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
Tag: geometry
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
How do we define the slope of a line?
The coordinate plane
The coordinate plane, labelling each point in the plane with a pair of numbers (coordinates), allows us to … Read More
What does it mean for two line segments OR triangles OR other subsets of the plane to be “the same shape”?
The concept of “shape”, the concept of “similarity”
… Read MoreThe main issues [with TSMs treatment of geometry] may be summarized as follows:
- The high school geometry course cannot be the only place in the K–12 curriculum where definitions, theorems,
