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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.

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

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  • 1. Technology Integrationin theES Math Classroom
    Susan Weitzman-Trifman
    EdTech541
    Fall 2011
    Picture used through Creative Commons from Pratham Books
  • 2. Use TPACK
    To understand, plan and develop technology enriched math curriculum
    Math
    Pedagogical
    Knowledge
    (PK)
    Math
    Content Knowledge
    (CK)
    Math
    PCK
    Math
    TPCK
    Math
    TCK
    Math
    TPK
    Math Technological
    Knowledge (TK)
  • 3. Keep in mind
    Technology is a tool for developing student thinking
    Photo used through Creative Commons from Maria
  • 4. Recognize
    Technology is not only a pedagogical, but alsoa mathematical, tool
    Photo used through Creative Commons from minhtram0901
  • 5. Remember to Plan
    An appropriate combination of off- and on- computer activities
  • 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. Using the InternetIntegration 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. Using the InternetRelative Advantage
    • Allows easy contacts with experts and students in other schools
    • 9. Promotes social interaction & discourse about mathematics
    • 10. Available anywhere, anytime
    • 11. Im
    Photo used through Creative Commons from Mitzii
  • 12. Using the InternetResources & Links
    Ask Dr. Math
    Find answers to math questions in ES Archive or ask your own questions!
    http://mathforum.org/dr.math
  • 13. Using the InternetResources & Links
    Eyejot
    ES students can work with a teacher to send math messages
    to parents
    & other classes
    http://www.eyejot.com
  • 14. Using the InternetResources & Links
    KidBlog
    Discuss math topics in a safe, age appropriate environment
    http://kidblog.org
  • 15. 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.
  • 16. Tool Based SoftwareIntegration Strategy
    “Technology provides an ideal means of developing student knowledge and skill related to data analysis"
    (Roblyer and Doering, 2010, p.324)
  • 17. Tool Based SoftwareRelative Advantage
    • Helps children represent statistical data with ease, in a wide range of forms
    • 18. Provides an environment in which children can explore
    • 19. Easy to update information
    • 20. Builds number sense
    Photo usedthrough Creative Commons from Igor Kalimov
  • 21. Tool Based SoftwareResources & Links
    Create a Graph
    Spreadsheet Software
    for Younger Students
    http://nces.ed.gov/nceskids/createagraph/default.aspx
  • 22. Tool Based SoftwareResources & Links
    Max Count
    Spreadsheet Software
    for Younger Students
    http://www.maxstoolbox.com/En-Au/Pages/MaxCount.aspx
  • 23. Tool Based SoftwareResources & Links
    Interactive Spreadsheets
    For upper
    ES students
    http://www.mathsnet.net/embedded/index.html
  • 24. Tool Based SoftwareResources & Links
    ICT Spreadsheets & Databases
    Downloadable resources
    http://www.primaryresources.co.uk/ict/ict2.htm
  • 25. Problem Statement
    Problem statement: students, especially younger ones, need concrete objects or pictures to help them understand numbers
    and other mathematical concepts.
    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.
  • 26. Productivity SoftwareIntegration 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
  • 27. Productivity SoftwareRelative Advantage
    • Unlimited numbers available anywhere, anytime
    • 28. Easy to clean up and store
    • 29. Children may view them as more sophisticated than concrete manipulatives
    • 30. Free!
    Photo used through Creative Commons from Kevin Vail
  • 31. Productivity SoftwareResources & Links
    National Library of Virtual Manipulatives
    http://nlvm.usu.edu
  • 32. Productivity SoftwareResources & Links
    PBS’s
    talking calculator
    Especially useful with younger students
    http://pbskids.org/cyberchase/math-games/calculator
  • 33. Productivity SoftwareResources & Links
    Shodor Manipulatives for Grades 3-5
    http://www.shodor.org/interactivate/activities
  • 34. Problem Statement
    Problem: students sometimes need individual
    instruction in math topics where they can see examples of concepts applied in ways they can understand.
    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.
  • 35. Instructional SoftwareRepresentation of Principles
    “Representation
    of mathematical principles” includes the use of spreadsheets and geometry-related software.
    -Robyler and Doering (2010)
  • 36. Representation of PrinciplesRelative Advantage
    • Gives students an environment in which to make discoveries and conjectures
    • 37. Motivating
    • 38. Easy to manipulate
  • Representation of PrinciplesResources & Links
    Illuminations:
    Math activities and lessons for ES students
    http://illuminations.nctm.org
  • 39. Representation of PrinciplesResources & Links
    Khan Academy’s Arithmetic Instructional Videos
    Arithmetic & Geometry playlists include videos suitable for older ES students
    Example Video: Why Borrowing Works
    http://youtu.be/fWan_T0enj4
  • 40. Representation of PrinciplesResources & Links
    BrainPop Jr. Math Videos
    Learn about math topics through instructional videos
    http://www.brainpopjr.com/math
  • 41. Problem Statement
    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 estimates.
    Photo usedthrough Creative Commons from PiersNye
  • 42. Instructional SoftwareSkill Building and Practice
    “Motivating
    skill building and practice provides practice
    in foundation
    skills needed for higher order learning.”
    -Robyler and Doering (2010)
    Photo usedthrough Creative Commons from PiersNye
  • 43. Skill Building & PracticeRelative Advantage
    • Provides guided instruction within a structured learning environment
    • 44. Delivers instruction when teacher may not be available
    • 45. Immediate feedback
    • 46. Motivating
  • Skill Building and PracticeResources & Links
    NCTM’s
    Calculation
    Nation
    Free but must
    sign in to play
    against others
    http://calculationnation.nctm.org/Games
  • 47. Skill Building and PracticeResources & Links
    BBC’s Math Practice Sites
    Maths: for Grades 3-5
    http://www.bbc.co.uk/schools/ks2bitesize/maths
    Numeracy: for Grades K-2
    http://www.bbc.co.uk/schools/ks1bitesize/numeracy
  • 48. Skill Building and PracticeResources & Links
    Addition and Subtraction Facts Practice Sites
    http://wbais3.wikispaces.com/Add+%26+Subtract+FACTS
  • 49. 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