PROCEEDINGS OF THE 21ST ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION
2018
San Diego, California
Essential Aspects of Mathematics as a Practice in Research and Undergraduate Instruction
Page: 1619
A gap between mathematics as used by mathematicians and mathematics as experienced by undergraduate mathematics students has persistently been identified as problematic; A commonly proposed solution is to provide opportunities for students to do mathematics and be mathematicians (e.g., Whitehead, 1911; Harel, 2008). Conceptions or beliefs about what this means may vary depending on a mathematician’s research and experience. The authors explore mathematicians’ expressed conceptions of mathematics in their research and in their teaching.