Math & Teaching Quotations has continued to be one of the most popular pages on my site, and it’s appropriate to revisit this as teachers transition to Common Core standards. Here’s the direct link to quotes on Mr. L’s site. A good quote can go a long way towards brightening my day as well as give students some brain food as they work through their daily tasks. Since the 8 Common Core Practices talk about “big ideas” and overarching goals, quotes fill this niche by allowing the discussion of wider goals – kind of like looking at the forest as opposed to looking at individual trees. Here are some quotes that address these 8 Practices. I hope you find some that “speak to you,” and more importantly, to your students.
MP7 Look for and make use of structure. The following quotes are about structure.
Though the structures and patterns of mathematics reflect the structure of, and resonate in, the human mind every bit as much as do the structures and patterns of music, human beings have developed no mathematical equivalent to a pair of ears. Mathematics can only be “seen” with the “eyes of the mind”. It is as if we had no sense of hearing, so that only someone able to sight-read music would be able to appreciate its patterns and harmonies.
- Keith Devlin, from Mathematics: the Science of Patterns
Out of clutter, find simplicity. From discord, find harmony. In the middle of difficulty lies opportunity.
- Albert Einstein
The rules of logic are to mathematics what those of structure are to architects.
- Bertrand Russell
Mathematics as the art of creating and exploring mathematical structures.
- Michael Enciso
Studying math is like building a castle in your head. When building a castle, you first must learn to build a brick, and once that is mastered, you can use it to build a wall. Once you can build a wall, you can build a tower. Stronger bricks allow for higher walls and bigger towers. Additionally, powerful tools allow you to build faster and more efficiently.
- Michael Enciso
Some people argue that math is just a tool invented by scientists to explain the natural world. But (Max) Tegmark contends the mathematical structure found in the natural world shows that math exists in reality, not just in the human mind.
- Tanya Lewis
The higher your structure is to be, the deeper must be its foundation.
- Saint Augustine
Even the structure of the atom has been found by the mind.
- Ramana Maharshi