Showing posts with label Problem Solving. Show all posts
Showing posts with label Problem Solving. Show all posts
"Problem solving plays an important role in mathematics and should have a prominent role in the mathematics education of K-12 students." ~NCTM (National Council of Teachers of Mathematics)
 
I love teaching math and I love using manipulatives to teach math.  Open-ended math problems are one of my favorite ways to teach math because they allow my students to see there can be more than one way to solve a problem and there can be more than one answer to a problem.  It also shows them that just because their friend solves the problem one way, it doesn't mean they have to solve it the same way.
 
We have been working a lot on addition and I wanted an open-ended problem for my students to solve.  I came up with a problem where my students used red and yellow counters to add.  
The problem was: I have some red and some yellow counters.  How many counters do I have?
 
To introduce the lesson, I read the problem to my students and we really discussed it together.  Before they went to work I had them share with a friend how many red and how many yellow counters they planned to put on their paper.  This discussion really helps them to get an idea in their head and it also helps students who might be struggling with an idea to hear an idea from a friend.
 
I put baskets in the middle of their tables so they could share manipulatives.

I love how this friend colored the top of the organizer the colors of the counters.  My students even noticed that when we shared their work!
  
I was so impressed with their work and I said to my kids, "You all ROCKED that!!"  And one of my kindergarten friends replied back, "Oh yes we did rock that!!"  I love when they get excited about their learning! 

I told my students they could trace the counters if they wanted or they could just draw the circles. 

 I thought it was really neat how some of my students arranged their counters in the same way that they see them on the dot cubes!
 
After they finished we came back together as a class to share the different ways they solved the problem.  I think sharing their work is really important not only so their peers can see what they did, but so they get comfortable with speaking in front of their classmates.
 
My kiddos did such a great job with this and I wanted to share it so that you can try it with your students too!  Just click the image below to grab your FREE download.  If you use it with your students, I'd love to hear about it!
https://drive.google.com/file/d/0B-kLuB6C2FdhazIwbm5sa1ZwSUk/view?usp=sharing
 
You might also be interested in my word problems pack in my Teachers Pay Teachers Store.  Just click the image to check it out!
https://www.teacherspayteachers.com/Product/Word-Problems-1821429
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Hi everyoneI wanted to share some of what we have been doing during math in kindergarten!
 
We have been doing a lot with comparing numbers and using math vocabulary - greater than, less than, and equal.  It is kindergarten standard K.CC.6 in Common Core -
"Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group, e.g., by using matching and counting strategies (Include groups with up to ten objects)." 
 
I decided to use a leaf problem solving activity with my students.  I wanted an open-ended problem for them to solve because I like having different answers to problems.  This way my students can see there are many ways of solving one problem. 
    
I first started off with a "Notice and Wonder" activity to get them thinking about the problem.  If you want to read more about the "Notice and Wonder" strategy, check it out here.  It's basically a great way to get your students thinking about a problem by sharing what they notice and what they wonder about the problem.  I love using this strategy with my students and you can use it across all subjects.  (Sorry this picture came out a little more blurry than I realized!)

We then went over the problem and talked about how many of each color they would put on their tree.  We discussed if that would work and why or why not.  Then, they got to work!
  
My students did such a great job with this!  Here is some of their finished work:
 
I have this as a FREE download for my blog readers!  Just click the image to download.  I hope you and your students enjoy it!
https://drive.google.com/file/d/0B-kLuB6C2FdhOFp5ME01ZS12Ym8/view?usp=sharing
 
Some helpful tips about the lesson:
*I gave my students 10 leaves, but you could give more or less to students, depending on the needs of your students.
*In the document I have also created a problem using less than.  You can decide which problem you want to use with your students.
 
Have a super rest of the week! 

Oh and I almost forgot to mention...now you can find my blog at www.recipeforteaching.com!!!  So exciting!
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