## Resources for Teaching Functions inDevelopmental Math, Precalc, & Calc I

Concurrent Session, 1 Room 100: 10:10 am-10:55 am
Abstract

With a focus on functions, examine some digital manipulatives, spread sheets, and Geometer's Sketch Pads designed to bring movement to a math lecture or lab. Hear a slope. Go from slope to difference quotient to derivative. Use termtiles then sketchpad to compose functions to illustrate (line)(line)= (quadratic). “Concretely” translate and reflect graphs. Easily graph functions, composit functions, inverse functions. Graph Asin(Bx-C)+D by just changing the variables. Compute compounding, exponential, logistic, normal, ... models. All material, including Geometer’s Sketchpad, is now free. Come play.

 The Talk Choose the best Math Class Language.   Hear a slope. Slope in Sound & Picture   Go from slope to difference quotient to derivative.       Take A Derivative by Taking The Limit of A Difference Quotient, then             sheet 2 of fX.f'X.f''X.intX.gsp   Use termtiles then sketchpad to compose functions to illustrate             (line)(line)= (quadratic). Algebraic Multiplication with hot.xls then       compositeFX.gsp or parabola.gsp or compositeFx.poly.ratl.gsp   “Concretely” translate and reflect graphs. parentFX2.gsp   Easily graph functions, composit functions, inverse functions. inverse.gsp   Graph Asin(Bx-C)+D by just changing the variables. sine.xls   Compute compounding, exponential functions and models exp2.xls  STEM '23 video - a longer, more detailed presentation   STEM '23 pdf - of this page

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 The Languages of the Math Classroom© '98, '08, '09 Agnes Azzolino MOTHER TONGUE & OTHER TONGUE(S) Most Sophisticated and also the Most Basic MOSTLY MATH TONGUES Most Sophisticated, Most Basic VERBAL / Auditory WRITTEN / Symbolic PICTORIAL / Visual CONCRETE / Kinesthetic formal spoken mathematics written word DIGITAL MANIPULATIVE object informal spoken mathematics written symbol moving picture model spoken symbol semisymbolic static picture manipulative/token symbol speak calculator symbol numeral calculatoreze/computereze graph web speak nonverbal body language

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