PRESENTATIONS AND CONVICTIONS ON MATHEMATICS by future teachers of mathematics
How does mathematics function as a science? Is mathematics a rigid structure and do mathematicians move from sentence to sentence, via proof to proof? Or does mathematics function similarly to the natural sciences and do mathematicians experiment - with numbers instead of chemical substances or atomic nuclei? Is mathematical knowledge, once proven, set in stone, or can mathematicians also make mistakes? In other words: How is mathematical knowledge generated and how safe is it? Why should one worry about such questions? And what answers do (future) mathematics teachers come up with?
The lecture will present excerpts from two current research projects that deal with ideas and beliefs ("Beliefs") about mathematics. The lecture will conclude with an overview of other current and future research projects in Cologne.
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