The National Council of Mathematics NCTM and The National Science Education Standards NSES

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The national Council Of Teachers of
Mathematics And The National Science
Education Standards Implications for
Integration By Diane Ellis and Michael
OConnor
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Attributes of the NCTM Standards

• Kindergarten through Grade 12
• Each Standard consists of 2-4 goals
• Goals apply to all grade levels
• Process Standards provide a construct
• Contribute to an integrated curriculum

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What are the Standards?

• 1. Number Operations
• 2. Algebra
• 3. Geometry
• 4. Measurement
• 5. Data Analysis Probability
• 6. Problem Solving
• 7. Reasoning Proof
• 8. Communication
• 9. Connections
• 10. Representation

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Standard Breakdown

• Mathematics/Science Integration
• A Problem-Based Approach

Number Operations Measurement Data Analysis
Probability
Communication Representation Connections
Reasoning Proof Algebra Geometry
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The NCTM Vision for Science Integration

• Geometry
• interpret and reflect on the physical
  environment
• serves as a science tool

bringing forward justification skills
creating relationships through deductive
reasoning
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Creating Extensions

• Paradoxes broaden, stimulate, and solidify
  
• Discrepant events teachable
  moments
• Problem and inquiry based learning
• Translating new knowledge
• Student directed philosophy

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Implementing Connections
Taking risks, sharing failures and successes
Intrinsic motivation

• Viewing mathematics as a whole
• Taking action in daily life
• Communicating ideas based on solutions

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Reinforcing the Standards
http//www.nctm.org/dialogues
http//illuminations.nctm.org/

• Resource value
• Links affiliates elucidate integration
• User name mrmike178_at_hotmail.com, Password
  VTNXSO

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Opposing Viewpoints

• Former Editor Louis Smothers
• Lengthly Standards
• Be creative!
• Educators making the effort
• Building Connections on our own

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Corresponding Principles
Technology
Assessment
Learning
Teaching
Curriculum
Equity

• Responsibility to students and standards
• Invigorating intrinsic motivation
• Waves of pedagogy for student needs