Alternative Forms of Knowing (in) Mathematics

Celebrations of Diversity of Mathematical Practices

  • Swapna Mukhopadhyay
  • Wolff-Michael Roth

Part of the New Directions in Mathematics and Science Education book series (NDMS, volume 24)

Table of contents

  1. Front Matter
    Pages i-xiv
    1. Brian Greer, Swapna Mukhopadhay, Wolff-michael Roth
      Pages 1-8
  2. Mathematics and Politics of Knowledge

    1. Front Matter
      Pages 9-15
    2. Gary Urton
      Pages 33-51
    3. Delaina Washington, Zayoni Torres, Maisie Gholson, Danny Bernard Martin
      Pages 53-69
    4. Marta Civil, Núria Planas
      Pages 71-89
  3. Ethnomathematics

    1. Front Matter
      Pages 91-96
    2. John Kellermeier
      Pages 97-113
    3. Mariana Leal Ferreira
      Pages 115-158
    4. Daniel Clark Orey, Milton Rosa
      Pages 184-203
    5. Bill Babbitt, Dan Lyles, Ron Eglash
      Pages 205-219
  4. Learning to See Mathematically

    1. Front Matter
      Pages 221-226
    2. Wolff-michael Roth
      Pages 227-245
    3. Chris Jordan
      Pages 247-259
    4. Frank Swetz
      Pages 261-275
  5. Mathematics Education for Social Justice

    1. Front Matter
      Pages 277-281
    2. Gary Urton
      Pages 283-297
    3. Swapna Mukhopadhyay, Wolff-michael Roth, Brian Greer
      Pages 313-323

About this book


This book grew out of a public lecture series, Alternative forms of knowledge construction in mathematics, conceived and organized by the first editor, and held annually at Portland State University from 2006. Starting from the position that mathematics is a human construction, implying that it cannot be separated from its historical, cultural, social, and political contexts, the purpose of these lectures was to provide a public intellectual space to interrogate conceptions of mathematics and mathematics education, particularly by looking at mathematical practices that are not considered relevant to mainstream mathematics education. One of the main thrusts was to contemplate the fundamental question of whose mathematics is to be valorized in a multicultural world, a world in which, as Paolo Freire said, “The intellectual activity of those without power is always characterized asnon-intellectual”. To date, nineteen scholars (including the second editor) have participated in the series. All of the lectures have been streamed for global dissemination at: Most of the speakers contributed a chapter to this book, based either on their original talk or on a related topic. The book is divided into four sections dealing with: • Mathematics and the politics of knowledge • Ethnomathematics • Learning to see mathematically • Mathematics education for social justice.


Paolo Freire mathematics education

Editors and affiliations

  • Swapna Mukhopadhyay
    • 1
  • Wolff-Michael Roth
    • 2
  1. 1.Portland State UniversityOregonUSA
  2. 2.Griffith UniversityMt. Gravatt,QueenslandAustralia

Bibliographic information