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Bay-Williams,
J. M., & Martinie, S. L. (2003). Thinking rationally about number and
operations in the middle school. *Mathematics Teaching in the Middle School, 8*(6), 282-287.

Empson,
S. B. (2002). Organizing diversity in early fraction thinking. In B. Litwiller
(Ed.) *Making sense of fractions, ratios,
and proportions *(pp. 29-40). Reston, VA: National Council of Teachers of
Mathematics.

Fosnot,
C. T., & Dolk, M. (2002). *Young
mathematicians at work: Constructing fractions, decimals, and percents. *Portsmouth,
NH: Heinemann.

Lamon,
S. J. (1999). *More: In-depth discussion
of the reasoning activities in “Teaching fractions and ratios for
understanding.” *Mahwah, NJ: Lawrence Erlbaum.

Lamon,
S. J. (1999). *Teaching fractions and
ratios for understanding: Essential content knowledge and instructional
strategies for teachers.* Mahwah, NJ: Lawrence Erlbaum.

Lamon,
S. (2001). Presenting and representing: From fractions to rational numbers. In
A. A. Cuoco (Ed.), *The roles of
representation in school mathematics* (pp. 146-165). Reston, VA: National
Council of Teachers of Mathematics.

Lamon,
S. (2002). Part-whole comparison with unitizing. In B. Litwiller (Ed.), *Making sense of fractions, ratios, and
proportions *(pp. 79-86). Reston, VA: National Council of Teachers of
Mathematics.

Mack,
N. K. (1995). Confounding whole-number and fraction concepts when building on
informal knowledge. *Journal for Research
in Mathematics Education*, *26, *422-441.

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Middleton,
J. A., van den Heuvel-Panhuizen, M., & Shew, J. A. (1997). Using bar
representations as a model for connecting concepts of rational number. *Mathematics Teaching in the Middle School*,
*3, *302-312.

Moskal,
B. M., & Magone, M. E. (2002). Making explicit what students know about
representing fractions. In B. Litwiller (Ed.) *Making sense of fractions, ratios, and proportions* (pp. 121-129).
Reston, VA: National Council of Teachers of Mathematics.

Moss,
J., & Case, R. (1999). Developing children’s understanding of the rational
numbers: A new model and an experimental curriculum. *Journal for Research in Mathematics Education*, *30, *122-147.

Schifter,
D., Bastable, V., & Russell, S. J. (1999b). *Developing mathematical understanding: Numbers and operations, Part 2,
Making meaning for operations (Casebook)*. Parsippany, NJ: Dale Seymour
Publications.

Siebert,
D., & Gaskin, N. (2006). Creating, naming, and justifying fractions. *Teaching Children Mathematics, 12*(8),
394-400.

Smith,
J. P. III. (2002). The development of students’ knowledge of fractions and
ratios. In B. Litwiller (Ed.), *Making
sense of fractions, ratios, and proportions* (pp. 3-17). Reston, VA:
National Council of Teachers of Mathematics.

Wearne,
D. (2000). Rational numbers. In E. A. Silver & P. A. Kenney (Eds.), *Results from the seventh mathematics
assessment of the National Assessment of Educational Progress* (pp.
163-192). Reston, VA: National Council of Teachers of Mathematics.