Monday, September 14, 2015

Thoughts on the Week of iMath...

In lieu of asking everyone to take a survey from youcubed (Jo Boaler), feel free to make any comments about the Week of iMath right on this blog.  Some prompting thoughts...

  • How was engagement?
  • Which activities seemed to work well?
  • What about students with needs?
  • Did the tasks help form group norms?  Group cohesiveness?
  • How well were you able to integrate the Math Practices?
  • Others?
Youcubed at Stanford University

Wednesday, March 18, 2015

Math Practice #3 - Construct Viable Arguments and Critique the Reasoning of Others

Math Practice #3 is all about listening, analyzing, and responding to others viewpoints.  In a nutshell - this is authentic classroom discourse.  

If a student is proficient in Math Practice #3 they can:
  • Analyze problems and use stated mathematical assumptions, definitions, and established results in constructing arguments.
  • Justify conclusions with mathematical ideas.
  • Listen to the arguments of others and ask useful questions to determine if an argument makes sense.
  • Ask clarifying questions or suggest ideas to improve/revise the argument.
  • Compare two arguments and determine correct or flawed logic.
In the classroom, it is important for teachers to be able to prompt this thinking without giving it away.  The article Convince Me by Wendy Petti describes the implementation of this practice in the classroom where students need to take ownership of the problem.  

Below are some actions that should be seen in the classroom by students and teachers along with some examples of open ended questions that can be used for almost any scenario.  

Wednesday, January 21, 2015

Using Math Practice #1 - Make Sense of Problems and Persevere in Solving Them

Math Practice #1 is, as Rena Sabey puts it..."Math Sweat."  The title of the practice really says everything about it.  Students are able to approach rigorous problems in a logical systematic way to help them sustain and reach a conclusion.

If a student is proficient in Math Practice #1 they can:

  • Explain the meaning of the problem.
  • Find entry points to the problem.
  • Plan a solution.
  • Compare this situation to other similar problems they may have solved in the past.
  • Keep track of their progress towards the solution.
  • Determine if their method was the most effective.
This poster was made a few years back by teachers in the district.  It sums it up pretty well.

Houghton Mifflin Harcourt put out this guide to prompting students towards MP #1 in 2012.  It helps to facilitate questioning without giving the answer away.
  • What is the problem asking?

    • How will you use that information?
    • What other information do you need?
    • Why did you choose that operation?
    • What is another way to solve that problem?
    • What did you do first? Why?
    • What can you do if you don’t know how to solve a problem?
    • Have you solved a problem similar to this one?
    • When did you realize your first method would not work for this problem?
    • How do you know your answer makes sense?

    In the blog replies below, feel free to share how you are using MP #3 so we can all grow and learn together.