One of the purposes of the blog is to provide a medium through which you might express your concerns, anxieties, and triumphs, free from the time pressure of our 55-minute slot. After ample time for reflection, you may find questions or understandings crystallizing in a manner that they often would not do during class.
We are now well under way in our opening foray into calculus. I am interested to hear how you have been coming to grips with limits and our four-fold analysis of them. Please respond to the following prompts but also feel free to add other thoughts that may be of help or interest to your classmates.
In regard to limits:
With what ideas, if any, have you been struggling? Describe any confusion and how you have been making sense of it.
Which representation most appeals to your understanding, numerical, graphical, or analytical? Explain.
Share any "Aha!" that you have had or connections that you have made with your previous mathematical understanding.
Ask a question, if you have one, about something for which you still need clarification.
Please comment before Tuesday's class.
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3 comments:
The limits assignments seem pretty easy. If anything, the part that makes me nervous is remembering the shapes of the basic functions that we're finding limits for. I really like the structure of the class since we've started working with limits a lot more than I did in the first few days of class. Overall I'm feeling good about the class and our own capabilities as students.
Rachel,
Sorry about those first few days, but I wanted you to have some vision as to why we might want to explore limits to begin with. We will be returning to the types of questions with which we began the year, but next time we will come at them with a larger, more powerful arsenal.
Hope things stay easy without getting too boring.
So first off I would like to start off with a sorry for not replying sooner.
I am with Rachel as far as I haven't really felt like anything has been going over my head.
With what ideas, if any, have you been struggling? Describe any confusion and how you have been making sense of it. It seems the numerical approach has appealed to my mathematic understanding because numbers just seem to be so concrete. Although I do think the limit rules have saved my life, i really like using them, it makes things a lot easier.
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