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Improving Students’ Critical-Thinking Skills through Mathematical Inquiry Pamela Norris

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What is critical thinking?

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Attributes of a critical thinker: asks pertinent questions assesses statements and arguments is able to admit a lack of understanding or information has a sense of curiosity is interested in finding new solutions listens carefully to others and is able to give feedback

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Attributes of a critical thinker: (cont.) looks for evidence to support assumptions and beliefs is able to adjust opinions when new facts are found looks for proof examines problems closely is able to reject information that is incorrect or irrelevant (Ferret, S. Peak Performance, 1997)

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HOW?

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CLASSROOM ROUTINES

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Math Journals

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Math Journal Rubric 1. Correct answer 2. Draws picture to show answer 3. Writes an explanation of answer 1. Correct answer 2. Draws picture to show answer OR writes an explanation of answer Correct answer only Uh oh! I need more think time.

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“Snip it & stick it”

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Solve Ted has 38 pieces of candy. He has 4 friends. If each friend gets the same amount, how many will each friend have? Will there be any left over?

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Magic Number

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Literature

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Card Games

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Daily Data Graphs

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Calendar

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Lunch Order Wheel

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How Many Pockets?

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Estimation Station

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WHY?

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Principles for School Mathematics Equity Principle Teaching Principle Learning Principle Assessment Principle

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Equity Principle Excellence in mathematics education requires equity-high expectations and strong support for all students.

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Teaching Principle Effective mathematics teaching requires understanding what students know and need to learn and then challenging and supporting them to learn it well.

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Learning Principle Students must learn mathematics with understanding, actively building new knowledge from experience and prior knowledge.

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Assessment Principle Assessment should support the learning of important mathematics and furnish useful information to both teachers and students.

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Share & Reflect

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