I am at NCTM pre-session now! This is my first time in Denver, Colorado AND it's my first time at NCTM pre-session. Yesterday, my flight into Denver went smoothly and was on time. However, Denver got a lot of snow. Next thing I knew, the taxi (if you call it that) ride from the airport to the hotel was 2 hours long! Even though I missed the opening session yesterday, pre-session today was definitely worth the wait and worth the walk through the slushy snow.
Today I enjoyed:
a) the first morning session that I went to about discourse.
The three presenters of the research symposium presented how they used commognitive theory (Sfard, 2008) in their dissertation. Unlike other sessions they did not focus on results, but rather they focused on how they thought to use the theory. In this session, I also saw David Pimm in person (as an audience member) for the first time EVER. Nathalie Sinclair SPOKE to me. We actually had a conversation. This combined with seeing Sfard's framework used in three very different ways provided an excellent way to kick-off pre-session for sure! Well, besides my Starbucks coffee.
b) the session about proportional reasoning.
One thing I have noticed about the literature and research on proportional reasoning is the research appears uses positive numbers. What about negative numbers? I feel bad for them really, always neglected. What does proportional reasoning look like with negatives? Rather than considering proportional reasoning as the relationship between quantities, is a more sophisticated notion possibly the relationship between numbers? Or, should we even make that distinction? Proportional reasoning can certainly exist WITH negative numbers. But, can proportional reasoning BE negative? I wonder what what other people think. Although this certainly was not the purpose the session today, I can not stop thinking about how proportional reasoning as it stands now would need to re-defined to include a "negative" perspective.
c) Meeting new people.
I love running into research friends and making new researcher friends. I have met some lovely new people today and have also re-united with some familiar faces.
I'm not a huge fan of snow... but, I am still enjoying my first Denver experience.
I am looking forward to tomorrow and the rest of the week! Big Bang Theory! Texas Instruments Calculators! Presentations! You name it!! It's going to be great! It you want to catch me, check out two presentations that I am co-presenting with my friend Megan. She has the details on her blog. :) Hope to see you!