Author: congruentthoughts

Not a Math Person

Not a Math Person? Do you hear this, in one form or another, from your students?  Or, do you think that about yourself?  If so, I suggest you read the following - Living Proof: Stories of Resilience Along the Mathematical Journey which is a free download from the Mathematical Association of America.  The book … Continue reading Not a Math Person


First of all, most of the courses I teach are fully online, and most of my students are graduate students who ‘attend’ our university while juggling their full-time jobs as teachers and about half are parents too.  Expecting them to place my courses as their highest priority every day is unrealistic Most of these K-12 … Continue reading THOUGHTS ON THE NEW SCHOOL YEAR – 2020

Sense-making and reasoning in the time of Corona Part II

In a recent blog post I urged teachers to focus on developing students’ sense-making and reasoning skills rather than adding new content.  I shared some personal favorites tools for doing this and today I would like to share a few more. is a teacher run blog that asks students to solve visual puzzles such … Continue reading Sense-making and reasoning in the time of Corona Part II


When I taught my first class in the 1960’s, my methods instructor and assigned classroom teacher gave me few directions, so I taught as I remember being taught when I was in high school. I lectured, I thought telling/showing was teaching, and I assigned lots of homework problems. Times have changed, thank goodness.  Brain and … Continue reading Mindset