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**Step 1 References**

Cathcart, W. George, Yvonne M. Pothier and James H. Vance. *Learning Mathematics in Elementary and Middle Schools*. 2nd ed. Scarborough, ON: Prentice-Hall Canada Inc., 1997.

Vance, James. "Rational Number Sense: Development and Assessment." *delta-K *28, 2 (1990), pp. 23–27.

Van de Walle, John A. *Elementary and Middle School Mathematics: Teaching Developmentally*. 4th ed. Boston, MA: Addison Wesley Longman, Inc., 2001.

Van de Walle, John A. and LouAnn H. Lovin. *Teaching Student-Centered Mathematics: Grades K–3*. Boston, MA: Pearson Education, Inc., 2006.

Wheatley, Grayson H. and George Abshire. *Developing Mathematical Fluency: Activities for Grades 5–8*. Tallahassee, FL: Mathematics Learning, 2002.

**Step 2 References**

Alberta Education. *The Alberta K–9 Mathematics Program of Studies with Achievement Indicators*. Edmonton, AB: Alberta Education, 2007.

Wheatley, Grayson H. and George Abshire. *Developing Mathematical Fluency: Activities for Grades 5–8*. Tallahassee, FL: Mathematics Learning, 2002.

**Step 3 References**

Alberta Education. *Diagnostic Mathematics Program, Elementary: Numeration, Division II*. Edmonton, AB: Alberta Education, 1990.

Barton, Mary Lee and Clare Heidema.* Teaching Reading in Mathematics: A Supplement to Teaching Reading in the Content Areas Teacher's Manual*. 2nd ed. Aurora, CO: McREL (Mid-continent Research for Education and Learning), 2002.

Curcio, Frances R. and Nadine S. Bezuk. *Understanding Rational Numbers and Proportions: Curriculum and Evaluation Standards for School Mathematics Addenda Series, Grades 5–8*. Reston, VA: The National Council of Teachers of Mathematics, 1994.

Frayer, D. A., W. C. Frederick and H. J. Klausmeier. *A Schema for Testing the Level of Concept Master*y (Working Paper No. 16/Technical Report No. 16). Madison, WI: Research and Development Center for Cognitive Learning, University of Wisconsin, 1969.

National Council of Supervisors of Mathematics. *Great Tasks and More!* Reston, VA: The National Council of Supervisors of Mathematics, 1996.

National Council of Teachers of Mathematics. *Principles and Standards for School Mathematics*. Reston, VA: The National Council of Teachers of Mathematics, 2000.

National Council of Teachers of Mathematics. *Professional Standards for Teaching Mathematics*. Reston, VA: The National Council of Teachers of Mathematics, 1991.

Van de Walle, John A. and LouAnn H. Lovin. *Teaching Student-Centered Mathematics: Grades K–3*. Boston, MA: Pearson Education, Inc., 2006.

**Step 4 References**

No references.

**Step 5 References**

Allen, Charles et al. *Mathematics Assessment: A Practical Handbook for Grades 3–5, Classroom Assessment for School Mathematics K–12 Series*. Reston, VA: The National Council of Teachers of Mathematics, 2001.

Curcio, Frances R. and Nadine S. Bezuk. *Understanding Rational Numbers and Proportions: Curriculum and Evaluation Standards for School Mathematics Addenda Series, Grades 5–8*. Reston, VA: The National Council of Teachers of Mathematics, 1994.

National Council of Supervisors of Mathematics. *Great Tasks and More!* Reston, VA: The National Council of Supervisors of Mathematics, 1996.

**Other References**

Wiggins, Grant and Jay McTighe. *Understanding by Design*. Alexandria, VA: Association for Supervision and Curriculum Development, 1998.