Comments for The Math Doctors
https://www.themathdoctors.org
Continuing the Mentoring Tradition of Ask Dr. Math (tm)Mon, 05 Nov 2018 13:08:11 +0000hourly1https://wordpress.org/?v=4.9.8Comment on Counting Faces, Edges, and Vertices by Do Curved Surfaces Have Faces, Edges, and Vertices? – The Math Doctors
https://www.themathdoctors.org/counting-faces-edges-and-vertices/#comment-118
Mon, 05 Nov 2018 13:08:11 +0000https://www.themathdoctors.org/?p=1750#comment-118[…] discussed how to count faces, edges, and vertices of polyhedra, and then looked at Euler’s formula that relates them (not only in polyhedra but in graphs on […]
]]>Comment on What Role Should a Figure Play in a Proof? by A Polynomial Inequality: Exploration vs Proof – The Math Doctors
https://www.themathdoctors.org/what-role-should-a-figure-play-in-a-proof/#comment-102
Fri, 19 Oct 2018 12:03:06 +0000https://www.themathdoctors.org/?p=701#comment-102[…] have previously discussed the exploratory phase of a proof in the posts What Role Should a Figure Play in a Proof? andDifferent Ways to Prove a Trigonometric […]
]]>Comment on What is the Median, Really? by The Many Meanings of “Quartile” – The Math Doctors
https://www.themathdoctors.org/what-is-the-median-really/#comment-97
Mon, 15 Oct 2018 12:18:01 +0000https://www.themathdoctors.org/?p=407#comment-97[…] Some time ago I discussed various issues pertaining to the concept of median in statistics. The same issues, and more, affect the concept of quartile (the median being the second quartile), so much so that different statistical software packages produce many different answers for quartiles. I have seen this affect students, who are taught one method for doing it by hand, but then find that their software uses a different definition. Let’s look at some questions in this area. […]
]]>Comment on Measuring Water in a Tank by A Tank with a Conical End – The Math Doctors
https://www.themathdoctors.org/measuring-water-in-a-tank/#comment-88
Wed, 03 Oct 2018 12:04:08 +0000https://www.themathdoctors.org/?p=1430#comment-88[…] time I surveyed what we have said about the volume of liquid in various kinds of tanks. One more special case I ran across deserved more detailed attention, because it demonstrates in […]
]]>Comment on Venn Diagram Puzzles: Logic and Ambiguity by Venn Diagrams: Language Issues – The Math Doctors
https://www.themathdoctors.org/venn-diagram-puzzles-logic-and-ambiguity/#comment-79
Fri, 28 Sep 2018 12:02:26 +0000https://www.themathdoctors.org/?p=1508#comment-79[…] mentioned that we have had a number of questions related to Venn diagrams recently. Here I would like to show a couple of these, from a Philippine student. Even fluent […]
]]>Comment on Venn Diagram Puzzles: Logic and Ambiguity by Venn Diagrams: Over the Top – The Math Doctors
https://www.themathdoctors.org/venn-diagram-puzzles-logic-and-ambiguity/#comment-74
Wed, 26 Sep 2018 12:02:06 +0000https://www.themathdoctors.org/?p=1508#comment-74[…] time we looked at various 2- and 3-set Venn diagram problems (and alternative methods). One discussion I found while collecting them deserved to be set aside for special examination, if […]
]]>Comment 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 […]
]]>