Counting things is hard! The following rules are shortcuts that allow us to count certain collections of things rapidly.… Read More
Category: Lessons (Page 1 of 3)
Categorical vs quantitative variables
Quantitative variables are any variables where the data represent amounts.
Categorical variables are any variables where the data represent groups.… Read More
Probability is a measure that is associated with how certain we are of the outcomes of a particular experiment or activity. An experiment is a planned operation carried out under … Read More
… Read MoreBefore we can discuss volume, we have to know some basic facts about 3- dimensional space. The first order of business is to set up a coordinate system in 3-space.
… Read MoreVery roughly, a geometric measurement (i.e. length, area, and volume) assigns a nonnegative number to a geometric figure that serves to indicate the “size” of the figure relative to a
Why do we care so much about triangles? Why don’t we have something like “trigonometric functions” for other shapes, like rectangles, pentagons, etc?
Furthermore, why does trigonometry focus on right … Read More
Circles arise naturally in geometry (they are an immediate consequence of the notion of distance), and we use them extensively in geometric constructions (after all, a compass is essentially a … Read More
Today we look again at Geometric Constructions, this time using more modern tools. Software can easily replicate the capabilities of the ruler and compass – but can also be used … Read More
Math.stackexchange.com is a question-and-answer website that focusses on substantive discussion of mathematical questions, with participants ranging from students to teachers to professional mathematicians. The question What is the (mathematical) point … Read More
Axiomatic systems
… Read MoreThe intuitive idea of an axiomatic system is very simple. Suppose we want to explain a given assertion A. In so doing, let us say we have to
