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Category Archives: Math 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
3 Comments
Applying the InquiryOriented Approach in teaching Math Courses
The InquiryOriented (IO) Approach and Advanced Mathematical Thinking (AMT) processes play an important role in improving undergraduate math education. IO approach and AMT processes act as a new movement of modern math education based on the methods used in math … Continue reading
Posted in Math Education, Math Teaching, Teaching
Tagged Math Education, Teaching Mathematics, The InquiryOriented Approach
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The Role of Generalization in Advanced Mathematical Thinking
Generalization and abstraction both play an important role in the minds of mathematics students as they study higherlevel concepts. In the second chapter of the Springer book Advanced Mathematical Thinking, Tommy Dreyfus defines generalization as the derivation or induction from something particular to something … Continue reading
Posted in Advice, General, Math Education, Math Teaching, Teaching, Technology & Math
Tagged Advanced Mathematical Thinking, Generalization, Math Education, Math Teaching
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Infinity Elephants and Gabriel’s Horn
Guest Author: Brian Hook Vi Hart’s Doodling in Math Class: Infinity Elephants is a fun little video that brushes over many mathematical concepts without getting bogged down in technical jargon. Vi, a prolific recreational mathematician who also contributes heavily to Khan Academy, … 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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