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Technology Integration in the ES Math Classroom
- 1. Technology Integration in the ESMath Classroom Susan Weitzman-Trifman EdTech541 Fall 2011 Picture used through Creative Commons from Pratham Books
- 2. Use TPACK Math Content Knowledg e (CK) Math Pedagogical Knowledge (PK) Math Technological Knowledge(TK) Math PCK Math TCK Math TPK Math TPCK To understand, plan and develop technology enriched math curriculum
- 3. Keep in mind Technology isa tool for developing student thinking Photo used through Creative Commons from Maria
- 4. Recognize Technology is notonly a pedagogical, but also a mathematical, tool Photo used through Creative Commons from minhtram0901
- 5. Remember to Plan Anappropriate combination of off- and on- computer activities
- 6. Problem Statement Students needto communicate about mathematics with others. Standard 8: Students will communicate their mathematical thinking coherently and clearly to peers, teachers, and others; analyze and evaluate the mathematical thinking and strategies of others and use the language of mathematics to express mathematical ideas precisely.
- 7. Using the Internet IntegrationStrategy “The Internet offers students the opportunity to communicate (about mathematics) with each other or even with experts in different fields" (Roblyer and Doering, 2010, p.324)
- 8. Using the Internet RelativeAdvantage • Im Photo used through Creative Commons from Mitzii • Allows easy contacts with experts and students in other schools • Promotes social interaction & discourse about mathematics • Available anywhere, anytime
- 9. Using the Internet Resources& Links Ask Dr. Math Find answers to math questions in ES Archive or ask your own questions! http://mathforum.org/dr.math
- 10. Using the Internet Resources& Links http://www.eyejot.com Eyejot ES students can work with a teacher to send math messages to parents & other classes
- 11. Using the Internet Resources& Links KidBlog Discuss math topics in a safe, age appropriate environment http://kidblog.org
- 12. Problem Statement Students need opportunitiesto work with data and statistics from an early age. Standard 5: Students will collect, organize, analyze, and represent data in order to make valid decisions and predictions, and understand and apply basic concepts of chance and probability.
- 13. Tool Based Software IntegrationStrategy “Technology provides an ideal means of developing student knowledge and skill related to data analysis" (Roblyer and Doering, 2010, p.324)
- 14. Tool Based Software RelativeAdvantage Photo used through Creative Commons from Igor Kalimov • Helps children represent statistical data with ease, in a wide range of forms • Provides an environment in which children can explore • Easy to update information • Builds number sense
- 15. Tool Based Software Resources& Links http://nces.ed.gov/nceskids/createagraph/default.aspx Create a Graph Spreadsheet Software for Younger Students
- 16. Tool Based Software Resources& Links http://www.maxstoolbox.com/En-Au/Pages/MaxCount.aspx Max Count Spreadsheet Software for Younger Students
- 17. Tool Based Software Resources& Links http://www.mathsnet.net/embedded/index.html Interactive Spreadsheets For upper ES students
- 18. Tool Based Software Resources& Links http://www.primaryresources.co.uk/ict/ict2.htm ICT Spreadsheets & Databases Downloadable resources
- 19. Problem Statement Standard 1:Students will demonstrate understanding of relationships among numbers, their uses, and their representations. and Standard 2: Students will recognize patterns and use appropriate methods to represent, analyze, and solve mathematical and practical situations involving patterns and functional relationships, with and without technology. Problem statement: students, especially younger ones, need concrete objects or pictures to help them understand numbers and other mathematical concepts.
- 20. Productivity Software Integration Strategy Avirtual manipulative is an “interactive web-based visual representation of a dynamic object that presents opportunities for constructing mathematical knowledge" (Moyer, 2002, p. 373) Pictures used through Creative Commons from Project H
- 21. Productivity Software Relative Advantage Photoused through Creative Commons from Kevin Vail • Unlimited numbers available anywhere, anytime • Easy to clean up and store • Children may view them as more sophisticated than concrete manipulatives • Free!
- 22. Productivity Software Resources &Links National Library of Virtual Manipulatives http://nlvm.usu.edu
- 23. Productivity Software Resources &Links http://pbskids.org/cyberchase/math-games/calculator PBS’s talking calculator Especially useful with younger students
- 24. Productivity Software Resources &Links http://www.shodor.org/interactivate/activities Shodor Manipulatives for Grades 3-5
- 25. Problem Statement Standard 10:Students will select, apply and translate among mathematical representations to solve problems and will use representations to model and interpret physical, social, and mathematical phenomena. and Standard 3: Students will use visualization and spatial reasoning and apply the properties of geometric figures to represent, investigate, analyze, and solve problems, using tools and technology when appropriate. Problem: students sometimes need individual instruction in math topics where they can see examples of concepts applied in ways they can understand.
- 26. Instructional Software Representation ofPrinciples “Representation of mathematical principles” includes the use of spreadsheets and geometry-related software. -Robyler and Doering (2010)
- 27. Representation of Principles RelativeAdvantage • Gives students an environment in which to make discoveries and conjectures • Motivating • Easy to manipulate
- 28. Representation of Principles Resources& Links http://illuminations.nctm.org Illuminations: Math activities and lessons for ES students
- 29. Representation of Principles Resources& Links Example Video: Why Borrowing Works http://youtu.be/fWan_T0enj4 Khan Academy’s Arithmetic Instructional Videos Arithmetic & Geometry playlists include videos suitable for older ES students
- 30. Representation of Principles Resources& Links http://www.brainpopjr.com/math BrainPop Jr. Math Videos Learn about math topics through instructional videos
- 31. Problem Statement Photo usedthrough Creative Commons from Piers Nye Students need ways to practice math skills in order to become fluent in computation and other areas. Standard 1: Students will demonstrate understanding of relationships among numbers, their uses, and their representations. Students will demonstrate understanding of meaning of operations, compute fluently and make reasonable
- 32. Instructional Software Skill Buildingand Practice “Motivating skill building and practice provides practice in foundation skills needed for higher order learning.” -Robyler and Doering (2010) Photo used through Creative Commons from Piers Nye
- 33. Skill Building &Practice Relative Advantage • Provides guided instruction within a structured learning environment • Delivers instruction when teacher may not be available • Immediate feedback • Motivating
- 34. Skill Building andPractice Resources & Links http://calculationnation.nctm.org/Games NCTM’s Calculation Nation Free but must sign in to play against others
- 35. Skill Building andPractice Resources & Links BBC’s Math Practice Sites http://www.bbc.co.uk/schools/k s2bitesize/maths http://www.bbc.co.uk/schools/ks1bitesize/numeracy Numeracy: for Grades K-2 Maths: for Grades 3-5
- 36. Skill Building andPractice Resources & Links Addition and Subtraction Facts Practice Sites http://wbais3.wikispaces.com/Add+%26+Subtract+FACTS
- 37. References • Moyer, P.(2002, February). What are virtual manipulatives?. Teaching Children Mathematics, 372-377. Retrieved from http://edtechleaders.org/documents/algebra/1whatarevms.pdf • Roblyer, M.D. & Doering, A.H. (2010).Integrating educational technology into teaching. (fifth ed.). Boston, MA: Pearson Education, Inc. • Wright, C. (2006, July). Virtual manipulatives. Presentation delivered at National education computing conference, San Diego, CA. Retrieved from http://www.slideshare.net/lwright3768/virtual-manipulatives-presentation