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Engaging Students’ Minds by Bringing Trigonometry to Life!

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Presentation on theme: "Engaging Students’ Minds by Bringing Trigonometry to Life!"— Presentation transcript:

1 Engaging Students’ Minds by Bringing Trigonometry to Life!
Stephen J. Hegedus Sara Dalton SimCalc Research Projects, Department of Mathematics University of Massachusetts, Dartmouth merg.umassd.edu Developed under NSF-based Grants: REC , Understanding Classroom Interactions Among Diverse, Connected Classroom Technologies; REC , Representation, Participation and Teaching in Connected Classrooms; REC , Scaling Up SimCalc: Professional Development for Leveraging Technology to Teach More Complex Mathematics, Phase I; REC , Scaling Up Middle School Mathematics Innovations, Phase II

2 SimCalc MathWorlds Dynamic interactive representations that are linked, e.g. edit a position function and automatically see velocity graphs update Graphically and algebraically editable functions Import motion data and re-animate (CBR & CBL2) Simulations are at the heart of SimCalc - executable representations (Moreno, 2001)

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4 SimCalc “Connected” MathWorlds
New generation of SimCalc that increases participation, motivation and learning Exploits wireless networks to allow the aggregation of student work in mathematically meaningful ways Teachers have powerful classroom management tools to focus attention and pedagogical agenda Student work becomes contextualized into a class of contributions for comparison and generalization Mathematical thinking goes from a local to a social activity

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6 Start at A and go (anti-)clockwise
y=6sin(x-pi/2)+6 y=-6cos(x)+6

7 Start at B Anti-Clockwise: y=-6cos(x-pi/2)+6 y=-6sin(x)+6 Clockwise: y=6sin(x)+6 y=6cos(x-pi/2)+6

8 Start at C and walk (anti)clockwise: y=6cos(x)+6 y=-6sin(x-pi/2)+6

9 Start at D and walk clockwise: y=-6sin(x)+6 y=-6cos(x-pi/2)+6 Start at D and walk anti-clockwise: y=6sin(x)+6 y=6cos(x-pi/2)+6

10 Engaging Students’ Minds by Bringing Trigonometry to Life!
Stephen J. Hegedus Sara Dalton SimCalc Research Projects, Department of Mathematics University of Massachusetts, Dartmouth merg.umassd.edu Developed under NSF-based Grants: REC , Understanding Classroom Interactions Among Diverse, Connected Classroom Technologies; REC , Representation, Participation and Teaching in Connected Classrooms; REC , Scaling Up SimCalc: Professional Development for Leveraging Technology to Teach More Complex Mathematics, Phase I; REC , Scaling Up Middle School Mathematics Innovations, Phase II


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