I was working hard to explain a tough proof in Geometry. I had the Smartboard a-goin'. I was using many colored markers. I was fueled on two cups of coffee and a Twix bar. The sun was shining, the kids' heads were nodding up and down, and it was one of those moments in teaching where a teacher thinks, "YES!" I was psyched. Truly.
Then, the room got quiet and a lone hand went up in the back of the room. A soft voice from a typically quiet student said, "Mrs. Fitz, could you also have done it this way?" He went on to explain an elegant approach that I have never, ever considered before [ and I have looked at this particular Geometry proof from many different angles ;-) ]
Honestly, I became speechless -- and that's rare for me! I continued to listen, really listen, and his train of thought wowed me. The classroom became serenly quiet for a minute. Then, I tried as best as I could to say to the student how deeply proud I was of him. I wanted him to know that his thought process showed a maturity, growth. Yes, his mind has indeed expanded this year from straight, direct, substitution-type logic, to something much more complex. His logic was so strong and so correct. It had an almost-law-school quality to it.
Well, that cinched it for me -- spring is really here, I thought, both in terms of weather and in learning in my classroom! These freshman are a-bloomin'!
Finally. At last. And I am so happy for them.
12 comments:
Hi Mrs. Fitz,
It's Alison from A block. I just wanted to let you know that I love being in your class and learning new things everyday. Each day in your class is funny and a joy!!
Thanks!
Alison
I was curious is you ever find course material from the art world. Penrose tiles for example; I'm not familiar with the geometry or math behind them, but it seems that there must be something there.
Origami too...
Thanks -
Michael Teixeira
Students and PArents,
I'm so glad you're checking in. Ben and Alison, thank you for the kind words. It means a great deal to me to know you are understanding and -- liking-- the math so much this year. You really are at a new "level of play". Once you hit these courses at RMHS, you are getting into higher mathematics. I promise you, every concept you master will pay you back tenfold. As my father used to say to me when I was your age: "Understand the math and the world is your oyster."
Keep studying and learning! It's what we want for you.
Hi Ms. Fitzpatrick,
This is Nick from H. Geom F. I liked the pictures and framework you put on your blog. This particular entry interested me because I also enjoy inventing alternative methods to solve problems (though they don't always actually solve the problem). Anyways, I'm off to study for your test we have tomorrow.
Nick
Hi Mrs. Fitzpatrick,
I wanted to let you know that I love the way you explain everything we do in class. It really helps me to understand different ways to do one problem and more importantly why we do it. When I first learn something, I may be a little confused, but with your help I eventually figure out what I am doing.
Thanks!
Hayley (Block B)
Yes all the signs of spring made me very happy too! I'm do glad that winter ended. Although it is still very cold, I'm looking forward to summer weather! I think this might have been my class that the kid told you a different apprach. I remember sitting there asking myself, "why couldn't I have thought of that?" and I could tell that you really apreciated his input.
Nikki B. Block B
Students,
Thank you for all your kind words about my teaching. Like you, I put a lot of effort into my school work and it syre means a great deal to get feedback. Thank you for letting me know!
Mrs. Fitzpatrick
Math is my favorite subject and the only one where I can enjoy doing my homework. I love how figuring out the answer is like solving a puzzle. You make math extra fun and easy to understand. Thank you!
-Mallory (Block B)
Hi Mrs. Fitz. This is Janine from block A. I also like seeing the signs of spring and I can't wait for summer! I just wanted to tell you that math is one of my favorite subjects and I like the feeling when I understand concepts and get problems correct. I also like when you play music in class.
~Janine
This is Morgan F from block A,
I remember my freshman year, and although I was not in geometry, I still had many experiences like this in my Algebra class. It's great to see the different ways kids come up with to solve problems!
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