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Ratio and Proportion

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.

Number and Operations Annenberg Media

Description: A series of video clips (? hour each) with accompanying support materials such as problem solving activities, online and print resources, interactive activities and demonstrations which help increase teachersí expertise and content knowledge as it relates to number and operations. The online series is a useful resource to supplement section I.

Bibliographic Citation: 
WGBH Education Foundation (2003). Annenberg Media Learner.org To view these video clips: http://www.learner.org/channel/courses/learningmath/number/overview/index.html

How Students (Mis-)Understand Science and Mathematics

The authors propose 'intuitive rules' that students use to reason about mathematics and science concepts. The book provides many examples how these rules can be used to interpret the misconceptions many students have about mathematical concepts. This resource book can be used to supplement the readings from section IV.

Bibliographic Citation: 
Stavy, Ruth and Tirosh, Dina (2000). How Students (Mis- ) Understand Science and Mathematics. NY, NY: Teachers College Press.

A Mathematics Source Book for Elementary and Middle School Teachers

This book discusses many mathematical topics providing key concepts, connections, teaching tips and learning pitfalls. Corresponding NAEP and/or TIMSS are also given. This book would be an additional resource to sections II, III and IV.

Bibliographic Citation: 
University School Support for Educational Reform(1999) A Mathematics Source Book for Elementary and Middle School Teachers, Arena Press, Novato CA (1999)
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