Math A Z 2007


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Math ideas for K-12 students

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  • Math A Z 2007

    1. 1. Math A-Z: <ul><ul><li>Applets to Zeta Functions </li></ul></ul>[email_address]
    2. 2. Why Use Technology? <ul><li>The most important message of the NCTM Principles and Standards : </li></ul><ul><li>Students must be fluent in arithmetic computation -- they must have efficient and accurate methods, and understand them. Students should know their basic addition, subtraction, multiplication and division combinations. </li></ul>
    3. 3. <ul><li>Technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances student learning. It needs to be used wisely, by well-informed teachers, to support understanding. </li></ul>
    4. 4. <ul><li>Teachers need to know and use &quot;mathematics for teaching&quot; … </li></ul><ul><li>April 2006 </li></ul>
    5. 5. Essential Questions <ul><li>Do they like math? </li></ul><ul><li>Can they do math? </li></ul><ul><li>Do they want to do math? </li></ul>Teachers need to enjoy using and teaching math. Julia Lott
    6. 6. Applets Applet - a very small application, esp. a utility program performing one or a few simple functions. ORIGIN 1990s: blend of application and -let .
    7. 7. Applets <ul><li>Primary </li></ul><ul><li>Intermediate </li></ul><ul><li>Secondary </li></ul><ul><li>K-12 </li></ul>
    8. 8. Building a Box Lesson <ul><li>Preview - Nets </li></ul><ul><li>Practice-5 squares (Open Box) </li></ul><ul><li>Problem-6 squares (Closed Box) </li></ul><ul><ul><li>Pattern = box </li></ul></ul><ul><ul><li>Plain = no box </li></ul></ul>
    9. 10. Blogging <ul><li>Problem of the week </li></ul><ul><li>Other Ideas? </li></ul>
    10. 11. Collaborative Projects <ul><li>Down the Drain </li></ul><ul><li>Square of Life </li></ul><ul><li>The Global Water Project </li></ul><ul><li> </li></ul>
    11. 12. Cryptology and Chaos <ul><li>Codes </li></ul><ul><li>C haos Theory Game </li></ul>
    12. 13. Dance <ul><li>Contra Dancing </li></ul><ul><li>Gazinta Shuffle </li></ul><ul><li>Music to move </li></ul><ul><li>Music to partner </li></ul>
    13. 14. Design your own Aircraft http://www. aeroseek . com/webtrax/fboweb .html
    14. 15. Earth (Google)
    15. 16. Earth (Google) <ul><li>File a flight plan </li></ul><ul><ul><li>Calculate fuel costs </li></ul></ul><ul><ul><li>Find cost per passenger mile </li></ul></ul><ul><ul><li>Distance to destination </li></ul></ul><ul><ul><li>Elapsed flight time </li></ul></ul>
    16. 17. Earth (Google) <ul><li>Measurement tool </li></ul><ul><ul><li>Conversions, </li></ul></ul><ul><ul><li>Area of Shapes </li></ul></ul><ul><li>Word problems in placemarks would be fun. If a train is leaving Albany at 50 mph… </li></ul><ul><li>Math scavenger hunts </li></ul><ul><ul><li>log the locations they visit in order, </li></ul></ul><ul><ul><li>measure the total distance </li></ul></ul>
    17. 18. Estimation Measure with Toothpicks <ul><li> </li></ul>
    18. 19. Fractals <ul><li> What is a Fractal? </li></ul><ul><li> What do fractals look like? </li></ul><ul><li>How do I make one? </li></ul>
    19. 20. Julia Set- Fractals
    20. 21. My Fractal Slide Show
    21. 22. My Fractal Slide Show
    22. 23. My Fractal Slide Show
    23. 24. My Fractal Slide Show
    24. 25. My Fractal Slide Show The End
    25. 26. Fire <ul><li>Aligned to National Standards </li></ul><ul><li>Teachers instructions </li></ul><ul><li>Student handouts/worksheet </li></ul><ul><li>On-line tools incorporated </li></ul><ul><li>Overview + Five lessons </li></ul>
    26. 27. GPS Navigation System
    27. 28. Geocaching <ul><li>Integrate Math and Language Arts </li></ul><ul><li>Techie Math Trails </li></ul><ul><ul><li>Tools </li></ul></ul><ul><ul><ul><li>Digital Cameras </li></ul></ul></ul><ul><ul><ul><li>Calculators </li></ul></ul></ul><ul><ul><ul><li>Yardsticks </li></ul></ul></ul><ul><ul><li>Products </li></ul></ul><ul><ul><ul><li>Presentations </li></ul></ul></ul><ul><ul><ul><li>Webpages and Wikis </li></ul></ul></ul><ul><ul><ul><li>Spreadsheets </li></ul></ul></ul>
    28. 29. Gliffy
    29. 30. History - Library of Congress
    30. 31. Iditarod
    31. 33. Kandinsky
    32. 36. Lines- 3-D Designs
    33. 37. Mint <ul><li>Earning - Careers </li></ul><ul><li>Spending - Checkbook </li></ul><ul><li>Saving - Credit Cards </li></ul><ul><li>Investing - Interest Rates </li></ul><ul><li>Renting - Owning </li></ul>
    34. 38. Million $ Project
    35. 39. M & M ’s <ul><li>Counting and colors </li></ul><ul><li>Cells </li></ul><ul><li>Calculations % </li></ul><ul><li>Comparison </li></ul><ul><ul><li>Differences </li></ul></ul><ul><ul><li>Statistical Analysis </li></ul></ul>
    36. 41. Numb3rs, TI and NCTM <ul><li>Real-life applications </li></ul><ul><li> Activities are already created </li></ul><ul><li>2-3 lessons per episode </li></ul><ul><li>6th Grade + </li></ul>
    37. 43. On-line Math Practice <ul><li>Fact Monster </li></ul><ul><li>Math Magician </li></ul><ul><li>Math Oympiads </li></ul>
    38. 44. Polyhedrons <ul><li>Polyhedrons </li></ul><ul><li>Polyhedrons 2 </li></ul>
    39. 45. Problem Solving <ul><li>Problem of the Week </li></ul><ul><ul><li> </li></ul></ul><ul><li>Strategies </li></ul><ul><ul><li>Guess & Check </li></ul></ul><ul><ul><li>Make a List </li></ul></ul><ul><li>Tools </li></ul><ul><ul><li>Calculators </li></ul></ul><ul><ul><li>GPS Navigators </li></ul></ul><ul><ul><li>Spreadsheets </li></ul></ul>
    40. 46. Pigskin Geography-NIE <ul><li>Geography </li></ul><ul><li>Stastical Analysis </li></ul>
    41. 47. Quilts
    42. 48. Rhythm and Math Garage Band
    43. 49. Real-Time Projects <ul><li>The Center for Innovation in Engineering and Science Education (CIECE) </li></ul><ul><li>Stowaway Adventure </li></ul><ul><li>Gulf Stream Voyage </li></ul><ul><li>Air pollution </li></ul><ul><li>Navigational Vectors </li></ul><ul><li>Musical Plates </li></ul><ul><li>http://www.k12science. org/currichome .html </li></ul>
    44. 50. Stock Market Portfolios <ul><li>Google Docs and Spreadsheets </li></ul>
    45. 51. The Stock Market Game http://www. stockmarketgame .org/
    46. 52. Space <ul><li> AIMS </li></ul><ul><li> NASA </li></ul><ul><li> NOAA </li></ul>
    47. 55. Tessellations and Art <ul><li>Escher </li></ul>
    48. 56. Unitedstreaming
    49. 57. Visual Manipulatives <ul><li> Utah State </li></ul><ul><li>K-12 </li></ul><ul><li>Easy </li></ul>
    50. 58. Weather <ul><li>Air Pollution </li></ul><ul><li>Weather Scope </li></ul><ul><li>Wonderful World of Weather </li></ul><ul><li>Other Real-time Units </li></ul>
    51. 59. Wiki’s <ul><li>Pbwiki </li></ul><ul><li>Wikispaces </li></ul>
    52. 62. X and Y Axis <ul><li>Cartography </li></ul><ul><li>Graphing </li></ul>
    53. 63. Chandra X-Ray Observatory
    54. 64. Gen Yes <ul><li>GenYES student and their partner-teacher </li></ul><ul><li>Technology skills </li></ul><ul><li>Planning and collaboration, </li></ul><ul><li>Authentic long-term projects. </li></ul><ul><li>Project-based learning experience </li></ul>
    55. 65. Zeno’s Paradox <ul><li>The great Greek philosopher Zeno of Elea (born sometime between 495 and 480 B.C.) proposed four paradoxes in an effort to challenge the accepted notions of space and time that he encountered in various philosophical circles. His paradoxes confounded mathematicians for centuries, and it wasn't until Cantor's development (in the 1860's and 1870's) of the theory of infinite sets that the paradoxes could be fully resolved. </li></ul>
    56. 66. Zero- Dividing by <ul><li>Division by zero is an operation for which you cannot find an answer, so it is disallowed. You can understand why if you think about how division and multiplication are related. </li></ul><ul><li>12 divided by 6 is 2 because 6 times 2 is 12 </li></ul><ul><li>12 divided by 0 is x would mean that 0 times x = 12 </li></ul><ul><li>But no value would work for x because 0 times any number is 0. So division by zero doesn't work. </li></ul><ul><li>- Doctor Robert </li></ul>
    57. 67. Zeta Function <ul><li>The Riemann zeta function is an extremely important special function of mathematics and physics that arises in definite integration and is intimately related with very deep results surrounding the prime number theorem. </li></ul>
    58. 68. Math literacy is every teacher’s responsibility. <ul><li>Intel Teach- Essentials Course Version 10 </li></ul>
    59. 69. Myth: Mathematically talented students are computation whizzes.
    60. 70. Fact: <ul><li>Research has shown that many mathematically talented students can have an excellent understanding of advanced mathematical concepts while simultaneously having relatively less developed computation skills </li></ul><ul><li>(Lupkowki-Shoplik, Sayler, & Assouline, 1994; Rotigel, 2000) . </li></ul>
    61. 71. For example, <ul><li>Julia has an excellent understanding of how to multiply fractions, but she often makes mistakes when adding a column of figures. </li></ul>
    62. 72. In this situation… <ul><li>teachers are often tempted to hold students back from learning advanced concepts until their b asic skills catch up. This is unfair to the student and may actually be detrimental to his or her mathematical development. </li></ul><ul><li>Developing Mathematical Talent: A Guide for Challenging and Educating Gifted Students . </li></ul>
    63. 73. Essential Questions <ul><li>Do they like math? </li></ul><ul><li>Can they do math? </li></ul><ul><li>Do they want to do math? </li></ul>
    64. 74. Let’s Do Math!
    65. 76.
    66. 79. http://core. gilbert .k12. az . us/coreweb