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Fourth International Conference
on Ethnomathematics – ICEm4

Towson, Maryland, USA, July 25-30, 2010




                Maria do Carmo S. Domite
                Robert D. Pohl
                Brasil
The focus



Indigenous teacher education
Specifically…


The encounter of non-indigenous teacher educator and
  indigenous teacher: the invisibility of the challenges.
Motivation and Mission
!"Over the lifetime of PME, the world has changed, and so
 have schools and classrooms. !

!In many parts of the world, teachers—mathematics
 teachers—are facing the challenges of teaching in
 multiethnic and multilingual classrooms containing
 immigrant, indigenous, migrant, and refugee children, !


!and if research is to be useful it has to address and help us
 understand such challenges.”!
                                               (GATES, 2006)!
Motivation and Mission


  ...pre-occupation and pre-disposition from both
 indigenous and non-indigenous groups towards
 the preservation and comprehension of culture
 within the scope of cross-cultural and school
 education.
Motivation (Legislative history)
                 União das Nações
                     Indígenas
                     UNI 1980
                          e
           Organização das Nações Unidas
             para a Educação, a Ciência
                     e a Cultura
                      UNESCO
A view of the presence of indigenous
peoples in Brazil
A view of the presence of indigenous
peoples in the State of Sao Paulo - Brazil


                      •!   Guarani villages - 15
                      •!   Kaingang villages - 02
                      •!   Krenak village- 01
                      •!   Terena villages- 04
                      •!   Tupi villages – 07
A brief history
Since the end of the XX Century, the Brazilian
  indigenous peoples were part of a more scholarly
  education movement, taking over the school of the
  villages.

I have been involved in this political and educational
   movement as a teacher educator of the indigenous
   group in the State of São Paulo.
Introduction
 From 2001 to 2009, in a partnership of the College
 of Education of the University of São Paulo and
 the State Secretary of Education, I have
 coordinated the Indigenous Teacher Education
 Program of the State of São Paulo.

 From 2001 to 2003 - a High School level Teacher
 Course

 From 2005 to 2009 - the Intercultural
 Undergraduate Indigenous Teacher Course
 81 indigenous student-teachers from 5 different
 ethnic groups
What I have learnt...
What I have learnt as an indigenous teacher
 educator external to the indigenous culture…

   ... perspectives we need to focus: looking in
   from the outside

   ... challenges we need to face: seeing the
   invisible
Perspectives
The proposals for indigenous education have as
  perspectives that the teacher educators:

•! listen, understand and orient the indigenous teacher
   in light of the needs and solutions of the indigenous
   community’s essential problems;

•! incorporate other information, already elaborated
   knowledges, techniques and theories in order to help
   the indigenous teacher to operate the understanding
   of reality.

    Grupioni   (2003),     Monte    (1999),   Ferreira-Sebastiani(2004),
  Ferreira_Kawall (2002); Barton & Alangui (2004)
Challenges
In particular in the scope of mathematics education, the
   mentioned perspectives have placed us face to face with
   challenges of different orders:



•!   Social
•!   Cultural
•!   Political
•!   Epistemological
•!   Pedagogical
CHALLENGE: two positions ...
Challenge 1: socio-political order
The taking into account the group’s culture in the
   scholar work has different positions
One position prefers:
To reject the incorporation of previous/cultural
   knowledge in the curricula: no cultural
   mathematics/ethnomathematics whatsoever.
   (South African radical position - Horsthemke &
   Schäfer, 2006)
To the other one:
It’s not possible to develop someone isolated from
   their cultural context. One's culture are one's roots
   (D'Ambrosio)
CHALLENGE: the “listening” of the
indigenous teacher educators ...
CHALLENGE: The “asking” of the
indigenous teachers...
CHALLENGE: Dialogue
Indigenous teacher educator’s    Indigenous teacher’s
   underdeveloped                out of sight asking
   listening




 And the so waited for dialogical process between
 indigenous teachers and teacher educators cannot
 be established
CHALLENGE: Transdisciplinarity vs
Disciplinarity
CHALLENGE: Transdisciplinarity vs
Disciplinarity
At the same time we look for an interaction with the
  indigenous teachers in order to perceive their
  knowledges and codes – respecting their
  transdisciplinary way of building
  knowledge...

... since we have only looked at knowledges through
    only one discipline, we run the risk of inserting
    them into our disciplinary categories
The invisibility of the challenges
Surely there are many other challenges that are not
  so visible as those we just saw when we as
  indigenous teachers educators have the following
  perspectives:

•! To listen, understand and orient the indigenous
   teacher in light of their needs
•! To incorporate other information in order to help
   the indigenous teacher to operate the
   understanding of reality
To sum up, as teacher educators external to the
  indigenous culture, we recognize the permanent
  need to:

•! constantly problematize our ways of thought;
•! have a wider focus upon the values of the society
   being thought… looking at its rationality, terms,
   points of view, systems of representation, modes
   of classification, among others;
•! question the role and the meaning of the scientific
   knowledge;
•! recognize the difference as a positive factor.
My focus in terms of research...
   Specifically on the “listening” of the mathematics
   educator, external to the indigenous teacher
   culture...

Research questions:

1.! How much we as indigenous teacher educators
    are capable of transcending these empirical
    arguments?
2.! What kind or procedures/attitudes are involved in
    these transcendent processes?
Thank you

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The encounter of non-indigenous teacher educator and indigenous teacher: the invisibility of the challenges

  • 1. Fourth International Conference on Ethnomathematics – ICEm4 Towson, Maryland, USA, July 25-30, 2010 Maria do Carmo S. Domite Robert D. Pohl Brasil
  • 3. Specifically… The encounter of non-indigenous teacher educator and indigenous teacher: the invisibility of the challenges.
  • 4. Motivation and Mission !"Over the lifetime of PME, the world has changed, and so have schools and classrooms. ! !In many parts of the world, teachers—mathematics teachers—are facing the challenges of teaching in multiethnic and multilingual classrooms containing immigrant, indigenous, migrant, and refugee children, ! !and if research is to be useful it has to address and help us understand such challenges.”! (GATES, 2006)!
  • 5. Motivation and Mission ...pre-occupation and pre-disposition from both indigenous and non-indigenous groups towards the preservation and comprehension of culture within the scope of cross-cultural and school education.
  • 6. Motivation (Legislative history) União das Nações Indígenas UNI 1980 e Organização das Nações Unidas para a Educação, a Ciência e a Cultura UNESCO
  • 7. A view of the presence of indigenous peoples in Brazil
  • 8. A view of the presence of indigenous peoples in the State of Sao Paulo - Brazil •! Guarani villages - 15 •! Kaingang villages - 02 •! Krenak village- 01 •! Terena villages- 04 •! Tupi villages – 07
  • 9. A brief history Since the end of the XX Century, the Brazilian indigenous peoples were part of a more scholarly education movement, taking over the school of the villages. I have been involved in this political and educational movement as a teacher educator of the indigenous group in the State of São Paulo.
  • 10. Introduction From 2001 to 2009, in a partnership of the College of Education of the University of São Paulo and the State Secretary of Education, I have coordinated the Indigenous Teacher Education Program of the State of São Paulo. From 2001 to 2003 - a High School level Teacher Course From 2005 to 2009 - the Intercultural Undergraduate Indigenous Teacher Course 81 indigenous student-teachers from 5 different ethnic groups
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  • 19. What I have learnt... What I have learnt as an indigenous teacher educator external to the indigenous culture… ... perspectives we need to focus: looking in from the outside ... challenges we need to face: seeing the invisible
  • 20. Perspectives The proposals for indigenous education have as perspectives that the teacher educators: •! listen, understand and orient the indigenous teacher in light of the needs and solutions of the indigenous community’s essential problems; •! incorporate other information, already elaborated knowledges, techniques and theories in order to help the indigenous teacher to operate the understanding of reality. Grupioni (2003), Monte (1999), Ferreira-Sebastiani(2004), Ferreira_Kawall (2002); Barton & Alangui (2004)
  • 21. Challenges In particular in the scope of mathematics education, the mentioned perspectives have placed us face to face with challenges of different orders: •! Social •! Cultural •! Political •! Epistemological •! Pedagogical
  • 22. CHALLENGE: two positions ... Challenge 1: socio-political order The taking into account the group’s culture in the scholar work has different positions One position prefers: To reject the incorporation of previous/cultural knowledge in the curricula: no cultural mathematics/ethnomathematics whatsoever. (South African radical position - Horsthemke & Schäfer, 2006) To the other one: It’s not possible to develop someone isolated from their cultural context. One's culture are one's roots (D'Ambrosio)
  • 23. CHALLENGE: the “listening” of the indigenous teacher educators ...
  • 24. CHALLENGE: The “asking” of the indigenous teachers...
  • 25. CHALLENGE: Dialogue Indigenous teacher educator’s Indigenous teacher’s underdeveloped out of sight asking listening And the so waited for dialogical process between indigenous teachers and teacher educators cannot be established
  • 27. CHALLENGE: Transdisciplinarity vs Disciplinarity At the same time we look for an interaction with the indigenous teachers in order to perceive their knowledges and codes – respecting their transdisciplinary way of building knowledge... ... since we have only looked at knowledges through only one discipline, we run the risk of inserting them into our disciplinary categories
  • 28. The invisibility of the challenges Surely there are many other challenges that are not so visible as those we just saw when we as indigenous teachers educators have the following perspectives: •! To listen, understand and orient the indigenous teacher in light of their needs •! To incorporate other information in order to help the indigenous teacher to operate the understanding of reality
  • 29. To sum up, as teacher educators external to the indigenous culture, we recognize the permanent need to: •! constantly problematize our ways of thought; •! have a wider focus upon the values of the society being thought… looking at its rationality, terms, points of view, systems of representation, modes of classification, among others; •! question the role and the meaning of the scientific knowledge; •! recognize the difference as a positive factor.
  • 30. My focus in terms of research... Specifically on the “listening” of the mathematics educator, external to the indigenous teacher culture... Research questions: 1.! How much we as indigenous teacher educators are capable of transcending these empirical arguments? 2.! What kind or procedures/attitudes are involved in these transcendent processes?