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To Think in a New Way in Mathematics Education

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Mathematics Education in Brazil
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Abstract

In this chapter, mathematics educators are encouraged to think about a broader conception of mathematics, one that aims towards human well-being, freedom and choice, good social relations, security, and peace of mind. It is argued that, since as mathematics educators we influence the generations that will oversee future world affairs, it is our responsibility to prepare them to shape a new civilization, in which social justice and peace with dignity are privileged. This involves a rethinking of the ways in which mathematics is taught and practiced: rather than stressing only principles and techniques, it is also important to reflect on the ethics of mathematics, its uses for good or for evil. Part of this rethinking involves reflecting on why mathematics is taught and while the declared intention is often that it will be useful for everyday life, it is also important to recognize that our most successful students may design lethal weapons or reinforce the practices of brutal capitalism. History tells us that mathematics is the dorsal spine of modern civilization, hence mathematics and mathematics education have everything to do with the state of the world. In short, this chapter considers how, in an era of increasing globalization in all sectors of society, the ethics of respect, solidarity, and cooperation might permeate all aspects of mathematics education.

We have to learn to think in a new way. … There lies before us, if we choose, continual progress in happiness, knowledge, and wisdom. Shall we, instead, choose death, because we cannot forget our quarrels? We appeal as human beings to human beings: Remember your humanity, and forget the rest. If you can do so, the way lies open to a new Paradise; if you cannot, there lies before you the risk of universal death.

The Russell-Einstein Manifesto, 1955

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Notes

  1. 1.

    This is quoted in Ken Ringle: A Professor’s Collision Course: Classics Scholar Mary Lefkowitz Shakes Up Academia with Her Critique of Afrocentrism. The Washington Post, June 11, 1996, pp. A1, A3.

  2. 2.

    http://www.nobelforpeace-summits.org/charter-for-a-world-without-violence/

  3. 3.

    http://mpe.dimacs.rutgers.edu/mpe2013-overview/ See also http://www.mpe2013.org, with very interesting links.

  4. 4.

    A detailed explanation of the project is at the site https://www.academia.edu/8500143/The_Parallel_Globe_and_the_Globo_Local_Project

  5. 5.

    https://www.youtube.com/watch?v=FbeszMeyguQ&list=RDFbeszMeyguQ#t=6

  6. 6.

    https://pugwash.org/1955/07/09/statement-manifesto/

References

  • D’Ambrosio, U. (1976). Report of the B-3 section on ‘overall goals and objectives for mathematics teaching (why do we teach mathematics?)’. In H.Athen, & H. Kunle (Eds.), Proceedings of the Third International Congress on Mathematical Education (pp. 221–230, 224). Karlsruhe, Germany:Zentralblatt für Didaktik der Mathematik.

    Google Scholar 

  • D’Ambrosio, U. (1992). Ethnomathematics: A research program on the history and pedagogy of mathematics with pedagogical implications. Notices of the American Mathematical Society, 39(10), 1183–1185.

    Google Scholar 

  • D’Ambrosio, U. (1993). Diversity and equity: An ethical behavior. In J. R. Becker, & B. J. Pence (Eds.), Proceedings of the 15th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 31–37). San José, CA: The Center for Mathematics and Computer Science, San José State University. (ERIC No. ED372917); p.31.

    Google Scholar 

  • D’Ambrosio, U. (2006). Ethnomathematics. Link between traditions and modernity. Rotterdam: Sense Publishers.

    Google Scholar 

  • D’Ambrosio, U. (2012). Mathematicians, mathematics educators and the state of the world. Journal of Research in Mathematics Education, 1(1), 5–28. https://doi.org/10.4471/redimat.2012.01

    Article  Google Scholar 

  • D’Ambrosio U. Two realities, the academia and the exterior: We have to think in a new way.In Beatriz Silva D’Ambrosio e Celi Espasandin Lopes (Editors),Creative insibordination in Brazilian mathematics education research, Raleigh, NC: Lulu Press, Inc. , 2015; pp.41–52.

    Google Scholar 

  • D’Ambrosio, U., & Almeida, M. C. (2017). Ethnomathematics and the emergence of mathematics. In The nature and development of mathematics: Cross disciplinary perspectives on cognition, learning and culture (to appear).

    Google Scholar 

  • D’Ambrosio, U., Willians, L., Travers, K. J., Black, P., El-Tom, M., Matthews, M., Nebres, B., Nemetz, T. (1993). Science, mathematics, engineering, and technology education for the 21st century. In Summer Symposium on Educating for Citizenship in the 21st Century, Final Report, July 1992. National Science Foundation, Directorate for Education and Human Resources, Division of Research, Evaluation and Dissemination, Washington, DC, 1993 [ED 373 993SE 054 763 ; NSF-94-67].

    Google Scholar 

  • Feynman, R. P., Leighton, R. B., & Sands, M. (1963). The Feynman lectures on physics (p. 3). Reading: Addison-Wesley Publishing Company.

    Google Scholar 

  • Galois, E. (1831, January). Letter published in the Gazette des Ecoles: Journal de l’Instruction Publique, de l’Université, des Séminaires, numéro 110, 2è année.

    Google Scholar 

  • Gopnik, A. (2009). The philosophical baby: What children’s minds tell us about truth, love, and the meaning of life. New York: Farrar, Straus and Giroux.

    Google Scholar 

  • Gromov, M. (1998). Possible trends in mathematics in the coming decades. Notices of the American Mathematical Society, 45(7), 846–847.

    Google Scholar 

  • Gromov, M. (2010). Interview by Martin Raussen and Christian Skau. Notices of the American Mathematical Society, 57(3), 391–403 p. 401.

    Google Scholar 

  • Hilbert, D. (1902, July). Mathematical problems. Lecture delivered before the International Congress of Mathematicians at Paris in 1900. Bulletin of the American Mathematical Society. p. 438.

    Google Scholar 

  • ICSU. (2010). Earth system science for global sustainability: The grand challenges. Paris: International Council for Science (p. 20). Retrieved from http://www.baltex-research.eu/supplementary/BSSG26/03_ICSU_Grand_Challenges_Nov2010.pdf

  • Kennedy, S. (2003). Who wants to be a millionaire? American Scientist, 91(2), 180.

    Google Scholar 

  • Moore, E. H. (1903). On the foundations of mathematics. Science, XVII(428), 401–416.

    Article  Google Scholar 

  • Paige, G. D. (2002). Nonkilling global political science (p. 30). Bloomington, IN: Xlibris.

    Google Scholar 

  • Paiva, M. F. ( 2013). A Matemática no Ensino Fundamental II: Utilizando conceitos da Astronomia como ferramenta no processo de ensino e aprendizagem. Dissertation, UNIBAN/Universidade Bandeirantes Anhanguera de São Paulo, Brasil.

    Google Scholar 

  • Papert, S. (2001, January–March). Knowledge for the Knowledge Society: A Russia-oriented perspective on technology and school. IITE Newsletter (Unesco Institute for Information Technologies in Education, pp. 1–2).

    Google Scholar 

  • Pugwash Manifesto. (1955). Pugwash conferences on science and world affairs. Retrieved from https://pugwash.org/1955/07/09/statement-manifesto/

  • Rees, M. (2013, March 8). Science editorial, 339.

    Google Scholar 

  • Reich, R. B. (1992). The work of nations: Preparing ourselves for 21st century capitalism. New York: Vintage.

    Google Scholar 

  • Stubhaug, A. (2000). The Mathematician Sophus Lie (p. 143). New York: Springer.

    Google Scholar 

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Correspondence to Ubiratan D’Ambrosio .

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D’Ambrosio, U. (2018). To Think in a New Way in Mathematics Education. In: Ribeiro, A., Healy, L., Borba, R., Fernandes, S. (eds) Mathematics Education in Brazil . Springer, Cham. https://doi.org/10.1007/978-3-319-93455-6_1

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  • DOI: https://doi.org/10.1007/978-3-319-93455-6_1

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