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Integrating the Internet into the Mathematics Classroom | PPT
Integrating Internet Tools into the Mathematics Classroom Steve Spengler [email_address] Coordinator of Educational Technology Colonial Intermediate Unit 20
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
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.
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
Evaluating Online Resources Exercise Go to  http://www.novemberlearning.com/ Click on “Archive of Articles” Select “Teaching Zach to Think.” Read the article. Feel free to click any link to outside sources including Professor Butz’s original document. Share your thoughts Cyberguide for Content Evaluation
Topics Internet-based learning applications Strategies for Internet integration in the mathematics classroom Putting it all together “ 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
Internet-based Learning Applications
Learning Applications Enrichments/Remediation Lessons/online Tutorials Tools Reference resources Information resources Projects Activities
Enrichments Use media from the Internet as springboards to further discussion or lesson integration Similar to cartoon on the overhead or beginning a lesson with a story Discussion/lesson starters Math prompts [PSSA]
What fraction of the cake would you rather eat? Why? www.unitedstreaming.com
www.pims.math.ca /
UnitedStreaming.com www.unitedstreaming.com Math – Likely and Unlikely Events – Grades 3 - 5
UnitedStreaming.com www.unitedstreaming.com Math – Solving for Values With Defined Relationships – Grades 6 - 8
UnitedStreaming.com – Thematic Focus www.unitedstreaming.com Differentiated Math Focus – Grades 2 - 12
UnitedStreaming.com www.unitedstreaming.com Basics of Using UnitedStreaming Go to  www.unitedstreaming.com Enter the username and password. Passcodes – allow you to create an account on your own Search via all different means! Stream or Download
Feline Reactions to Bearded Men http://www.improb.com/archives/classical/cat/cat/html
Feline Reactions to Bearded Men (UPDATED)   http://www.improb.com/archives/classical/cat/cat/html
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)
Find a springboard for you! Use www.UnitedStreaming.com (if you don’t know your username/password – use iu20teacher/iu20teacher) An image that can be used as a lesson starter Scenario that can be used to kick-off your lesson Either print it out or save it in your bookmarks
Enrichments/Remediation Develop self-discipline and independence related to learning Have the intrinsic motivation to succeed in their classes Target academic problems on their own Develop skills to fully engage in the content Overcome academic anxiety
Webmath.com http://www.webmath.com
Ask Dr. Math – The Math Forum http://mathforum.org/dr.math/
NY Regents Exam Prep Center  http://regentsprep.org/Regents/math/math-a.cfm#1
SOS Math http://www.sosmath.com/
Algebra Help http://www.algebrahelp.com
Culturally-Situated Math Design Tools http://www.rpi.edu/~eglash/csdt.html
Grey Labyrinth http://www.greylabyrinth.com
Smart Skies http://quest.nasa.gov/projects/smart_skies/
Enigma and the Code Breakers http://www.iwm.org.uk/upload/package/10/enigma/index.htm
Road Sign Math http://www.roadsignmath.com/
Numb3rs http://www.cbs.com/primetime/numb3rs/ti/
Rec Puzzles Archive http://rec-puzzles.org /
Lessons/Online Tutorials Target specific learner outcomes Guide a user through instructional steps May have feedback or checkpoints Technically hard to create Newer technologies allow for more
Interactive Mathematics Miscellany and Puzzles http://www.cut-the-knot.org/index.shtml
Math in Daily Life http://www.learner.org/exhibits/dailymath/
Escape from Knab – The Adventure http://www.escapefromknab.com/
Math Tutorials http://www.math.hmc.edu/calculus/tutorials/
Absurd Math http://www.learningwave.com/abmath/
Challenge of the 7 Cups http://www.learningwave.com/abmath/7cups/index.html
Wolfram MathWorld http://mathworld.wolfram.com/
Discovery’s Brain Boosters http://school.discovery.com/brainboosters/
The Story of Elizabeth Whitney Williams  http://www.census.gov/Press-Release/www/releases/archives/facts_for_features/
The National Math Trail  http://www.nationalmathtrail.org/
Teachers’ Lab http://www.learner.org/teacherslab/
AAA Math http://www.aaamath.com/index.html
Teachers.Net Lesson Bank http://teachers.net/lessons/browse.html
A to Z Teacher Stuff http://www.atozteacherstuff.com/Lesson_Plans/Mathematics/index.shtml
Ask Eric Lesson Plans http://www.eduref.org/cgi-bin/lessons.cgi/Mathematics
Math Forum Lesson Plans http://mathforum.org/teachers/high/lessons-individual.html
What types of tutorials or lessons are you looking for? Go to  www.nettrekker.com Do a search for a keyword Filter it down via Lesson Plans Learning Exercises Learning Games Print them out or save them in your bookmarks
Tools Require student input used to quickly generate output Search engine is most used tool Online databases Teacher tools Curricular tools
Math.com Calculators and Tools http://www.math.com/students/tools.html
Calculators Online http://www.martindalecenter.com/Calculators2.html
Visual Fractions http://www.visualfractions.com/
Project Interactivate http://www.shodor.org/interactivate/
Gizmo Catalog http://www.explorelearning.com/index.cfm?method=cResource.dspResourceCatalog
USA Today Online Calculators http://www.usatoday.com/money/perfi/calculators/calculator.htm
Math Online  http://www.univie.ac.at/future.media/moe/onlinewerkzeuge.html
Online Woodworking Tools http://www.woodbin.com
What types of math tools are you looking for? 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!
Teacher Resources
Dictionary.com http://dictionary.reference.com/
Erich’s Packing Center http://www.stetson.edu/~efriedma/packing.html
Jobs and Guidance in Mathematics  http://www.phds.org/
Pi in the Sky  http://www.pims.math.ca/pi/current/
Purple Math http://www.purplemath.com
Research on Virtual Manipulatives  http://otec.uoregon.edu/virtual_manipulatives.htm
Mathematically Appropriate Uses of Technology for Instruction http://my.nctm.org/eresources/view_article.asp?article_id=2264
Math Forum’s Teacher 2 Teacher http://mathforum.org/t2t/
Connected Mathematics Project http://www.math.msu.edu/cmp/
netTrekker http://www.nettrekker.com
Kathy Schrock’s Guide for Educators http://school.discovery.com/schrockguide/
The Online Journal of Mathematics  http://my.nctm.org/eresources/journal_home.asp?journal_id=6
THE Journal Educator’s Web Roadmap  http://www.thejournal.com/highlights/roadmap/
K12 Teaching & Learning Center http://www.k12tlc.net
Children of Dreams http://www.gsn.org/programs/dreams/lessonplan.html
KidLink.org http://www.kidlink.org
Activities Online activities WebQuests Ideas/topic searches Offline activities Discussions Debates
WebQuests Internet inquiry-based activities “Online lesson plans” Provide challenging task, scenario, or problem to solve Provide resources for students Summarizing activity is meant to synthesize prior learning
The WebQuest Page http:// webquest.sdsu.edu /
TechTrekkers WebQuests http:// www.techtrekers.com/webquests
Probability and Statistics WebQuest http://stickware.home.comcast.net/probability/index.html
Math Models and Economics  http://www.amaisd.org/nheights/zennadi_&_james_project.htm
Geometry and the Pythagorean Theorem  http://www.public.iastate.edu/~nelehita/Geometry%20Project/
Strategies for Internet Integration
Identify the Goal Link to Web sites that you find useful Create a page with the links Students can use your list for guidance Post your list on the Web to bookmark sites Create a classroom page with favorite sites
BackFlip http://www.backflip.com/
Bookmark Tracker http:// www.bookmarktracker.com /
Hotlists Internet links to media Students can discover artifacts on a topic Students can download the items to be used in presentations
Filamentality http://www.filamentality.com/wired/fil/index.html
Mathematics Hotlist  http://www.kn.sbc.com/wired/fil/pages/listmathmr48.html
A Hotlist of Math Links  http://www.kn.att.com/wired/fil/pages/listmathlinpa.html
Writing in the Math Classroom  http://www.kn.att.com/wired/fil/pages/listmathemattr.html
Treasure Hunts Find Web sites that hold information Pose one key question per page to define scope of topic Include a culminating higher order thinking skills activity
Cyberbee Treasure Hunt  http://www.cyberbee.com/mathhunt.html
Paper Airplanes http://phoenix.gov/AVIATION/kids/airplanes.html
Subject Sampler Prepare smaller variety of Web sites organized around a topic Choose intriguing sites Students are asked about their perspectives on topics, comparisons, etc.
Quadratic Equations Subject Sampler http://www.kn.att.com/wired/fil/pages/samquadratida.html
NASA: Centennial of Flight http://quest.arc.nasa.gov/projects/aero/centennial/sampler.html
Putting it Together
How do I start? With the end in mind What is the intention? What do I want the end result to be? Focus on technology skills or production? What end results will I facilitate? Kelly, Deidre, “The Year Ahead”, Classroom Connect, September 2000, p. 16.
How do I start? Set goals for you and your students Teacher Goals: I want to feel confident when my students speak about the Internet. I want to learn how to use the Internet to find teacher materials. I want to integrate the Internet into my curriculum. Kelly, Deidre, “The Year Ahead”, Classroom Connect, September 2000, p. 16.
How do I start? Set goals for you and your students Student Goals: I want my students to treat the Internet as a tool, not a toy. I want my students to learn how to use the Internet as a publishing tool. I want my students to learn how to use the Internet as a research tool. Kelly, Deidre, “The Year Ahead”, Classroom Connect, September 2000, p. 16.
How do I start? Look at current curriculum with an eye towards where it may be lacking Do learners come out of the unit knowing enough information? Are the students actively engaged? Do they pursue higher-level thinking? Create a Web-based activity for the learning aspect that you would revise anyway (WebQuest, Treasure Hunt…)
How do I start? Once you feel comfortable with the tools, you change YOUR way of thinking Become creative and internalize the use of the tools NETS  ( http://cnets.iste.org ) National Educational Technology Standards for teachers and students
Teaching and Learning Carefully guided and structured Learners are engaged Students must understand exploration ( not playing around ) Students are investigating, asking questions, writing, etc. Developing reading, writing, and thinking skills.
Other Online Tools PuzzleMaker: online puzzles http://www.puzzlemaker.com TrackStar: online lesson format http://trackstar.hprtec.org/ QuizStar: online quizzes http://quizstar.4teachers.org/ eBoard: easy posting of information http://www3.eboard.com/ Filamentatility: creating activities http://www.filamentality.com/wired/fil/index.html
Integrating Internet Tools into the Mathematics Classroom Steve Spengler [email_address] Coordinator of Educational Technology Colonial Intermediate Unit 20

Integrating the Internet into the Mathematics Classroom