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Suggested Readings by Topic
We've put together a list of some informative readings in the field of numeracy. They are grouped below by topic.
Number and Operation Sense - Overview
- Clock, J., Boone, M., & Kiser, N. What is Computational Fluency?
- Schmitt, Mary Jane. The Answer Is Still the Same.
Boaler, J., et al. SEEING AS UNDERSTANDING: The Importance of Visual Mathematics for our Brain and Learning.
Number and Operation Sense - Whole Numbers
- National Center for Improving Students Learning & Achievement in Mathematics & Science. (2003). Algebraic Skills & Strategies for Elementary Teachers and Students (Research brief).
- Curry, Donna (2007). Integrating Arithmetic and Algebra. The Math Practitioner. Vol. 13, #1.
- Curry, Donna (2009). Revisiting Subtraction. The Math Practitioner. Vol. 15, #2.
- Curry, Donna (2010). Two Ways of Thinking about Division. The Math Practitioner, Vol.15, #3.
- Reys, Barbara J. Teaching Computational Estimation: Concepts and Strategies.
- Russell, Susan Jo. Developing Computational Fluency with Whole Numbers in the Elementary Grades.
- Tierney,Cornelia C.(1985) Patterns in the Multiplication Table. Arithmetic Teacher (Vol. 32) pp. 36-40.
Number and Operation Sense - Proportion
- Lesh, R., Post, T., & Behr, M. (1988). Proportional Reasoning. In J. Hiebert & M. Behr (Eds.) Number Concepts and Operations in the Middle Grades (pp. 93-118). Reston, VA: Lawrence Erlbaum & National Council of Teachers of Mathematics.
Algebra topics
- Manly, Myrna, and Lynda Ginsburg. (Sept 2010) Algebraic Thinking in Adult Education. National Institute for Literacy.
- National Center for Improving Student Learning and Achievement in Mathematics and Science (2003). Algebraic Skills and Strategies for Elementary Teachers and Students.
Star, J. R., Caronongan, P., Foegen, A., Furgeson, J., Keating, B., Larson, M. R., Lyskawa, J., McCallum, W. G., Porath, J., & Zbiek, R. M. (2015). Teaching strategies for improving algebra knowledge in middle and high school students (NCEE 2014-4333). Washington, DC: National Center for Education Evaluation and Regional Assistance (NCEE), Institute of Education Sciences, U.S. Department of Education.
Geometry topics
- Malloy, C. (2002). The van Hiele Framework.
- Van de Walle, J. (2001). Geometric Thinking and Geometric Concepts.
Data and Statistics
Guidelines for Assessment and Instruction in Statistics Education (GAISE) Reports
Standards
- Common Core State Standards for Math (home page)
- Common Core State Standards for Math (Download the PDF)
- College and Career Readiness Standards for Mathematics (Download the PDF)*
- The CUNY HSE Math Curriculum Framework
- Developing Instructional Units: Applying What Students Learn
NOTE: the resource marked with an asterisk is an excerpt from the report College and Career Readiness Standards for Adult Education (U.S. Department of Education, Office of Vocational and Adult Education). Download the full report here.
New to the College and Career Readiness Mathematics Standards for Adult Education?
Donna Curry of the SABES PD Center for Mathematics and Adult Numeracy/Adult Numeracy Center at TERC gives an overview in this video.
Building a Curriculum orientation video
Donna Curry of the SABES PD Center for Mathematics and Adult Numeracy/Adult Numeracy Center at TERC gives an overview in this video.
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Reference websites
Math topics
- Adult Numeracy Network: http://www.adultnumeracynetwork.org/
BBC Skillswise Maths: http://www.bbc.co.uk/skillswise/maths
National Numeracy project in the UK: http://www.nationalnumeracy.org.uk/home/index.html
Education general interest
- Coalition of Essential Schools: http://essentialschools.org/, especially: http://essentialschools.org/benchmarks