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4434Symmetry and Tilings: An Exploration
http://www.merlot.org/merlot/viewAssignment.htm?id=286257
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. In addition, they are given opportunity to use an interactive Java applet in which various types of symmetry can be sketched and explored in the form of wallpaper groups, frieze groups and rosette groups. In a subsequent think-pair-share activity or write-pair-share activity, they analyze some tilings and apply their newly obtained knowledge.Symmetry and Tilings: An Exploration
http://www.merlot.org/merlot/viewAssignment.htm?id=275868
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. In addition, they are given opportunity to use an interactive Java applet in which various types of symmetry can be sketched and explored in the form of wallpaper groups, frieze groups and rosette groups. In a subsequent think-pair-share activity or write-pair-share activity, they analyze some tilings and apply their newly obtained knowledge.History of Pi and Buffons Needle
http://www.merlot.org/merlot/viewAssignment.htm?id=275870
Students are directed to visit the MacTutor History of Mathematics Archive and to 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. In a subsequent class session, the instructor demonstrates a Java applet that simulates Buffon's Needle experiment in a cumulative manner. In a think-pair-share activity or write-pair-share activity, students analyze and discuss Buffon's experiment and its relationship to the value of pi.History of Pi and Buffons Needle
http://www.merlot.org/merlot/viewAssignment.htm?id=275871
Students are directed to visit the MacTutor History of Mathematics Archive and to 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. In a subsequent class session, the instructor demonstrates a Java applet that simulates Buffon's Needle experiment in a cumulative manner. In a think-pair-share activity or write-pair-share activity, students analyze and discuss Buffon's experiment and its relationship to the value of pi.History of Pi and Buffons Needle
http://www.merlot.org/merlot/viewAssignment.htm?id=275872
Students are directed to visit the MacTutor History of Mathematics Archive and to 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. In a subsequent class session, the instructor demonstrates a Java applet that simulates Buffon's Needle experiment in a cumulative manner. In a think-pair-share activity or write-pair-share activity, students analyze and discuss Buffon's experiment and its relationship to the value of pi.Pythagorean Theorem Investigations
http://www.merlot.org/merlot/viewAssignment.htm?id=275873
Secondary Math Ed majors or Geometry students are directed to a Web site that contains 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. In a subsequent class, students are selected to make their presentations, either individually or in teams; the number of presentations may be limited due to time constraints and can be selected by lottery or a similar system.U.S. Population Growth: What Does the Future Hold?
http://www.merlot.org/merlot/viewAssignment.htm?id=275874
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.U.S. Population Growth: What Does the Future Hold?
http://www.merlot.org/merlot/viewAssignment.htm?id=275875
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.Riemann Sums and Area Approximations
http://www.merlot.org/merlot/viewAssignment.htm?id=275877
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.Partial Derivatives: Geometric Visualization
http://www.merlot.org/merlot/viewAssignment.htm?id=262389
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.