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For many high school students, it's the Mt. Everest of high school courses, the pinnacle of curricular attainment. "My daughter's taking Calculus! " is a phrase that's meant to impress listeners and raise parental status. Calculus is so evidently a college course. Well, maybe not.
As for the hard part, well, sure, calculus involves sophisticated ideas—about how the world changes, how we measure that change, and how we use those measurements to guide our existence. But many high school students don't experience calculus this way. Don't blame the teacher, at least mostly. But not all students are ready to learn the sophisticated version of calculus, and when most students in class are not, the impoverished, procedural version of Calculus is the one that gets taught.
I'm not the first to say this, not by a long shot. Yet with all the admonitions, high school Calculus has exploded in the past 20 years. There are powerful forces promoting that rush. Math 1a, Spring 2011, Functions and Calculus, Harvard College/GSAS: 8434. Untitled. Bylsma's Beat - AP Calculus 3D Modeling. Calculus Final Project Spotlight: 3D Solid Modeling. **The next few posts are going to be spotlights of final projects that students did that I thought were cool or interesting and then a few reflections on doing final projects in general.
I could picture doing a lot of my student’s projects as a whole class! ** If I had one more week in my non-AP Calculus class, we would study volumes of revolution. That’s probably the biggest weakness of my course right now, and I am trying to figure out a way to include that next year. A junior who is in my regular class and is taking AP next year was a bit lost when coming up with an idea, so he asked me for a topic that we do in AP but did not do in our class so he could be a bit prepared. Here’s how it works… 1. 2. 3. After I saw the success of this project, I suggested the same one to a few students in my AP class (who were required to do a much more low key, shorter version of a final project because of time restraints).
Like this: Like Loading... "calculus" 3D Models to Print - yeggi. Jim Belk - Writing. Jim BelkBard College Home | Teaching | Research | Talks | Writing | Code | Schedule Writing This page is an archive of things I have written that are unrelated to my research.
Many of these were written as notes for classes that I have taught, and also appear on the corresponding course webpages. All of these notes are in PDF format. See my research page for a list of my formal research papers and preprints. Science Problems for Calculus I I tend to include a lot of science-based problems—especially related rates problems—in my Calculus classes. Sequences & Series Notes These notes were written for a Calculus II unit on sequences and series. Topology & Analysis Notes I have written up extensive notes on a few subjects relating to point-set topology and analysis. First, here are some notes on function spaces and the product and box topologies. Function Spaces (Product and Box Topologies) I also wrote a large number of notes when I taught a second-semester Real Analysis course: