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Elementary proof
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81	DRAFT. Do not copy or quote without permission[removed]Proof in the Elementary Grades Deborah Schifter12 The mathematics classroom is the preeminent context in which students can learn to rely on their own powers of rea Add to Reading List Source URL: www2.edc.org Language: English - Date: 2006-04-20 15:16:03 Mathematical logic Knowledge Elementary arithmetic Education reform Mathematical proof Investigations in Numbers Data and Space Parity Emmy Noether Mathematics Mathematics education Education
82	2010 U OF I MOCK PUTNAM EXAM 1. (a) Given a set with n elements (where n is a positive integer), prove that exactly 2n−1 of its subsets have an odd number of elements. (b) Determine, with proof, the number of 8 by 8 ma Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2010-10-02 19:22:10 Elementary number theory Complex analysis Pi Real number Integer Decimal representation Number Parity Factorial Mathematics Abstract algebra Elementary mathematics
83	2011 U OF I FRESHMAN MATH CONTEST 1. Let x = 0.[removed][removed]be the number whose decimal expansion consists of the sequence of natural numbers written next to each other. (a) Determine the 2011th digit after th Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2011-10-02 10:35:20 Arithmetic Least common multiple Mathematical proof Pi Pythagorean triple Binomial coefficient Mathematics Elementary arithmetic Number theory
84	“Toposes as higher-order theories” prof. Peter Johnstone University of Cambridge Abstract The elementary reformulation of topos theory by Lawvere and Add to Reading List Source URL: www.dmi.unisa.it Language: English - Date: 2010-04-20 04:57:15 Mathematical constructivism Epistemology William Lawvere Mathematical logic Alexander Grothendieck Elementary definition Intuitionism Categorical logic Proof theory Mathematics Sheaf theory Topos
85	2011 U OF I UNDERGRAD MATH CONTEST 1. Given distinct points a1 < a2 < Pa3 < · · · < a100 on the real line, determine, with proof, the exact set of real numbers x for which the sum 100 i=1 \|x − ai \| takes its minimal Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2011-03-11 18:02:38 Mathematical notation Sequence Number theory Summation Integer Pi Liouville number Thue–Morse sequence Mathematics Abstract algebra Elementary mathematics
86	Microsoft Word - Mathematics-FINAL.doc Add to Reading List Source URL: www.wvfa.org Language: English - Date: 2009-07-21 10:46:43 Knowledge Mathematical modeling Mathematical logic Mathematical proof Analysis Mathematical model Mathematical manipulative Modern elementary mathematics Mathematics Mathematics education Education
87	Microsoft Word - Mathematics-FINAL.doc Add to Reading List Source URL: www.wvfa.org Language: English - Date: 2009-07-21 10:46:38 0.999... One Algorithm 24 Game Mathematical proof Number Fraction Analysis Mathematics Mathematical logic Elementary arithmetic
88	W. H. YOUNG THE MATHEMATICAL METHOD AND ITS LIMITATIONS Add to Reading List Source URL: www.mathunion.org Language: English - Date: 2012-04-18 10:10:43 Elementary mathematics Mathematical proof Analogy Scientific method Function Mathematical logic Number The Unreasonable Effectiveness of Mathematics in the Natural Sciences Mathematics Philosophy of mathematics Cognitive science
89	Notes by David Groisser, Copyright c 1993, revised version[removed]Peano Axioms for the Natural Numbers Add to Reading List Source URL: www.math.ufl.edu Language: English - Date: 2001-09-06 10:32:21 Elementary mathematics Mathematical proofs Proof theory Formal systems Peano axioms Mathematical induction Number system Axiom Natural number Mathematics Mathematical logic Logic
90	Mathematics and Mathematicians Mathematics, or math (sometimes also shortened as "maths"), is the study of numbers, shapes and patterns. Mathematicians are people whose job is to learn and discover such things in Add to Reading List Source URL: www2.ef.jcu.cz Language: English - Date: 2011-04-27 05:24:12 Mathematical logic Elementary mathematics Theorem Axiom Mathematical proof Number Algebra Mathematical problem Formalism Mathematics Logic Philosophy of mathematics

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