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19 Cards in this Set
- Front
- Back
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Statistics of math failure?
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78% adults can't compute loan interest
71% adults can't calculate miles per gallon 58% adults can't calculate 10% tip |
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Two Main causes of Math Anxiety?
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Experience of Failure and Teacher Beliefs
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Teacher Anxiety affect on performance?
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Teacher anxiety influences Gender ability beliefs, which influences Girls' math achievement
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What type of memory is used for solving successful math problems?
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Working memory
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Preparing Kids for kindergarten
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Idea of numbers and number magnitude in everyday life activities
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Pre-Kindergarten math activity
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Picnic game played with parents
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Number Books and Game Intervention Study
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Intervention involved reading story books with math in them and played games in which the ending was determined by chance.
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The Great Race Intervention Study
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Chutes and Ladders type of game is played
-Before and after the children's' ability statistics on counting, number line estimation, numerical magnitude comparison, and numeral identification was recorded. |
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Should we use symbolic notation to help children learn math?
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No, manipulative/concreteness is recommended even though there is not enough research proving this method superior over more traditional teachings.
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Concrete or abstract?
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Concrete is good and abstract is not appropriate for the earlier years of children's learning
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Is mastering symbolic relations important when learning mathematics?
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Yes, children need to understand the concept behind what the manipulatives represent
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What can interfere with the child's comprehension with the symbolic nature of the manipulative?
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Familiar objects
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What are the best kind of manipulative objects?
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Those that are used for solely learning mathematics. Base Ten Blocks for example help with the understanding of place value, addition and multiplication
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Procedural Skills
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Ability to execute action sequences to solve problems
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Conceptual Skills
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Implicit or explicit understanding of principles that govern a domain and the interrelations of the units of knowledge in the domain
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What skills does the US focus on when teacher math?
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Conceptual Skills. However, procedural memory is important in order to free up working memory space to make room for complex aspects of problem solving
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How is the amount of working memory used to solve a problem estimated?
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Resources are correlated with the number of steps used to solve a problem
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What is the Algebra Tutor and what does it do?
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It is a computerized tutor program (obviously)
Includes: -procedural practice until skill learned -moves to harder skill -makes use of concep. and proce. instructions -uses error monitoring to understand students current knowledge state |
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Conclusions?
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-Need methods to reduce math anxiety, one of which is emphasizing role of effort in math
- Just as kids need pre-literacy skills, they need pre-math skills prior to kindergarten - Elementary math needs to focus on conceptual and procedural understanding, and concrete, real-life representations can help but be careful. Working memory interventions potentially promising. - Algebra is a bottleneck, but with the right curriculum it can be learned by almost everyone |
