math games to build skills and thinking cathy carter consultant
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Math Games to Build Skills and Thinking
Math Games to Build Skills and Thinking
Cathy Carter
Consultant
http://www.cmath2.com
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What is “Computational Fluency”?
What is “Computational Fluency”?
“connection between conceptual understanding and computational
proficiency”(NCTM 2000, p. 35)
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Conceptual Computational Understanding Proficiency Conceptual Computational Understanding Proficiency
Place value
Operational properties
Number relationships
Accurate, efficient, flexible use of computation for multiple purposes
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. . .regular experience with meaningful procedures so students develop and draw on mathematical understanding even as they cultivate computational proficiency.
Balance and connection of understanding and proficiency are essential, particularly for computation to be useful in “comprehending” problem-solving situations.
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BenefitsBenefits
Should be central part of mathematics curriculumEngaging opportunities for practiceEncourages strategic mathematical thinkingEncourages efficiency in computationDevelops familiarity with number system and compatible numbers (landmark)Provides home school connection
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Where’s the Math?Where’s the Math?
What mathematical ideas or understanding does this game promote?
What mathematics is involved in effective strategies for playing this game?
What numerical understanding is involved in scoring this game?
How much of the game is luck or mathematical skill?
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Games Require ReflectionGames Require Reflection
Games need to be seen as a learning experience
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Where’s the Math?Where’s the Math?
What is the goal of the game? Post this for students.Ask mathematical questions and have students write responses.Model the game first, along with mathematical thinkingEncourage cooperation, not competitionShare the game and mathematical goals with parents
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ExtensionsExtensions
Have students create rules or different versions of the games
Require students to test out the games, explain and justify revisions based on fairness, mathematical reasoning
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PigPig
Jeopardy Dice Game
Why is it classified as a “Jeopardy” game?
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Goals for PigGoals for Pig
Practice mental math or paper/pencil addition (multiplication)
Suggest and test strategies to win
What math knowledge is helpful to come up with winning strategies?
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Games websitesGames websites
www.mathwire.comhttp://childparenting.about.com/od/makeathomemathgames/http://www.netrover.com/~kingskid/Math/math.htmhttp://www.multiplication.com/classroom_games.htmhttp://www.awesomelibrary.org/Classroom/Mathematics/Mathematics.htmlhttp://www.primarygames.co.uk/http://www.pbs.org/teachers/math/