Tag Archives: learning progression

Teaming: Deepen Understanding to Strengthen Academic Foundation

How might we learn and grow together? How do we connect ideas and engage in productive, purposeful professional development (aka learning experiences) around common mission, vision, and goals? What if we model what we want to see and experience in our classrooms?

Influenced, inspired, and challenged by our work at Harvard Graduate School of Education’s 2016 session on the Transformative Power of Teacher TeamsMaryellen BerryRhonda MitchellMarsha Harris, and I set common goals for faculty-learners.

We can design and implement a differentiated action plan across our grade to meet all learners where they are.

But, how do we get there?

For a while, we will narrow to a micro-goal.

We can focus on the instructional core, i.e. the relationship between the content, teacher, and learner.

For today’s Pre-Planning session, a specific goal. At the end of this session, every faculty-learner should be able to say

We can engage in purposeful instructional talk concerning reading, writing, and math to focus on the instructional core.

Here’s our learning plan:

8:00 Intro to Purpose
Instructional Core: Relationship between content, teacher, student

Explain Content Groups tasks

8:30 Movement to Content Groups
8:35 Content Groups Develop Mini-Lesson

9:05 Movement back to Grade-Level Teams in the Community Room
9:10 Share Readers’ Workshop Instructional Core ideation
9:20 Q&A and transition
9:25 Share Writers’ Workshop  Instructional Core ideation
9:35 Q&A and transition
9:40 Share Number Talk  Instructional Core ideation
9:50 Q&A and transition
9:55 Closure:  Planning, Reflection, Accountability

We also shared our learning progressions with faculty so they might self-assess and grow together.

Today’s goal:
Year-long goal:
Screen Shot 2016-08-13 at 8.04.56 PM
When  we focus on the instructional core and make our thinking visible, we open up new opportunities to learn and to impact learning with others.

How might we deepen understanding to strengthen learning?

A lesson in making use of structure from/with @jmccalla1

Jeff McCalla, Confessions of a Wannabe Super Teacher, published some really good thinking about collaboration vs. competition.  In his post, he describes challenging his learners to investigate the following:

Which of these product rules could be used to quickly expand (x+y+3)(x+y-3)? Now, try expanding the expression.

Product Rules

Jennifer Wilson, Easing the Hurry Syndrome, and I have been tinkering with and drafting #LL2LU learning progressions for the Standards of Mathematical Practice. I have really struggled to get my head wrapped around the meaning of I can look for and make use of structure, SMP-7.  The current draft, to date, looks like this:

What if I tried to apply my understanding of I can look for and make use of structure to Jeff’s challenge?

Scan 1

Note: There is a right parenthesis missing in the figure above.
It should have (x+y)² in the area that represents (x+y)(x+y).

What if we coach our learners to make their thinking visible? What if we use learning progressions for self-assessment, motivation, and connected thinking? I admit that I was quite happy with myself with all that pretty algebra, but then I read the SMP-7 learning progression. Could I integrate geometric and algebraic reasoning to confirm structure? How flexible am I as a mathematical thinker? I lack confidence with geometric representation using algebra tiles, so it is not my go to strategy. However, in the geometric representation, I found what Jeff was seeking for his learners.  I needed to see x+y as a single object.

How might we model making thinking visible in conversation and in writing? How might we encourage productive peer-to-peer discourse around mathematics? How might we facilitate opportunities for in-the-moment self- and peer-assessment that is formative, constructive, and growth-oriented?

Visual: SMP-1 Make sense of problems and persevere #LL2LU

What if we display learning progressions in our learning space to show a pathway for learners? After Jennifer Wilson (Easing the Hurry Syndrome) and I published SMP-1: Make sense of problems and persevere #LL2LU, I wondered how we might display this learning progression in classrooms. Dabbling with doodling, I drafted this visual for classroom use. Many thanks to Sam Gough for immediate feedback and encouragement during the doodling process.

Screen Shot 2014-08-16 at 1.21.17 PMI wonder how each of my teammates will use this with student-learners. I am curious to know student-learner reaction, feedback, and comments. If you have feedback, I would appreciate having it too.

What if we are deliberate in our coaching to encourage learners to self-assess, question, and stretch?

[Cross posted on Easing the Hurry Syndrome]

SMP-1: Make sense of problems and persevere #LL2LU

Screen Shot 2014-08-14 at 3.23.09 AM

We want every learner in our care to be able to say

I can make sense of problems and persevere in solving them.  (CCSS.MATH.PRACTICE.MP1)

But…What if I think I can’t? What if I’m stuck? What if I feel lost, confused, or discouraged?

How might we offer a pathway for success? What if we provide cues to guide learners and inspire interrogative self-talk?

  • Level 4:
    I can find a second or third solution and describe how the pathways to these solutions relate.
  • Level 3:
    I can make sense of problems and persevere in solving them.
  • Level 2:
    I can ask questions to clarify the problem, and I can keep working when things aren’t going well and try again.
  • Level 1:
    I can show at least one attempt to investigate or solve the task.

In Struggle for Smarts? How Eastern and Western Cultures Tackle Learning, Dr. Jim Stigler, UCLA, talks about a study giving first grade American and Japanese students an impossible math problem to solve. The American students worked on average for less than 30 seconds; the Japanese students had to be stopped from working on the problem after an hour when the session was over.

How might we bridge the difference in our cultures to build persistence to solve problems in our students?

NCTM’s recent publication, Principles to Action, in the Mathematics Teaching Practices, calls us to support productive struggle in learning mathematics. How do we encourage our students to keep struggling when they encounter a challenging task? They are accustomed to giving up when they can’t solve a problem immediately and quickly. How do we change the practice of how our students learn mathematics?

[Cross posted on Easing the Hurry Syndrome]