math & palms

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Math & Palms

Bloom'sTaxonomy

Bloom’s Taxonomy

• Benjamin Bloom ranked thinking skills

• Simple to complex levels of cognitive activity

• Students should practice the full array of thinking skills

Bloom, B. S. (Ed.). ( 1956). Taxonomy of educational objectives, Vol.1: The cognitive domain. New York: McKay.

Bloom’s TaxonomyKnowledge Compre-

hension Application Analysis Synthesis Evaluation

Recalling Facts Understand-ing Ideas

Solve Problems Break Apart Combine Ideas Make Judgments

What is…? In your own words…?

How would you use…?

What did you think…?

Can you invent…?

Would it be better if…?

Simple to Complex

Activity: Flash Cards

• Palm Application: MathAce

Knowledge Compre-hension

Application Analysis Synthesis Evaluation

Recalling Facts Understand-ing Ideas

Solve Problems Break Apart Combine Ideas Make Judgments

What is…? In your own words…?

How would you use…?

What did you think…?

Can you invent…?

Would it be better if…?

Fact Power!

Place Value

5 8+ = 13

2 6+ = 8

13 7+ + = 11

The Ones Place

24

+ + =+46 9 5

The Ones Place

32

+ +

=

+

9

5 +0 1

2

8

7+ +

The Ones Place

Let’s not use the + symbol

01 23456

7 8

94 57 20 1

?

01 23456

7 8

94 57 20 1

16

01 23456

7 8

94 57 20 1

6

?

01 23456

7 8

94 57 20 1

6

7

01 23456

7 8

94 57 20 1

6

7

?

01 23456

7 8

94 57 20 1

6

7

2

01 23456

7 8

94 57 20 1

6

7

2

01 23456

7 8

94 57 20 1

?

6

7

2

01 23456

7 8

94 57 20 1

15

01 23456

7 8

94 57 20 1

5

Activity: Lightning DistanceKnowledge Compre-

hension Application Analysis Synthesis Evaluation

Recalling Facts Understand-ing Ideas

Solve Problems Break Apart Combine Ideas Make Judgments

What is…? In your own words…?

How would you use…?

What did you think…?

Can you invent…?

Would it be better if…?

• Palm Application: FlashBoom

FlashBoom!

Tap the cloud when you see

lightning

Tap the “Boom” when

you hear thunder

FlashBoom! displays the

distance

FlashBoom!Settings

Tap FlashBoom! to access the

menu

Select Help for Tips

Select Preferences to select Miles or Kilometers

FlashBoom!

• Complete In/Out chart

• Develop a rule

• How does FlashBoom! use this rule?

• Why don’t you see the flash and hear the boom at the same time?

Activity: Order of OperationsKnowledge Compre-

hension Application Analysis Synthesis Evaluation

Recalling Facts Understand-ing Ideas

Solve Problems Break Apart Combine Ideas Make Judgments

What is…? In your own words…?

How would you use…?

What did you think…?

Can you invent…?

Would it be better if…?

• Palm Application: MathWiz

MathWiz

• Four random numbers

• +, -, (, ), x, and ÷

• Combine four numbers and symbols

• Expression equals the target number

MathWiz

MathWizIncorrect Expressions

Answer incorrectly

…

MathWiz evaluates

the expression

Expression is reset. Try

again!

Tap clear…

MathWizMenu Options

Select New Game from the Game menu to get new numbers

Select Instruction from the Help

menu,,,

Read how to play

Activity: Tired of TappingKnowledge Compre-

hensionApplication Analysis Synthesis Evaluation

Recalling Facts Understand-ing Ideas

Solve Problems Break Apart Combine Ideas Make Judgments

What is…? In your own words…?

How would you use…?

What did you think…?

Can you invent…?

Would it be better if…?

• Palm Applications:–People Counter–Sheets To Go

People Counter

Take a Guess• Guess how long it would take

you to tap nonstop:

• 100 times

• 1,000 times

• 100,000 times

• 1 million times

• 1 billion times

• 1 trillion times

Take a Sample

• Students tap for 60 seconds

• Remember the count after 60 seconds

Sheets To Go

Input the 60 second sample in the yellow

box and tap the green checkmark

Scroll down to see taps per second, taps

per minute, etc.

Scroll down and over to see how long it

would take to tap in seconds, minutes,

hours, days, and years

Sheets To GoZoom the Screen

Tap SheetToGo to access the menu and

select Zoom…

Choose Medium or Small to see more

data on screen

Now you can see more cells in the

spreadsheet!

Tired of TappingNumber of Taps Time

100 28 seconds

1,000 4.6 minutes

100,000 7.7 hours

1 million 3.2 days

1 billion 8.8 years

1 trillion 8,768 years

Tired of Tapping

• Compare guesses with the estimates from the spreadsheet

• Notice:

• 1,000 x 1,000 = 1 million

• 1,000 x 1 million = 1 billion

• 1,000 x 1 billion = 1 trillion

Activity: Geometry Spreadsheets

Knowledge Compre-hension

Application Analysis Synthesis Evaluation

Recalling Facts Understand-ing Ideas

Solve Problems Break Apart Combine Ideas Make Judgments

What is…? In your own words…?

How would you use…?

What did you think…?

Can you invent…?

Would it be better if…?

• Palm Application: Sheets To Go

Sheets To GoCreate an Area Spreadsheet

Tap the New button

Select Sheet To Go and

enter the title “Area of a Rectangle”

You have a blank

spreadsheet

Enter the text: “Area of a

Rectangle” and tap the

checkmark

Sheets To GoCreate an Area Spreadsheet

The text appears in

the cell

Select Cell… from the

Format menu

Tap Text Color and change it to red and tap

the checkbox for Bold

Tap OK The text in cell A1 is now red!

Sheets To GoCreate an Area Spreadsheet

Tap cell A3 Enter the text:

“Length”

Tap cell A4 Enter the text: “Width”

& tap the checkmark

Tap the checkmark

Sheets To GoCreate an Area Spreadsheet

Select cells B3 & B4

Select Cell… from the Format

menu

Tap Cell Color

Choose yellow

Tap cell A6

Sheets To GoCreate an Area Spreadsheet

Enter the text: “Area” and tap the checkmark

Tap cell B6 and then tap

fx

Tap cell B3 Tap cell B4Tap * for multipli-cation

Sheets To GoCreate an Area Spreadsheet

Select cell B4 and input a length

Select cell B4 and input a width

Sheets To Go calculates the

area!

Geometry Spreadsheets

Students create their own spreadsheets with new formulas

Activity: Roman NumeralsKnowledge Compre-

hensionApplication Analysis Synthesis Evaluation

Recalling Facts Understand-ing Ideas

Solve Problems Break Apart Combine Ideas Make Judgments

What is…? In your own words…?

How would you use…?

What did you think…?

Can you invent…?

Would it be better if…?

• Palm Application: Numerus

NumerusInput Method

Tap Numerus to access the

menu

Choose Input Method Tap the

Additive button

Numerus

Tap the “I” button continuously

NumerusCalculation: MM ÷ X

Tap C to clear

The answer is CC

Tap MM to enter 2000

Tap / for division

Tap X to enter 10 and then =

Roman Numerals

• Learn by discovery

• Use the worksheet

• Or, have students create a poster about Roman Numerals

Roman Numerals eBook

• Beam the Roman Numerals eBook to students

• Palm Reader

• Read to check understanding

Palm Reader

Tap on the Palm Reader icon in the

applications launcher

Opening an eBook

Tap the menu button then select Open… from the

Book menu

Tap Roman Numerals then

tap the Open button

Palm ReaderReading an eBook

Use your handheld’s navigation

buttons to go to next page

Notice page number in the

corner

Tap the C icon for the Table of

Contents

Tap a chapter and then tap the Go

To button

Bloom’s TaxonomyKnowledge Compre-

hension Application Analysis Synthesis Evaluation

Recalling Facts Understand-ing Ideas

Solve Problems Break Apart Combine Ideas Make Judgments

What is…? In your own words…?

How would you use…?

What did you think…?

Can you invent…?

Would it be better if…?

MathCard Lightning Distance

Order of Operations

Tired of Tapping

Geometry Spread-sheets

Roman Numerals

GrabBag

Abacus

Tic Tac 15

Simplify

Angles

Divisible

Crickometer

Mixed Up

TessellationLCM GCF