“The best math questions all have the same answer: ‘It depends.'”
From a Twitter thread on telling the difference between an equation and an identity in the algebra classroom came this tweetstorm. For me, the question raises issues of our own expert blind spots, mathematical communication and tacit knowledge, and a way in which category theory can help us be more humble about students’ common “errors.” Continue reading “Equations, Identities, and #WhoSaysMath”
This interactive video and set of resources was developed to support a faculty workshop offered by the Massachusetts Department of Higher Education in 2019. Special thanks to Robert Awkward, DHE’s Director of Learning Outcomes Assessment, for organizing and providing financial and logistical support for these workshops; and to Mary-Ann Winkelmes, Director of Teaching and Learning at Brandeis University, for co-facilitating the workshops by engaging participants in designing transparent assignments. Continue reading “Grow Up, Branch Out: Quantitative Literacy for the 21st Century”
Looking for a way to keep all those convergence tests for infinite series straight? Looking for a cultural reference that some of your calculus II students will still find timely and relevant for a few more years? Look no further than the infinite series sorting hat.
For majors in mathematics and the sciences, success in their college degree plans is particularly impacted by their experiences in their first year. STEM majors who have a negative first contact with required STEM courses are at disproportionate risk of abandoning their major — or abandoning college altogether. So a little assistance in that first year goes a long way toward keeping students on track to successful completion of their degree. Supplemental instruction, and peer-cooperative learning programs like it, have proven to be an effective form of such assistance. Continue reading “Supplemental Instruction: Resources and Links”