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# Recent Presentations

# Article from March 2014








Some introductory videos about differentiated instruction:

From Carol Tomlinson

What does differentiation in middle school math classrooms look like? Two examples:

Our Presentations page offers links to our power point presentations with basic information about differentiated instruction as well as samples of student work from the project.

Additional References about Differentiation:
Heacox, D. (2002). Differentiating instruction in the regular classroom: How to reach and
teach all learners, grades 3-12. Minneapolis, MN: Free Spirit Publishing.

Humphreys, C., & Parker, R. (2015). Making Number Talks Matter: Developing Mathematical Practices and Deepening Understanding, Grades 4-10. Stenhouse Publishers.

Laud, L. (2011). Using formative assessment to differentiate mathematics instruction,
grades 4-10: Seven practices to maximize learning. Thousand Oaks, CA, and Reston, VA:
Corwin and NCTM.

Parrish, S (2010). Number talks: Helping children build mental math and computation strategies, grades K-5. Math Solutions, 2010.

Small, M., & Lin, A. (2010). More good questions: Great ways to differentiate secondary
mathematics instruction. New York and Reston, VA: Teachers College Press and the
National Council of Teachers of Mathematics.

Tomlinson, C. A. (2005). How to differentiate instruction in mixed-ability classrooms
(2nd ed.). Upper Saddle River, NJ: Pearson.

Carol Tomlinson's website: http://www.caroltomlinson.com/

Other References Cited:

ACT (2010). A first look at the common core and college and career readiness. Retrieved July 9, 2012 from http://www.act.org/research/policymakers/pdf/FirstLook.pdf

Brown, A. L. (1992). Design experiments: Theoretical and methodological challenges in creating complex interventions in classroom settings. Journal of the Learning Sciences, 2(2), 141-178.

Chazan, D. & Yerushalmy, M. (2003). On appreciating the cognitive complexity of school algebra: Research on algebra learning and directions of curricular change. In J. Kilpatrick, W. G. Martin, & D. Schifter (Eds.), A research companion to Principles and Standards for School Mathematics (pp 123-135), Reston, VA: National Council of Teachers of Mathematics.

Gamoran, A., & Weinstein, M. (1998). Differentiation and opportunity in restructured schools. American Journal of Education, 106(3), 385-415.

Hackenberg, A. J. (2007). Units coordination and the construction of improper fractions: A revision of the splitting hypothesis. Journal of Mathematical Behavior, 26, 27-47.

Hackenberg, A. J. (2010). Students' reasoning with reversible multiplicative relationships. Cognition and Instruction, 28(4), 1-50.

Hackenberg, A. J. (2013). The fractional knowledge and algebraic reasoning of students with the first multiplicative concept. Journal of Mathematical Behavior, 32(3), 538-563.

Hackenberg, A. J., & Lee, M. Y. (2015). Relationships between students' fractional knowledge and equation writing. Journal for Research in Mathematics Education, 46(2), 196-243.

Hackenberg, A. J., & Tillema, E. S. (2009). Students' whole number multiplicative concepts: A critical constructive resource for fraction composition schemes. Journal of Mathematical Behavior, 28, 1-18.

National Mathematics Advisory Panel (NMAP). (2008). Foundations for success: The final report of the national mathematics advisory panel. Washington, DC: U.S. Department of Education.

Olive, J., & Caglayan, G. (2008). Learners' difficulties with quantitative units in algebraic word problems and the teachers's interpretation of those difficulties. International Journal of Science and Mathematics Education, 6, 269-292.

Steffe, L. P., & Olive, J. (2010). Children's fractional knowledge. New York: Springer.

Tomlinson, C. A., Brighton, C., Hertberg, H., Callahan, C. M., Moon, T. R., Brimijoin, K., Conover, L. A., & Reynolds, T. (2003). Differentiating instruction in response to student readiness, interest, and learning profile in academically diverse classrooms: A review of literature. Journal for the Education of the Gifted, 27(2/3), 119-145.

U.S. Department of Education, National Center for Education Statistics (2012). Digest of Education Statistics, 2011 (NCES 2012-001), Chapter 2. Retrieved June 29, 2012 from http://nces.ed.gov/programs/digest/d11/ch_2.asp.