DEMOS with POSITIVE IMPACT
NSF DUE 9952306

A project to connect Mathematics instructors with effective teaching tools.

Catalog of Classroom Demonstrations
Contributions from Mathematics Educators

David R. Hill, Temple University
Lila F. Roberts, Georgia College and State University

                   

A  B  C  D  E  F  G  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Z


A
Animations 
Animating Transformations

Applets
Area
        of triangles and other regions
Area between two curves 
Area Estimates
Area Simulations
Average Rates of Change

B
Bacteria Allocation 
Beer Mug
Best Fit Experimenters 
Biorythms

C
Calculator 
        TI-83, optimizing sinusoids
Calculus
         Area between two curves 
        Derivatives
                definition graphically
                partials
        Families of Functions and Curves
        Gallery of volume visualizations
       
Optimization with a gallery of demos
       
Related Rates with a gallery of demos
        Riemann sums
                symbolic and graphical
                area between curves
Carpenter
        divides a rectangle
        draws a circle
        draws an ellipse
        jig
        square
Catenary
Cell phone
        base station
        signal of
        signal-to-interference ratio
Celluar network
Centroids 
Chocolate Chip Allocation
Ciphers
Circle
        construction using a carpenter's square
Circular-functions 
Congruent triangles (application)
Conics
        eccentricity
        ellipse drawn by a carpenter
        parabola via a motion sensor 
        gallery of conic section graphs/animations
Constructing conics
        on a white board 
Continuity
        of piecewise functions
                interactive Excel demos
                interactive Java demos
Cross Sections
Cryptography
        Vigenere Cipher
Curve fitting
Curved Cube
Cycloids

D
Decreasing functions
Deductive reasoning
Derivatives
        definition graphically
        of piecewise functions
                interactive Excel demos
                interactive Java demos
        partials
DERIVE
Differential equations
        Mechanical Vibrations
                via sound 
        Resonant filter
Disks
Dividing a rectangle
Domain
        of functions defined by formulas (animations)
        of functions defined piecewise (animations)
Dot Products
Drawing a circle
        using a carpenter's sqaure

E
Eccentricity
Electric utility cables
Ellipse drawn by a carpenter
Engine sinusoid
Epicycloids 
Escalator Motion 
Excel
Exponential functions graphs/animations

F
Families of Functions and Curves
        Gallery of conic sections graphs/animations
        Gallery of exponential and logarithmic graphs/animations
        Gallery of polar graphs/animations
        Gallery of polynomial and rational function graphs/animations
        Gallery of trigonometric and inverse graphs/animations
Ferris wheel
Framing square

G
Gallery of conic sections graphs/animations

Gallery of exponential and logarithmic graphs/animations
Gallery of partial derivative animations
Gallery of polar graphs/animations
Gallery of polynomial and rational function graphs/animations
Gallery of trigonometric and inverse graphs/animations
Gallery of volume visualizations
Gas bill model using sinusoids
Geometer's Sketchpad

H
Hanging cable
Homogeneous Coordinates
Hours of daylight
Hypocycloids

I
Increasing functions
Induction
        geometric example
        hypothesis
        mathematical
        principle of
Inequalities
Infinite Series
        introduction using "food"
Interactive routines
        in Excel
                continuity
                differentiability
                hours of daylight
                monotonicity
        in Java
                continuity
                differentiability
Interpolation applications
        of a light bulb
        of a sea worm
        of a wine bottle
Inverse trigonometric functions graphs/animations
J
Java Applets

K

L
Leaky Faucet
Least Squares
Linear Combination 
Linear Transformations

Logarithmic functions graphs/animations

Logistic Curve 
        animation    
M
MAPLE
MATHCAD
MATHEMATICA
MATHWRIGHT

MATLAB
Matrices
        RGB color Linear Combination
        Reversals
Matrix Inverses 
Matrix-Vector Multiplication
Max-Min with a gallery of demos 
Mechanical Vibrations
        via sound 
Modeling electric utility lines
Monotonicity
        gallery of animations
        interactive Excel demos
Monte Carlo 
        for probability demos
        in area simulations
Morse code
Motion sensor 
My Favorite Mug

N

O
Optimization with a gallery of demos
Optimization on a TI-83

P
Parabola
        via a motion sensor 
Partial Derivatives 
Pendulum motion and sinusoids
Plinko
Polar curves graphs/animations
Polynomial functions graphs/animations
Probability 
Pump Network
Puzzle
        tromino
 

Q

R
Rafter square
Rainbows 
Range
        of functions defined by formulas (animations)
        of functions defined piecewise (animations)
Rate of growth
        logistics model
Rational functions graphs/animations
Related Rates with a gallery of demos
Resonant filter
RGB color Linear Combination 
Riemann sums
        symbolic and graphical
        area between curves
Rotating (curved) Cube

S
Sail Construction
Secant line
Secret codes
Shells
Signal
        of a cell phone
        primary
        secondary
        -to-interference ratio
Simulations
        for probability demos
        for area
Sinusoids
        applications and modeling
        biorythms
        engine
        Ferris wheel
        (in your) gas bill
        hours of daylight
        pendulum motion
        using optimization on a TI-83
Software
Sound 
        of mechanical vibrations
Square
        2n by 2n
        carpenter's
        framing
        rafter
        steel
Steel square
Student participation

T
Tangent line
Taylor polynomials
Tile
Triangles
   
     in sail construction
        area 
Trig functions
        generation of sine and cosine
        graphs/animations
Tromino puzzle
        geometric example of induction
   
U

V
Vigenere Cipher
Visualizations
        for max-min problems
        for volumes of solids
   
      for word problems
        for families of functions and curves
Volumes of physical objects
Volumes of solids
        a light bulb  
        of revolution
              by cross sections              
  
             by disks
              by shells
              by washers
        of sea worm
        of a wine bottle

W
Washers
What you don't see
Word Problems with a gallery of demos

X

Y

Z

Last updated 2/23/2005     DRH

Visitors since 8/29/2003