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Ongoing Advancements in Philosophy of Mathematics
Education approaches the philosophy of mathematics education
in a forward movement, analyzing, reflecting, and proposing
significant contemporary themes in the field of mathematics
education. The theme that gives life to the book is philosophy of
mathematics education understood as arising from the intertwining
between philosophy of mathematics and philosophy of education
which, through constant analytical and reflective work regarding
teaching and learning practices in mathematics, is materialized in
its own discipline, philosophy of mathematics education. This is
the field of investigation of the chapters in the book. The
chapters are written by an international cohort of authors, from a
variety of countries, regions, and continents. Some of these
authors work with philosophical and psychological foundations
traditionally accepted by Western civilization. Others expose
theoretical foundations based on a new vision and comprising
innovative approaches to historical and present-day issues in
educational philosophy. The final third of the book is devoted to
these unique and innovative research stances towards important and
change resistant societal topics such as racism, technology gaps,
or the promotion of creativity in the field of mathematics
education.Â
Creativity of an Aha! Moment and Mathematics Education introduces
bisociation, the theory of Aha! moment creativity into mathematics
education. It establishes relationships between Koestler's
bisociation theory and constructivist learning theories. It lays
down the basis for a new theory integrating creativity with
learning to describe moments of insight at different levels of
student development. The collection illuminates the creativity of
the eureka experience in mathematics through different lenses of
affect, cognition and conation, theory of attention and
constructivist theories of learning, neuroscience and computer
creativity. Since Aha! is a common human experience, the book
proposes bisociation as the basis of creativity for all. It
discusses how to facilitate and assess Aha! creativity in
mathematics classrooms. Contributors are: William Baker, Stephen
Campbell, Bronislaw Czarnocha, Olen Dias, Gerald Goldin, Peter
Liljedahl, John Mason, Benjamin Rott, Edme Soho, Hector Soto,
Hannes Stoppel, David Tall, Ron Tzur and Laurel Wolf.
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