I’ve been rereading Smith & Stein’s 5 Practices for our #T3Learns slow chat book study.
We used daily prompts for one chapter each week.
I have failed to keep up with the last few chapters because of exams, graduation, a litter of 8 abandoned puppies, and a family vacation to the mountains of western North Carolina.
I like to finish what I started, so I reread the last few chapters and wrote the tweets I would have posted. Rereading this book a few years after the first time has been a valuable experience – reminding me of not only the importance of the 5 practices but also some of the challenges in implementing them – so I am including my reflections as a blog post to reference every once in a while, as the journey continues …
Chapter 1: Introduction and Introducing the Five Practices
Sentence/Phrase | We learn through a process of knowledge construction that requires us to actively manipulate and refine information and then integrate it with our prior understandings. #T3Learns |
Connect | Love the idea of our community of learners participating in the “joint construction of knowledge”. |
Extend | When going over a task, how do we turn “show-&-tell” into an opportunity for Ss to learn how solutions are connected to the math we want them to know? #T3Learns |
Challenge | As noted in intro, challenge is “aligning students’ developing ideas & methods with the disciplinary ideas that they ultimately are accountable for knowing.” #T3Learns |
I wonder | I wonder how many Ts plan lessons thinking about “launch” phase, “explore” phase, & “discuss & summarize” phase. #T3Learns #5Practices |
Chapter 2: Laying the Groundwork: Setting Goals and Selecting Tasks
Sentence/Phrase | “productive discussions that highlight key mathematical ideas are unlikely to occur if the task on which Ss are working requires limited thinking & reasoning.” #T3Learns p20 |
Connect | Ts often think of lessons in terms of what Ss will do instead of what they will come to know & understand about the math. #T3Learns |
Extend | Extend: If the mathematical idea is explicitly written in the learning goal, will that influence the way I plan/teach the lesson? #T3Learns |
Challenge | How might we get Ss to think about lessons in terms of what they know & understand about the math instead of just what they are doing? #T3Learns |
I wonder | I wonder what % of tasks I give my Ss would be considered higher-level. I wonder when a lower-level task is helpful. #T3Learns https://www.google.com/search?q=smith/stein+task+analysis+guide&safe=strict&client=safari&rls=en&tbm=isch&tbo=u&source=univ&sa=X&ved=0ahUKEwiNup2AkJnNAhVJIlIKHVsFDS0QsAQINg&biw=1325&bih=949 |
Chapter 3: Investigating the Five Practices in Action
Sentence/Phrase | T avoided show&tell in which solutions are presented in succession w/o rhyme or reason, often obscuring point of the lesson. #T3Learns p.29 |
Connect | Rereading this reminds me of where I’ve picked up new habits while teaching: “By referring to notes that she had made during the monitoring process” #T3Learns p.27 |
Extend | I’m reminded how helpful reading through a vignette is to see #5Practices in action. I need to be sure my team of Ts has this opportunity. #T3Learns |
Challenge | Challenge: Deliberate selecting, even w/teams w/same solution. Have clipboard but don’t always keep up. #5Practices #T3Learns |
I wonder | @elsdunbar has me wondering how #5Practices can be connected to other disciplines: https://elsdunbar.wordpress.com/2016/05/01/teach-math-as-a-story/ #T3Learns |
Chapter 4: Getting Started: Anticipating Students’ Responses and Monitoring Their Work
Sentence/Phrase | “His preparatory work would help him make sense of what he did see and free him up to consider more deeply the things that emerged that he had not anticipated.” #T3Learns #5Practices p. 35 |
Connect | So simple & yet so important for Ts planning lessons: “Once he had determined what he was going to do and why …” #T3Learns #5Practices p. 35 |
Extend | “Developing Qs only “in the moment” is challenging for a teacher who is juggling the needs of a classroom full of learners who need different types and levels of assistance.” #T3Learns #5Practices p. 36 |
Challenge | Challenge: Solving problems using nonprocedural methods to anticipate what Ss might do. I find this best done in the company of my coworkers! #T3Learns #5Practices |
I wonder | I wonder whether I can find Ts willing to share a classroom experience through the lens of #5Practices. The vignettes are so helpful! #T3Learns |
Chapter 5: Determining Direction of Discussion: Selecting, Sequencing & Connecting Students’ Responses
Sentence/Phrase | Selecting is “purposefully determining what math Ss will have access to beyond their own initial thoughts”. #T3Learns p.43 #5Practices |
Connect | Selecting gives T control over what class discusses–not left up to chance of who raises hand or whom T randomly calls. #T3Learns p.44 |
Extend | I love “orchestrating” in title. Select*Sequence*Connect really does make me feel like the conductor of an orchestra of math Ss. #T3Learns |
Challenge | Unfiltered S contribution hard to follow or causes unproductive direction #T3Learns p.44 Reminds me of @PamWHarris: http://www.mathisfigureoutable.com/down-the-rabbit-hole-2/ |
I wonder | HMW teach every lesson so that “the goals for the lesson serve as a beacon toward which all activity is directed”? #T3Learns p.59 |
Chapter 6: Ensuring Active Thinking & Participation: Asking Good Questions & Holding Students Accountable
Sentence/Phrase | Giving Ss time to compose responses signals value of deliberative thinking, recognizes that deep thinking takes time #SlowMath #T3Learns p72 |
Connect | “What Ss learn is intertwined with how they learn it.” Which is why we start with #AskDontTell learning episodes. #T3Learns #5Practices p.61 |
Extend | Classroom discussions “do not materialize out of thin air. Rather, they are planned …” #T3Learns #5Practices p.69 |
Challenge | Moving from S sharing solution to revealing connections is a challenge. Takes practice & do-overs. Blogging helps me process. #T3Learns |
I wonder | I wonder whether my team would be willing to listen/record each other’s Qs so that we can improve # that push/probe S thinking. #T3Learns |
Chapter 7: Math – Putting the Five Practices in a Broader Context of Lesson Planning
Sentence/Phrase | Planning “is a skill that can be learned and greatly enhanced through collaborations with colleagues.” #T3Learns #5Practices #MTBoS |
Connect | How do you create a permanent record of the decisions you make in your lesson? How many of us blog for this reason? #T3Learns |
Extend | Beginning Ts need even more support planning – so thankful for our team teaching opportunity. https://easingthehurrysyndrome.wordpress.com/2015/08/22/the-best-professional-development-ever/ #T3Learns |
Challenge | Challenge: Our Ts dutifully submit lesson plans but few find value in completing. HMW use them to improve teaching & learning? #T3Learns |
I wonder | HMW change lesson planning at our school to focus on Qs we’ll ask to drive instruction instead of what we’ll cover. #T3Learns |
Chapter 8: Working in the School Environment to Improve Classroom Discussions
Sentence/Phrase | “All teachers have the capacity to be stars—they just need access to opportunities to learn, reflect, and grow.” #T3Learns #5Practices p94 |
Connect | I am thankful to work in a school that values common planning time for Ts, even when scheduling is a challenge. #5Practices #T3Learns |
Extend | Thoughtfully & thoroughly planning instruction for tasks culminating in discussion so math learned is salient to Ss isn’t easy #T3Learns p94 |
Challenge | I am thankful to work in a school that values common planning time for Ts, even when scheduling is a challenge. #5Practices #T3Learns |
I wonder | I look forward to continued work with #5Practices. I’ve seen our work w/tasks improve over several yrs of sequencing & connecting. #T3Learns |