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Math & Palms
Bloom's
Taxonomy
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 Taxonomy
                    Compre-
Knowledge                         Application      Analysis       Synthesis      Evaluation
                    hension


                  Understand-ing                                                    Make
Recalling Facts                  Solve Problems   Break Apart    Combine Ideas
                      Ideas                                                      Judgments


                   In your own    How would       What did you      Can you      Would it be
 What is…?
                     words…?      you use…?        think…?         invent…?      better if…?




                           Simple to Complex
Activity: Flash Cards
                    Compre-
Knowledge                          Application      Analysis       Synthesis     Evaluation
                    hension


                  Understand-ing                                                    Make
Recalling Facts                  Solve Problems   Break Apart    Combine Ideas
                      Ideas                                                      Judgments


                   In your own    How would       What did you      Can you      Would it be
 What is…?
                     words…?      you use…?        think…?         invent…?      better if…?




   • Palm Application: MathAce
F act
Pow  er!
Place
Value
The Ones Place
5 + 8 = 13
2 + 6 = 8
3 + 1 + 7 = 11
The Ones Place

6 + 4 + 9 + 5 =
      24
The Ones Place

5 + 0 + 1 + 8 +

2 + 9 + 7 = 32
Let’s not use
the + symbol
7   0   8   5
1   2   4   6
                ?




4   3   9   5
7   0   1   2
7   0   8   5
1   2   4   6   16

4   3   9   5
7   0   1   2
?

7   0   8   5
1   2   4   6   6

4   3   9   5
7   0   1   2
7

7   0   8   5
1   2   4   6   6

4   3   9   5
7   0   1   2
7

7   0   8   5
1   2   4   6   6

4   3   9   5
7   0   1   2
                ?
7

7   0   8   5
1   2   4   6   6

4   3   9   5
7   0   1   2
                2
7

7   0   8   5
1   2   4   6   6

4   3   9   5
7   0   1   2
                2
7

7   0
    ?   8   5
1   2   4   6   6

4   3   9   5
7   0   1   2
                2
7   0
    15   8   5
1   2    4   6
4   3    9   5
7   0    1   2
7   0
    5   8   5
1   2   4   6
4   3   9   5
7   0   1   2
Activity: Lightning Distance
                    Compre-
 Knowledge                         Application      Analysis       Synthesis     Evaluation
                    hension


                  Understand-ing                                                    Make
Recalling Facts                  Solve Problems   Break Apart    Combine Ideas
                      Ideas                                                      Judgments


                   In your own    How would       What did you      Can you      Would it be
 What is…?
                     words…?      you use…?        think…?         invent…?      better if…?




 • Palm Application: FlashBoom
FlashBoom!



Tap the cloud      Tap the    FlashBoom!
when you see    “Boom” when    displays the
  lightning       you hear       distance
                   thunder
FlashBoom!
                Settings




     Tap        Select Help       Select
FlashBoom!        for Tips    Preferences
to access the                 to select Miles
    menu                      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 Operations
                    Compre-
 Knowledge                        Application       Analysis       Synthesis     Evaluation
                    hension


                  Understand-ing                                                    Make
Recalling Facts                  Solve Problems   Break Apart    Combine Ideas
                      Ideas                                                      Judgments


                   In your own    How would       What did you      Can you      Would it be
 What is…?
                     words…?      you use…?        think…?         invent…?      better if…?




 • Palm Application: MathWiz
MathWiz
• Four random numbers
• +, -, (, ), x, and ÷
• Combine four numbers
  and symbols
• Expression equals the
  target number
MathWiz
MathWiz
              Incorrect Expressions




  Answer       MathWiz                 Expression
incorrectly                  Tap
               evaluates   clear…     is reset. Try
    …             the                     again!
              expression
MathWiz
                      Menu Options




                       Select Instruction   Read how to play
  Select New Game
                         from the Help
from the Game menu
                             menu,,,
 to get new numbers
Activity: Tired of Tapping
                    Compre-
 Knowledge                         Application     Analysis        Synthesis     Evaluation
                    hension


                  Understand-ing                                                    Make
Recalling Facts                  Solve Problems   Break Apart    Combine Ideas
                      Ideas                                                      Judgments


                   In your own    How would       What did you      Can you      Would it be
 What is…?
                     words…?      you use…?        think…?         invent…?      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     Scroll down to see     Scroll down and over
 sample in the yellow   taps per second, taps     to see how long it
box and tap the green      per minute, etc.      would take to tap in
     checkmark                                     seconds, minutes,
                                                hours, days, and years
Sheets To Go
                      Zoom the Screen




Tap SheetToGo to       Choose Medium or    Now you can see
access the menu and    Small to see more   more cells in the
  select Zoom…           data on screen     spreadsheet!
Tired of Tapping
Number 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
                     Compre-
  Knowledge                         Application      Analysis      Synthesis      Evaluation
                     hension


                   Understand-ing                                                    Make
 Recalling Facts                  Solve Problems   Break Apart    Combine Ideas
                       Ideas                                                      Judgments


                    In your own    How would       What did you      Can you      Would it be
  What is…?
                      words…?      you use…?        think…?         invent…?      better if…?




  • Palm Application: Sheets To Go
Sheets To Go
              Create an Area Spreadsheet




Tap the New     Select Sheet       You have a   Enter the text:
   button        To Go and           blank        “Area of a
                enter the title   spreadsheet   Rectangle” and
                  “Area of a                       tap the
                 Rectangle”                      checkmark
Sheets To Go
              Create an Area Spreadsheet




 The text                     Tap Text      Tap OK   The text in
             Select Cell…
appears in                                            cell A1 is
               from the      Color and
 the cell                                             now red!
             Format menu     change it to
                             red and tap
                            the checkbox
                              for Bold
Sheets To Go
              Create an Area Spreadsheet




Tap cell A3   Enter the     Tap the   Tap cell A4     Enter the
                text:     checkmark                 text: “Width”
              “Length”                                & tap the
                                                     checkmark
Sheets To Go
               Create an Area Spreadsheet




                            Tap Cell   Choose   Tap cell A6
Select cells      Select
                             Color     yellow
 B3 & B4       Cell… from
               the Format
                  menu
Sheets To Go
               Create an Area Spreadsheet




  Enter the     Tap cell B6   Tap cell B3   Tap * for   Tap cell B4
text: “Area”   and then tap                 multipli-
and tap the         fx                       cation
 checkmark
Sheets To Go
            Create an Area Spreadsheet




                                          Sheets To Go
Select cell B4 and   Select cell B4 and
                                          calculates the
  input a length       input a width
                                              area!
Geometry Spreadsheets




Students create their own spreadsheets with new
                    formulas
Activity: Roman Numerals
                    Compre-
 Knowledge                         Application      Analysis       Synthesis     Evaluation
                    hension


                  Understand-ing                                                    Make
Recalling Facts                  Solve Problems   Break Apart    Combine Ideas
                      Ideas                                                      Judgments


                   In your own    How would       What did you      Can you      Would it be
 What is…?
                     words…?      you use…?        think…?         invent…?      better if…?




 • Palm Application: Numerus
Numerus
                 Input Method




Tap Numerus       Choose Input
                                    Tap the
 to access the      Method
                                 Additive button
     menu
Numerus




Tap the “I” button continuously
Numerus
              Calculation: MM ÷ X




Tap C to   Tap MM to    Tap / for
                                    Tap X to enter   The answer
  clear    enter 2000   division
                                    10 and then =      is CC
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
                     Opening an eBook




 Tap on the Palm         Tap the menu         Tap Roman
Reader icon in the     button then select   Numerals then
   applications        Open… from the        tap the Open
     launcher             Book menu              button
Palm Reader
                      Reading an eBook




Tap the C icon                            Use your         Notice page
                   Tap a chapter and
for the Table of                          handheld’s      number in the
                    then tap the Go
   Contents                               navigation         corner
                       To button
                                       buttons to go to
                                          next page
Bloom’s Taxonomy
                    Compre-
Knowledge                         Application      Analysis       Synthesis      Evaluation
                    hension


                  Understand-ing                                                    Make
Recalling Facts                  Solve Problems   Break Apart    Combine Ideas
                      Ideas                                                      Judgments


                   In your own    How would       What did you      Can you      Would it be
 What is…?
                     words…?      you use…?        think…?         invent…?      better if…?


                                                                  Geometry
                   Lightning       Order of        Tired of                       Roman
 MathCard                                                          Spread-
                   Distance       Operations       Tapping                       Numerals
                                                                   sheets
Grab
 Bag
Abacus      Angles      Crickometer




Tic Tac 15   Divisible    Mixed Up




 Simplify    LCM GCF     Tessellation

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Math & Palms

  • 2.
  • 4. 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.
  • 5. Bloom’s Taxonomy Compre- Knowledge Application Analysis Synthesis Evaluation hension Understand-ing Make Recalling Facts Solve Problems Break Apart Combine Ideas Ideas Judgments In your own How would What did you Can you Would it be What is…? words…? you use…? think…? invent…? better if…? Simple to Complex
  • 6. Activity: Flash Cards Compre- Knowledge Application Analysis Synthesis Evaluation hension Understand-ing Make Recalling Facts Solve Problems Break Apart Combine Ideas Ideas Judgments In your own How would What did you Can you Would it be What is…? words…? you use…? think…? invent…? better if…? • Palm Application: MathAce
  • 7. F act Pow er!
  • 8.
  • 10. The Ones Place 5 + 8 = 13 2 + 6 = 8 3 + 1 + 7 = 11
  • 11. The Ones Place 6 + 4 + 9 + 5 = 24
  • 12. The Ones Place 5 + 0 + 1 + 8 + 2 + 9 + 7 = 32
  • 14. 7 0 8 5 1 2 4 6 ? 4 3 9 5 7 0 1 2
  • 15. 7 0 8 5 1 2 4 6 16 4 3 9 5 7 0 1 2
  • 16. ? 7 0 8 5 1 2 4 6 6 4 3 9 5 7 0 1 2
  • 17. 7 7 0 8 5 1 2 4 6 6 4 3 9 5 7 0 1 2
  • 18. 7 7 0 8 5 1 2 4 6 6 4 3 9 5 7 0 1 2 ?
  • 19. 7 7 0 8 5 1 2 4 6 6 4 3 9 5 7 0 1 2 2
  • 20. 7 7 0 8 5 1 2 4 6 6 4 3 9 5 7 0 1 2 2
  • 21. 7 7 0 ? 8 5 1 2 4 6 6 4 3 9 5 7 0 1 2 2
  • 22. 7 0 15 8 5 1 2 4 6 4 3 9 5 7 0 1 2
  • 23. 7 0 5 8 5 1 2 4 6 4 3 9 5 7 0 1 2
  • 24.
  • 25. Activity: Lightning Distance Compre- Knowledge Application Analysis Synthesis Evaluation hension Understand-ing Make Recalling Facts Solve Problems Break Apart Combine Ideas Ideas Judgments In your own How would What did you Can you Would it be What is…? words…? you use…? think…? invent…? better if…? • Palm Application: FlashBoom
  • 26. FlashBoom! Tap the cloud Tap the FlashBoom! when you see “Boom” when displays the lightning you hear distance thunder
  • 27. FlashBoom! Settings Tap Select Help Select FlashBoom! for Tips Preferences to access the to select Miles menu or Kilometers
  • 28. 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?
  • 29. Activity: Order of Operations Compre- Knowledge Application Analysis Synthesis Evaluation hension Understand-ing Make Recalling Facts Solve Problems Break Apart Combine Ideas Ideas Judgments In your own How would What did you Can you Would it be What is…? words…? you use…? think…? invent…? better if…? • Palm Application: MathWiz
  • 30. MathWiz • Four random numbers • +, -, (, ), x, and ÷ • Combine four numbers and symbols • Expression equals the target number
  • 32. MathWiz Incorrect Expressions Answer MathWiz Expression incorrectly Tap evaluates clear… is reset. Try … the again! expression
  • 33. MathWiz Menu Options Select Instruction Read how to play Select New Game from the Help from the Game menu menu,,, to get new numbers
  • 34. Activity: Tired of Tapping Compre- Knowledge Application Analysis Synthesis Evaluation hension Understand-ing Make Recalling Facts Solve Problems Break Apart Combine Ideas Ideas Judgments In your own How would What did you Can you Would it be What is…? words…? you use…? think…? invent…? better if…? • Palm Applications: –People Counter –Sheets To Go
  • 36. 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
  • 37. Take a Sample • Students tap for 60 seconds • Remember the count after 60 seconds
  • 38. Sheets To Go Input the 60 second Scroll down to see Scroll down and over sample in the yellow taps per second, taps to see how long it box and tap the green per minute, etc. would take to tap in checkmark seconds, minutes, hours, days, and years
  • 39. Sheets To Go Zoom the Screen Tap SheetToGo to Choose Medium or Now you can see access the menu and Small to see more more cells in the select Zoom… data on screen spreadsheet!
  • 40. Tired of Tapping Number 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
  • 41. 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
  • 42. Activity: Geometry Spreadsheets Compre- Knowledge Application Analysis Synthesis Evaluation hension Understand-ing Make Recalling Facts Solve Problems Break Apart Combine Ideas Ideas Judgments In your own How would What did you Can you Would it be What is…? words…? you use…? think…? invent…? better if…? • Palm Application: Sheets To Go
  • 43. Sheets To Go Create an Area Spreadsheet Tap the New Select Sheet You have a Enter the text: button To Go and blank “Area of a enter the title spreadsheet Rectangle” and “Area of a tap the Rectangle” checkmark
  • 44. Sheets To Go Create an Area Spreadsheet The text Tap Text Tap OK The text in Select Cell… appears in cell A1 is from the Color and the cell now red! Format menu change it to red and tap the checkbox for Bold
  • 45. Sheets To Go Create an Area Spreadsheet Tap cell A3 Enter the Tap the Tap cell A4 Enter the text: checkmark text: “Width” “Length” & tap the checkmark
  • 46. Sheets To Go Create an Area Spreadsheet Tap Cell Choose Tap cell A6 Select cells Select Color yellow B3 & B4 Cell… from the Format menu
  • 47. Sheets To Go Create an Area Spreadsheet Enter the Tap cell B6 Tap cell B3 Tap * for Tap cell B4 text: “Area” and then tap multipli- and tap the fx cation checkmark
  • 48. Sheets To Go Create an Area Spreadsheet Sheets To Go Select cell B4 and Select cell B4 and calculates the input a length input a width area!
  • 49. Geometry Spreadsheets Students create their own spreadsheets with new formulas
  • 50. Activity: Roman Numerals Compre- Knowledge Application Analysis Synthesis Evaluation hension Understand-ing Make Recalling Facts Solve Problems Break Apart Combine Ideas Ideas Judgments In your own How would What did you Can you Would it be What is…? words…? you use…? think…? invent…? better if…? • Palm Application: Numerus
  • 51. Numerus Input Method Tap Numerus Choose Input Tap the to access the Method Additive button menu
  • 52. Numerus Tap the “I” button continuously
  • 53. Numerus Calculation: MM ÷ X Tap C to Tap MM to Tap / for Tap X to enter The answer clear enter 2000 division 10 and then = is CC
  • 54. Roman Numerals • Learn by discovery • Use the worksheet • Or, have students create a poster about Roman Numerals
  • 55. Roman Numerals eBook • Beam the Roman Numerals eBook to students • Palm Reader • Read to check understanding
  • 56. Palm Reader Opening an eBook Tap on the Palm Tap the menu Tap Roman Reader icon in the button then select Numerals then applications Open… from the tap the Open launcher Book menu button
  • 57. Palm Reader Reading an eBook Tap the C icon Use your Notice page Tap a chapter and for the Table of handheld’s number in the then tap the Go Contents navigation corner To button buttons to go to next page
  • 58. Bloom’s Taxonomy Compre- Knowledge Application Analysis Synthesis Evaluation hension Understand-ing Make Recalling Facts Solve Problems Break Apart Combine Ideas Ideas Judgments In your own How would What did you Can you Would it be What is…? words…? you use…? think…? invent…? better if…? Geometry Lightning Order of Tired of Roman MathCard Spread- Distance Operations Tapping Numerals sheets
  • 60. Abacus Angles Crickometer Tic Tac 15 Divisible Mixed Up Simplify LCM GCF Tessellation