More quotations especially for teachers:
There is no Royal Road to Geometry.
— Euclid
Teaching is the royal road to learning.
The title which I most covet is that of teacher. The writing of a research paper and the teaching of freshman calculus, and everything in between, falls under this rubric. Happy is the person who comes to understand something and then gets to explain it.
We continue to plan our co-op courses for next fall. Some of the classes I had hoped for will not happen, and my children are going to have to make some tough choices between the remaining topics. Unfortunately, they have not yet mastered the ability to be in two classrooms at once.
I have three math courses to plan, and I think I will focus as much as I can on teaching math through problems, even at the elementary level. These are once-a-week enrichment classes for homeschooled students, so I assume they have a “normal” math program at home. I want to introduce a few topics they might not otherwise see, to deepen their understanding of the topics they have studied, and to give them a taste of that “Aha!” feeling that comes from conquering a challenging problem. Has anybody done something like this, and can you recommend some good resources?
Aaaargh! My Internet service is on the brink again. But since I had to run into my husband’s office to check email, I’ll take a few minutes to post a quick note. Here are a couple of quotes especially for teachers:
The only teaching that a professor can give, in my opinion, is that of thinking in front of his students.
A good student is one who will teach you something.
Our homeschool co-op classes are done for the semester, so this will be my last compilation of blackboard quotes for awhile. I love collecting quotations, however, so I will be treating you to some of my favorites “just for teachers” over the summer. Stay tuned!
It is better to solve one problem five different ways, than to solve five problems one way.
Education is the key to unlock the golden door of freedom.
Continue reading Quotations VIII: The Essence of Mathematics
It can be of no practical use to know that Pi is irrational, but if we can know, it surely would be intolerable not to know.
I don’t remember anyone ever mentioning Pi Day when I was in school, but any excuse to celebrate math sounds like fun. March 14 at 1:59 (a.m. or p.m.) is about as close as the calendar can get to 3.14159…
[Feature photo above by Alberto G. (CC-BY-SA-2.0) via flickr.]
The school experience makes a tremendous difference in a child’s learning. Which of the following students would you rather be?
I continued to do arithmetic with my father, passing proudly through fractions to decimals. I eventually arrived at the point where so many cows ate so much grass, and tanks filled with water in so many hours. I found it quite enthralling.
— Agatha Christie
An Autobiography
…or…
“Can you do Addition?” the White Queen asked. “What’s one and one and one and one and one and one and one and one and one and one?”
“I don’t know,” said Alice. “I lost count.”
“She can’t do Addition,” the Red Queen interrupted. “Can you do Subtraction? Take nine from eight.”
“Nine from eight I can’t, you know,” Alice replied very readily: “but—”
“She can’t do Subtraction,” said the White Queen. “Can you do Division? Divide a loaf by a knife — what’s the answer to that?”
“I suppose—” Alice was beginning, but the Red Queen answered for her. “Bread-and-butter, of course.”
“She can’t do sums a bit!” the Queens said together, with great emphasis.— Lewis Carroll
Through the Looking Glass
…in other words…
If you could lead through testing, the U.S. would lead the world in all education categories. When are people going to understand you don’t fatten your lambs by weighing them?
— Jonathan Kozol
at Westfield State College’s 157th Commencement
Continue reading In Honor of the Standardized Testing Season…
Time to catch up on our blackboard quotes.
“I suppose you are two fathoms deep in mathematics, and if you are, then God help you. For so am I, only with this difference: I stick fast in the mud at the bottom, and there I shall remain.”
— Charles Darwin
quoted in the Platonic Realms collection
It’s been ages since I shared the blackboard quotes from my co-op math classes. Here are some of our recent ones for your reading pleasure…
Denise Gaskins' Let's Play Math 