By Brian Hopkins
This ebook collects the paintings of 35 teachers who percentage their ideas and insights approximately instructing discrete arithmetic. even if you train on the university or highschool point; no matter if your scholars are from arithmetic, computing device technology, or engineering; no matter if you emphasize common sense, evidence, counting, graph concept, or purposes, you'll find assets during this publication to complement your discrete arithmetic course.
19 classroom-tested tasks, 11 background modules drawing on unique resources, and 5 articles tackle quite a lot of subject matters reflecting the breadth of content material and viewers in a variety of discrete arithmetic classes. A sampling of themes contains construction a geodesic dome, operating with excerpts of Pascal’s “Treatise at the Arithmetical Triangle,” utilizing discrete arithmetic to biology and chemistry, and utilizing good judgment in encouraging scholars to build proofs.
Table of Contents
I. Classroom-tested Projects
II. ancient initiatives in Discrete arithmetic and desktop Science
III. Articles Extending Discrete arithmetic Content
IV. Articles on Discrete arithmetic Pedagogy
About the Editor
About the Editor
Brian Hopkins bought his BS in arithmetic and a BA in philosophy from the college of Texas in 1990, and earned his PhD in arithmetic from the college of Washington in 1997. He teaches at Saint Peter’s university, a Jesuit liberal arts establishment in Jersey urban, the place he has led numerous undergraduate learn initiatives and has been the recipient of the Varrichio Award for educating Excellence (awarded through the SPC Pi Mu Epsilon bankruptcy) twice, in 2004 and 2007. Brian is the writer, with Carl Swenson, of having all started with the TI-92 in Calculus (1998, John Wiley & Sons). additionally, he has released numerous study articles in combinatorics and, with Robin J. Wilson, gained the MAA’s 2005 George Pólya Award for great expository writing within the collage arithmetic magazine for “The fact approximately Königsberg.” Brian works with secondary university academics in expert improvement tasks with a variety of organisations together with the Institute for complex Study’s Park urban arithmetic Institute, the Northwest Math interplay, the recent Jersey specialist improvement and Outreach workforce, the Institute for brand spanking new Jersey arithmetic lecturers, and the Pikes height Math instructor Circle Academy. he's a member of the Mathematical organization of the United States, the yankee Mathematical Society, the nationwide Council of lecturers of arithmetic, and the nationwide organization of Recording Arts and Sciences. Brian performs piano, sings with Cantori big apple, and enjoys ny urban together with his companion Michael.
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Extra resources for Resources for Teaching Discrete Mathematics: Classroom Projects, History Modules, and Articles
A) b) A B •b a • • d D c • C A B • d D • •b c a • C Figure 7 5. The decision tree appears in Figure 8. Because an initial horizontal or vertical division of the square into two rectangles is rotationally equivalent, we identify the first action by the notation h v. From solution 4, there exists at least one line segment that extends from one edge of the board to the opposite edge. There can be 3, 2, or 1 such parallel line segments.
Resources for Teaching Discrete Mathematics: Classroom Projects, History Modules, and Articles by Brian Hopkins