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Number Sense

The Young Mathematician at Work: Addition and Subtraction (1st in a series of 3 volumes)

Each book in this series of three illuminates the progression of strategies, the development of big ideas and the mathematical models that children construct. The first volume focuses on how young children develop an understanding of number, addition and subtraction. The second volume focuses on how students develop an understanding of multiplication and division. The third volume highlights how students develop an understanding of fractions, decimals and percents.

Bibliographic Citation: 
Fosnot, Catherine Twomey and Dolk, Maarten (2001). The Young Mathematician at Work, Portsmouth, NH: Heinemann.

How Students Learn: Mathematics in the Classroom

How Students learn uses the principles and findings from How People Learn within the context of the mathematics classroom. An introduction to the principles as they apply to mathematics is included in chapter 2, whole numbers at the elementary level is the focus of chapter 3, rational numbers at the middle level is the focus of chapter 4 and chapter 5 focuses on functions at the high school level. This would be an additional reference to sections II, III and IV.

Bibliographic Citation: 
Bibliographic Citation: The National Research Council. ( 2005) Washington, D.C: National Academies Press. The read this book online: http://darwin.nap.edu/books/0309089492/html

Elementary and Middle School Mathematics: Teaching Developmentally (Sixth Edition)

This resource helps readers make sense of mathematics interweaving content ideas with instructional implications. Sixteen chapters reflect the view that mathematics can be taught through a problem-solving approach that motivates children and builds their confidence as they learn. Chapter 9 (pages 120-137) supplements Section II by providing instructional implications for number development in the early grades.

Bibliographic Citation: 
Van de Walle, John A. Elementary and middle cchool mathematics: Teaching developmentally, 6th ed. Boston: Pearson Education, Inc., 2007.

Looking at Learning Again Part 1

A short video clip (4 minutes) reflecting estimation and computation skills in a fourth grade classroom setting. Students are shown solving math problems, using multiplication of whole numbers, as a group. Estimation strategies, problem solving and communication skills are stressed. This short video clip could be used to supplement section II.

Bibliographic Citation: 
Harvard-Smithsonian Center for Astrophysics (2001). Annenberg CPB. To view this video clip: http://www.hsdvl.org/video.php?record_serial=141&state_serial=13581&source=3
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