Mathematics underpins much of the scientific and technological progress of modernity. This workshop will bring together experts to study the conceptual and neurological basis of mathematical thought and creativity, different aspects of which are associated with brain structures evolved for different purposes. We will explore links to machine learning, which plays a critical role as a model for cognition, as well as cognitive psychology, neuroscience, philosophy and pure and applied mathematics.

At this workshop, we will target discussions at forming new interdisciplinary collaborations and formulating concrete research questions with a view towards major grant applications in the ARC Discovery and linkage programmes, among others. Expected benefits arising from such collaborations include machine learning improvements, computer assistance for mathematical research and other high-level cognitive tasks, and improved insight into mathematics education at all levels.

Themes represented at this workshop include:

  • the cognitive foundations of mathematical thinking, such as the theory of Embodied Mathematics. Prof. Rafael Núñez, one of the founders of this theory, will present a keynote talk.
  • the relationship between mathematical thinking and dance, as well as other physical and creative forms of expression. A workshop on mathematical dance will be presented by keynote speakers Erik Stern and Rachel Bachman.
  • the relationship between mathematical thinking and critical thinking. A keynote talk on critical thinking will be presented by Peter EllertonDOWNLOAD
  • the neurological foundations of mathematical thinking (keynote speaker Joel Pearson).
  • applications of machine learning, computer experimentation and visualisation to mathematical thinking and vice versa. A keynote lecture will be presented by Veselin Jungic.
  • the broader applications of mathematical thinking in education and its significance to the general public. The opening keynote address will be given by renowned author and public outreach expert Keith Devlin.
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