It seems like a silly question, really. The answer, we would expect, is “Yes, every day!” Unfortunately, I’m not sure this is the case.

For those of you about to first step foot on the exhilarating math train that is teaching mathematics, it’s probably a good idea to share a few facts and myths about learning and doing mathematics.

Myths:

- math is equated to certainty (sadly, this belief is held by many!)
- knowing mathematics means being able to get the correct answer – quickly (again, this belief is held by many)
- mathematical correctness is determined through the use of a teacher or an answer key.

Facts:

- mathematics is a science of pattern and order (this was taken from
*Everybody Counts*) - math makes sense (teachers cannot make sense of mathematics for students)
- doing mathematics requires students to solve problems, reason, share ideas and strategies, question, model, look for patterns and structure, and yes even fail from time to time.

If you walk into a math classroom – at any level – students are doing mathematics if you see/ hear students doing the following:

Explore |
Construct |
Justify |
Develop |

Investigate |
Verify |
Represent |
Describe |

Conjecture |
Explain |
Formulate |
Use |

Solve |
Predict |
Discover |
Discuss |

If teachers are doing most of these, a shift needs to happen. All students can do these things. All students can learn and do mathematics. All students can make sense of mathematics because math makes sense.

As I reread what I’ve written so far, it tends to read a bit negative. That was not my intent. I just wanted to point out that wherever you are in the vast range of stakeholders of math education, please be aware that just because there are students in a math class, does not mean they are necessarily doing mathematics. That wasn’t much better!

This might be a better way to end this post:

There are many of us (more than I thought when I first started this blog) who are making the case for teaching mathematics for understanding through engaging tasks. Dan Meyer, Andrew Stadel, Fawn Nguyen,** **Graham Fletcher, Jenise Sexton, and Robert Kaplinsky, just to name a few, use their blogs to share their thoughts, lessons & tasks they create, and their thoughts on what it means for students to learn and do mathematics. These, and many others, continue to push all of us to become a better math teachers. Personally, they strengthen my resolve, knowing that our numbers are growing along with our minds and the minds of our students!