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Author Archives: msaul
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
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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
Everyone Can Learn Mathematics to High Levels: The Evidence from Neuroscience that Should Change our Teaching
By Jo Boaler, Professor of Mathematics Education, Stanford University, and co-founder of youcubed.org (This is the first of two of our most popular Blog posts that we repeat for the month of July. ) 2018 was an important year for … Continue reading
Two More Teaching Vignettes
For this month’s blog post, I offer two more vignettes from my classroom experience. My intention, as in the last column, is to communicate what I think of as the essence of teaching, which is the emotional—not just intellectual—bond between … Continue reading
Two Teaching Vignettes
As the Spring term ends, I thought I’d share with readers two vignettes from my teaching career. The intention is for us to remember how much of teaching is the emotional connection between student and teacher. For me, this is … Continue reading
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
MATHEMATICS: GATEKEEPER OR GATEWAY?
Some recent writers on mathematics education have been talking about mathematics as a field enjoying ’unearned privilege’ as a ‘gatekeeper’ in our society. The more I think about it, the less sense this makes. For some writers, the reference may … Continue reading
On Being Imperfect
By Gizem Karaali, Pomona College I have a secret: For the last year or so, my nine-year-old daughter and I have been trying to develop a meditation practice. This guy, Andy, who leads us daily through meditation sessions facilitated by … Continue reading
My “First” Mathematical Problem and What It Means
I am inspired, by several previous blog entries, to write about my own mathematical awakening, and what I’ve learned from reflecting on it. I went to New York City Public Schools, in the Bronx. I always enjoyed arithmetic and mastered … Continue reading
FROM THE (NEW) EDITOR
Greetings to all readers of the AMS Blog on Teaching and Learning Mathematics! As editor for this blog for the coming year, I would like to invite you to continue its lively and meaningful conversation, of the quality that has … Continue reading
