Continuous Everywhere but Differentiable Nowhere
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Sameer Shah  
Blog by a high school math teacher in Brooklyn (NY), beginning shortly before teacher training and orientation, upon realizing that the textbook "completely limits me as a teacher and as a creative person" and who subsequently sets out to "design clear, relevant, atleastsomewhatinvestigatory problems which we spend class time on each week." Seven posts later, Shah reflected, "My initial posting with regards to veering away from the textbook is just not going to happen.... I am going to be the king of 'beg, borrow, and steal.'" Posts  which date back to August, 2007, many with classroom resources embedded via Scribd, some authored by guest bloggers  have included "The Vicious Cycle of Teaching," "Honing intuition is hard work (but worth it)," "Videotaping your class," "Open Math Problem: Bloxorz," "Advice for using an online math textbook," "Reprise on Integration," "My Exponential Function Unit," "Bright Student Doesn't Do Homework," "Silent Teaching," "The MV Calculus Final Projects," "Using a Cannon to Kill a Fly," "Quarter II on SBG (Standards Based Grading)," "Piecewise Functions Worksheet," "Part II of a selfinflicted challenge: The Line of Best Fit," "Fundamental Theorem of Calculus," "Participation Quizzes," "Make it Better: Drawing with GeoGebra," "How I Grade Tests to Mine Learning Data [quickly]," "Frankensongs and Frankenfunctions: Using Mashups to Teach PiecewiseDefined Functions," "MV Calculus Projects 20102011," "Optimization: An Introductory Activity & Project," "Advice from Calculus Students Past, Informing the Calculus Student Present," "Counting Without Counting: An Introduction," "Families of Curves," and "An important question: how do you plan?" See also Shah's teaching portfolio.  


Levels:  High School (912) 
Languages:  English 
Resource Types:  Lesson Plans and Activities, Problems/Puzzles, WebBased Discussions 
Math Topics:  Calculus (Single Variable), Calculus (Multivariable), PreCalculus 
Math Ed Topics:  MaterialsReviews/Recommendations, Activities, Specific Math Concepts/Techniques, Teaching Styles/Practices, Technology in Math Ed 
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