Differentiating Instruction in the Math Classroom Sujata Ganpule Emily Kennedy Andrew Lee 2005 Math...

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Differentiating Differentiating Instruction Instruction in the Math Classroom in the Math Classroom Sujata Ganpule Emily Kennedy Andrew Lee 2005 Math Fellows Ashleigh Lewis Arielle Pool Derek Pope (with help from Amy Germundson)

Transcript of Differentiating Instruction in the Math Classroom Sujata Ganpule Emily Kennedy Andrew Lee 2005 Math...

Page 1: Differentiating Instruction in the Math Classroom Sujata Ganpule Emily Kennedy Andrew Lee 2005 Math Fellows Ashleigh Lewis Arielle Pool Derek Pope (with.

Differentiating InstructionDifferentiating Instructionin the Math Classroomin the Math Classroom

Sujata GanpuleEmily Kennedy

Andrew Lee

2005 Math FellowsAshleigh Lewis

Arielle PoolDerek Pope

(with help from Amy Germundson)

Page 2: Differentiating Instruction in the Math Classroom Sujata Ganpule Emily Kennedy Andrew Lee 2005 Math Fellows Ashleigh Lewis Arielle Pool Derek Pope (with.

Sujata Ganpule –

Emily Kennedy –

Andrew Lee –

Ashleigh Lewis –

Arielle Pool –

Derek Pope –

[email protected]

[email protected]

[email protected]

[email protected]

[email protected]

[email protected]

Page 3: Differentiating Instruction in the Math Classroom Sujata Ganpule Emily Kennedy Andrew Lee 2005 Math Fellows Ashleigh Lewis Arielle Pool Derek Pope (with.

What Is Differentiation?What Is Differentiation?

• Easy questions vs. hard questions

What It Isn’t… What It Is…

• Questions that encourage growth

• Drill-and-kill vs. higher-level thinking

• Respectful and meaningful tasks

• Different groups working onunrelated tasks

• All students working toward the samebig idea

• Flexible grouping• In-class tracking

Page 4: Differentiating Instruction in the Math Classroom Sujata Ganpule Emily Kennedy Andrew Lee 2005 Math Fellows Ashleigh Lewis Arielle Pool Derek Pope (with.

Why Do We Differentiate?Why Do We Differentiate?

Motivation

LearningProfile

Growth

Readiness

Page 5: Differentiating Instruction in the Math Classroom Sujata Ganpule Emily Kennedy Andrew Lee 2005 Math Fellows Ashleigh Lewis Arielle Pool Derek Pope (with.

How Can We Differentiate?How Can We Differentiate?

Foundational Transformational

Simple Complex

Single Facet Many Facets

Small Leap Great Leap

More Structured More Open

Slow Quick

Concrete Abstract

Adapted from C. Tomlinson

Page 6: Differentiating Instruction in the Math Classroom Sujata Ganpule Emily Kennedy Andrew Lee 2005 Math Fellows Ashleigh Lewis Arielle Pool Derek Pope (with.

How Have We Differentiated?How Have We Differentiated?

Andrew – Calculus Activities(by learning profile)

Arielle – Mark & Recapture (Proportions)(by readiness)

Ashleigh – Solving Linear Systems Graphically(by learning profile)

Derek – Summary of Probability Concepts(by readiness)

Emily – NASA Space Launch (Quadratics)(by learning profile)

Sujata – Cell Phone Plans (Linear Equations)(by learning profile)

Page 7: Differentiating Instruction in the Math Classroom Sujata Ganpule Emily Kennedy Andrew Lee 2005 Math Fellows Ashleigh Lewis Arielle Pool Derek Pope (with.

How Have We Differentiated?How Have We Differentiated?

Analytical

Ability to analyzeand evaluate ownideas and those of

others.

• Organize the parts/steps of ____.

• Diagram how ____ affects ____.

• Give a step-by-step approach to ____.

Creative

Ability to generatenovel ideas, reactto new stimuli, andsynthesize ideas.

• Find a new way to show ____.

• Use new materials to explain ____.

• Make connections between ___ & ___.

Practical

Ability to solvereal-life problems,& convince others

of ideas’ value.

• Show how someone could use ____ in his or her job.

• Here’s a problem at school. Address it using ____.

Page 8: Differentiating Instruction in the Math Classroom Sujata Ganpule Emily Kennedy Andrew Lee 2005 Math Fellows Ashleigh Lewis Arielle Pool Derek Pope (with.

How Can How Can YouYou Differentiate? Differentiate?

Algebra 1 – – Linear Relationships(by readiness)

Ashleigh

Algebra 2 – – Equations of Polynomials(by readiness)

Arielle

Geometry – – Distance b/t a point & a line(by learning profile)

Emily

Probability – – “or” Probability(by readiness)

Sujata

Precalculus – – Solving Quadratic Trig Equations(by readiness)

Derek

Calculus – – Extreme Values of a Function(by learning profile)

Andrew

Page 9: Differentiating Instruction in the Math Classroom Sujata Ganpule Emily Kennedy Andrew Lee 2005 Math Fellows Ashleigh Lewis Arielle Pool Derek Pope (with.

How Can How Can YouYou Differentiate? Differentiate?• What are the big ideas involved?• What should students…

• Know?• Understand?• Be able to do?

• Scaffolding• Structure• Guidance

• Creative• Practical• Analytical

  

ReadinessLearning

Profile

Page 10: Differentiating Instruction in the Math Classroom Sujata Ganpule Emily Kennedy Andrew Lee 2005 Math Fellows Ashleigh Lewis Arielle Pool Derek Pope (with.

How How DidDid YouYou Differentiate? Differentiate?

  

Page 11: Differentiating Instruction in the Math Classroom Sujata Ganpule Emily Kennedy Andrew Lee 2005 Math Fellows Ashleigh Lewis Arielle Pool Derek Pope (with.