Collaboration in a Math Classroom by Della Limon https://padlet.com/dlimon/vguw6vy2wlev How to use more open tasks to intentionally facilitate student collaboration en-us 2017-01-31 18:26:19 UTC 2017-03-15 16:03:35 UTC hello@padlet.com https://padlet-assets.s3.amazonaws.com/icons/Send.png Two things to pay attention in when collaborating around math dlimon https://padlet.com/dlimon/vguw6vy2wlev/wish/150647373 1. Open Tasks
-more entry points
-works for more students
-at various levels 
*if the task is too closed, you can't facilitate well because there isn't enough to do
1. Intentionally Facilitate
-make sure the purpose is clear
-so it will elicit student collaboration. ]]> 2017-01-31 18:54:45 UTC https://padlet.com/dlimon/vguw6vy2wlev/wish/150647373 Remind students of Norms dlimon https://padlet.com/dlimon/vguw6vy2wlev/wish/150651131 EVERY TIME THEY COLLABORATE (WITH EACH ACTIVITY)]]> 2017-01-31 19:03:36 UTC https://padlet.com/dlimon/vguw6vy2wlev/wish/150651131 Link to recording dlimon https://padlet.com/dlimon/vguw6vy2wlev/wish/160289105 https://newtechnetwork.adobeconnect.com/p37m5pp8ypp/?proto=true]]> 2017-03-15 15:39:55 UTC https://padlet.com/dlimon/vguw6vy2wlev/wish/160289105 Link to Slides dlimon https://padlet.com/dlimon/vguw6vy2wlev/wish/160291179 https://drive.google.com/file/d/0BzJU7Kw_qow9b01lR2FSTGdGSlE/view]]> 2017-03-15 15:45:36 UTC https://padlet.com/dlimon/vguw6vy2wlev/wish/160291179 Traditional Math Problem dlimon https://padlet.com/dlimon/vguw6vy2wlev/wish/160292646 Erin shops at two stores for a new sweater. The sweater at the first store costs $15 less than three times the cost, c, of a sweater at the second store. The sweater at the first store cost $90. The equation below can be used to determine the cost of the sweater at the second store. 3c - 15 = 90 

Solve the equation to find the cost of the sweater at the second store.

At best, what is the goal of the problem: Evaluate the student’s ability to solve an equation in one variable (the steps to solve the equation)

What is the student being given?

  • Context
  • Equation
  • Variables are named
  • Process is also given
  • The question to be answered
]]> 2017-03-15 15:49:38 UTC https://padlet.com/dlimon/vguw6vy2wlev/wish/160292646 Revised Math Problem dlimon https://padlet.com/dlimon/vguw6vy2wlev/wish/160293798 “Still shopping at Jefferson’s Shoppe and paying full price?? Stop into Bailey’s instead for your clothing needs. A sweater here cost 3 times less, AND, for a limited time, we’ll also discount your purchase by $15!”

At best, what is the goal of the problem: Students define the question.Students compare the question being posed to previous problems they’ve solved. Interpret and solve using appropriate model in an authentic scenario

What is the student being presented with?

  • An advertisement with only a situation to be modeled mathematically

What will students need to ask to be successful solving this:
  • Where do I start? 
  • What is the full price of a sweater? 
  • What am I trying to solve?
  • How do we do this?
]]> 2017-03-15 15:52:20 UTC https://padlet.com/dlimon/vguw6vy2wlev/wish/160293798 Traditional Launches focus only on the "What" which means students don't know how to collaborate. dlimon https://padlet.com/dlimon/vguw6vy2wlev/wish/160294587 Example:
“Today we’re going to continue to investigate our slope ratios. Remember that yesterday we started to see patterns in these ratios when looking at right triangles, and at the end of class we named this ratio ‘tangent’. What I’d like us to do today is to investigate the other two ratios inherent in right triangles, moving from just looking at rise over run – or opposite over adjacent – to seeing what happens when we include the hypotenuse in these ratios. You’ll be working in groups, and I’ll pass around the prompts for you to think about together.”]]> 2017-03-15 15:54:25 UTC https://padlet.com/dlimon/vguw6vy2wlev/wish/160294587 Collaborative Launches focus on the "How" which means students understand the expectations and process for collaboration. dlimon https://padlet.com/dlimon/vguw6vy2wlev/wish/160295002 Example:
“Today we’re going to continue to investigate our slope ratios. Remember that yesterday we started to see patterns in these ratios when looking at right triangles, and at the end of class we named this ratio ‘tangent’. What I’d like us to do today is to investigate the other two ratios inherent in right triangles, moving from just looking at rise over run – or opposite over adjacent – to seeing what happens when we include the hypotenuse in these ratios. You’ll be working in groups and I’ll pass around the prompts for you to think about together. As soon as these papers hit your desk, here is what I expect from each group: a quick start (reading the prompts and digging in within 60 seconds so that we’re being efficient with our time; lots of pushing around reasoning (I want to hear, “Wait, can you explain that again?” or “But how can we…?; and I should hear all 4 voices in each group (to be successful, you need each person’s talents and perspective to make sure this is actually happening.”]]> 2017-03-15 15:55:39 UTC https://padlet.com/dlimon/vguw6vy2wlev/wish/160295002 In the moment Feedback dlimon https://padlet.com/dlimon/vguw6vy2wlev/wish/160295437 Avoid saying:

How’s it going? Do you have any questions? 

...because students tend to respond with passive low level questions.  It also does not give you a chance to assess knowledge and give feedback for student improvement. 
Instead:

When you look at a group think:

  1. What non-verbal things can you look for to show collaboration. 
  2. What in depth questions can you use to check for understanding?

]]> 2017-03-15 15:57:03 UTC https://padlet.com/dlimon/vguw6vy2wlev/wish/160295437 Specific Feedback dlimon https://padlet.com/dlimon/vguw6vy2wlev/wish/160295632
  • Give specific praise (thank you for being on the same page at the same time).
  • Refer to successful use of the norms and say how it helps the group (I really appreciate your turn taking, it helps all the voices in your group be heard).
  • Group points for collaboration (stamp sheet or on board).
  • Groups can assess or students can self assess based on the rubric. 

    • *Be specific about what is and what isn’t working well tied to the rubric.  The facilitator focuses on the collaboration, so that the collaborators can focus on learning. 

    ]]>     2017-03-15 15:57:40 UTC https://padlet.com/dlimon/vguw6vy2wlev/wish/160295632     Closing activities (beyond Exit Tickets) dlimon https://padlet.com/dlimon/vguw6vy2wlev/wish/160295893 Debrief the content

    • What should students have learned (content)?
    • How will they know they were successful?

    • What steps can they take to revise or enrich their work?
    Debrief the Collaboration

    • Tell the students how they did overall (as a class).
    • Review what improvements are necessary. 

    • Invite student reflection for improvement. 
    ]]>     2017-03-15 15:58:18 UTC https://padlet.com/dlimon/vguw6vy2wlev/wish/160295893     The ability to be a productive member of diverse teams through... dlimon https://padlet.com/dlimon/vguw6vy2wlev/wish/160296681
    Strong interpersonal communication | 
    • All 4 voices heard
    • Building on each other’s ideas
    • Active listening
    • Disagreeing Appropriately
    • Reaching consensus
    • Paraphrasing another's ideas
    A commitment to shared success | 
    • Same page, same time
    • Asking another student a question
    • Asking if another student has a 
    • You are all focused on modeling the problem, indicating that you want each other to succeed
    • Positive encouragement between peers
    • Noticing that another student is not participating and positively encouraging that student
    Leadership and/or Initiative | 
    • Fulfilling your role
    • Students refer to norms
    • Student organizes group around the work (“What if we start here because…)
    • Seeking help from peers/teacher
    • Questioning each other’s thinking...how did they come up a solution.
    • Redirect / refocus of a group or a group member (polite)-asking a clarifying question
    ]]>     2017-03-15 16:00:37 UTC https://padlet.com/dlimon/vguw6vy2wlev/wish/160296681