Comments for On Teaching and Learning Mathematics
https://blogs.ams.org/matheducation
Sat, 12 Jan 2019 17:13:10 +0000hourly1https://wordpress.org/?v=4.9.9Comment on Inverse Functions: We’re Teaching It All Wrong! by PN
https://blogs.ams.org/matheducation/2016/11/28/inverse-functions-were-teaching-it-all-wrong/#comment-699
Sat, 12 Jan 2019 17:13:10 +0000http://blogs.ams.org/matheducation/?p=1469#comment-699When I teach anything involving variables, I tend to avoid x and y at first in favor of geometric shape symbols like stars or circles or squares or, even, emojis. The point is to understand the concept of variable independently from name. [Mathematica really does a good job of this, emphasizing functions as pattern matching of the left side of a replacement rule and then substitution following the right hand side of the rule . The rule can contain “slots” as independent variables and the sole purpose of naming those slots on the left hand side is to be able to distinguish between them on the right hand side.] I don’t however bring up Mathematica. After awhile, students get tired of drawing emojis or stars and start on their own to use X and Y for convenience of quick writing, but sometimes revert back to “star” or “circle” when they get confused.
]]>Comment on Student Evaluations Ratings of Teaching: What Every Instructor Should Know by Braden Bills
https://blogs.ams.org/matheducation/2017/04/17/student-evaluations-ratings-of-teaching-what-every-instructor-should-know/#comment-697
Sat, 29 Dec 2018 17:02:40 +0000http://blogs.ams.org/matheducation/?p=1670#comment-697It makes sense that evaluating teachers would be important. That way you can determine how well someone teaches! You want to ensure that teachers are using the right methods. https://www.observe4success.com/product.html
]]>Comment on What is Early Math and Why Should We Care? by annieclarie
https://blogs.ams.org/matheducation/2015/11/10/what-is-early-math-and-why-should-we-care/#comment-696
Thu, 20 Dec 2018 06:19:40 +0000http://blogs.ams.org/matheducation/?p=1038#comment-696Nice article,Thanks for posting this much of information.
]]>Comment on A Physicist’s Lament by john Oberman
https://blogs.ams.org/matheducation/2018/12/01/a-physicists-lament/#comment-695
Sun, 09 Dec 2018 07:22:02 +0000http://blogs.ams.org/matheducation/?p=2294#comment-695Shalom Yehuda,
So important and after 60 years of teaching mainly mathematics realize that there has not been any real change in mathematics curricula and how people see mathematics.
For me mathematics has always been a creative subject and as such demands different styles of learning and teaching- mathematics as a creation of the the human mind.Maybe we should only allow teachers to teach mathematics after a higher education in Art and the Arts.
Johnny Oberman
]]>Comment on A Physicist’s Lament by Judah L Schwartz
https://blogs.ams.org/matheducation/2018/12/01/a-physicists-lament/#comment-694
Sat, 08 Dec 2018 11:53:07 +0000http://blogs.ams.org/matheducation/?p=2294#comment-694Shalom Nitsa,
Thanks for sharing my blog with others. …and also thanks for pointing me to the Math News site. I will study it carefully. You may be able to use some of the applets on my MathMindHabits website to illustrates some of the Math News presentations.
]]>Comment on A Physicist’s Lament by Nitsa Movshovitz-Hadar
https://blogs.ams.org/matheducation/2018/12/01/a-physicists-lament/#comment-693
Fri, 07 Dec 2018 21:53:34 +0000http://blogs.ams.org/matheducation/?p=2294#comment-693Dear Judah
I enjoyed reading it and shared with many in Israel.
Enabling teachers to give students a taste of the true nature of mathematics addressing several of your points of view is the focus of Math News Snapshots Project. Please take a look https://mns.co.il
Best regards
Nitsa
]]>Comment on What is \(0^0\), and who decides, and why does it matter? Definitions in mathematics. by Art Duval
https://blogs.ams.org/matheducation/2018/11/01/what-is-00-and-who-decides-and-why-does-it-matter-definitions-in-mathematics/#comment-692
Thu, 06 Dec 2018 17:12:48 +0000http://blogs.ams.org/matheducation/?p=2274#comment-692You are absolutely correct about “begs the question”, which should be “raises the question”. Thanks for catching this, and thanks for helping me learn something new today!
]]>Comment on A Physicist’s Lament by Judah L Schwartz
https://blogs.ams.org/matheducation/2018/12/01/a-physicists-lament/#comment-691
Thu, 06 Dec 2018 14:07:13 +0000http://blogs.ams.org/matheducation/?p=2294#comment-691A good suggestion – a version of this question appears in applet form on my website. You might have a look at
https://sites.google.com/site/mathmindhabits/
]]>Comment on What is \(0^0\), and who decides, and why does it matter? Definitions in mathematics. by Heidi Reich
https://blogs.ams.org/matheducation/2018/11/01/what-is-00-and-who-decides-and-why-does-it-matter-definitions-in-mathematics/#comment-690
Thu, 06 Dec 2018 13:24:54 +0000http://blogs.ams.org/matheducation/?p=2274#comment-690This is an excellent, enlightening post despite the incorrect usage of the phrase “begs the question.”
]]>Comment on A Physicist’s Lament by Nicholas Baigent
https://blogs.ams.org/matheducation/2018/12/01/a-physicists-lament/#comment-688
Sat, 01 Dec 2018 16:41:38 +0000http://blogs.ams.org/matheducation/?p=2294#comment-688In the spirit of this, which I very much like, perhaps a nice question about how close rectangles are to squares would be to ask first to rank some rectangles; then explain the reason for the ranking; and finally to ask for precise criteria … and even following that ask if the criteria rank every pair of rectangles or only some; is the ranking transitive? and so on.
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