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Discovering Math Across
the Generations (DMAG)



                          1
Empire State College, State University of
New York, Founded, 1971




                                            2
The Reflective Practitioner

    The practitioner allows himself to
    experience surprise, puzzlement, or
    confusion in a situation which he finds
    uncertain or unique. He reflects on the
    phenomenon before him, and on the
    prior understandings which have been
    implicit in his behaviour. He carries out
    an experiment which serves to generate
    both a new understanding of the
    phenomenon and a change in the
    situation.
    (Schön 1983: 68)
Needs Assessment

 Should consider both faculty and students
 Learning Styles
 Exhibit “Best Practices”
 “Personalize through standardization”
 Faculty “Soft” roll outs
   Face-to-Face Consultations
   Workshops
   Online Tutorials – Live/Async
   Help Desk Support
 Organizational Cost-Benefits
Profiling Your Audience

 Prior Knowledge
 Current Skills & Training
 Access to Tools
 Benefits – Perceived vs. Actual
 Attitudes, Biases, Habits
 Ability & Motivation to Attend Training
 Cultural Conflicts
Course Delivery Options
 Independent Study
 Residency
 Group Study
 Onsite Classroom
 Online
           we shape our tools, and
        thereafter our tools shape us
                 (McLuhan)



                                        6
DMAG Course Goal
 To facilitate the learning of topics in Algebra, Geometry,
 number sense, estimation, logical thinking, Probability and
 Statistics through presenting these concepts to other family
 members and children, using Family Math materials.




                                                                7
Course Objectives
Employ topics in Algebra, Geometry, number sense, estimation,
  logical thinking, Probability and Statistics and be able to apply
  these concepts to solve real-world problems.
   Use journaling to achieve a deeper understanding of
  mathematical concepts as well as an increased ability to
  articulate how mathematics is learned.
       Represent mathematical information symbolically, visually,
                                                            visually
        numerically and verbally and be able to interpret and draw
                              inferences from mathematical models
Estimate and check mathematical results for reasonableness, as
  well as recognize the limits of mathematical and statistical
  methods.
   Evaluate and locate quality web- based math resources that can
        assist in solving problems and demonstrate an awareness,
     after working with a child, of how effectiveness of a resource
     depends on a user’s particular learning style and ability level.


                                                                    8
Building An Extended Syllabus




                                9
Designing for Teaching Presence

 Module Structure and Course Content
 Anderson, Rourke, Garrison and Archer.
 Assessing Teaching Presence in a Computer
 Conferencing Context. Journal of
 Asynchronous Learning Networks. Volume
 5, Issue 2 - September 2001
Course Modules

 Chunking content - usually 5 to 6 modules for a 15-
 week course
 Cohesion through “threaded activities”
 For each module
   overview
   a content guide or key concept page written by the
   developer & SME
   required readings
   assignments (written, lab, debate, etc.)
   a discussion forum with an open-ended question or set of
   questions
   a list of online resources
Modules
Module Content Guide
Course Interaction
 Online Journaling for Reflection
 Discussions – class & teams
 Drop Boxes
 Sharing Resources
 Collaborations




                                    14
Web 2.0 Enabling Tools

 Delicious – Social Bookmarks
 Dipity – Dynamic Timelines
 Voicethread – “Ice Breaker” Discussions
 Dapper – Create RSS feeds or Widgets to
 bring in content from multiple sites
 Wikispaces – Authoring and Collaboration
Course Resources
 Text Books & Readings
 Embedded Media
 Websites
 Online Library




                         16
Course Assessment of Outcomes
 Acknowledgement
 Digest & Synthesis
 Show me
  Evidence-based
  ePortfolios
  Cumulative reflection
 Credentialing for Employment


                                17
Course Pre-Publish Refinements

 Final edit
 Format review
 Evaluation
 Content Review by content expert
External Course Review
SMART – Quant Literacy
Math & Science Literacy for Civic Engagement Course List

   Contemporary Environmental Issues
   Discovering Math Across Generations
   Energy: The Issues and the Science (coming soon)
   Ethnobotany (coming soon)
   Evolution: One Long Argument
   The Future of Being Human (coming soon)
   Global Climate Change (coming soon)
   GPS and the New Geography
   Invention By Design (coming soon)
   Marine Biology
   Math For The Inquiring Mind
   Mathematical Modeling
   Population and Disease (coming soon)
   Statistics: An Activity Based Approach (coming soon)
   Visualizing Mathematics

                                                           20
Many ID Models and Resources
 Penn State Learning Community Hub
 SLOAN-C Effective Practices
 Concordia Consortium Model
 Six Models for Course Redesign
 VaTech’s Design Shop




                                     21

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Discovering Math Across The Generations

  • 1. Discovering Math Across the Generations (DMAG) 1
  • 2. Empire State College, State University of New York, Founded, 1971 2
  • 3. The Reflective Practitioner The practitioner allows himself to experience surprise, puzzlement, or confusion in a situation which he finds uncertain or unique. He reflects on the phenomenon before him, and on the prior understandings which have been implicit in his behaviour. He carries out an experiment which serves to generate both a new understanding of the phenomenon and a change in the situation. (Schön 1983: 68)
  • 4. Needs Assessment Should consider both faculty and students Learning Styles Exhibit “Best Practices” “Personalize through standardization” Faculty “Soft” roll outs Face-to-Face Consultations Workshops Online Tutorials – Live/Async Help Desk Support Organizational Cost-Benefits
  • 5. Profiling Your Audience Prior Knowledge Current Skills & Training Access to Tools Benefits – Perceived vs. Actual Attitudes, Biases, Habits Ability & Motivation to Attend Training Cultural Conflicts
  • 6. Course Delivery Options Independent Study Residency Group Study Onsite Classroom Online we shape our tools, and thereafter our tools shape us (McLuhan) 6
  • 7. DMAG Course Goal To facilitate the learning of topics in Algebra, Geometry, number sense, estimation, logical thinking, Probability and Statistics through presenting these concepts to other family members and children, using Family Math materials. 7
  • 8. Course Objectives Employ topics in Algebra, Geometry, number sense, estimation, logical thinking, Probability and Statistics and be able to apply these concepts to solve real-world problems. Use journaling to achieve a deeper understanding of mathematical concepts as well as an increased ability to articulate how mathematics is learned. Represent mathematical information symbolically, visually, visually numerically and verbally and be able to interpret and draw inferences from mathematical models Estimate and check mathematical results for reasonableness, as well as recognize the limits of mathematical and statistical methods. Evaluate and locate quality web- based math resources that can assist in solving problems and demonstrate an awareness, after working with a child, of how effectiveness of a resource depends on a user’s particular learning style and ability level. 8
  • 9. Building An Extended Syllabus 9
  • 10. Designing for Teaching Presence Module Structure and Course Content Anderson, Rourke, Garrison and Archer. Assessing Teaching Presence in a Computer Conferencing Context. Journal of Asynchronous Learning Networks. Volume 5, Issue 2 - September 2001
  • 11. Course Modules Chunking content - usually 5 to 6 modules for a 15- week course Cohesion through “threaded activities” For each module overview a content guide or key concept page written by the developer & SME required readings assignments (written, lab, debate, etc.) a discussion forum with an open-ended question or set of questions a list of online resources
  • 14. Course Interaction Online Journaling for Reflection Discussions – class & teams Drop Boxes Sharing Resources Collaborations 14
  • 15. Web 2.0 Enabling Tools Delicious – Social Bookmarks Dipity – Dynamic Timelines Voicethread – “Ice Breaker” Discussions Dapper – Create RSS feeds or Widgets to bring in content from multiple sites Wikispaces – Authoring and Collaboration
  • 16. Course Resources Text Books & Readings Embedded Media Websites Online Library 16
  • 17. Course Assessment of Outcomes Acknowledgement Digest & Synthesis Show me Evidence-based ePortfolios Cumulative reflection Credentialing for Employment 17
  • 18. Course Pre-Publish Refinements Final edit Format review Evaluation Content Review by content expert
  • 20. SMART – Quant Literacy Math & Science Literacy for Civic Engagement Course List Contemporary Environmental Issues Discovering Math Across Generations Energy: The Issues and the Science (coming soon) Ethnobotany (coming soon) Evolution: One Long Argument The Future of Being Human (coming soon) Global Climate Change (coming soon) GPS and the New Geography Invention By Design (coming soon) Marine Biology Math For The Inquiring Mind Mathematical Modeling Population and Disease (coming soon) Statistics: An Activity Based Approach (coming soon) Visualizing Mathematics 20
  • 21. Many ID Models and Resources Penn State Learning Community Hub SLOAN-C Effective Practices Concordia Consortium Model Six Models for Course Redesign VaTech’s Design Shop 21