Saturday, August 15, 2015

Math Linky Reasoning and Measurement {Weeks 6 and 7!}

Ok.  So school started back and I'm a little behind on my posts for our linky series on number sense!  I'm going to combine week 6 and 7!  Laura with Kinder Kraziness is hosting week 6 on Reasoning Strategies {here} and Marsha with Differentiated Kindergarten is hosting week 7 on Measurement {here}.  Make sure to visit them to read their wonderful ideas. You can link up your ideas on their pages as well.

Differentiated Kindergarten

Week 6: Reasoning Strategies

According to Marilyn Burns, you should always question students about their reasoning strategies.  You should do this when they are right AND when they are wrong.  This provides opportunities for deeper understanding and encourages alternate ways of looking at problems. 

    Questioning Students: Prove It! are all familiar with the teacher look.  I've had to really work hard on my facial expressions over the last few years.  When you call on a student to provide an answer and they give you something totally off the wall it is really hard not to react with your face.  However, you need to re-train yourself to not give it the answer right or wrong? Good question.  :)  I like to tell my students to PROVE IT.  They give me an answer, I act like I do not know if they are right or wrong, and then I have them prove it to the class.  I will tell you that most always my students who give wrong answers initially end up identifying their mistake during their explanation.  That's what we want.  When kiddos find their own mistakes and are able to correct them in the moment they are more likely to remember to apply their new learning in the future.  Click on the image or here to download you own copy of the "Prove It" sign.  I keep my on the wall in my carpet area as a reminder for students.

    Alternate Ways of Solving Problems

    One of the ways we practice reasoning strategies is by seeing how many different ways we can solve a problem.  For example, if my students were solving the number bond above I would have multiple students demonstrate different ways of solving it.  These could include:
    • base ten (one group of ten + 6 ones = 16)
    • 16 -10 =
    • 10 + 6 =
    This helps our students build number sense and become comfortable with the connection between addition and subtraction.

    Visible Thinking Routine: CSI

    Traditionally a CSI stands for color, symbol, image and I use it primarily with reading.  After reading a story, my students give me a color for the story (like black for Tacky the Penguin or green for Hide, Clyde!), a symbol that encompasses the story and an image that pops into their brain when they think about the story.  For The Greedy Triangle a student might give you: 

    • Color: green for greed
    • Symbol: a wand to represent the "poof" from shape to shape
    • Image: 2 friends holding hands to show the friendship and loyalty of the triangle's friends
    You could even modify the color part by changing it to number or shape to go along with your math lesson.


    Week 7: Measurement

    Measurement is a fun way to use concrete experiences that lead to further investigations.  It takes estimation (week 5) to the next level.
    I also love how it gives students opportunities for selecting tools and using appropriate units.  We usually start with unifix cubes, links, paper clips or anything thematic that we are studying.

    Visible Thinking Routine: Think, Puzzle, Explore

    A Think, Puzzle, Explore routine is similar to a traditional KWL chart.  One huge difference though...a KWL is more fact-driven and a TPE is more inquiry-driven. It allows for connections with prior knowledge and encourages inquiry and curiousity.  It also helps to see what direction your students are wanting to take the unit of study.  Here's a TPE my class did at the beginning of our measurement unit.  Forgive the was an in the moment chart and I was writing their input as fast as I could!

    Connections with Literature

    Here are a few book suggestions that encourage reasoning and measurement.

    I hope you were able to get some new ideas from this post.  Thanks for reading. :)
    Make sure to check back for our final week on math fluency!

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