. Reports that the rich class discussions reflected some of the students' thinking, gave students opportunities to share their approaches and understandings, and gave the teacher additional insights into students' thinking. (JRH)

Presents five articles addressing numbers and math instruction for young children: "Math Talk with Young Children: One Parent's Experience" (Fred E. Gross); "How Children Build Their Understanding of Numbers" (David Elkind); "Early Math: It's More than Numbers" (Ann S. Epstein); "Assessing Mathematical Learning: Observing and Listening to…

This curriculum guide, developed by an adult basic education program for disadvantaged women, provides methods for teaching mathematical concepts and operations including whole numbers, fractions, decimals, and percents. The curriculum illustrates methods and activities that bridge the gap between numerals (the symbols of mathematical…

This packet contains four products of a workplace literacy course on numbers and charts for hospital workers. The instructor's manual contains an answer key for the student activities, and a pre- and post-evaluation, along with a syllabus for the 13-week course that provides information on instructional goal, course description, objectives,…