Skip to main content
SpringerLink
Log in

Transreform Radical Humanism

A Mathematics and Teaching Philosophy

  • Book
  • © 2017

Overview

Authors:
  1. Gale Russell

    1. University of Regina, Canada

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Fireflies is a book about how writing poetry can help us explore memory and identity, and it is also a book of poetry that explores memory and identity.
  • This work is an example of the “liminal” scholarship advocated in The Need for Revision (Owen Jr., 2011), occupying a space in the academic world’s “windows and doorways,” not exactly in any one field but rather in the “spaces-between where the inside and outside commingle”; it seeks to trouble the boundaries between teacher and writer, critic and artist, writer and reader, and teacher and student in a way from which all parties might benefit.
  • Fireflies aims for a different kind of scholarship, and hopes to offer new ways for teachers to be professional and academic.

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (15 chapters)

  1. Front Matter

    Pages i-xv
    Download chapter PDF

  2. Mathematics and Me

    • Gale Russell
    Pages 1-1

  3. Preface

    • Gale Russell
    Pages 3-35

  4. Contrasting Worldviews and the Emergence of a Theoretical Framework

    • Gale Russell
    Pages 37-58

  5. Methodology and Methods

    • Gale Russell
    Pages 59-84

  6. Analysis of My Story

    • Gale Russell
    Pages 85-122

  7. Philosophies of Mathematics

    • Gale Russell
    Pages 123-179

  8. The Math Wars

    • Gale Russell
    Pages 181-189

  9. Indigenous Students in Relation to Mathematics and Ethnomathematics

    • Gale Russell
    Pages 191-199

  10. Risk and Risk Education

    • Gale Russell
    Pages 201-213

  11. Research Possibilities for My Theoretical Framework

    • Gale Russell
    Pages 215-223

  12. Reflections on My Choice of Data Sources and Methodologies

    • Gale Russell
    Pages 225-226

  13. Reflections

    • Gale Russell
    Pages 227-228

  14. Moving Forward with the Transreform Approach

    • Gale Russell
    Pages 229-230

  15. Asking Questions

    • Gale Russell
    Pages 231-231

  16. Coda

    • Gale Russell
    Pages 233-234

  17. Back Matter

    Pages 235-240
    Download chapter PDF
Back to top

Keywords

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.

Authors and Affiliations

  • University of Regina, Canada

    Gale Russell

Bibliographic Information

  • Book Title: Transreform Radical Humanism

  • Book Subtitle: A Mathematics and Teaching Philosophy

  • Authors: Gale Russell

  • Series Title: Advances in Innovation Education

  • DOI: https://doi.org/10.1007/978-94-6351-074-5

  • Publisher: SensePublishers Rotterdam

  • eBook Packages: Education, Education (R0)

  • Copyright Information: SensePublishers-Rotterdam, The Netherlands 2017

  • eBook ISBN: 978-94-6351-074-5Published: 24 August 2017

  • Edition Number: 1

  • Number of Pages: CCXLII, 16

  • Topics: Education, general

Publish with us

Policies and ethics

Back to top

Search

Navigation