James Rutledge

Effect of Coefficient of x^2 on Parabola Vertex (a < 0) part of Merlot Math Pedagogic Collection:Interactive Lectures:Examples
This classroom activity presents College Algebra students with a ConcepTest, a Question of the Day, and a Write-pair-share activity concerning the effect of the coefficient of x^2 on the vertex of a parabola where ...

Effect of Proportionality Constant on Exponential Graph (k < 0) part of Merlot Math Pedagogic Collection:Interactive Lectures:Examples
This classroom activity presents College Algebra students with a ConcepTest and a Question of the Day activity concerning the effect of the proportionality constant, k, on the y-intercept and position of an ...

Effect of Proportionality Constant on Exponential Graph (k>0) part of Merlot Math Pedagogic Collection:Interactive Lectures:Examples
This classroom activity presents College Algebra students with a ConcepTest and a Question of the Day activity concerning the effect of the proportionality constant, k, on the y-intercept and position of an ...

Effect of Initial Value on Graph of Exponential Function (C < 0) part of Merlot Math Pedagogic Collection:Interactive Lectures:Examples
This classroom activity presents College Algebra students with a ConcepTest and a Question of the Day activity concerning the effect of the initial value, C, on the y-intercept and position of an exponential ...

Effect of Coefficient of x^2 on Parabola Shape part of Merlot Math Pedagogic Collection:Interactive Lectures:Examples
This classroom activity presents College Algebra students with a ConcepTest, a Question of the Day, and a Write-pair-share activity concerning the effect of the coefficient of x^2 on the shape of a parabola where b ...

Effect of Coefficient of x^2 on Parabola Vertex (a>0) part of Merlot Math Pedagogic Collection:Interactive Lectures:Examples
This classroom activity presents College Algebra students with a ConcepTest, a Question of the Day, and a Write-pair-share activity concerning the effect of the coefficient of x^2 on the vertex of a parabola where ...

Effect of Coefficient of x^0 on Parabola Vertex part of Merlot Math Pedagogic Collection:Interactive Lectures:Examples
This classroom activity presents College Algebra students with a ConcepTest, a Question of the Day, and a Write-pair-share activity concerning the effect of the coefficient of x^0 (i.e., the constant, c) on the ...

Effect of Initial Value on Graph of Exponential Function (C>0) part of Merlot Math Pedagogic Collection:Interactive Lectures:Examples
This classroom activity presents College Algebra students with a ConcepTest and a Question of the Day activity concerning the effect of the initial value, C, on the y-intercept and position of an exponential ...

Effect of Coefficient of x on Parabola Vertex (b < 0) part of Merlot Math Pedagogic Collection:Interactive Lectures:Examples
This classroom activity presents College Algebra students with a ConcepTest, a Question of the Day, and a Write-pair-share activity concerning the effect of the coefficient of x on the vertex of a parabola where ...

Pythagorean Theorem Investigations part of Just in Time Teaching:Examples
Secondary Math Ed majors or Geometry students are directed to a Web site where they read through a rich and extensive collection of proofs of the Pythagorean Theorem, some accompanied by Java applets. Each student then selects two proofs to prepare to present to the class-a geometric proof and a visual proof-and writes a detailed outline of each proof. The student also indicates one additional proof that was of particular interest and the reason(s) for its selection.

U.S. Population Growth: What Does the Future Hold? part of Merlot Math Pedagogic Collection:Interactive Lectures:Examples
College Algebra or Liberal Arts math students are presented with a ConcepTest, a Question of the Day and a write-pair-share activity involving U.S. population growth. The results are quite revealing and show that ...

Symmetry and Tilings: An Exploration part of Just in Time Teaching:Examples
Students are directed to read through a Web-based tutorial on Symmetry and Tilings in the form of an short and colorful article entitled Tilings and Tesselations; afterwards, they answer several questions on tilings (tessellations), tiling terminology, types of symmetry (isometries), periodic tilings and Penrose tilings.

History of Pi and Buffon's Needle part of Just in Time Teaching:Examples
Students are directed to visit the MacTutor History of Mathematics Archive and read an extensive online article entitled History of Pi; in addition, they make use of an interactive simulation of Buffon's Needle experiment. Afterwards, they answer several questions on how mathematicians calculated approximations for the value of pi and on the formulas that they used; they also discuss and analyze Buffon's experiment.

Partial Derivatives: Geometric Visualization part of Merlot Math Pedagogic Collection:Interactive Lectures:Examples
This write-pair-share activity presents Calculus III students with a worksheet containing several exercises that require them to find partial derivatives of functions of two variables. Afterwards, a series of ...

Riemann Sums and Area Approximations part of Merlot Math Pedagogic Collection:Interactive Lectures:Examples
After covering the standard course material on area under a curve, Riemann sums and numerical integration, Calculus I students are given a write-pair-share activity that directs them to predict the best area ...

Mathematical Curve Conjectures part of Merlot Math Pedagogic Collection:Interactive Lectures:Examples
In this activity, a six-foot length of nylon rope is suspended at both ends to model a mathematical curve known as the hyperbolic cosine. In a write-pair-share activity, students are asked to make a conjecture ...

Volumes of Solids of Revolution part of Merlot Math Pedagogic Collection:Interactive Lectures:Examples
This write-pair-share activity presents Calculus II students with a worksheet containing several exercises that require them to find the volume of solids of revolution using disk, washer and shell methods and to ...

The Crusty Loaf of Bread: An Exploration of Area of a Surface of Revolution part of Merlot Math Pedagogic Collection:Interactive Lectures:Examples
This write-pair-share activity for Calculus II students involves a hypothetical hemispherical loaf of bread with a 12-inch diameter that has been sliced into twelve one-inch-thick slices. The objective is to ...

How Much Work is Required: Intuition vs. Mathematical Calculation part of Merlot Math Pedagogic Collection:Interactive Lectures:Examples
This classroom activity presents Calculus II students with some Flash tutorials involving work and pumping liquids and a simple question concerning the amount of work involved in pumping water out of two full ...