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Tag Archives: Teaching
Using Groupworthy Tasks to Increase Student Engagement
There has been an ongoing call in mathematics education for students to be engaging in problem solving and collaborative groupwork. Although, many instructors find that when they put students in groups, some students seem disengaged and we may start to … Continue reading
Posted in Advice, Math Education, Math Teaching, Teaching
Tagged Advice, Math Education, Teaching
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Daily Quizzes: the Good, the Bad, and the Ugly—Part 1
This past semester, I decided to do something crazy—I gave my students a quiz (nearly) every day of class. You can imagine that my students weren’t nearly as excited as I was about this plan. In case you’re looking for … Continue reading
Eigenightmares, Dancing Stick Figures, and the Advantages of a Spiral Approach to Pedagogy
For my next installment on innovative teaching techniques, I’d like to dredge another demon that haunted my nights long ago—EIGENVECTORS! Normally, eigenvectors are introduced in the waning days of a firstyear linear algebra course, when students’ minds are already saturated … Continue reading
Posted in Advice, Linear Algebra, Math, Math Teaching, Teaching
Tagged Eigenvalues, Linear Algebra, Spiral Approach, Teaching
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Hookups, Dating, and Markov Chains: Teaching Matrices so that Your Students Won’t Hate Them, Part III
Having taught your students how to visualize matrix multiplication and why performing this bizarre dance of arithmetic could help make society a better place, the next logical step might be to raise a matrix to a power, say, to help your … Continue reading
Posted in Advice, Linear Algebra, Math Education, Math Teaching, Teaching
Tagged Linear Algebra, Markov Chains, Math and Romance, Teaching
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Matrices and MLK Day
When I learned how to multiply matrices in 10th grade, my initial reaction was, “Why on earth would anyone ever want to do that?” Compared to addition and subtraction, the rules of matrix multiplication seemed arbitrary and meaningless. Alas, this … Continue reading