PPT-What is Mathematical Conjecture?

Arash Rastegar Sharif University of Technology Advices to a problem solver 1 Writing neat and clean 2 Writing down the summary of arguments 3 Clarifying the logical structure 4 Drawing big and clean figures. Knowing Applying routine procedures in familiar contexts Paper Two an applications reasoning and reflecting paper that will consist of between fo ur and six longer questions By contrast to Paper 1 these questions will require more interpretation a 2-1 Inductive Reasoning and Conjecture. Real - Life. Vocabulary. Inductive Reasoning. - reasoning that uses a number of specific examples to arrive at your conclusion. Conjecture- . a concluding statement reached using inductive reasoning. Pearson . Pre-AP Unit 1. Topic . 2: Reasoning and Proof. 2-1. : . Patterns and Conjectures. Pearson Texas Geometry ©2016 . Holt Geometry Texas ©2007 . TEKS Focus:. (4)(C) Verify that a conjectures is false using a counterexample.. TOP FIVE. A conjecture is a proposition that is unproven but appears correct and has not been disproven. After demostrating the truth of a conjecture, this came to be considered a theorem and as such can be used to build other formal proofs.. polyhedra. ”. Instructor: Dr. Deza. Presenter: Erik Wang . Nov/2013. Agenda. Indentify the problem. The best upper bound. Summary. Identify the problem . Concepts - Diameter of graph. The “graph of a . Practice. Through Rich Tasks. Congruence and . Similarity. Presented by:. Jenny Ray, Mathematics Specialist. Kentucky Dept. of Education/NKCES. www.JennyRay.net. 1. The Common Core State Standards. . Presenter: . Hanh. Than. FLT video. http://www.youtube.com/watch?v=SVXB5zuZRcM. Pierre de Fermat. Pierre de Fermat. . (17 August 1601– 12 January 1665): . . a French lawyer and an amateur mathematician.. Alan Baker. Department of Philosophy. Swarthmore College. abaker1@swarthmore.edu. “Mathematical Aims Beyond Justification". “Mathematical Aims Beyond Justification". Focus 1: Explanation. “Mathematical Aims Beyond Justification". : What Every Middle and High School Teacher Should Know. Ben Sinwell, Pendleton High School. Ed Dickey, University of South Carolina. 2015 SCCTM Conference. Greenville SC. Mathematical Thinking. What is it?. 5. /1 to . 5. /5. Q4, Week . 7. Week. . 7. Conjecture. Extricate. Pragmatic. Voracious. CONJECTURE. Your argument is being ignored because it is basically nothing but . conjecture. !. CONJECTURE. Opinion based on incomplete information. Inductive Reasoning . When you use a pattern to find the next term in a sequence you’re using . inductive reasoning.. The conclusion you’ve made about the next terms in the pattern are called a . To form conjectures through inductive reasoning. To disprove a conjecture with a counterexample. To avoid fallacies of inductive reasoning. Example 1. You’re at school eating lunch. You ingest some air while eating, which causes you to belch. Afterward, you notice a number of students staring at you with disgust. You burp again, and looks of distaste greet your natural bodily function. You have similar experiences over the course of the next couple of days. Finally, you conclude that belching in public is socially unacceptable. The process that lead you to this conclusion is called. Keith J. Devlin. “Mathematics is the abstract key which turns the lock of the physical universe.” . Reuben . Hersh. “What Kind of a Thing is a Number?”. What is mathematics? It's neither physical nor mental, it's social. It's part of culture, it's part of history. It's like law, like religion, like money, like all those other things which are very real, but only as part of collective human consciousness. That's what math is. . Sec 6.1. x = 165°, definition of measure of an arc.. z = 84°, Chord Arcs Conj.. w = 70° Chord Central Angles Conj.. y = 96°, Chord Arcs Conj.. 8 cm, Chord Distance to Center Conj.. 20 cm, Perpendicular to a Chord Conj..