Algebra: basic
When you tutor math, you see various approaches to algebra. Here’s my interpretation: 1) Decide which side you want “x” (or whatever variable you have). 2) Get all the x terms to that side, and all the numbers to the …
School Supplies: A tutor’s point of view
Last year, listening to French radio, I heard a surprising report: school supply shopping is the second most stressful occasion for a great many parents, second only to Christmas shopping. If that’s true, it doesn’t need to be. What’s more, I can explain why: 1) …
Reasoning: Inductive vs Deductive
A couple of years ago, a new topic came up during math tutoring: deductive reasoning vs inductive reasoning. What’s the difference? There are many ways to explain how the two are different. I’ll explain it this way: With inductive reasoning, you notice a few similar situations that …
Story Elements: Setting vs Character
During English tutoring, elements of story creation are sometimes explored. Among them are plot, setting, character, symbol, and irony. When I was in English 12, I was taught that great writers don’t develop a story by plot, but rather, by character. The real story is how the …
Can an Endless String of Numbers have a Sum?
If you tutor math 12, you’ll have come across the premise 1 + 1/2 + 1/4 + 1/8 +…. Before we go any further, a reminder on how to multiply fractions: (2/3) x (4/5) = 8/15. You just multiply the …
Julius Caesar: Cassius, V,iii
Caesar, thou art avenged, even with the sword that kill’d thee. –Cassius, Act V, scene iii, Julius Caesar In Act V, scene iii, of Julius Caesar, Cassius commits suicide. Having been misled that his dear friend Titinius is slain, Cassius …
The Semicolon
Welcome back. While tutoring English, punctuation is a constant concern. Using a variety of punctuation leads to sentence variety – something that always impresses English teachers. The semicolon can be used in many ways, but its simplest use is to join two short, but complete sentences. …
Divisibility by 3, Divisibility by 9
During math tutoring, no matter what the level, the front line is arithmetic. In that spirit, here’s a handy trick to tell if a number is divisible by 3: Add up the digits. If the sum is divisible by 3, then so …
French: passé composé, imparfait, and plus-que-parfait: when to use them.
Hello: Well, today I thought we’d discuss some French: specifically, the passé composé, the imparfait, and the plus-que-parfait. In what situation do you use each? The passé composé is the first way to express the past tense that I learned in high school. It …
French: passé composé, imparfait, and plus-que-parfait: when to use them. Read more »
Simplifying Radicals…part I
Hello. One of the most dreaded topics in high school math – as you’ll quickly find out if you do math tutoring – is radicals. Well, here’s our first math post: simplifying radicals. Today, we’ll look at square roots only. …