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Geologic Puzzles: Morrison Formation part of Pedagogy in Action:Library:Interactive Lectures:Examples

Images of faulted strata, tilted turbidites, and beach rocks bring the field into the classroom, giving students practice in doing what geoscientists do. These images are examples of geologic puzzles.

Effect of Proportionality Constant on Exponential Graph (k>0) part of Pedagogy in Action:Library: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 exponential graph where k>0 and C is an arbitrarily fixed value in f(x)=Ce^(kx).

Effect of Initial Value on Graph of Exponential Function (C < 0) part of Pedagogy in Action:Library: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 function where C<0 and k is an arbitrarily fixed value in f(x)=Ce^(kx

Effect of Proportionality Constant on Exponential Graph (k < 0) part of Pedagogy in Action:Library: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 exponential graph where k<0 and C is an arbitrarily fixed value in f(x)=Ce^(kx).

Effect of Initial Value on Graph of Exponential Function (C>0) part of Pedagogy in Action:Library: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 function where C>0 and k is an arbitrarily fixed value in f(x)=Ce^(kx).

Effect of Coefficient of x^0 on Parabola Vertex part of Pedagogy in Action:Library: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 vertex of a parabola where a and b are arbitrarily fixed values in f(x)=ax^2+bx+c.

Effect of Coefficient of x^2 on Parabola Shape part of Pedagogy in Action:Library: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 and c are arbitrarily fixed values in f(x)=ax^2+bx+c.

Effect of Coefficient of x on Parabola Vertex (b < 0) part of Pedagogy in Action:Library: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 a>0, b<0 and a and c are fixed values in f(x)=ax^2+bx+c.

Think-Pair-Share Analysis of the Operation of a Metal Detector part of Pedagogy in Action:Library:Interactive Lectures:Examples

The activity presents a Think-Pair-Share analysis of a metal detector including a simulation.

Science on a Skateboard - Applications of Newton's Third Law part of Pedagogy in Action:Library:Interactive Lectures:Examples

A think, pair, share activity with Socratic questioning to help students begin to understand rocket propulsion.

The Crusty Loaf of Bread: An Exploration of Area of a Surface of Revolution part of Pedagogy in Action:Library: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 determine which slice contains the most upper crust (i.e., most area of its surface of revolution).

Volumes of Solids of Revolution part of Pedagogy in Action:Library: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 sketch three-dimensional representations of the resulting solids.

How Much Work is Required: Intuition vs. Mathematical Calculation part of Pedagogy in Action:Library: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 containers having the same shape and size but different spatial orientations.

Riemann Sums and Area Approximations part of Pedagogy in Action:Library: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 approximation methods for each of several different functions. Afterwards, the instructor employs a Web-based applet that visually displays each method and provides the corresponding numerical approximations.

U.S. Population Growth: What Does the Future Hold? part of Pedagogy in Action:Library: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 while students may have learned how to perform the necessary calculations, their conceptual understanding concerning exponential growth may remain faulty. Student knowledge (or lack thereof) of the size of our population and its annual growth rate may also be surprising.

Partial Derivatives: Geometric Visualization part of Pedagogy in Action:Library: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 Web-based animations are used to illustrate the surface of each function, the path of the indicated partial derivative for a specified value of the variable and the value of the derivative at each point along the path.

Mathematical Curve Conjectures part of Pedagogy in Action:Library: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 concerning the nature of the curve and then embark on a guided discovery in which they attempt to determine a precise mathematical description of the curve using function notation.