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Comparing and Ordering Numbers

Uncovering Student Thinking in Mathematics- 25 K-12 Formative Assessment Probes

The 10 assessment probes in the "Number and Operations" section of this book can be used as a CTS application to examine student thinking after conducting a CTS. Additionally, the teacher background notes provide valuable information on instructional implications (CTS Section II) and research on learning (CTS Section III). For example, the "Comparing FRactions" probe can be used with the "Fractions" CTS to examine student work related to part-whole relationships when comparing fractions.

Bibliographic Citation: 
Rose, C., Minton, L., and Arline, C. 2007. Uncovering student thinking in mathematics- 25 formative assessment probes. Thousand Oaks, CA: Corwin Press.

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.

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.
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