Technology Integration in the ES Math Classroom

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Presentation on technology integration in the ES math classroom for EdTech541 class at Boise State, Fall 2011.

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Technology Integration in the ES Math Classroom

  1. 1. Technology Integration in the ES Math Classroom Susan Weitzman-Trifman EdTech541 Fall 2011 Picture used through Creative Commons from Pratham Books
  2. 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. 3. Keep in mind Technology is a tool for developing student thinking Photo used through Creative Commons from Maria
  4. 4. Recognize Technology is not only a pedagogical, but also a mathematical, tool Photo used through Creative Commons from minhtram0901
  5. 5. Remember to Plan An appropriate combination of off- and on- computer activities
  6. 6. Problem Statement Students need to 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. 7. Using the Internet Integration Strategy “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. 8. Using the Internet Relative Advantage • 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. 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. 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. 11. Using the Internet Resources & Links KidBlog Discuss math topics in a safe, age appropriate environment http://kidblog.org
  12. 12. Problem Statement Students need opportunities to 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. 13. Tool Based Software Integration Strategy “Technology provides an ideal means of developing student knowledge and skill related to data analysis" (Roblyer and Doering, 2010, p.324)
  14. 14. Tool Based Software Relative Advantage 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. 15. Tool Based Software Resources & Links http://nces.ed.gov/nceskids/createagraph/default.aspx Create a Graph Spreadsheet Software for Younger Students
  16. 16. Tool Based Software Resources & Links http://www.maxstoolbox.com/En-Au/Pages/MaxCount.aspx Max Count Spreadsheet Software for Younger Students
  17. 17. Tool Based Software Resources & Links http://www.mathsnet.net/embedded/index.html Interactive Spreadsheets For upper ES students
  18. 18. Tool Based Software Resources & Links http://www.primaryresources.co.uk/ict/ict2.htm ICT Spreadsheets & Databases Downloadable resources
  19. 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. 20. Productivity Software Integration Strategy A virtual 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. 21. Productivity Software Relative Advantage Photo used 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. 22. Productivity Software Resources & Links National Library of Virtual Manipulatives http://nlvm.usu.edu
  23. 23. Productivity Software Resources & Links http://pbskids.org/cyberchase/math-games/calculator PBS’s talking calculator Especially useful with younger students
  24. 24. Productivity Software Resources & Links http://www.shodor.org/interactivate/activities Shodor Manipulatives for Grades 3-5
  25. 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. 26. Instructional Software Representation of Principles “Representation of mathematical principles” includes the use of spreadsheets and geometry-related software. -Robyler and Doering (2010)
  27. 27. Representation of Principles Relative Advantage • Gives students an environment in which to make discoveries and conjectures • Motivating • Easy to manipulate
  28. 28. Representation of Principles Resources & Links http://illuminations.nctm.org Illuminations: Math activities and lessons for ES students
  29. 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. 30. Representation of Principles Resources & Links http://www.brainpopjr.com/math BrainPop Jr. Math Videos Learn about math topics through instructional videos
  31. 31. Problem Statement Photo used through 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. 32. Instructional Software Skill Building and 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. 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. 34. Skill Building and Practice Resources & Links http://calculationnation.nctm.org/Games NCTM’s Calculation Nation Free but must sign in to play against others
  35. 35. Skill Building and Practice 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. 36. Skill Building and Practice Resources & Links Addition and Subtraction Facts Practice Sites http://wbais3.wikispaces.com/Add+%26+Subtract+FACTS
  37. 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

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