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.
- NCSM 2018 Using the OGAP Division Learning Progression
- NCSM 2018 Formative Assessment Tools and Routines
- NCTM 2018 Research Conference – Revealing Base Ten Understanding
- NCTM 2018 Research Conference – Study finds OGAP has impact on teacher and student learning
- NCSM Linking Research to the Classroom 2008
- NCTM Research Pre-session 2008
- NCSM 2012
- Friday Institute for Educational Innovation, November 16, 2010
- NCSM 2015 Learning Trajectories and Formative Assessment
- NCSM 2015 Lesson Study and Formative Assessment
- NCSM 2016 Learning Progressions and Formative Assessment
- OGAP References
- OGAP Additive Framework
- OGAP Multiplicative Reasoning Framework
- OGAP Fraction Framework
- OGAP Proportional Reasoning Framework