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Category Archives: Assessment Practices
Does the Calculus Concept Inventory Really Measure Conceptual Understanding of Calculus?
By Spencer Bagley, University of Northern Colorado; Jim Gleason, University of Alabama; Lisa Rice, Arkansas State University; Matt Thomas, Ithaca College, Diana White, Contributing Editor, University of Colorado Denver (Note: Authors are listed alphabetically; all authors contributed equally to the preparation … Continue reading
Learning Mathematics in Context with Modeling and Technology
Dr. Brian Winkel, Professor Emeritus, Mathematical Sciences, United States Military Academy, West Point NY USA and Director of SIMIODE. I cannot accept that mathematics be taught in a vacuum. Yes, mathematics is beautiful, be it pure or applied. However, in … Continue reading
Believing in Mathematics
By Benjamin Braun, Editor-in-Chief, University of Kentucky In my experience, many students in K-12 and post-secondary mathematics courses believe that: all math problems have known answers, failure and misunderstanding are absent from successful mathematics, their instructor can always find answers … Continue reading
A Framework for Integrating Conceptual and Procedural Understanding in the First Two Years of Undergraduate Mathematics
By Karen Keene and Nicholas Fortune, North Carolina State University One common instructional approach during the first two years of undergraduate mathematics in courses such as calculus or differential equations is to teach primarily analytic techniques (procedures) to solve problems and find … Continue reading
Posted in Assessment Practices, Classroom Practices
Tagged Conceptual Understanding, Differential equations, procedural knowledge
Comments Off on A Framework for Integrating Conceptual and Procedural Understanding in the First Two Years of Undergraduate Mathematics
Learning Mathematics through Embodied Activities
By Hortensia Soto-Johnson, Professor, School of Mathematical Sciences, University of Northern Colorado Those of us who teach mathematics know that students struggle writing the symbolism of mathematics even through they can articulate some of the concepts behind the symbolism. Those … Continue reading
Posted in Assessment Practices, Classroom Practices
Tagged active learning, embodied cognition, geometry, preservice teachers
1 Comment
Social Media as a Teaching Resource
By Drew Lewis, Assistant Professor, Department of Mathematics, The University of Alabama Like many mathematicians, the only formal training I have received as a teacher was in graduate school. After a one semester seminar on teaching, I was set loose … Continue reading
Don’t Count Them Out – Helping Students Successfully Solve Combinatorial Tasks
By Elise Lockwood, Contributing Editor, Oregon State University Introduction Solving counting problems is one of my favorite things to do. I love the challenge of making sense of the problem, the work of correctly modeling what I am trying to … Continue reading
Posted in Assessment Practices, Classroom Practices, Research
Tagged combinatorial model, combinatorics, counting, formulas, outcomes
1 Comment
A Beginner’s Guide to Standards Based Grading
By Kate Owens, Instructor, Department of Mathematics, College of Charleston In the past, I was frustrated with grades. Usually they told me very little about what a student did or didn’t know. Also, my students didn’t always know what topics … Continue reading
Posted in Assessment Practices, Communication
Tagged assessment, standards based grading
19 Comments
Active Learning in Mathematics, Part V: The Role of “Telling” in Active Learning
By Benjamin Braun, Editor-in-Chief, University of Kentucky; Priscilla Bremser, Contributing Editor, Middlebury College; Art Duval, Contributing Editor, University of Texas at El Paso; Elise Lockwood, Contributing Editor, Oregon State University; and Diana White, Contributing Editor, University of Colorado Denver. Editor’s … Continue reading
Active Learning in Mathematics, Part III: Teaching Techniques and Environments
By Benjamin Braun, Editor-in-Chief, University of Kentucky; Priscilla Bremser, Contributing Editor, Middlebury College; Art Duval, Contributing Editor, University of Texas at El Paso; Elise Lockwood, Contributing Editor, Oregon State University; and Diana White, Contributing Editor, University of Colorado Denver. Editor’s … Continue reading