Not much posting recently, but hey, it’s summer. I’ve mostly done vacationing, now, and am really thinking about the new year.
I just finished reading through the first half of Merzbach’s and Boyer’s A History of Mathematics, up until the Renaissance. I took a list of topics associated with different cultures as I read through, as they may lead to some interesting lessons in the upcoming school year. I’m not really sure of the best way to integrate with the Global curriculum, but the 9th Grade Team is meeting tomorrow and I’m hoping I can talk with the history teacher about it. Obviously an ordering by mathematical sense won’t match a chronological historical ordering, or even a topical historical ordering, but I’m sure something will come out of it.
At least, I feel that, if one had to come first, it is better to have the historical context before the math, than vice versa. Here’s the list I made, though there’s not much to it.
|Algebra Tiles||Ancient China||Counting Rods|
|Number Systems||Ancient India|
|Lattice Multiplication||Ancient India|
|Adding Like Terms||Greece||As opposed to the Babylonians|
|Ratios||Greece||Euxodus, in Plato’s Academy|
|Trigonometric Ratios||Greece||Ptolomy, using circles|
|Longitude and Latitude||Greece|
|Completing the Square||Islamic Empire|
|Systems of Equations||Medieval China|
|Pascal’s Triangle||Medieval China||From the Jade Mirror|
|Context Clues||Mesopotamia||Place Value|
|Slope||Middle Ages||Sine and inclined planes|
|Radicals||Pythagoreans||The expulsion of Hippasus|
|Types of Numbers||Pythagoreans||Numerology|