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26 February 2001 Vol. 6, No. 9 THE MATH FORUM INTERNET NEWS Visible Structures in Number Theory - Borwein & Jörgenson Teacher Time Saver - Gallagher | All the King's Digits - Trotter VISIBLE STRUCTURES IN NUMBER THEORY - Peter Borwein & Loki Jörgenson http://www.cecm.sfu.ca/~loki/Papers/Numbers/ Real irrational constants, such as pi, e, and log(2), are composed of an unending string of digits in a specific but seemingly random order. As statistical methods and traditional analysis have revealed very little, it has been proposed that the natural visual capacities of human perception be employed to search for complex correlations in the numerical distributions. Topics include: - Introduction - In Pursuit of Patterns - In Support of Proof - The Structure of Numbers Binary Expansions Sequences of Polynomials Quasi-Rationals Complex Zeros - Conclusion Acknowledgements - References -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- TEACHER TIME SAVER - G. Gallagher http://member.aol.com/ggallag958/default.html/worksheet.html Teacher Time Saver is a resource for elementary educators and parents. Download shareware, freeware, clipart, and worksheets to use with students. Print out elementary level worksheets and coloring activities on the following mathematical topics: - problem solving - division - geometry - multiplication - rounding - place value - fractions Other pages that mathematics teachers might find useful are the award pages, including a variety of themes on citizenship, hard work, kindness, attendance, behavior, and homework, as well as a blank award. The Activity Card Archive includes a set of cards with language arts, social studies and mathematics questions that could be used at the elementary level. The mathematics topics rotate each day of the week: Monday - Number Study Tuesday - Measurement Wednesday - Geometry Thursday - Patterns and Algebra Friday - Probability and Graphing http://members.aol.com/A123836526/ActivityCard/archive.html The Shareware and Freeware page offers HyperCard teacher utility programs and student activities for Macintosh users: http://members.aol.com/ggallag958/default.html/share.html -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- ALL THE KING'S DIGITS - Terry Trotter http://mathforum.org/~terry/kings/ Challenge: Using each of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 once and only once, and the operations of +, -, x, ÷, sqrt (square root), cbrt (cube root), ^ (raise to a power), and ! (factorial), along with grouping symbols, write expressions for the counting number 100. This is a new addition to the K-12 Math Puzzles site, which also links to calculation tips, math problem sets, and math number and line puzzles. http://mathforum.org/k12/k12puzzles/ -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- CHECK OUT OUR WEB SITE: The Math Forum http://mathforum.org/ Ask Dr. Math http://mathforum.org/dr.math/ Problems of the Week http://mathforum.org/pow/ Mathematics Library http://mathforum.org/library/ Teacher2Teacher http://mathforum.org/t2t/ Discussion Groups http://mathforum.org/discussions/ Join the Math Forum http://mathforum.org/join.forum.html Send comments to the Math Forum Internet Newsletter editors _o \o_ __| \ / |__ o _ o/ \o/ __|- __/ \__/o \o | o/ o/__/ /\ /| | \ \ / \ / \ /o\ / \ / \ / | / \ / \ |

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