Skip to main content

Questions tagged [history]

For questions concerning the history of mathematical education and the use of historical topics in teaching mathematics.

12 votes
3 answers
720 views

Fighting math phobia with history

After years of experience in some area of expertise, you can easily forget how difficult it can be for the uninitiated to grasp some fundamental concepts, and, indeed, people often edit out of their ...
Tom Copeland's user avatar
12 votes
1 answer
626 views

The origins of $\operatorname{cis}(\theta)$

There is a abbreviation used in high school mathematics that is almost never seen outside of it: $\operatorname{cis}(\theta) = \cos(\theta) + i \sin(\theta)$, where cis stands for cosine + i sine. As ...
Simon's user avatar
  • 223
12 votes
1 answer
447 views

Where can I find primary sources from the New Math movement in the 60s?

I'm interested in learning about the New Math movement from a historical perspective. I've located some secondary sources about the topic, mainly parodies, highly critical restrospective articles, or ...
Alexander Gruber's user avatar
11 votes
2 answers
2k views

What on earth was Old Math?

I'd like to able to follow discussions/arguments about maths education, but many of them revolve around the transition to new math. I was taught in the UK in the early 90s, and none of the examples ...
Khorne's user avatar
  • 121
10 votes
5 answers
974 views

Does anyone use the cubic formula these days?

I am writing a story for young people about the history of the development of the cubic formula and complex numbers, partly because it has so much drama and partly because it's amusing that complex ...
Sue VanHattum's user avatar
  • 21.1k
10 votes
3 answers
432 views

The royal road to calculus

In the early 1900s Felix Klein lay out his vision for secondary mathematics curriculum. He wanted schools to teach calculus, so that universities would not be burdened by it. And at the core of the ...
Manya's user avatar
  • 201
8 votes
3 answers
999 views

What did math educators think about the transition to widespread classroom use of calculators?

When we have discussions about which technology to include in our classrooms today, we are often somewhat conflicted with many standard arguments and worries being presented on both sides. To help ...
Chris Cunningham's user avatar
8 votes
1 answer
492 views

When (and why) did geometric means of more than two numbers exit the secondary curriculum?

In contemporary US secondary mathematics textbooks, geometric means occasionally make a brief appearance. For example: In Geometry, students learn that when an altitude is dropped to the hypotenuse ...
mweiss's user avatar
  • 17.4k
7 votes
11 answers
6k views

Earliest real-world uses of Calculus and Linear Algebra

I want to illustrate in class that real-world applications of mathematics might take time to come to fruit. In this context, I want to find what the earliest real-world applications of Calculus and ...
Jaikrishnan's user avatar
7 votes
1 answer
244 views

Solving open problems through a misunderstanding

We all know the (apparently verified1) anecdote recounting George Dantzig arriving late to a lecture (by Jerzy Neyman), and later solving two open problems written on the board, mistaking them for ...
Joseph O'Rourke's user avatar
6 votes
1 answer
438 views

Who is E. Kim Nebeuts?

I just learned the name E. Kim Nebeuts from the quote at the beginning of Joseph O'Rourke's answer to this question. Curious, I google searched. All I saw on the first 2 pages of results was things ...
benblumsmith's user avatar
  • 1,936
6 votes
0 answers
191 views

Learning math historically

What is meant by learning math historically (NOT learning math history only, but learning math with a historical development perspective)? I've seen some sources that to learn a math topic X, you need ...
katana_0's user avatar
  • 349
5 votes
2 answers
313 views

Undergraduate Vector Calculus Notation Mess

Question 1: What are your arguments in favor of the big array of different notations used in the context of undergraduate vector calculus: line integrals, surface integrals (of scalars and fields), ...
Behnam Esmayli's user avatar
5 votes
2 answers
121 views

Historical Development vs Official Development

In some cases the historical development of a mathematical subject/tool is not straightforward. Mathematicians define a particular notion and work in an accepted direction. After a while they come ...
user avatar
5 votes
1 answer
347 views

How does the average level of expected mathematical sophistication at high school level increase?

I remember reading an old calculus book (years 1920-1930) and in the preface it was portrayed as revolutionary because it was for high school students. Nowadays, that is not revolutionary, because ...
Cathartic Encephalopathy's user avatar

15 30 50 per page