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Mathematics & Handheld Computing
Workshop Notes

ESC Region 16
June 9, 2005
Amarillo, Texas
learninginhand.com/notes

Handheld ComputerWorkshop Description: There are so many great activities for third through fifth graders that help students learn important math and reasoning skills and use Palm Powered handheld computers. Tony demonstrates a sample lesson where students not only practice addition facts, they focus on problem-solving and strategic thinking. Also take a trip through Benjamin Bloom’s Taxonomy by learning about several cool activities you can easily do in your own classroom. The journey begins with digital flash cards for the Knowledge level of Bloom’s Taxonomy. The trip also includes activities for teaching the Order of Operations, algebra concepts, spreadsheets, Roman numerals, and more. After sampling activities from a full array of thinking skills, teachers will have numerous ideas for teaching differentiated math lessons using handhelds!

Sample Lesson: Adding & Thinking

Addition Facts
Students practice their addition "fact power" using the free flashcard program TimerMathFacts. See how many addition problems students can answer in two minutes. Do this several times to get students to instantly recall these facts.
www.freewarepalm.com/educational/timermathfacts.shtml

Hexplode
Introduce students to the two-player strategy game Hexplode. The object of the game is to take over all of your opponent's hexagons by building up your own. Once the number on a hexgon is equal to the number of sides of that hexagon that touches another hexgon, it explodes. All touching hexagons are now turned to the player's color and have 1 more number added to them. Because of this, most players win by causing a "chain reaction" of exploding hexagons to take over the game board. Be sure to use Hexplode's Help menu for all of the game's rules.
www.palmblvd.com/software/pc/Hexplode-2001-3-5-palm-pc.html

SummingSumming
The "fact power" students got from TimerMathFacts combined with the strategic thinking from Hexplode are both needed to play Summing. Summing is a one-player game. The object is to clear the screen of all tiles. You clear the screen by placing the next tile in a blank spot. If a tile is placed in a postion where the number on that tile is equal to the digit in the one's place of the sum of all tiles that are touching it, all of those tiles are cleared from the screen. (Touching includes sharing a side or corner.) Summing is very challenging! The current lowest score ever reported to Tony is 18.
www.freewarepalm.com/games/summing.shtml

Take a Trip Through Bloom's Taxonomy

Benjamin Bloom ranked thinking skills from simple to complex:
http://www.teachers.ash.org.au/researchskills/dalton.htm
http://www.coun.uvic.ca/learn/program/hndouts/bloom.html

Knowledge Level: Flash Cards
MathCard is a very simple application where students can practice addition, subtraction, multiplication, and/or division. Under the Setting menu, the user can choose the "Maximum Operand," which is the highest number used in any problem (not the highest possible answer, however). There are some fun ways students can use MathCard:

  • Time themselves to figure out how many problems they can do in five minutes.
  • See if they can reach a score of 100 out of 100. If a student misses a problem, he or she resets his or her score and tries again.
  • Play with a friend by taking turns answering questions on the same handheld.
  • Use two handhelds and race against a friend. See who can get the highest score in five minutes.

www.freewarepalm.com/educational/mathcard.shtml

Comprehension Level: Lightning Distance
Using the fact that lightning and thunder travel at different speeds, FlashBoom! calculates the distance you are from a storm. To use FlashBoom! tap the screen when you see the flash and tap the screen again when you hear the boom. FlashBoom! will give the distance you are from the storm in miles or kilometers. Students can work backwards by experimenting with FlashBoom! to discover the mathematical formula it uses for its calculations using this worksheet. A great literature connection to this lesson is Thunder Cake by Patricia Polocco.
http://www.freewarepalm.com/calculator/flashboom.shtml

Application Level: Order of Operations
MathWizMathWiz gives students four numbers and a target number. MathWiz has students answer the question, "How would you use the given numbers to achieve the target number?" In order to solve the problem, students must use the Order of Operations (commonly referred to as "Please Excuse My Dear Aunt Sally" for Parenthese, Exponents, Multiplication & Division, and Addition & Subtraction). If you want to have some fun, have student try some MathWiz problems without telling them about the Order of Operations. They will be frustrated. But, then when you do teach the Order of Operation, they will understand why they are important and want to try MathWiz again.
hippa-potta.jamisbuck.org/mathwhiz/index.html

Analysis Level: Tired of Tapping
To understand the great differences between very large numbers, students try this estimation activity. Demonstrate the Palm application People Counter. Demonstrate how when you tap the screen, it adds one to the count. Ask students how long they think it would take to tap 100 times. How long would it take to tap 1,000 times? 100,000 times? 1 millions times? 1 billion times? Pass out a Tapping Estimation Sheet to each student. They make an educated guess about how long it would take to tap. The next step is to take an actual 60 minute sample of tapping using People Counter. Then enter that sample into the Tapping Spreadsheet in Sheets To Go. Students can use the spreadsheet to see that it will take a really, really, really long time to tap one billion times!
appsbyaaron.tripod.com/peoplecounter.htm

Synthesis Level: Geometry Forumla Spreadsheets
Using Sheets To Go, students create their own spreadsheets for simple geometry forumals. Examples include the area of a rectangle, circumference, area of a triangle, volume of a cube, and surface area of a rectangular prism. Students are inventive, so let them develop the spreadsheets on their own after the teacher models how to make one. Here's a handout for creating a spreadsheet for the area of a rectangle.

Evaluation Level: Roman Numerals
By interacting with a calculator that uses Roman numerals instead of the usual Arabic digits, students learn about using Roman numerals. Students complete a worksheet that walks them through their exploration of Roman numerals while using the Palm application Numerus. To learn evern more, students will read an eBook about Roman numerals. Finally, students evaluate Romans numerals: Is it a system them would like to have in place today? Why or why not?
Download Numerus:
www.freewarepalm.com/calculator/numerus.shtml
Lesson Plan and Resources: learninginhand.com/lessonplans/romannumerals.html
Download the Roman Numerals eBook: learninginhand.com/ebooks/RomanNumerals.pdb

Grab Bag

AbacusAbacus
Move the beads and Abacus will tell the value represented. Also, students can input a value and the abacus will display that value. This is great for teaching place value.
www.palmgear.com

Angles
Estimate the measures of angles. For each round, the user is presented with 10 angles. The difference between the actual angle measurement and the user's guess is added to the score. It's like golf where you want a low score.
www.schau.com/s/angles

CrickometerCrickometer
Calculate the temperature by counting chirps from crickets. The application does this by averaging 50 samples together and then tries to calculate how many chirps that is per minute. The temperature in Fahrenheit is then calculated as Chirps/Minute ÷ 4 + 37.
www.freewarepalm.com/calculator/crickometer.shtml

Day Trader
Buy and sell six different stocks to make money.
palmgear.com

Minefield
Flag the hidden mines to win this puzzle game.
www.freewarepalm.com/games/minefield.shtml

Mixed Up
Practice converting fractions to mixed numbers or mixed numbers to fractions.
www.schau.com/s/mixedup/index.html

SimplifySimplify
Practice reducing fractions into simpliest form. The size of denominator can be selected from the drop down menu.
www.schau.com/s/simplify/index.html

Solar Wars
Buy and sell goods from different planets to make as much money as you can in 60 days.
www.palmgear.com

Tessellation
Create tessellations! This gives students a great visual of how shapes are changed so they can fit into a repeating pattern without gaps or overlaps.
tesselation.sourceforge.net


Handheld Computing Resources

Tony's Website
learninginhand.com

Handhelds for Teachers BookHandhelds for Teachers & Administrators
by Janet Caughlin and Tony Vincent
www.tomsnyder.com/Products/product.asp?SKU=JANHAN

Teaching Now! "Handhelds in Omaha" Video
teachingnow.org/watchTV.php?id=32

Tony's Email
learninginhand@mac.com

Creative Commons Licensed BY-NC-SA Tony Vincent, Inc.