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Arithmetic: Math As 'Pure' And 'Applied', Sunil Chetty
Arithmetic: Math As 'Pure' And 'Applied', Sunil Chetty
Forum Lectures
One often hears mathematics classified into two categories: pure or applied, abstract or concrete, elementary or modern. We explore how arithmetic can dismantle such highly artificial distinctions. More specifically, we play with tiles and draw pictures to highlight how arithmetic can be both good mental exercise and a very useful tool for modern communication.
The Nature And Nurture Of Intuition, Thomas Q. Sibley
The Nature And Nurture Of Intuition, Thomas Q. Sibley
Forum Lectures
Are people just innately good at mathematics or not? My teaching experience suggests mathematical ability is not just fate: Students develop their mathematical abilities by doing mathematics. In particular we discuss geometric intuition, its connection with geometric reasoning and the possibility of developing them, using examples to get the listeners actively thinking about their own geometric thinking.
What Mathematics Do Elementary Education Teachers Need To Know?, Bret Benesh
What Mathematics Do Elementary Education Teachers Need To Know?, Bret Benesh
Forum Lectures
Almost no one is happy with the state of America's mathematics education. I examine the mathematics textbooks elementary education majors commonly use in college to determine what effect this might be having on their future elementary school students. In this Thursday Forum, I report on what I found in these textbooks---and why I do not like them. I then supply an alternative vision that would better serve our elementary school students.