Prelim Syllabus MMW
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This document contains a list of topics for a mathematics preliminary examination (MMW). Topics include identifying patterns in nature, appreciating mathematics as a human endeavor, and expressing appreciation through the language of mathematics.
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1. Identify the patterns in nature and regularities in the world; 2. Articulate the importance of mathematics in one's life 3. Argue about the nature of mathematics, what it is, how it is expressed, represented, and used 4. Express appreciation for mathematics as a human endeavor 5. Dis...
1. Identify the patterns in nature and regularities in the world; 2. Articulate the importance of mathematics in one's life 3. Argue about the nature of mathematics, what it is, how it is expressed, represented, and used 4. Express appreciation for mathematics as a human endeavor 5. Discuss the language, symbols, and conventions of mathematics 6. Explain the nature of mathematics as a language 7. Perform operations on mathematical expressions correctly 8. Acknowledge that mathematics is a useful language 9. 9\. Use different types of reasoning to justify statements and arguments made about mathematics and mathematical concepts 10. Write clear and logical proofs 11. Solve problems involving patterns and recreational problems following Polya's four steps 12. Organize one's methods and approaches for proving and solving problems
