Educational Design of Mathematics Content: Report From a Pioneering Workshop



contemplation, contemplative-somatic practices, contemplative mathematics, somatic learning, phenomenology, contemplative arts research, embodiment theory, enactivism, Feldenkrais Method, meditation, Qigong, somatic


Researchers in the field of mathematics education are beginning to appreciate the potential of contemplative practices such as mindfulness to alleviate students’ stress and increase their focus. What researchers do not yet know is whether, and if so how, bringing focused attention to somatic experience through a wide variety of contemplative–somatic practices (i.e., yoga, Feldenkrais, body–mind centering, and attending to bodily sensations in meditation) may support student learning of specific mathematical content. As a first step toward conceptualizing and ideating the pedagogical design and facilitation of content-oriented contemplative exercises, we convened a workshop to explore these ideas. Here we report on findings from this pioneering workshop, which brought together international scholars and practitioners interested in the relations between contemplative–somatic practice and mathematical reasoning and learning. This report elaborates on participants’ experiences and derived pedagogical insights to offer the field new horizons in the development of the theory and practice of contemplative mathematics.

Author Biographies

Dor Abrahamson, University of California, Berkeley

Associate Professor, Graduate School of Education

Patricia Fay Morgan, The Contemplative Academy

Dr. Patricia Morgan is a contemplative theorist researching and teaching in contemplative education, art, ethics and law. She currently researches the impacts of ICT at UNSW and creates curriculum in contemplative inquiry and compassion competence for the Nan Tien Institute, Australia. Patricia received an Australian Government scholarship to complete her PhD and this applied philosophical study of contemplative consciousness in education is the first of its kind in Australia. Patricia is a contemplative and has worked as a fine artist and designer. Combining these experiences she designs and facilitates a range of contemplative initiatives in and outside of the academe. Patricia publishes in the areas of contemplative law, history, education, mathematics and consciousness studies and is an invited presenter in Australia and the US.


Abrahamson, D., Sánchez-García, R., & Smyth, C. (2016). Metaphors are projected constraints on action: An ecological dynamics view on learning across the disciplines. In C.-K. Looi, J. L. Polman, U. Cress, & P. Reimann (Eds.), “Transforming learning, empowering learners,” Proceedings of the International Conference of the Learning Sciences (ICLS 2016) (Vol. 1, “Full Papers,” pp. 314–321). Singapore: International Society of the Learning Sciences.

Abrahamson, D., Shayan, S., Bakker, A., & Van der Schaaf, M. F. (2016). Eye-tracking Piaget: Capturing the emergence of attentional anchors in the coordination of proportional motor action. Human Development, 58(4–5), 218–244.

Brady, R. (2007). Learning to stop, stopping to learn: Discovering the contemplative dimension in Education. Journal of Transformative Education, 5(4), 372–394.

Brunyé, T., Mahoney, C., Giles, G., Rapp, D., Taylor, H., & Kanarek, R. (2013). Learning to relax: Evaluating four brief interventions for overcoming the negative emotions accompanying math anxiety. Learning and Individual Differences, 27, 1–7.

Cole, A. (2004). Mathematics and the Feldenkrais method. The Feldenkrais Journal, 17, 17–26.

Desbordes, G., Gard, T., Hodge, E. A., Hölzel, B. K., Kerr, K., Lazar, S. W., ...Vago, D. R. (2015). Moving beyond mindfulness: Defining equanimity as an outcome measure in meditation and contemplative research. Mindfulness, 6(2), 356–372.

Gendlin, E. (2010). Focusing: How to gain direct access to your body's knowledge (25th ed.). London, England: Random House.

Gendlin, E. (1997). Experiencing and the creation of meaning: A philosophical and psychological approach to the subjective. Evanston, IL: Northwestern University Press.

Giorgi, A. (2012). The descriptive phenomenological psychological method. Journal of Phenomenological Psychology, 42, 3–12.

Glasser, B. G., & Strauss, A. L. (1967). The discovery of grounded theory. Chicago: Aldine.

Hutto, D. D., Kirchhoff, M. D., & Abrahamson, D. (2015). The enactive roots of STEM: Rethinking educational design in mathematics. Educational Psychology Review, 27(3), 371–389.

Jordan, B., & Henderson, A. (1995). Interaction analysis: Foundations and practice. Journal of the Learning Sciences, 4(1), 39–103.

Mason, J. (2003). On the structure of attention in the learning of mathematics. Australian Mathematics Teacher, 59(4), 17–25.

Morgan, P. (2012). Following contemplative education students’ transformation through their “ground-of-being” experiences. Journal of Transformative Education, 1(1), 23–42.

Morgan, P. (2013). Learning feelings: Foundations of contemplative education (Doctoral thesis). University of New South Wales, Sydney, Australia. Retrieved from

Morgan, P. (2017). Per-(Me-Thou)-ability: Foundations of intersubjective experience in contemplative education. In O. Gunnlaugson, E. W. Sarath, H. Bai, & C. Scott (Eds.), The intersubjective turn in contemplative education: Shared approaches to contemplative learning & inquiry across disciplines. Albany, NY: SUNY Press.

Morgan, P., & Abrahamson, D. (2016). Cultivating the ineffable: The role of contemplative practice in enactivist learning. For the Learning of Mathematics, 36(3), 31–37.

Petitmengin, C. (2007). Towards the source of thoughts: The gestural and transmodal dimension of lived experience. Journal of Consciousness Studies, 14(3), 54–82.

Rodd, M. (2006). Commentary: Mathematics, emotion and special needs. Educational Studies in Mathematics, 63(2), 227–234.

Rothfield, P. (2009). Feeling feelings, the work of Russell Dumas through Whitehead's Process and reality. Inflexions: A Journal of Research-Creation, 2, 1–20.

Roth, W. (2012). First–person methods: Toward an empirical phenomenology of experience (Vol. 3). Rotterdam, The Netherlands: Sense Publishers.

Stelter, R. (2000). The transformation of body experience into language. Journal of Phenomenological Psychology, 31(1), 63–77.

Strauss, A. L., & Corbin., J. (1990). Basics of qualitative research: Grounded theory procedures and techniques. Newbury Park, CA.: SAGE Publications.

Varela, F. J., Thompson, E., & Rosch, E. (1991). The embodied mind: Cognitive science and human experience. Cambridge, MA: MIT Press.

Wolcott, F. (2013). On contemplation in mathematics. Journal of Humanistic Mathematics, 3(1), 74–95.