Transreform Radical Humanism

A Mathematics and Teaching Philosophy

  • Gale Russell

Part of the Advances in Innovation Education book series (AIIE)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Gale Russell
    Pages 1-1
  3. Gale Russell
    Pages 3-35
  4. Gale Russell
    Pages 59-84
  5. Gale Russell
    Pages 85-122
  6. Gale Russell
    Pages 123-179
  7. Gale Russell
    Pages 181-189
  8. Gale Russell
    Pages 201-213
  9. Gale Russell
    Pages 227-228
  10. Gale Russell
    Pages 231-231
  11. Gale Russell
    Pages 233-234
  12. Back Matter
    Pages 235-240

About this book


In Transreform Radical Humanism: A Mathematics and Teaching Philosophy, a methodological collage of auto/ethnography, Gadamerian hermeneutics, and grounded theory is used to analyze a diverse collection of data: the author’s evolving relationship with mathematics; the philosophies of mathematics; the “math wars”; the achievement gap for Indigenous students in mathematics and some of the lessons learned from ethnomathematics; and risk education as an emerging topic within mathematics curricula. Foundational to this analysis is a new theoretical framework that envelops an Indigenous worldview and the Traditional Western worldview, acting as a pair of voices (and lenses) that speak to the points of tension, conflict, and possibility found throughout the data. This analysis of the data sets results in the emergence of a new theory, the Transreform Approach to the teaching and learning of mathematics, and in the transreform radical humanistic philosophy of mathematics. Within these pages, mathematics, the teaching and learning of mathematics, hegemony, and the valuing of different kinds of knowledge and ways of knowing collide, sometimes merge, and most frequently become transformed in ways that hold promise for students, teachers, society, and even mathematics itself. As the assumed incommensurability of worldviews is challenged, so too new possibilities emerge. It is hoped that readers will not just read this work, but engage with it, exploring the kinds of knowledge and ways of knowing that they value within mathematics and the teaching and learning of mathematics and why.


Fireflies Poetry Memory Identity Writing

Authors and affiliations

  • Gale Russell
    • 1
  1. 1.University of ReginaCanada

Bibliographic information