3 Takeaways: NCTM, Day 1

Spending the last part of the week at the National Council of Teachers of Mathematics (NCTM).

3 Takeaways:

  1. Rochelle Gutièrrez‘s talk on Mathematics Teaching as Subversive Activity: I’m thinking about how mathematics affects student’s identity and the idea that mathematical ability is a perception but the trauma and status it affects are very real. Also, language-wise, I’m trying to get myself to say “emergent bilinguals (or trilinguals!)” and “mathematics” rather than “math” (I can’t quite say “maths” naturally yet). I think of Emilio, one of our kiddos who left school this year. I didn’t fully realize it, but English was actually his third language – he primarily spoke Mam, a Guatemalan indigenous language and learned quite a bit of Spanish in his time at our school. The idea of Emilio framed as an emergent trilingual sounds much more glorious than Emilio as a struggling student.
  2. The “Lessons from our Students: Stories From Railside High” alumni panel was AMAZING. I’ve heard so much about this school where Complex Instruction (challenging, structured groupwork with attention to student status) brought huge cultural and academic changes to the math department before it was crushed by district testing needs. But this was the first time I’d actually met any of the students. And it was AMAZING. They were all able to speak eloquently and thoughtfully about their experiences (one even brought all of her old math notes). It was also fascinating to see at least 3 of them involved in various aspects of education – policy, teaching and administration and to know that the experience they had their has really left a lasting impact. I only hope that my kiddos might be able to fully reflect on their mathematical experiences in such a similar way. (I also realized that many people might doubt Railside High as it is a pseudonym and therefore not Google-able.)
  3. I somewhat arbitrarily went to Mardi Gale’s “Algebra Intervention, Rigor, Problem Solving, and CCSM” as our school is struggling to raise scores on the mathematics SBAC. This talk got me thinking about how important it is to have multiple representations (which I try to think about often, but often drops off as the year wears on) and make explicit connections to prior knowledge. This feels especially important for supporting our kiddos who have interrupted formal education or had less rigorous schooling.
  4. The “Improving Student Outcomes through Family and Community Engagement” session by the Alameda County Office of Education is pushing me to think about what parent engagement can look like at home (rather than Back to School Night or homework help, as it is often envisioned). I’ve been putting off doing a survey of students about their home lives and should probably just do it.

Day 2, here we come.

Plan Teach Reflect #3: The Water Balloon Toss

Lesson Plan is here, based on curriculum by CPM and our school district here.

The worksheets we gave to students are here.

Plan Teach Reflect Sheet is here.

Student work:

2016-03-04 18.21.55Version 2Version 2

Talk tally:

2016-03-04 21.59.34My notes:

Group notes

Pythagorean Theorem Student Data

Every few months, I meet with other beginning math and science teachers to discuss teaching and what it looks like for us (though the Knowles Science Teaching Fellowship). Recently, this has meant collecting data on our classrooms, presenting it to two other fellows, then discussing it.

The lesson I discussed was an exploration of the Pythagorean Theorem. Students read a reading guide and used Pythagorean Tangrams to see if the two smaller area squares added up to the bigger area square. (photos below)

Part of our assignment was to think about the Standards for Mathematical Practices, which, admittedly, I didn’t.

A couple of thoughts:

  • Students sometimes got stuck when trying to put together the two smaller squares to make the big square and I’d have to show them a hint or first step.This felt useful in terms of keeping the kiddos moving and not letting them get stuck on anything that was probably not hugely important (though if it wasn’t hugely important…) In general, I think I need to try and push students to struggle with math without giving up before asking for help. It feels like such a fine line between getting them engaged and than letting them be independent.
  • We also established that the students may not have understood the goal of the activity. Do they fully understand what it means when they make the two smaller squares equal the big square? Do they think that putting together the two smaller squares means that this will work for all squares?
  • It’s interesting to see how students explain and justify. One student says “I don’t know how to explain” which is frustrating because they probably could explain, but at least shows that they know they need to explain. It’s also interesting to see how students explain something tricky like “why do we need to write the small 2.” (This maybe feels like a “guess what the teacher is thinking” question)
  • In thinking about standards for mathematical practices, I go back and forth about which ones are “most important” (they’re all important, which makes it difficult for me to try and focus). So I might try and get our department (four people) to pick a math practice to focus on across courses next year. We’ll see.

Photos 1 and 2: Student AStudent A - Page 1

Student A - Page 2

Photos 3 and 4: Student BStudent B - Page 1Student B  - Page 2Photos 5 and 6: Student CStudent C - Page 1Student C  - Page 2