Mathematics Educators Weekly Newsletter - Thursday, August 28, 2014

Mathematics Educators newsletter

Top new questions this week: Why are we so careful in saying that dy/dx is not a fraction? Calculus instructors are mostly very careful to explain that $\dfrac{dy}{dx}$ is not a fraction, and multiplying both sides of an equation by dx is nonsense, wrong, or evil. However, I really want to … calculus mathematical-pedagogy   asked by Chris Cunningham 8 votes answered by Santiago Canez 10 votes Is this example of Leibniz notation sloppy? In helping a family member who is studying calculus, I was asked about the meaning of the following, which is straight out of a calculus text book (Varberg and Purcell) $v'(t) = \frac{{\rm … calculus notation   asked by Theodore Norvell 5 votes answered by Mark Fantini 3 votes Average Rate of Change isn't/is Statistics I have the common misconception in my business calculus classes that the Average Rate of Change, say from $x=1$ to $x=5$, is the statistical average of the rates on the four unit intervals $1$ to $2$, … calculus mathematical-pedagogy   asked by Aeryk 3 votes answered by Matt F. 2 votes What to do when a math course needs too much shapes and I'm not a good painter? Teaching some courses in mathematics needs drawing too much shapes (e.g. Geometry, Some parts of calculus, etc.) but I am not good at drawing shapes. Of course I can use slides but I want to use only … reference-request classroom-management shapes   asked by Saint Georg 3 votes Using terminology for the different concepts of rational number In elementary maths education literature, they distinguish multiple concepts that rational numbers are used to represent: fractions, quotients, ratios, rates, and possibly more. These words seem to be … primary-education fractions terminology-of-education   asked by DavidButlerUofA 2 votes About teaching the derivatives and integrals involving the absolute value functions in the current mathematics education I found some derivatives and integrals involving the absolute value functions are expressable in terms of the absolute value functions, for examples: $\dfrac{d}{dx}|x|$ $=\lim\limits_{\Delta x\to … secondary-education calculus   asked by doraemonpaul 2 votes answered by Rory Daulton 4 votes Teaching online when living outside america How can a high school maths teacher find opportunities to teach online? This could be for students from any country. tutoring teachers   asked by Odimegwu David 1 vote Greatest hits from previous weeks: Real-World Applications of Logic When introducing logic in a first semester university course, the examples I use are often quite artificial. One example: One of three kids (Annie, Bob, Chris) has broken a window. Annies says "it was … undergraduate-education examples logic   asked by Anschewski 12 votes answered by adamblan 12 votes How to deal with fast students without neglecting weaker ones In my class, what often happens is that some smart students do problems faster than other students. And they are actually going well ahead of my course plan. While I am teaching to other students a … classroom-management gifted-students general-pedagogy   asked by AaKASH 13 votes answered by Jsor 12 votes Can you answer this? Relative Status of Math Education in Germany, France and England In this reference-request question I would like to ask about any research and personal experience which show the quality of school and university level education in both pure and applied mathematics … reference-request   asked by Saint Georg 1 vote

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