![]() Here’s are some of the ways you can use WSP effectively with your own students: Web Sketchpad remains under active development, and we are eager to further develop and extend the lessons on the Forging Connections website (created with National Science Foundation support under IUSE award 1712280). leverages cognitive-science research (embodied cognition, concreteness fading).supports per-task tailoring of tools (creating instrumented fields of promoted action), and.encourages student agency (intuitive interface, self-documenting tools),.promotes the five practices ( WSP Viewer),.enables noticing and wondering (Construct a Rhombus, Which One Doesn’t Belong),.supports and reinforces good pedagogical practices even in virtual classrooms,.enables teachers and students to construct, investigate, collaborate, and prove in both virtual and in-person environments,.It provides exceptional support for good pedagogical processes. Teachers and students can use Web Sketchpad to construct, investigate, collaborate, and prove in both virtual and in-person environments. The finished dynamic figure is on page 1 page 2 is a blank page that you (and your students) can use to recreate the dynamic “proof without words” on page 1. The example below, created using the WSP Tool Library, demonstrates the Triangle Sum Theorem and suggests its proof. Particularly for transformational proofs, such figures can be clearer and more convincing in a dynamic environment that supports animating the transformation. Proofs Without Words is a series of books from the American Mathematical Society containing “figures or diagrams that help the reader see why a particular mathematical statement may be true and how one could begin to go about proving it.” Though the figures themselves are not technically proofs, they are elegant graphical illustrations of the important mathematical truths whose proofs they suggest. Take a look at both activities, and for each activity predict several things that students might say to explain why one is different from the other three. ![]() Next, let's compare two WODB student activities, one based on Cartesian graphs and one based on Dynagraphs. Since you already know that dilation corresponds to multiplication, and translation to addition, what kind of algebraic function is created by the composition `T(D(x))?` Source: This activity comes from the lesson Construct a Dynagraph.
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