Thursday, September 5, 2013

Math Exploration

Our children are working to develop strong math problem solving skills.  Are kindergartners are being introduced to the Standards for Math Practice and these strategies will follow them throughout their educational journey.  There are 8 standards on which we are building our foundation.  They are:

  1. Make sense and persevere in solving problems.  We are striving to show our students that there are many strategies we can use to solve a problem.  We are also learning that it is important to keep trying and not give up when a problem might be difficult.  The process is as important as finding the answer as we grow as learners.
  2. Reason abstractly and quantitatively.  Good math students in kindergarten begin to use numerals to represent specific amounts (quantity).  We learn to use symbols to represent numbers and mathematical ideas and discuss how and why things work.
  3. Construct viable arguments and critique the reasoning of others.  In kindergarten we are working to clearly express, explain, and organize our thinking.  We use words and symbols to explain our work and we talk about our strategies.
  4. Model with mathematics.  In our kindergarten class we begin to experiment with representing real-life math problems in a variety of ways.  We draw, act out, use manipulatives, and develop number sentences (equations) to show our work.  
  5. Use appropriate tools strategically.  Proficient kindergarten math students begin to explore a variety of tools to use to solve problems.  
  6. Attend to precision.  I love to hear a kindergartner say, "I will be precise."  They know it is important to work carefully, strategically, and to produce their best quality work to be successful.
  7. Look for and make use of structure.  Our young mathematicians  begin to look for patterns and structure in our number system and other areas of math.  We use our previous knowledge ("what we know about numbers") to help us solve problems.  
  8. Look for and express regularity in repeated reasoning.  In kindergarten we begin to examine repetitive actions in geometry, counting, and in comparing numbers and shapes.  For example when counting we will explore how the pattern 1-9 is repeated for each decade set (twenty-ONE, twenty-TWO - thirty-ONE, thirty-TWO etc...).

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