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# Integrating the Internet into the Mathematics Classroom

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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: &quot;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.&quot; 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. &quot;Wait a minute,&quot; she said. &quot;I had Johnny with me for three months and I never called you once when he misbehaved.&quot; 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 - &quot;A math addict stole my homework. When they arrested him, they discovered Mr/Miss/Ms/Mrs [fill in the blank] had been his teacher.&quot; #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 http://citationmachine.net Riddle, Larry (1996). Dusa McDuff. Retrieved August 7, 2006, from Women in Mathematics Web site: http://www.agnesscott.edu/Lriddle/women/mcduff.htm
5. 5. Evaluating Online Resources Exercise <ul><li>Go to http://www.novemberlearning.com/ </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? www.unitedstreaming.com
11. 11. www.pims.math.ca /
12. 12. UnitedStreaming.com www.unitedstreaming.com Math – Likely and Unlikely Events – Grades 3 - 5
13. 13. UnitedStreaming.com www.unitedstreaming.com Math – Solving for Values With Defined Relationships – Grades 6 - 8
14. 14. UnitedStreaming.com – Thematic Focus www.unitedstreaming.com Differentiated Math Focus – Grades 2 - 12
15. 15. UnitedStreaming.com www.unitedstreaming.com Basics of Using UnitedStreaming <ul><li>Go to www.unitedstreaming.com </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 http://www.improb.com/archives/classical/cat/cat/html
17. 17. Feline Reactions to Bearded Men (UPDATED) http://www.improb.com/archives/classical/cat/cat/html
18. 18. Joan Berger’s Scenarios http://users.adelphia.net/~jberger5/Activitiesindex.html 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 www.UnitedStreaming.com (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. Webmath.com http://www.webmath.com
22. 22. Ask Dr. Math – The Math Forum http://mathforum.org/dr.math/
23. 23. NY Regents Exam Prep Center http://regentsprep.org/Regents/math/math-a.cfm#1
24. 24. SOS Math http://www.sosmath.com/
25. 25. Algebra Help http://www.algebrahelp.com
26. 26. Culturally-Situated Math Design Tools http://www.rpi.edu/~eglash/csdt.html
27. 27. Grey Labyrinth http://www.greylabyrinth.com
28. 28. Smart Skies http://quest.nasa.gov/projects/smart_skies/
29. 29. Enigma and the Code Breakers http://www.iwm.org.uk/upload/package/10/enigma/index.htm
31. 31. Numb3rs http://www.cbs.com/primetime/numb3rs/ti/
32. 32. Rec Puzzles Archive http://rec-puzzles.org /
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 http://www.cut-the-knot.org/index.shtml
35. 35. Math in Daily Life http://www.learner.org/exhibits/dailymath/
36. 36. Escape from Knab – The Adventure http://www.escapefromknab.com/
37. 37. Math Tutorials http://www.math.hmc.edu/calculus/tutorials/
38. 38. Absurd Math http://www.learningwave.com/abmath/
39. 39. Challenge of the 7 Cups http://www.learningwave.com/abmath/7cups/index.html
40. 40. Wolfram MathWorld http://mathworld.wolfram.com/
41. 41. Discovery’s Brain Boosters http://school.discovery.com/brainboosters/
42. 42. The Story of Elizabeth Whitney Williams http://www.census.gov/Press-Release/www/releases/archives/facts_for_features/
43. 43. The National Math Trail http://www.nationalmathtrail.org/
44. 44. Teachers’ Lab http://www.learner.org/teacherslab/
45. 45. AAA Math http://www.aaamath.com/index.html
46. 46. Teachers.Net Lesson Bank http://teachers.net/lessons/browse.html
47. 47. A to Z Teacher Stuff http://www.atozteacherstuff.com/Lesson_Plans/Mathematics/index.shtml
48. 48. Ask Eric Lesson Plans http://www.eduref.org/cgi-bin/lessons.cgi/Mathematics
49. 49. Math Forum Lesson Plans http://mathforum.org/teachers/high/lessons-individual.html
50. 50. What types of tutorials or lessons are you looking for? <ul><li>Go to www.nettrekker.com </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. Math.com Calculators and Tools http://www.math.com/students/tools.html
53. 53. Calculators Online http://www.martindalecenter.com/Calculators2.html
54. 54. Visual Fractions http://www.visualfractions.com/
55. 55. Project Interactivate http://www.shodor.org/interactivate/
56. 56. Gizmo Catalog http://www.explorelearning.com/index.cfm?method=cResource.dspResourceCatalog
57. 57. USA Today Online Calculators http://www.usatoday.com/money/perfi/calculators/calculator.htm
59. 59. Online Woodworking Tools http://www.woodbin.com
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. Dictionary.com http://dictionary.reference.com/
63. 63. Erich’s Packing Center http://www.stetson.edu/~efriedma/packing.html
64. 64. Jobs and Guidance in Mathematics http://www.phds.org/
65. 65. Pi in the Sky http://www.pims.math.ca/pi/current/
66. 66. Purple Math http://www.purplemath.com
67. 67. Research on Virtual Manipulatives http://otec.uoregon.edu/virtual_manipulatives.htm
68. 68. Mathematically Appropriate Uses of Technology for Instruction http://my.nctm.org/eresources/view_article.asp?article_id=2264
69. 69. Math Forum’s Teacher 2 Teacher http://mathforum.org/t2t/
70. 70. Connected Mathematics Project http://www.math.msu.edu/cmp/
71. 71. netTrekker http://www.nettrekker.com
72. 72. Kathy Schrock’s Guide for Educators http://school.discovery.com/schrockguide/
73. 73. The Online Journal of Mathematics http://my.nctm.org/eresources/journal_home.asp?journal_id=6
75. 75. K12 Teaching & Learning Center http://www.k12tlc.net
76. 76. Children of Dreams http://www.gsn.org/programs/dreams/lessonplan.html
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:// webquest.sdsu.edu /
81. 81. TechTrekkers WebQuests http:// www.techtrekers.com/webquests
82. 82. Probability and Statistics WebQuest http://stickware.home.comcast.net/probability/index.html
83. 83. Math Models and Economics http://www.amaisd.org/nheights/zennadi_&_james_project.htm
84. 84. Geometry and the Pythagorean Theorem http://www.public.iastate.edu/~nelehita/Geometry%20Project/
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 http://www.backflip.com/
88. 88. Bookmark Tracker http:// www.bookmarktracker.com /
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 http://www.filamentality.com/wired/fil/index.html
91. 91. Mathematics Hotlist http://www.kn.sbc.com/wired/fil/pages/listmathmr48.html
92. 92. A Hotlist of Math Links http://www.kn.att.com/wired/fil/pages/listmathlinpa.html
93. 93. Writing in the Math Classroom http://www.kn.att.com/wired/fil/pages/listmathemattr.html
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 http://www.cyberbee.com/mathhunt.html
96. 96. Paper Airplanes http://phoenix.gov/AVIATION/kids/airplanes.html
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>