Comments for The Math Doctors
https://www.themathdoctors.org
Continuing the Mentoring Tradition of Ask Dr. Math (tm)Wed, 19 Sep 2018 12:02:53 +0000hourly1https://wordpress.org/?v=4.9.8Comment on Estimation: The Value of Imprecision by A Fermi Problem – The Math Doctors
https://www.themathdoctors.org/estimation-the-value-of-imprecision/#comment-69
Wed, 19 Sep 2018 12:02:53 +0000https://www.themathdoctors.org/?p=1302#comment-69[…] couple weeks ago, in discussing the value of estimates, I included one example of a (very simple) Fermi problem: one in which it is necessary to invent […]
]]>Comment on Numerical Approximation Methods: When Algebra Doesn’t Work by Evaluating Square Roots by Hand – The Math Doctors
https://www.themathdoctors.org/numerical-methods-when-algebra-doesnt-work/#comment-66
Mon, 17 Sep 2018 12:14:08 +0000https://www.themathdoctors.org/?p=1352#comment-66[…] and Newton’s Method, were discussed in their more general form last week when we discussed numerical methods of approximation. I also showed a student’s discovery of linear interpolation for finding square […]
]]>Comment on 1=0? Calculus Says So [or Not] by When Your Answer Doesn’t Match the Book’s – The Math Doctors
https://www.themathdoctors.org/10-calculus-says-so-or-not/#comment-64
Fri, 14 Sep 2018 12:10:02 +0000https://www.themathdoctors.org/?p=1173#comment-64[…] I recently wrote a blog post in part about a similar issue that occurs in calculus, where two solutions can look entirely different, and the difference turns […]
]]>Comment on Estimation: The Value of Imprecision by Estimation vs. Other Ways to Check Subtraction – The Math Doctors
https://www.themathdoctors.org/estimation-the-value-of-imprecision/#comment-63
Wed, 05 Sep 2018 12:03:46 +0000https://www.themathdoctors.org/?p=1302#comment-63[…] time I looked at reasons for learning to estimate. In searching for answers on that topic, I ran across a question that touches not just on reasons […]
]]>Comment on Rounding: Contextual Issues by Estimation: The Value of Imprecision – The Math Doctors
https://www.themathdoctors.org/rounding-contextual-issues/#comment-62
Mon, 03 Sep 2018 12:02:40 +0000https://www.themathdoctors.org/?p=675#comment-62[…] my post on March 12 about rounding, I discussed how in the context of estimation it is often better not to “round to the […]
]]>Comment on How Can I Stop Making Careless Mistakes? by Studying Math: Get Motivated! – The Math Doctors
https://www.themathdoctors.org/how-can-i-stop-making-careless-mistakes/#comment-53
Mon, 13 Aug 2018 12:12:23 +0000https://www.themathdoctors.org/?p=461#comment-53[…] After writing this post, I ran across an article that may be important for you if you think your interests are what they are, and you can’t change them: Instead of ‘finding your passion,’ try developing it. This is another aspect of the “growth mindset” concept, which we have discussed in my post on avoiding careless mistakes. […]
]]>Comment on What is Multiplication? Multiplicand and Multiplier by What is Multiplication? How (Not) to Teach It – The Math Doctors
https://www.themathdoctors.org/what-is-multiplication-multiplicand-and-multiplier/#comment-38
Mon, 30 Jul 2018 12:03:48 +0000https://www.themathdoctors.org/?p=1231#comment-38[…] time we looked at the roles of multiplier and multiplicand from several perspectives. This time, I want to focus on one extended discussion about how children […]
]]>Comment on Why Does Geometry Start With Unproved Assumptions? by Who Moved My Postulate? – The Math Doctors
https://www.themathdoctors.org/why-does-geometry-start-with-unproved-assumptions/#comment-30
Mon, 09 Jul 2018 12:00:32 +0000https://www.themathdoctors.org/?p=1201#comment-30[…] time we looked at the question of why we have to have postulates, which are not proved, rather than being able to prove everything. Often, this question is mixed […]
]]>Comment on How Can I Remember Area Formulas? by Finding the Area of a Circle – The Math Doctors
https://www.themathdoctors.org/how-can-i-remember-area-formulas/#comment-24
Mon, 18 Jun 2018 12:01:27 +0000http://www.themathdoctors.org/?p=328#comment-24[…] Students often wonder where the formula for the area of a circle comes from; and knowing something about that can help make it more memorable, as I discussed previously about other basic area formulas. […]
]]>Comment on What Are Trig Functions, Really? by What is Cosine – With a Twist – The Math Doctors
https://www.themathdoctors.org/what-are-trig-functions-really/#comment-22
Fri, 08 Jun 2018 12:00:51 +0000https://www.themathdoctors.org/?p=1077#comment-22[…] written last week about the definitions of trigonometric functions, I want to look at a question from a few months ago that illustrates a rather common mistake […]
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