Publications

Petit, M., Laird, R., Ebby, & Marsden. (2022), A Focus on Fractions: Bringing Research to the Classroom 3rd edition. Routledge, New York and London.

Supovitz; Ebby; Remillard; and Nathenson (2021) Impacts of Learning Trajectory–Oriented Formative Assessment on Student Problem-Solving Accuracy and Strategy Sophistication.The Journal for Research in Mathematics Education. Vol. 52, Issue 4. NCTM.

Ebby, Hulbert, & Broadhead (2021). A Focus on Addition and Subtraction: Bringing Mathematics Education Mathematics Education Research to the Classroom. Routledge, New York and London.

Petit, Laird, Wyneken, Huntoon, Abele-Austin, & Sequeira (2020).A Focus on Ratios and Proportions: Bringing Mathematics Education Research to the Classroom. Routledge, New York and London.

Ebby, Hulbert, & Fletcher (April, 2019). What can we learn from correct answers? Teaching Children Mathematics. NCTM, Reston, VA. Vol. 25, No. 6.

Ebby, C.B., Petit, M. (2017) Using Learning Trajectories to Enhance Formative Assessment. Mathematics Teaching in the Middle School. 22, 6, pp.368-372. National Council of the Teachers of Mathematics, Reston, VA.

Ebby, C.B., Petit, M. (2018). Using Learning Trajectories to Elicit, Interpret and Respond to Student Thinking.A Fresh Look at Formative Assessment in Mathematics Teaching. Eds. Silver, Edward, Mills, Valerie. NCTM, Reston, VA.

Hulbert, E., Petit, M., Ebby, C., Cunningham, E.P., & Laird, R.. (2017), A Focus on Multiplication and Division: Bringing Research to the Classroom. Routledge, New York and London. https://www.routledge.com/A-Focus-on-Multiplication-and-Division-Bringing-Research-to-the-Classroom/Hulbert-Petit-Ebby-Cunningham-Laird/p/book/9781138205697

Petit, M., Bouck, M. (2015). The Essence of Formative Assessment in Practice: Classroom Examples. NCSM Journal of Mathematics Education Leadership. Vol. 16. No. 1. National Council of Supervisors of Mathematics, Denver, CO. pp. 19 – 28. (The Essence of Formative Assessment in Practice)

Petit, M., Laird, R., Marsden, E., & Ebby, C. (2016), A Focus on Fractions: Bringing Research to the Classroom 2nd edition. Routledge, New York and London. https://www.routledge.com/A-Focus-on-Fractions-Bringing-Research-to-the-Classroom-2nd-Edition/Petit-Laird-Marsden-Ebby/p/book/9781138816442)

Petit, M. (2011). Learning trajectories and adaptive instruction meet the realities of practice. In Daro, P., Mosher, F., & Corcoran, T. (2011). Learning trajectories in mathematics: A foundation for standards, curriculum, assessment, and instruction (Research Report #68). Philadelphia, PA: Consortium for Policy Research in Education. http://www.cpre.org/sites/default/files/researchreport/1220_learningtrajectoriesinmathcciireport.pdf

Petit, M., Laird, R., & Marsden, E. (2010). A focus on fractions: Bringing research to the classroom. New York, NY: Routledge.

Petit, M., Laird, R., & Marsden, E. (2010). They get fractions as pies–but now what? Mathematics Teaching in the Middle School, 16(1), 5-10.

Petit, M. & Zawojewski, J. (2010). Formative Assessment in Elementary Classrooms. Teaching and Learning Mathematics: Translating Research for Elementary School Teachers. NCTM, Reston, VA.

Petit, M., Zawojewski, J., & Labaddo, J. (2010). Formative Assessment in the Secondary School Classroom. Teaching and Learning Mathematics: Translating Research for Secondary School Teachers. NCTM, Reston, VA.

Teachers College (2009). Charting Path to Learning, 2009 Annual Report. Teacher’s College, Columbia University.

National Presentations

  • OGAP References
  • OGAP Additive Framework
  • OGAP Multiplicative Reasoning Framework
  • OGAP Fraction Framework
  • OGAP Proportional Reasoning Framework

OGAP Questions Instructional Decisions

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