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Framing the Decision, Page 1 Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math in the Real World Framing the Decision

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Page 1: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

Decision Analysis – Math in the Real World

Framing the Decision

Page 2: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 2Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

Lesson Plan

• Definitions

• Look for hidden assumptions

• Communication can improve framing

• Conscious framing can create clarity

• The right frame is crucial for a good decision

(Supplemental reading if interested: Winning Decisions by J. Edward Russo and Paul Schoemaker.)

Page 3: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 3Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

A helpful frame leads to better decisions.

Elements ofA Good Decision

HelpfulFrame

What is it that I am deciding?

CreativeAlternatives

What are my choices?

UsefulInformation

What do I know?

Clear Values

What consequences do I care about?

SoundReasoning

Am I thinking straight about this?Commitment

to Follow Through

Will I really take action?

Page 4: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 4Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

What is the definition of “frame”?

• Cognitive scientists define frames as “mental structures that simplify and guide our understanding of a complex reality”.

• A frame sets the purpose, scope, and perspective for a decision.

– It answers the question “What am I deciding?”

• Analogy: framing a camera shot

PurposeScopePerspective

Page 5: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 5Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

What issues does this frame suggest?

Grand Fey Viaduct, Switzerland - 1925

Page 6: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 6Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

What issues does this frame suggest?

Grand Fey Viaduct, Switzerland - 1925

Page 7: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 7Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

What issues does this frame suggest?

Grand Fey Viaduct, Switzerland - 1925

Page 8: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 8Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

Lesson Plan

• Definitions

– A frame provides the purpose, scope, and perspective

• Look for hidden assumptions

• Communication can improve framing

• Conscious framing can create clarity

• The right frame is crucial for a good decision

Page 9: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 9Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

A father and son are in a terrible accidentThe father is killed instantlyThe son is rushed to the hospital’s ER

When the operation starts, the surgeon cries:“My goodness, that is my son; I can’t operate on him!”

How is this possible?

A Riddle

Page 10: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 10Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

How many squares are there below?

Page 11: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 11Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

30 squares in total

(1 x 1): 16 squares

(3 x 3): 4 squares

(2 x 2): 9 squares

(4 x 4): 1 square

The Solution…

Page 12: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 12Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

How many equilateral triangles can you create with 6 toothpicks?

Page 13: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 13Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

Lesson Plan

• Definitions

• Look for hidden assumptions

– Consciously stretching the frame can create a better decision and result.

• Communication can improve framing

• Conscious framing can create clarity

• The right frame is crucial for a good decision

Page 14: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 14Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

(“Perspectives” Game)

Page 15: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 15Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

Pat’s Problem

• Pat has been late to work several times recently because of an unreliable car. This is causing problems for Pat at work.

• What are some different decision-frames that Pat could bring to this problem?

Page 16: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 16Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

Pats Problem

• Leave Earlier• Move closer to work• Buy a new car• Car Pool• Bike / Roller blades• Bus-public transportation• Repair-make car more reliable• New work hours• Finances• Change jobs• Retire• Job share• Sleep in car at work site• Talk boss into company car• Have wife/girlfriend drop off at work

Page 17: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 17Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

Pats Problem

• Is there anything that we wrote down as a group that you did not think of on your own?

• To get a good frame – include different people

• Different people see different situations differently and you can get more ideas for a frame to a problem

Page 18: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 18Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

What is it?

Page 19: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 19Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

What is it?

Page 20: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 20Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

What is it?

Page 21: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 21Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

What is it?

Page 22: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 22Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

What is it?

Page 23: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 23Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

What is it?

Page 24: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 24Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

The Blind Men and the Elephant

© 2003 by Decision Strategies International. All rights reserved.

Page 25: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 25Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

Lesson Plan

• Definitions

• Look for hidden assumptions

• Communication can improve framing

– Learning from others who see things differently can lead to a better frame.

• Conscious framing can create clarity

• The right frame is crucial for a good decision

Page 26: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 26Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

© 2003 by Decision Strategies International. All rights reserved.

Page 27: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 27Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

© 2003 by Decision Strategies International. All rights reserved.

Page 28: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 28Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

© 2003 by Decision Strategies International. All rights reserved.

Page 29: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 29Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

© 2003 by Decision Strategies International. All rights reserved.

Page 30: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 30Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

Save the Last Dance

• Sara: Fish out of water – a suburban ballerina in the hip-hop city

• Derek: On his way to Georgetown and medical school, a success-story in the making

• They meet. They dance. They fall in love…

• Trouble! Their families and friends want to separate them. They fight the world. Can their love survive?

• As Sara and Chenille (Derek’s sister) talk, let’s go to the videotape…

Page 31: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 31Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

Lesson Plan

• Definitions

• Look for hidden assumptions

• Communication can improve framing

• Conscious framing can create clarity

– Decisions (and life) can be ambiguous. Consciously choosing a frame can create clarity, provide insight, and highlight multiple views.

• The right frame is crucial for a good decision

Page 32: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 32Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

Page 33: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 33Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

Page 34: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 34Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

Which horizontal line is longer?

© 2003 by Decision Strategies International. All rights reserved.

Page 35: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 35Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

The Value of a Good Frame

© 2003 by Decision Strategies International. All rights reserved.

Page 36: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

© 2002 by Strategic Decisions Group. All rights reserved.

Page 37: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 37Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

Issues Decisions

• No other life• In the creek without a paddle• He might be lost• There are mountains and trees

and a river• He’s in the wilderness• Brown mountains (10 sets)• Snow• Green trees, dark green, light

brown• Man going down river in boat• It seems like the river should be

frozen

• I need to get out to find a paddle.

• Should I get out of the boat to gather supplies?

• Is he going to get out of the boat?

Page 38: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 38Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

© 2002 by Strategic Decisions Group. All rights reserved.

Page 39: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 39Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

Issues Decisions

• There are 3 trees

• He’s in a boat in a stream

• Is alone

• Trees in the top left corner

• River bright blue

• Boat two shades brown

• No face

• No hair

• No boundries

• No oars

Jump out or stay in?

Should I keep going in the boat?

Whether to look ahead or behind?

Page 40: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 40Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

© 2002 by Strategic Decisions Group. All rights reserved.

Page 41: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 41Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

Issues Decisions

• Rocks• Waterfall• Depth of the water• Can he swim?• Has he been alone the whole

time?• Strength of the boat• Where is he going?• How did he get to where he is?• Trees on both sides of river• Looks like this is a waterfall.• What is the temperature of the

water?

• Should he turn around?• Should he jump out of the boat?• Should he stay in the boat?• Should he wait for help?• Should he call for help with cell

phone?• Yell for help.• How should we get off this

river?• How can we avoid the

waterfalls?

Page 42: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 42Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

How does this picture apply to your decisions? To your students’ decisions?

Decisions: Decisions:

© 2002 by Strategic Decisions Group. All rights reserved.

Issues: Issues:

Decisions:

Issues:

Write at least 5 issues and 3 decisions that could or should be made from each frame.

Page 43: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 43Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

Lesson Plan

• Definitions

• Look for hidden assumptions

• Communication can improve framing

• Conscious framing can create clarity

• A helpful frame is crucial for a good decision

– The wrong frame can be misleading, and the right frame can be of enormous value.

Page 44: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math

Framing the Decision, Page 44Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved.

Page 45: Framing the Decision, Page 1Decision Analysis Course, August 2003 © 2003 by Decision Education Foundation. All rights reserved. Decision Analysis – Math