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NCTM Principles and Standards

NCTM Principles and Standards. Sept. 15, 2008 Math 423 Lisa Lunney Borden. Thought provoking quotes!.

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NCTM Principles and Standards

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  1. NCTM Principles and Standards Sept. 15, 2008 Math 423 Lisa Lunney Borden

  2. Thought provoking quotes! • It is a curious feature of mathematics education that we expect and encourage exploratory and playful mathematical activity in very young children, and in advanced research mathematicians, but in between we sit students down to do exercises and listen to teachers or lecturers explain how it is. (Barton, 2008, p.149)

  3. Explaining Investigating Exploring Interpreting Analyzing Describing Deriving Reasoning Justifying Proving Conjecturing Calculating Examining Constructing Grappling Engaging The Verbs of Doing Mathematics

  4. Principles • Equity • Curriculum • Teaching • Learning • Assessment • Technology

  5. The Equity Principle • High expectations and strong support • Opportunity for coherent, challenging mathematics curriculum • High quality instruction • All students can learn

  6. The Curriculum Principle • Interconnected and cumulative • Focus on important mathematics – preparation for continued study and problems solving in new situations • Should not involve a great deal of reviewing content

  7. The Teaching Principle • Teachers must know and understand deeply the mathematics they teach • Creating an intellectual environment – serious engagement in mathematical thinking • Professional; continual learning

  8. The Learning Principle • Conceptual understanding is key • Combine factual knowledge, procedural facility and conceptual knowledge • Flexibility and perseverance • Challenged appropriately to develop confidence • Constructing knowledge

  9. The Assessment Principle • More than the test - guides teaching and enhances learning • Evidence of mathematical learning through multiple ways • Focus on understanding • Informs classroom practice

  10. The Technology Principle • Enhances student learning and allows for deeper investigation • Every student should have access to technology • Used prudently as a tool and not a substitute for good thinking

  11. Content Number & Operation Patterns & Algebra Geometry Measurement Data Management & Probability Process Problem Solving Reasoning & Proof Communication Connections Representations Standards

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