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

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

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

Banff 2007: Innovations in Mathematics Education via the Arts Turtle Graphics Fmove forward and draw fmove forward + -turn left or right ^ &pitch up or down roll clockwise or anticlockwise

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

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

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

Banff 2007: Innovations in Mathematics Education via the Arts 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 Standards-based Teaching Mathematics (NCTM, 2000) Arts ( Technology ( BTTB ( )

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

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

Banff 2007: Innovations in Mathematics Education via the Arts L-parser Global Dimension – exploring patterns and cultures Have fun!

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