Developing Multiplicative Thinking- Foundations of Multiplicative - - PowerPoint PPT Presentation

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Developing Multiplicative Thinking- Foundations of Multiplicative - - PowerPoint PPT Presentation

Developing Multiplicative Thinking- Foundations of Multiplicative Thinking with Julie Adams Welcome! Your host Julie Adams Regional Consultant Kentucky Center for Mathematics jaadams2@moreheadstate.edu KCM Website


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Developing Multiplicative Thinking-

Foundations of Multiplicative Thinking with Julie Adams

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Welcome!

Your host

Julie Adams

Regional Consultant Kentucky Center for Mathematics jaadams2@moreheadstate.edu

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KCM Website

https://www.kentuckymathematics.org/

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Agenda

  • A look at the Ky Academic

Standards in the early grades

  • What is Multiplicative thinking?
  • Progression of Mathematical

Reasoning

  • Counting Strategies to Additive

Strategies

  • Activities to Support Multiplicative

thinking

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Standards

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Multiplicative Thinking: Definition

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Progression of Mathematical Reasoning

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Development of Reasoning

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Why is it important?

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What are some consequences?

Students should be learning additive reasoning but… 28+12 Students should be learning multiplicative reasoning, but… 99 x 47

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Counting Strategies vs. Additive Strategies

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Additive Strategies

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Multiplicative Thinking

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How to assess student reasoning?

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Developing Multiplicative Thinking-Introduction to Arrays

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Resources from Our Website - KNPIG

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Equal Groups

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Building Arrays

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Moving from Additive to Multiplicative Thinking

https://drive.google.com/drive/folders/0B7ZFa FZdreqGVWpxeHVwc1lxSnc

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Images to Support Multiplicative Thinking

https://mathvisuals.wordpress.com/multiplication-division/

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Resources to Support Multiplicative Thinking

  • Subitizing to Support Multiplicative Thinking
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Same/Different

https://docs.google.com/presentation/d/1S0lK-bcg-ZiiGTYKGcVMgootYv-DfgGzr-ib--N0tl0/edit#slide=id.g746caad312_0_417

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Illuminating Multiplicative Relationships found in Nature

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Examples of Contextual Arrays

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Making Decisions

Where do you fit in the development of student reasoning? How can you delay traditional algorithms? How can you emphasize reasoning

  • ver rote? How can you

celebrate students wherever they are while always working to develop further?

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Upcoming Virtual Professional Learning

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Visit Our Website

https://www.kentuckymathematics.org/kcm_virtual.php

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KCM is here to support you!

Contact me:

Julie Adams

Regional Consultant Kentucky Center for Mathematics jaadams2@moreheadstate.edu