Integrating the Internet into the Mathematics Classroom


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  • Integrating the Internet into the Mathematics Classroom

    1. 1. Integrating Internet Tools into the Mathematics Classroom Steve Spengler [email_address] Coordinator of Educational Technology Colonial Intermediate Unit 20
    2. 2. A Little Humor First… A wise school teacher sends this note to all parents on the first day of school: "If you promise not to believe everything your child says happens at school, I'll promise not to believe everything he says happens at home." Little Johnny had finished his summer vacation and gone back to school. Two days later his teacher phoned his mother to tell her that he was misbehaving. "Wait a minute," she said. "I had Johnny with me for three months and I never called you once when he misbehaved." Teacher: Where is your homework? Pupil: I lost it fighting this kid who said you weren't the best teacher in the school
    3. 3. Top Ten Excuses for Not Doing Math Homework #10 - Galileo didn't know calculus; what do I need it for? #9 - "A math addict stole my homework. When they arrested him, they discovered Mr/Miss/Ms/Mrs [fill in the blank] had been his teacher." #8 - I'm taking physics and the homework in there seemed to involve math, so I thought I could just do that instead. #7 - I have the proof, but there isn't room to write it in the margin. #6 - I have a solar powered calculator and it was cloudy. #5 - I was watching the World Series and got tied up trying to prove that it converged. #4 - I could only get arbitrarily close to my textbook. I couldn't actually reach it. (I reached half way, and then half of that, and then ...) #3 - I couldn't figure out whether i am the square root of negative one or i is the square root of negative one. #2 - It was Einstein's birthday and pi day and we had this big celebration! (This only works for March 14) #1 - I accidentally divided by zero and my paper burst into flames.
    4. 4. Online Automatic Citations Riddle, Larry (1996). Dusa McDuff. Retrieved August 7, 2006, from Women in Mathematics Web site:
    5. 5. Evaluating Online Resources Exercise <ul><li>Go to </li></ul><ul><li>Click on “Archive of Articles” </li></ul><ul><li>Select “Teaching Zach to Think.” </li></ul><ul><li>Read the article. Feel free to click any link to outside sources including Professor Butz’s original document. </li></ul><ul><li>Share your thoughts </li></ul><ul><li>Cyberguide for Content Evaluation </li></ul>
    6. 6. Topics <ul><li>Internet-based learning applications </li></ul><ul><li>Strategies for Internet integration in the mathematics classroom </li></ul><ul><li>Putting it all together </li></ul>“ Working the Web for Education” and “What’s on the Web” by Tom March “ The Internet Connection: Exploring the Power of the Web as a Teaching Tool” by Educational Research Corporation
    7. 7. Internet-based Learning Applications
    8. 8. Learning Applications <ul><li>Enrichments/Remediation </li></ul><ul><li>Lessons/online Tutorials </li></ul><ul><li>Tools </li></ul><ul><li>Reference resources </li></ul><ul><li>Information resources </li></ul><ul><li>Projects </li></ul><ul><li>Activities </li></ul>
    9. 9. Enrichments <ul><li>Use media from the Internet as springboards to further discussion or lesson integration </li></ul><ul><li>Similar to cartoon on the overhead or beginning a lesson with a story </li></ul><ul><li>Discussion/lesson starters </li></ul><ul><li>Math prompts [PSSA] </li></ul>
    10. 10. What fraction of the cake would you rather eat? Why?
    11. 11. /
    12. 12. Math – Likely and Unlikely Events – Grades 3 - 5
    13. 13. Math – Solving for Values With Defined Relationships – Grades 6 - 8
    14. 14. – Thematic Focus Differentiated Math Focus – Grades 2 - 12
    15. 15. Basics of Using UnitedStreaming <ul><li>Go to </li></ul><ul><li>Enter the username and password. </li></ul><ul><li>Passcodes – allow you to create an account on your own </li></ul><ul><li>Search via all different means! </li></ul><ul><li>Stream or Download </li></ul>
    16. 16. Feline Reactions to Bearded Men
    17. 17. Feline Reactions to Bearded Men (UPDATED)
    18. 18. Joan Berger’s Scenarios Are We Martians? (Space Science, Astronomy) The Big Apple (Geography, History, Art, Social Science, Cartography) The Cassini Mission (Space Science, Astronomy) Faster Than a Speeding Bullet (Neuroscience, Recording and Analyzing Data) How Far Is Far (Maps and Distances) Intergalactic Explorers (Astronomy, Space Studies) Lights! Camera! Action! (History, Technology, Science) Rescue At Sea (Geography, Meteorology, Astronomy, Mathematics) Stories in Stone (Mayan Culture, Language, Mathematics, Archaeology) Touchy! Touchy! (Neuroscience, Recording and Analyzing Data)
    19. 19. Find a springboard for you! <ul><li>Use (if you don’t know your username/password – use iu20teacher/iu20teacher) </li></ul><ul><li>An image that can be used as a lesson starter </li></ul><ul><li>Scenario that can be used to kick-off your lesson </li></ul><ul><li>Either print it out or save it in your bookmarks </li></ul>
    20. 20. Enrichments/Remediation <ul><li>Develop self-discipline and independence related to learning </li></ul><ul><li>Have the intrinsic motivation to succeed in their classes </li></ul><ul><li>Target academic problems on their own </li></ul><ul><li>Develop skills to fully engage in the content </li></ul><ul><li>Overcome academic anxiety </li></ul>
    21. 21.
    22. 22. Ask Dr. Math – The Math Forum
    23. 23. NY Regents Exam Prep Center
    24. 24. SOS Math
    25. 25. Algebra Help
    26. 26. Culturally-Situated Math Design Tools
    27. 27. Grey Labyrinth
    28. 28. Smart Skies
    29. 29. Enigma and the Code Breakers
    30. 30. Road Sign Math
    31. 31. Numb3rs
    32. 32. Rec Puzzles Archive /
    33. 33. Lessons/Online Tutorials <ul><li>Target specific learner outcomes </li></ul><ul><li>Guide a user through instructional steps </li></ul><ul><li>May have feedback or checkpoints </li></ul><ul><li>Technically hard to create </li></ul><ul><li>Newer technologies allow for more </li></ul>
    34. 34. Interactive Mathematics Miscellany and Puzzles
    35. 35. Math in Daily Life
    36. 36. Escape from Knab – The Adventure
    37. 37. Math Tutorials
    38. 38. Absurd Math
    39. 39. Challenge of the 7 Cups
    40. 40. Wolfram MathWorld
    41. 41. Discovery’s Brain Boosters
    42. 42. The Story of Elizabeth Whitney Williams
    43. 43. The National Math Trail
    44. 44. Teachers’ Lab
    45. 45. AAA Math
    46. 46. Teachers.Net Lesson Bank
    47. 47. A to Z Teacher Stuff
    48. 48. Ask Eric Lesson Plans
    49. 49. Math Forum Lesson Plans
    50. 50. What types of tutorials or lessons are you looking for? <ul><li>Go to </li></ul><ul><li>Do a search for a keyword </li></ul><ul><li>Filter it down via </li></ul><ul><ul><li>Lesson Plans </li></ul></ul><ul><ul><li>Learning Exercises </li></ul></ul><ul><ul><li>Learning Games </li></ul></ul><ul><li>Print them out or save them in your bookmarks </li></ul>
    51. 51. Tools <ul><li>Require student input used to quickly generate output </li></ul><ul><li>Search engine is most used tool </li></ul><ul><li>Online databases </li></ul><ul><li>Teacher tools </li></ul><ul><li>Curricular tools </li></ul>
    52. 52. Calculators and Tools
    53. 53. Calculators Online
    54. 54. Visual Fractions
    55. 55. Project Interactivate
    56. 56. Gizmo Catalog
    57. 57. USA Today Online Calculators
    58. 58. Math Online
    59. 59. Online Woodworking Tools
    60. 60. What types of math tools are you looking for? <ul><li>Using the sites you’ve been given or using netTrekker, find some tools that are applicable to your classroom…your students…or even for you! </li></ul>
    61. 61. Teacher Resources
    62. 62.
    63. 63. Erich’s Packing Center
    64. 64. Jobs and Guidance in Mathematics
    65. 65. Pi in the Sky
    66. 66. Purple Math
    67. 67. Research on Virtual Manipulatives
    68. 68. Mathematically Appropriate Uses of Technology for Instruction
    69. 69. Math Forum’s Teacher 2 Teacher
    70. 70. Connected Mathematics Project
    71. 71. netTrekker
    72. 72. Kathy Schrock’s Guide for Educators
    73. 73. The Online Journal of Mathematics
    74. 74. THE Journal Educator’s Web Roadmap
    75. 75. K12 Teaching & Learning Center
    76. 76. Children of Dreams
    77. 77.
    78. 78. Activities <ul><li>Online activities </li></ul><ul><ul><li>WebQuests </li></ul></ul><ul><ul><li>Ideas/topic searches </li></ul></ul><ul><li>Offline activities </li></ul><ul><ul><li>Discussions </li></ul></ul><ul><ul><li>Debates </li></ul></ul>
    79. 79. WebQuests <ul><li>Internet inquiry-based activities </li></ul><ul><li>“Online lesson plans” </li></ul><ul><li>Provide challenging task, scenario, or problem to solve </li></ul><ul><li>Provide resources for students </li></ul><ul><li>Summarizing activity is meant to synthesize prior learning </li></ul>
    80. 80. The WebQuest Page http:// /
    81. 81. TechTrekkers WebQuests http://
    82. 82. Probability and Statistics WebQuest
    83. 83. Math Models and Economics
    84. 84. Geometry and the Pythagorean Theorem
    85. 85. Strategies for Internet Integration
    86. 86. Identify the Goal <ul><li>Link to Web sites that you find useful </li></ul><ul><li>Create a page with the links </li></ul><ul><li>Students can use your list for guidance </li></ul><ul><li>Post your list on the Web to bookmark sites </li></ul><ul><li>Create a classroom page with favorite sites </li></ul>
    87. 87. BackFlip
    88. 88. Bookmark Tracker http:// /
    89. 89. Hotlists <ul><li>Internet links to media </li></ul><ul><li>Students can discover artifacts on a topic </li></ul><ul><li>Students can download the items to be used in presentations </li></ul>
    90. 90. Filamentality
    91. 91. Mathematics Hotlist
    92. 92. A Hotlist of Math Links
    93. 93. Writing in the Math Classroom
    94. 94. Treasure Hunts <ul><li>Find Web sites that hold information </li></ul><ul><li>Pose one key question per page to define scope of topic </li></ul><ul><li>Include a culminating higher order thinking skills activity </li></ul>
    95. 95. Cyberbee Treasure Hunt
    96. 96. Paper Airplanes
    97. 97. Subject Sampler <ul><li>Prepare smaller variety of Web sites organized around a topic </li></ul><ul><li>Choose intriguing sites </li></ul><ul><li>Students are asked about their perspectives on topics, comparisons, etc. </li></ul>
    98. 98. Quadratic Equations Subject Sampler
    99. 99. NASA: Centennial of Flight
    100. 100. Putting it Together
    101. 101. How do I start? <ul><li>With the end in mind </li></ul><ul><ul><li>What is the intention? </li></ul></ul><ul><ul><li>What do I want the end result to be? </li></ul></ul><ul><ul><li>Focus on technology skills or production? </li></ul></ul><ul><ul><li>What end results will I facilitate? </li></ul></ul>Kelly, Deidre, “The Year Ahead”, Classroom Connect, September 2000, p. 16.
    102. 102. How do I start? <ul><li>Set goals for you and your students </li></ul><ul><ul><li>Teacher Goals: </li></ul></ul><ul><ul><ul><li>I want to feel confident when my students speak about the Internet. </li></ul></ul></ul><ul><ul><ul><li>I want to learn how to use the Internet to find teacher materials. </li></ul></ul></ul><ul><ul><ul><li>I want to integrate the Internet into my curriculum. </li></ul></ul></ul>Kelly, Deidre, “The Year Ahead”, Classroom Connect, September 2000, p. 16.
    103. 103. How do I start? <ul><li>Set goals for you and your students </li></ul><ul><ul><li>Student Goals: </li></ul></ul><ul><ul><ul><li>I want my students to treat the Internet as a tool, not a toy. </li></ul></ul></ul><ul><ul><ul><li>I want my students to learn how to use the Internet as a publishing tool. </li></ul></ul></ul><ul><ul><ul><li>I want my students to learn how to use the Internet as a research tool. </li></ul></ul></ul>Kelly, Deidre, “The Year Ahead”, Classroom Connect, September 2000, p. 16.
    104. 104. How do I start? <ul><li>Look at current curriculum with an eye towards where it may be lacking </li></ul><ul><ul><li>Do learners come out of the unit knowing enough information? </li></ul></ul><ul><ul><li>Are the students actively engaged? </li></ul></ul><ul><ul><li>Do they pursue higher-level thinking? </li></ul></ul><ul><li>Create a Web-based activity for the learning aspect that you would revise anyway (WebQuest, Treasure Hunt…) </li></ul>
    105. 105. How do I start? <ul><li>Once you feel comfortable with the tools, you change YOUR way of thinking </li></ul><ul><li>Become creative and internalize the use of the tools </li></ul><ul><li>NETS ( ) </li></ul><ul><ul><li>National Educational Technology Standards for teachers and students </li></ul></ul>
    106. 106. Teaching and Learning <ul><li>Carefully guided and structured </li></ul><ul><li>Learners are engaged </li></ul><ul><li>Students must understand exploration ( not playing around ) </li></ul><ul><li>Students are investigating, asking questions, writing, etc. </li></ul><ul><li>Developing reading, writing, and thinking skills. </li></ul>
    107. 107. Other Online Tools <ul><li>PuzzleMaker: online puzzles </li></ul><ul><ul><li> </li></ul></ul><ul><li>TrackStar: online lesson format </li></ul><ul><ul><li> </li></ul></ul><ul><li>QuizStar: online quizzes </li></ul><ul><ul><li> </li></ul></ul><ul><li>eBoard: easy posting of information </li></ul><ul><ul><li> </li></ul></ul><ul><li>Filamentatility: creating activities </li></ul><ul><ul><li> </li></ul></ul>
    108. 108. Integrating Internet Tools into the Mathematics Classroom Steve Spengler [email_address] Coordinator of Educational Technology Colonial Intermediate Unit 20