Alternative Forms of Knowing (in) Mathematics

Celebrations of Diversity of Mathematical Practices

Series: 

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 as non-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: http: //www. media. pdx. edu/dlcmedia/events/AFK/ Most of the speakers contributed a chapter to this book, based either on their original talk or on a related topic.

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Contemporary Indigenous Education
Thoughts for American Indian Education in a 21st-Century World
Pages: 33–51
Whose Language is it?
Reflections on Mathematics Education and Language Diversity from Two Contexts
Pages: 71–89
Consulting the Divine
The (Ethno)mathematics of Divination
Pages: 97–113
Map-Making in São Paulo, Southern Brazil
Colonial History, Social Diversity, and Indigenous Peoples’ Rights
Pages: 115–158
In Seeking a Holistic Tool for Ethnomathematics
Reflections on Using Ethnomodeling as a Pedagogical Action for Uncovering Ethnomathematical Practices
Pages: 183–203
From Ethnomathematics to Ethnocomputing
Indigenous Algorithms in Traditional Context & Contemporary Simulation
Pages: 205–219
Running the Numbers
A Conversation
Pages: 247–259
To Know How to See
The Realities of Learning and Teaching Mathematics
Pages: 261–275
Epilogue
Why Bother about Diversity of Mathematical Practices?
Pages: 313–323
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.
Educational Researchers and their students
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