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Works (35)
2025 article
The Design & Pitch Challenges in STEM: A Theoretical Framework for Centering Mathematics Learning in Entrepreneurial Pitch Competitions
Belcher, M., Confrey, J., Krupa, E. E., & Borden, M. L. (2025, May 25). Education Sciences, Vol. 15.
2024 article
Algorithms, spreadsheets and functions: exploring middle graders’ functional reasoning during a STEM entrepreneurial pitch competition
Belcher, M., Confrey, J., & Krupa, E. (2024, November 25). International Journal of Mathematical Education in Science and Technology, Vol. 11.
2021 article
Examining instructional change at scale using data from diagnostic assessments built on learning trajectories
Confrey, J., & Shah, M. (2021, April 16). ZDM.
2021 article
Validation of a Learning Trajectory-Based Diagnostic Mathematics Assessment System as a Trading Zone
Confrey, J., Shah, M., & Toutkoushian, E. (2021, August 26). Frontiers in Education.
2020 article
Working at scale to initiate ongoing validation of learning trajectory-based classroom assessments for middle grade mathematics
Confrey, J., Toutkoushian, E., & Shah, M. (2020, September 21). The Journal of Mathematical Behavior.
2019 article
A Validation Argument From Soup to Nuts: Assessing Progress on Learning Trajectories for Middle-School Mathematics
Confrey, J., Toutkoushian, E., & Shah, M. (2019, January 2). Applied Measurement in Education.
2018 article
The concept of an agile curriculum as applied to a middle school mathematics digital learning system (DLS)
Confrey, J., Maloney, A. P., Belcher, M., McGowan, W., Hennessey, M., & Shah, M. (2018, January 1). International Journal of Educational Research.
2017 article
Scaffolding learner-centered curricular coherence using learning maps and diagnostic assessments designed around mathematics learning trajectories
Confrey, J., Gianopulos, G., McGowan, W., Shah, M., & Belcher, M. (2017, May 26). ZDM.
2017 chapter
Topic Study Group No. 36: Task Design, Analysis and Learning Environments Programme Summary
In Proceedings of the 13th International Congress on Mathematical Education (pp. 549–553).
2017 article
Untangling the “Messy Middle” in Learning Trajectories
Confrey, J., Maloney, A., & Gianopulos, G. (2017, October 2). Measurement Interdisciplinary Research and Perspectives.
2015 journal article
A design research study of a curriculum and diagnostic assessment system for a learning trajectory on equipartitioning
ZDM, 47(6), 919–932.
2015 journal article
Challenges in Modeling and Measuring Learning Trajectories
Measurement: Interdisciplinary Research and Perspectives, 13(2), 100–105.
2015 journal article
Design research with a focus on learning processes: an overview on achievements and challenges
ZDM, 47(6), 877–891.
2015 journal article
Effects of a reform high school mathematics curriculum on student achievement: whom does it benefit?
Journal of Curriculum Studies, 49(2), 191–215.
2015 article
Engineering [for] Effectiveness in Mathematics Education: Intervention at the Instructional Core in an Era of Common Core Standards
Confrey, J., & Maloney, A. (2015, January 1).
2014 journal article
Equipartitioning, a foundation for rational number reasoning elucidation of a learning trajectory
Learning Over Time: Learning Trajectories in Marhematics Education, 61–96.
2014 journal article
Exploring the relationship between learning trajectories and curriculum a content analysis of rational number reasoning in connected mathematics and UCSMP transition mathematics
Learning Over Time: Learning Trajectories in Marhematics Education, 161–185.
2014 book
Learning over time: Learning trajectories in mathematics education
Charlotte, NC: Information Age Publishing, Inc.
Ed(s): A. Maloney, , K. Nguyen & C. School
2014 book
Learning over time: learning trajectories in mathematics education
Charlotte, NC:Information Age Publishing, Inc.
Ed(s): & K. Nguyen
2014 journal article
Learning trajectories going forward a foundation for coherence in the instructional core conclusion
Learning Over Time: Learning Trajectories in Marhematics Education, 243–255.
2014 journal article
Learning trajectories in mathematics introduction
Learning Over Time: Learning Trajectories in Marhematics Education, XI-.
2014 journal article
Learning trajectories: a framework for connecting standards with curriculum
ZDM, 46(5), 719–733.
2014 journal article
Linking standards and learning trajectories boundary objects and representations
Learning Over Time: Learning Trajectories in Marhematics Education, 125–160.
2013 article
Design Decisions in Developing Learning Trajectories–Based Assessments in Mathematics: A Case Study
Penuel, W. R., Confrey, J., Maloney, A., & Rupp, A. A. (2013, November 23). Journal of the Learning Sciences.
2013 journal article
Learning trajectories in teacher education: Supporting teachers’ understandings of students’ mathematical thinking
The Journal of Mathematical Behavior, 32(2), 103–121.
2013 journal article
Teachers’ use of their mathematical knowledge for teaching in learning a mathematics learning trajectory
Journal of Mathematics Teacher Education, 17(2), 149–175.
Contributors: P. Wilson*, P. Sztajn n , C. Edgington n & n
2012 article
Learning Trajectory Based Instruction
Sztajn, P., Confrey, J., Wilson, P. H., & Edgington, C. (2012, June 1). Educational Researcher, Vol. 41, pp. 147–156.
Contributors: P. Sztajn n , *, P. Wilson* & C. Edgington*
2010 journal article
Strengthening research by designing for coherence and connections to practice
Journal for Research in Mathematics Education, 41(3), 216–235.
2009 conference paper
Equipartitioning/splitting as a foundation of rational number reasoning using learning trajectories
Pme 33: proceedings of the 33rd conference of the international group for the psychology of mathematics education, vol 2, 2, 345–352.
2009 conference paper
Pre-service elementary teachers' utilization of an equipartitioning learning trajectory to build models of student thinking
Pme 33: proceedings of the 33rd conference of the international group for the psychology of mathematics education, vol 4, 4, 129–136.
2009 journal article
Research in mathematics education: Multiple methods for multiple uses
Journal for Research in Mathematics Education, 40(3), 216–240.
2008 journal article
Justifying Alternative Models in Learning Astronomy: A study of K–8 science teachers’ understanding of frames of reference
International Journal of Science Education, 32(1), 1–29.
2008 article
Situating research on curricular change
2007 journal article
From conceptual change to transformative modeling: A case study of an elementary teacher in learning astronomy
Science Education, 91(6), 948–966.
2004 journal article
Undertaking data analysis of student outcomes as professional development for teachers
Zentralblatt Für Didaktik Der Mathematik, 36(1), 32–40.