NCTM Academy

NCTM AcademyNCTM Academy

AssessmentAssessment

Elementary MathematicsElementary Mathematics

Day 2Day 2

Peggy’s Picking Pockets!Peggy’s Picking Pockets!

Case Study TimeCase Study Time

If math were . . .If math were . . .

An Animal . . .An Animal . . .

A Car . . .A Car . . .

A Color . . .A Color . . .

A Food . . .A Food . . .

A Time of day. . .A Time of day. . .

If assessment were . . .If assessment were . . .

A weather condition . . .A weather condition . . .

A piece of furniture . . .A piece of furniture . . .

A vegetable . . .A vegetable . . .

A dessert . . .A dessert . . .

A vacation destination . . .A vacation destination . . .

“The most harmfulmisconception is thatmathematics isessentially computation.This is roughly equivalentto believing that writingessays and typing themup are t he same thing.”

J ohn Allen Paulos

Pizza – “closed”Pizza – “closed”

You and 2 friends have two pizzas to You and 2 friends have two pizzas to share. How would you cut the pizzas share. How would you cut the pizzas in order to share equally?in order to share equally?

Pizza (open ended)Pizza (open ended)

You and 2 friends have two pizzas to You and 2 friends have two pizzas to share. How many different ways could share. How many different ways could you cut the pizzas in order to share you cut the pizzas in order to share equally? equally?

What ifWhat if

. . . only one person likes the “bones”?. . . only one person likes the “bones”?

. . . only two people like the “bones”?. . . only two people like the “bones”?

. . . no one wants the “bones”?. . . no one wants the “bones”?

. . . you want only square pieces?. . . you want only square pieces?

Lifelines for Mathematics Lifelines for Mathematics StudentsStudents

. . . Throw out the Lifeline . . .

Doing my research I Doing my research I found . . .found . . .

Discount LifelinesDiscount Lifelines

Lifelines for sale Check out the deals now! Lifelines for sale Check out the deals now! Aff Sponsored by: Aff Sponsored by: http://www.ebay.com/http://www.ebay.com/

LifelinesLifelines: Support and friendship for prisone: Support and friendship for prisoners on Death Row in ...rs on Death Row in ...

Support and friendship for prisoners on Support and friendship for prisoners on Death Row in the United States.Death Row in the United States.http://www.lifelines.org/http://www.lifelines.org/

Who wants to Who wants to be . . .be . . .

A mathematician??A mathematician?? A mathematics teacher???A mathematics teacher???

AA

- Lifelines - - Lifelines -

Ask the audienceAsk the audience 50/5050/50 Phone a friendPhone a friend Ask the expertsAsk the experts

I propose I propose that . . .that . . .

Students need Students need lifelines too :lifelines too :

(add picture from Zuly’s pres. On Dell)(add picture from Zuly’s pres. On Dell)

Purpose . . .Purpose . . .

Lower anxietyLower anxiety Add motivationAdd motivation Add funAdd fun Show we are coolShow we are cool

. . . But I propose . . . But I propose thatthat

Students have to earn Students have to earn them . . .them . . .

So what might they be? So what might they be? How might they earn How might they earn

them?them? Note squaresNote squares Ask the teacherAsk the teacher Check an answerCheck an answer Ask a friendAsk a friend Look in the bookLook in the book Extra timeExtra time Leave one blankLeave one blank . . .. . .

1 cm1 cm2 2 per completed per completed homework assignment?homework assignment?

All homework completedAll homework completed Perfect score on last testPerfect score on last test Putting problems on Putting problems on

boardboard Best question of the unitBest question of the unit Best mistake of the unitBest mistake of the unit Most effortMost effort Most improvementMost improvement Best quiz scoresBest quiz scores Worst quiz scores????Worst quiz scores????

Case Study TimeCase Study Time

Previewing tomorrow . . .Previewing tomorrow . . .