-
Recent Posts
Now Publicizing on Twitter
Tweets by hatton_jimArchives
- December 2023
- June 2023
- February 2023
- May 2022
- March 2022
- October 2021
- September 2021
- August 2021
- July 2021
- June 2021
- April 2021
- January 2021
- June 2020
- April 2020
- February 2020
- December 2019
- November 2019
- October 2019
- July 2019
- June 2019
- May 2019
- March 2019
- February 2019
- January 2019
- December 2018
- November 2018
- August 2018
- July 2018
- June 2018
- May 2018
- April 2018
- February 2018
- January 2018
- November 2017
- September 2017
- May 2017
- April 2017
- March 2017
- February 2017
- January 2017
- December 2016
- November 2016
- October 2016
- August 2016
- May 2016
- March 2016
- February 2016
- January 2016
- December 2015
- November 2015
- September 2015
- July 2015
- June 2015
- April 2015
- March 2015
- February 2015
- January 2015
- December 2014
- November 2014
- October 2014
- September 2014
- August 2014
- July 2014
- June 2014
- May 2014
- April 2014
- March 2014
- February 2014
- January 2014
- December 2013
- November 2013
- October 2013
- September 2013
- August 2013
- July 2013
- June 2013
- May 2013
- April 2013
- March 2013
- February 2013
- January 2013
- December 2012
- November 2012
- October 2012
- September 2012
- August 2012
- July 2012
- June 2012
- May 2012
- April 2012
- March 2012
- February 2012
- January 2012
- December 2011
- November 2011
- October 2011
- September 2011
- August 2011
- July 2011
- June 2011
- May 2011
- April 2011
- March 2011
- February 2011
- January 2011
- December 2010
- November 2010
- October 2010
- September 2010
- August 2010
Categories
Page Names
Meta
Monthly Archives: December 2011
The Best Way to Factor Trinomials
Warning to all beginning algebra students: The answers you get using this method will not be the same as those in your text nor what your math instructor expects to see, but they will be correct and more useful. You … Continue reading
Posted in Uncategorized
17 Comments
Grading with Red Pens
Nick Chura in a comment to this post cited this paper, The pen is mightier than the word: Objective priming of evaluative standards by A.M. Rutchick, M.L.Slepian, and B.D. Ferris (RSF). As I read the pit there are two issues. … Continue reading
Posted in Uncategorized
Leave a comment
Solving Equations as Proofs
On a test, a student wrote for this problem: . I gave him a little bit of credit since that was the correct answer. I assumed that he had guessed the answer and checked it mentally. If he had shown … Continue reading
Posted in Uncategorized
Leave a comment
Fast Algebra Techniques
At some point a math student needs to move from learning algebra to doing algebra. Many techniques that students learn are designed to facilitate a person’s understanding and remembrance of algebraic processes and are not optimized for efficiency or speed. … Continue reading
Posted in Uncategorized
10 Comments
Grading Tests – Ego Depletion (Mental Energy)
I am on page 43 of Kahneman’s book. He states there that high levels of concentration by what he calls System 2 of the brain causes ego depletion and actually drains a body’s physical resources (glucose). Some researchers studied eight … Continue reading
I Calculate the Digits of Pi – Very Slowly – Reprise
This post somehow got lost a year ago. I am reposting it here. Years ago I wrote an assembly language routine that drew circles with a pen plotter. This entailed approximating the arc of a circle with a series of … Continue reading
Posted in Cool Ideas, Math and Me, Math Explorations
Leave a comment
Resemblance Heuristics and Bayesian Analysis
I have just started reading Daniel Kahneman’s book Thinking, Fast and Slow. In the introduction he gives this example (my précis). Steve is neat and orderly and good with detail. Is he more likely to be a farmer or … Continue reading
Posted in Curriculum, Popular Press Explorations, Teaching
Leave a comment
An Ancient Problem
I ran across this problem on page 90 in Mathematics in Historical Context by Jeff Suzuki: Find the length of the side of a equilateral pentagon inscribed in a square with one vertex coinciding with a corner of the square. … Continue reading
Posted in Math Explorations
Leave a comment
What We Test For
Almost all exams in mathematics courses up through the calculus sequence are composed of a series of problems for students to work. These questions are generally much less problems than exercises. The idea is for our students to demonstrate that … Continue reading
Posted in Curriculum, Pedagogy, Teaching
Leave a comment