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Interactive Graphics Tools and Global Learning

Explore innovative ways to teach math using L-Systems, Turtle Graphics, and more. Learn how people understand math and standards-based teaching. Enhance math education through examples and technology.

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Interactive Graphics Tools and Global Learning

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  1. Interactive Graphics Tools and Global Learning Mara Alagic & Glyn RimmingtonWichita State University Banff 2007: Innovations in Mathematics Education via the Arts

  2. Outline • L-Systems • Turtle Graphics • Rendering / Animation • How people learn • Standards-based Teaching • Teaching for Understanding • Examples Banff 2007: Innovations in Mathematics Education via the Arts

  3. Parallel Rewriting System axiom A rule A = AB rule B = A A AB ABA ABAAB ABAABABA ABAABABAABAAB L-Systems Banff 2007: Innovations in Mathematics Education via the Arts

  4. Turtle Graphics F move forward and draw f move forward + - turn left or right ^ & pitch up or down < > roll clockwise or anticlockwise Banff 2007: Innovations in Mathematics Education via the Arts

  5. Turtle Graphics Z Yaw + Roll X > Pitch & Y Banff 2007: Innovations in Mathematics Education via the Arts

  6. Turtle Graphics pop off branch stack 5 3 F [ + F ] F 2,4 1 2 3 4 5 push onto branch stack 1 Banff 2007: Innovations in Mathematics Education via the Arts

  7. Turtle Graphics push onto polygon stack 3 4 2 F {. +g. +g. } 1 2 3 4 pop off polygon stack 1 Banff 2007: Innovations in Mathematics Education via the Arts

  8. How People Learn • Developmental level • Prior knowledge • Learning styles • Multiple Intelligences • “How People Learn” (NRC, 2000) Banff 2007: Innovations in Mathematics Education via the Arts

  9. Standards-based Teaching • Mathematics (NCTM, 2000) • Arts (http://artsedge.kennedy-enter.org/teach/standards/) • Technology (http://www.iste.org/) • BTTB (http://www.education.wichita.edu/alagic/BTTB/BTTB.htm/ ) Banff 2007: Innovations in Mathematics Education via the Arts

  10. Mathematics Standards • Content Standards • Process Standards • Problem solving • Reasoning and proof • Communication • Connections • Representations Banff 2007: Innovations in Mathematics Education via the Arts

  11. Teaching for Understanding • Perkins, 1993 • Conceptual understanding • Project-based learning • Integration across curriculum • Scaffolding (K to ) • Differentiating instruction Banff 2007: Innovations in Mathematics Education via the Arts

  12. Plant Growth Animation Banff 2007: Innovations in Mathematics Education via the Arts

  13. L-parser http://home.wanadoo.nl/laurens.lapre/ Global Dimension – exploring patterns and cultures Have fun! Banff 2007: Innovations in Mathematics Education via the Arts

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