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THE FIELDS
INSTITUTE FOR RESEARCH IN MATHEMATICAL SCIENCES
20th
ANNIVERSARY
YEAR
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FIELDS
MATHED FORUM MEETING
(joint meeting with the Fields
Cognitive Science Network)
March
23, 2013
at 10 am- 2 pm
Fields Institute,
222 College Street, Toronto
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PROGRAM
10:00 - 10:10am Reports: OAME, OMCA, OCMA, CMESG, CMS, and other.
10:10 am - 11:00 am
Dragana Martinovic (U. of Windsor)
Digital Technologies and Mathematical Minds
Abstract: This talk is about the different roles that technologies have or
might have in learning and doing mathematics. Digital technologies extend
our bodies and minds, and may serve as powerful educational tools. However,
it is not clear how do technologies (digital and other) affect learning and
doing of mathematics, how do they shape mathematics discovery and what are
their implications for epistemology. Can there be a good fit between digital
technologies and mathematical minds?
Biography: Dragana is an Associate Professor and a Research Leadership Chair
at the Faculty of Education and a Director of the Human Development Technologies
Research Group. In her research, Dragana explores how humans work, learn,
and develop with technologies. Specifically to mathematics education, Dragana
investigates opportunities and limitations for learning and doing mathematics
in educational environments that include various technological means.
11 am - 12:00 pm
Brent Davis (U. of Calgary):
Where Mathematics Curriculum Comes From
Abstract: I look at some of the historical, political, and epistemological
influences that have helped to shape programs of study for school mathematics.
In the process, I address matters of how those contents of mathematics curricula
are selected, how programs of study are developed, why they are so resistant
to change, and some of the evolutions to content strands and pedagogy that
might be on the horizon.
Biography: Brent Davis is Professor and Distinguished Research Chair in Mathematics
Education in the Faculty of Education. Brent is known for his work on the
educational relevance of recent developments in the cognitive and complexity
sciences. The principal foci of his research are teachers' disciplinary knowledge
of mathematics and the sorts of structures and experiences that might support
mathematics learning among teachers.
12:00 - 1:00 pm LUNCH BREAK
(Light refreshments provided)
1:00 - 2:00 pm AFTERNOON PROGRAM
1:00 pm - 2:10 pm
Louis H. Kauffman (U. of Chicago):
Logical Connection and Topological Connection
Abstract: Topology began with simple problems like Euler's problem about
the Bridges of Konigsburg, and it was discovered that by making a logical
and topological image of this structure (the graph as topological graph) one
opened up new worlds of mathematics and applications of mathematics. The theme
that gave rise to both graph theory and topology was the theme of imaging
logical connections in topological structures. This talk will discuss the
many aspects in which geometry, topology, diagrams and iconic representations
are central to our conceptualization and understanding of mathematics.
Biography: Louis Hirsch Kauffman is a professor in the Department of Mathematics,
Statistics, and Computer science at the University of Illinois at Chicago.
He is the founding editor and one of the managing editors of the Journal of
Knot Theory and Its Ramifications, and editor of the World Scientific Book
Series on Knots and Everything. He writes a column entitled Virtual Logic
for the journal Cybernetics and Human Knowing. From 2005 to 2008 he was president
of the American Society for Cybernetics.
2:10 pm – 2:30 pm Break and farewell
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