Context: This lesson plan is from a weekly communication recitation that accompanies M.I.T.’s Real Analysis (18.100C). This week students learn about continuity and compactness (Rudin pp. 85-93). The material is relatively easy, but students may have trouble with writing epsilon-delta proofs. This recitation occurs after students have written drafts for this proof-writing assignment. Authors: This recitation was suggested by Susan Ruff with refinements by Kyle Ormsby. The skit was suggested by Katrin Wehrheim, and was developed by Katrin, Susan Ruff, and Joel Lewis. The skit was converted to a handout by Kyle Ormsby. Communication objectives: Give and receive collegial peer

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Context: This lesson plan is from a weekly communication recitation that accompanies M.I.T.’s Real Analysis (18.100C). This week students learn about closed sets and compact spaces (Rudin pp. 34-38). Likely trouble spots for students at this point in the term include equivalent forms of compactness and how to prove TFAE theorems (“The following are equivalent:…”). Authors: The recitation was developed by Susan Ruff based on the article “The Science of Scientific Writing” by Gopen and Swan; the sample paragraphs were written by Joel B. Lewis. Communication objectives: Ordering information so explanations flow logically. Recitation Written on the board as students

Read more →Context: This lesson plan is from a weekly communication recitation that accompanies M.I.T.’s Real Analysis (18.100C). This plan is for the first recitation of the term. This week in lecture students learn about sets & fields and the real numbers (Rudin pp. 1-17). Likely trouble spots for students at this point in the term are absorbing many new definitions at once and expressing math concepts formally and rigorously. Authors: The lesson was developed primarily by Craig Desjardins and Joel B. Lewis and has been further refined by Kyle Ormsby. The commentary below is by Joel Lewis and Susan Ruff. Communication

Read more →M.I.T.’s communication-intensive offering of Real Analysis was created in the Fall of 2009 by Joel Lewis, Craig Desjardins, Susan Ruff, and Hans Christianson. It has been refined by subsequent recitation instructors: Todd Kemp, Mohammed Abouzaid, Peter Speh, and Kyle Ormsby. At M.I.T., Real Analysis is typically taken by sophomores and provides many students’ first exposure to proof writing. Lectures on real analysis are accompanied by a weekly recitation that focuses on various topics of mathematical writing. This end of term report from the first term describes the context and structure of the course and provides recommendations. In the report, the

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