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Unformatted text preview: M316K Section 1.4 At the simplest level, a representation is a picture a picture of your image of a prob lem It can take many forms: diagrams, graphs, tables, sketches, equations, words, etc... One of the key ideas: most problems and most mathematical concepts can be represented in different ways Section 1.5 Standard 7: Reasoning and Proof (Principles and Standards: Recognize reasoning and proof as fundamental aspects of mathematics Make and investigate mathematical conjectures Develop and evaluate mathematical arguments and proofs (formal proofs in high school and children can construct informal proofs) Select and use various types of reasoning and methods of proof as appropriate Another maladaptive belief: Making sense of math is reserved only for the smart stu dents and for the rest, the best advice is just do it. Mathematical reasoning is often categorized as: Quantitative: using quantities (numbers) Qualitative: not using quantities (no numbers) More specific kinds of mathematical reasoning: numerical, proportional, algebraic, and...
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This note was uploaded on 02/21/2009 for the course M 316K taught by Professor Ermer during the Spring '09 term at University of Texas at Austin.
 Spring '09
 ERMER
 Equations

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