Knowledge at the Mathematical Horizon


This research explores the link between teachers' Knowledge at the Mathematical Horizon and their developing pedagogical sensitivities and their abilities to anticipate and respond to student learning.  It examines how a more robust KMH may help teachers break away from familiar routines or strategies and broaden their expectations for what are important and helpful experiences for learners. ​

Where to learn more

  • Taylor, P. & Mamolo, A. (2024). A view of the horizon. For the Learning of Mathematics, 44(2), 43-47.
  • Mamolo, A. & Glynn-Adey, P. (2023). Tangible connections within the mathematical horizon: Exploring the Dihedral Calculator. ZDM - Mathematics Education, 55, 793-805. https://doi.org/10.1007/s11858-023-01503-5 
  • LeSage, A. & Mamolo, A. (2023). Experiences of Tension in Teaching Mathematics for Social Justice. In (Eds.) Robinson, K.M., Kotsopoulos, D., Dube, A.K.. Mathematical Teaching and Learning. Springer, https://doi.org/10.1007/978-3-031-31848-1_4 
  • Mamolo, A. & Taylor, P. (2018). Blue skies above the horizon. In Wasserman, N.H. (Ed.) Abstract Algebra and Secondary Mathematics Teacher Education (pp. 431-450). Dordrechet: Springer.
  • Mamolo, A. (2018). Perceptions of social issues as contexts for secondary mathematics. Journal of Mathematical Behavior, 51, 28-40
  • Zazkis, R., & Mamolo, A. (2018). From disturbance to task design, or a story of a rectangular
    lake    . Journal of Mathematics Teacher Education, 21(5), 501-516.
  • Mamolo, A. (2017). Eyes, ears, and expectations: Scripting as a multi-lens tool. In (Eds.) R. Zazkis and P. Herbst. Scripting Approaches in Mathematics Education: Mathematical Dialogues in Research and Practice, (pp.229-248). Springer.
  • Mamolo, A. & Pali, R. (2014). Factors influencing prospective teachers’ recommendations to students: Horizons, hexagons, and heed. Mathematical Thinking and Learning, 16(1), 32-50.
  • Zazkis, R. & Mamolo, A. (2012). Continuing conversations: Towards the horizon. For the Learning of Mathematics, 32(1), 23 – 28.
  • Zazkis, R. & Mamolo, A. (2011). Reconceptualizing knowledge at the mathematical horizon. For the Learning of Mathematics, 31(2), 8 – 13.

Conference presentations:
  • Zazkis, R. & Mamolo, A. (2016). Extending horizons: A story of a teacher educator. IGPMENA​, Arizona, USA
  • Zazkis R. & Mamolo, A. (2016). Thinking "outside the circle": On rectangular lakes and square units.  ​Association of Mathematics Teacher Educators​. Irvine, USA.
  • Wasserman, N., Mamolo, A., Ribeiro, C.M., Jakobsen, A. (2014).  Exploring horizons of knowledge for teaching.  The 38th International conference for the Psychology of Mathematics Education, Vancouver, B.C.
  • Mamolo, A. (2014). An eye to the horizon: The case of Delia’s hexagon. Proceedings of the 17th SIGMAA on RUME Conference. Denver, USA.
  • Mamolo, A. (2013). Pre-service teachers’ mathematical horizons: The case of the irregular hexagon.  The 34th International conference for Psychology of Mathematics Education – NA Chapter. Chicago, USA.