1. Jill Lazarus Renfrew County District School Board lazarusj@renfrew.edu.on.ca & Geoff Roulet Queen’s University rouletg@queensu.ca Student collaboration using a wiki, GeoGebra, and Jing

2. “At this moment in history, computers are not a natural working medium for mathematics” Dan Meyer on his Blog (http://blog.mrmeyer.com/?p=12782)http://blog.mrmeyer.com/?p=12782 Dan is wrong!

3. Computers and the Internet do not function well as teaching machines but they can provide a medium for communicating, sharing and collaborating

4. Collaborative Mathematics Spaces for Secondary School and University http://collabmath.pbworks.com http://collabmath.pbworks.com or Collaborative Online Investigation http://mathfuture.wikispaces.com/Collaborative+Online+Investigation For technical information on blending wiki’s, GeoGebra, and Jing, go to:

5. NCTM “Communication is an essential part of mathematics and mathematics education…. Through communication, ideas become objects of reflection, refinement, discussion, and amendment” (NCTM, 2000, p. 60). Ontario Mathematics Curriculum "Communication is an essential process in learning mathematics. Through communication, students are able to reflect upon and to clarify ideas, relationships, and mathematical arguments" (Ontario Ministry of Education, 2005, p. 16). Communication in Mathematics OAME “The Ontario Association for Mathematics Education envisions a learning environment where…[s]tudents engage in inquiry, pose questions, and actively discuss their understandings with one another” (OAME website)

6. Combining Tools to Facilitate Blended Communication in Mathematics Wiki A medium for sharing GeoGebra Algebraic, numeric, graphical representations of thinking Sharing Manipulation Jing To record thinking

7. Credits Steve Phelps, teacher at Madeira High School (Cincinnati, OH) Madeira Honors Geometry Wiki (http://madeiramath2.wikispaces.com/)http://madeiramath2.wikispaces.com/ Gerry Stahl, Drexel University and The Virtual Math Teams Project (http://geogebraithaca.wikispaces.com/file/view/z10_os2-3-1.pdf)http://geogebraithaca.wikispaces.com/file/view/z10_os2-3-1.pdf Linda Stojanovska and participants in GeoGebra 101 organized by LearnNowBC (http://www.learnnowbc.ca/educators/MoodleMeets/default.aspx)http://www.learnnowbc.ca/educators/MoodleMeets/default.aspx Renfrew County District School

8. Phases 1.Setting up the environment –Developing a “Math-Talk Community” –Using the wiki –Using GeoGebra 2.Posting text to wiki pages 3.Embedding GeoGebra applets 4.Making & Embedding Jing videos 5.Commenting on each others’ work 6.Combining skills in a collaborative exploration

9. Findings Wide range of technology related experience, skills, and motivation Access and experience enhanced engagement and enthusiasm Creativity & Curiosity - Uniqueness of student generated problems, videos, and alternative approaches. Extension of the classroom community - Posting jokes, thank you’s, wishing happy holiday in addition to building on mathematical thinking. Instrumental for formative assessment/feedback – Window into student thinking, experience in explaining thinking. Summative assessment? Can we expect work to be submitted via the web?

10. Thank You and try it….