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This presentation is for teachers at Caver Academy in San Antonio.
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learninginhand.com
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