Category Archives: testing

Pedagogical implications of Mathematics as the art of giving the same name to different things

by Daniel Chazan, University of Maryland; William Viviani, University of Maryland; Kayla White, Paint Branch High School and University of Maryland In 2012, 100 years after Henri Poincare’s death, the magazine for the members of the Dutch Royal Mathematical Society … Continue reading

Posted in testing | 5 Comments

Active Learning and the Transformation of a Graduate Student Instructor

by Sarah Hagen Recently as a graduate student I taught a week-long boot camp for incoming mathematics graduate students at Oregon State University. It was my first foray into teaching under the active learning model and it was a completely … Continue reading

Posted in testing | Leave a comment

Starting Earlier on Lifelong Learning

By: Matt Stamps, Yale-NUS College When Yale-NUS College reviewed the curriculum for its Mathematical, Computational, and Statistical (MCS) Sciences major in the autumn of 2018, I spent several weeks reading about mathematics programs at similar institutions.  A common learning objective … Continue reading

Posted in testing | 1 Comment

Square peg in an octagonal hole

Interview with Ari Nieh, with commentary from Yvonne Lai Like many of us, I began teaching online this Spring. Unlike many of us, I began doing so at the start of the semester. I am co-teaching a class at Michigan … Continue reading

Posted in testing | Leave a comment

The Dysfunction of Functions in Abstract Algebra

Kathleen Melhuish & Kristen Lew Texas State University “[Functions] are completely different, which is what makes this course so challenging.” – Abstract Algebra Student Functions are hard for students, even students in abstract algebra courses. Even if students have seen … Continue reading

Posted in testing | 2 Comments

Action is the antidote to despair

By: Steven Klee, Seattle University After my day-to-day interactions with students, one of my favorite things about teaching is talking with other teachers.  There is no shortage of amazing teachers who are working hard to make their classes better and … Continue reading

Posted in testing | 1 Comment

Understanding in Calculus: Beyond the “Sliding Tangent Line”

By: Natalie Hobson, Sonoma State University If you give calculus students graphs, they are going to draw tangent lines. As instructors we often encourage students to rely on tangent lines so heavily that discussions about rates of change become lessons … Continue reading

Posted in testing | 5 Comments

Precise Definitions of Mathematical Maturity

[This contribution was originally posted on April 15, 2019.] By Benjamin Braun, University of Kentucky The phrase “mathematically mature” is frequently used by mathematics faculty to describe students who have achieved a certain combination of technical skills, habits of investigation, … Continue reading

Posted in testing | 1 Comment

The Crisis in American Education

  The Crisis in American Education John Ewing American education is in crisis… I’m told. Want evidence? Look on the Internet. Search for “education crisis in America” and you will find millions of articles, essays, and (yes) blogs, all describing, … Continue reading

Posted in testing | 6 Comments

Precise Definitions of Mathematical Maturity

By Benjamin Braun, University of Kentucky The phrase “mathematically mature” is frequently used by mathematics faculty to describe students who have achieved a certain combination of technical skills, habits of investigation, persistence, and conceptual understanding. This is often used both … Continue reading

Posted in testing | 1 Comment