NCTM Academy

NCTM AcademyNCTM Academy

AssessmentAssessment

Elementary MathematicsElementary Mathematics

Day 3Day 3

WOW!!!WOW!!!

What is the mathematics?What is the mathematics?

How might you informally assessHow might you informally assess??

How might you formally assess?How might you formally assess?

Pocket ChangePocket Change

I have pennies, nickels and dimes in my pocket. I put 3 coins in a hand. How much money do you think I have in my hand and why do you think that?

Portfolios??Portfolios??

The solution to educators The solution to educators problems problems

or or

The next environmental waste The next environmental waste hazardhazard

‘‘Assessment’ PortfolioAssessment’ Portfolio

A purposeful collection that A purposeful collection that communicates a student’s efforts, communicates a student’s efforts, progress, or achievement in a given progress, or achievement in a given area or areas.area or areas.

Arter, Spangler, 1991Arter, Spangler, 1991

Types of PortfoliosTypes of Portfolios

ProfessionalProfessional ClassroomClassroom ShowcaseShowcase ScrapbookScrapbook Fat gradebookFat gradebook AssessmentAssessment

“You’re a three- toed sloth, Aaron. Math isn’t going to be your best subject.”

So oft en ‘tests measure howquickly people can solverelatively unimportant problemsmaking as few err ors as possible,rather than measuring howpeople grapple with relativelyimportant problems, making asmany productive err ors asnecessary with no time factor.”

Blum 1978

Evaluating Assessment TasksEvaluating Assessment Tasks

MathematicsMathematics AppropriatenessAppropriateness SkillsSkills PresentationPresentation ThinkingThinking ContextContext p.33, 3-5p.33, 3-5

Now that I have it . . .Now that I have it . . .

ScaffoldingScaffolding

Masons, when they start upon a building,Are careful to test out the scaffolding;

Make sure that planks won’t slip at busy point,Secure all ladders, tighten bolted joints.

And yet all this comes down when the job’s doneShowing off walls of sure and solid stone.

So if, my dear, there sometimes seem to be Old bridges breaking between you and me

Never fear. We may let the scaffolds fallConfident that we have built our wall.

Seamus Heaney

?

THANK YOU !!!

Case Study TimeCase Study Time

A Rubric Solves My ProblemA Rubric Solves My Problem