Month: September 2014

Perl programming: follow-up from Sept 29

Tutoring math or sciences, you need to remind your students to “show their work.”  The tutor observes the same precedent in computer science. Back in my last article, I discussed the changes to the Perl compound interest calculator so it

Tagged with: , ,

Perl: A compound interest calculator, Part II

Compound interest is probably studied more in high school than it was twenty years ago.  The tutor amends the perl program from September 10 to cover the general case of compound interest. Back in my September 10 article, I offered

Tagged with: , ,

Calculus: the derivative of a^x

Tutoring calculus, you might be asked about the derivative of a^x from time to time. The math tutor shows the trick to this old favourite. Example: Find the derivative of a^x Solution: As in so many cases, the trick here

Tagged with:

Math: Proof that the square root of 2 is irrational

Tutoring math, this idea rarely surfaces.  However, it’s essential to number theory, a favourite of math professors.  The tutor discusses it for interest’s sake. The square root of n is the number x such that x(x)=n. Perhaps more to the

Tagged with: ,

Math: short division

Tutoring math, short division is rarely the aim – yet, it’s often a means.  The math tutor introduces it.   I used short division back in my May 4, 2013 post about finding square roots and cube roots. I didn’t

Tagged with:

Calculator usage: a tutor’s perspective

Tutoring math, you are surrounded by calculators.  The math tutor tells a story.   Years ago I realized that knowing “how to do” a process in math is being eclipsed by “how to use” a calculator. First, I saw the

Tagged with:

Math: compound interest, general case

Tutoring math 11 and 12, you encounter this formula.  The math tutor discusses the general case of compound interest. I’ve discussed compound interest and exponential growth in numerous posts:here, here, and here. However, the focus has been on annual compounding,

Tagged with:

Chemistry: what is a mole?

Tutoring high school chemistry, the concept of a mole is paramount.  The tutor offers this light introduction to pave the way for more…. Phrases you might overhear from high school chemistry are “molar mass” or “How many atoms in a

Tagged with: , ,

English: Parallel structures (parallelism)

Tutoring high school and college English, you mention parallelism.  The tutor introduces it. Non-parallel:  I like drawing, reading, and to play the piano. Parallel:         I like drawing, reading, and playing the piano. Let’s compare the two

Tagged with: ,

Chemistry: percent composition, intro

Tutoring high school chemistry, this topic is perennial.  The tutor embarks it gently on this warm, late-summer night…. Most people are familiar with the fact that water is H20: a water molecule is made from two hydrogen atoms combined with

Tagged with:
Top