61. A Math Activity Book - A Mathematical Mystery Tour And Tour Guide A mathematics teaching, multiple intelligence Mystery Tour book centered on the This book (and supplement), based in large part on the fibonacci numbers http://www.markwahl.com/mathematical_mystery_tour.htm

A Mathematical Mystery Tour: Higher Thinking Math Tasks (Gr. 5-11) +Tour Guide Newspaper + the new Millennium Supplement Check out the Millennium Supplement , printed April 2001. It has another 22 power-packed pages that bring the Mystery Tour book into the 21st Century: mysterious numbers connected to fractals, the stock market, the musical scale and more!) This book (and supplement), based in large part on the Fibonacci Numbers and the golden ratio (golden mean) has grown to be somewhat of a math teaching classic and resource book in its sixteen years of existence. Three teachers recently offered these unsolicited endorsements: I teach a 6-7-8th grade gifted and talented class in Socorro, New Mexico. This book is fabulous! It is my full sixth grade curriculum! I branch from it to literature, writing, poetry, science and other subjects. I have never seen a book so student-friendly, and subject-inclusive. It pulls math concepts through all subject areas. Kim Berlat Three years after retirement (I taught middle school gifted kids in the "hood"), I still miss the classroom and our favorite teaching/learning experience...The

62. Fibonacci Numbers And The Golden Section Exploration of fibonacci numbers in Nature and the Arts Tips for Teaching.This resource is ideal for student reading and reports as well as assignments http://www.cfkeep.org/html/snapshot.php?id=36529625

63. TSM-4: Mathematics Resources On The Internet Includes mathematical puzzles, animations, articles and teaching resources.fibonacci numbers and the Golden Section Here you can find out who fibonacci http://www.bham.ac.uk/ctimath/workshops/w-oundle.htm

TSM-4: Mathematics Resources on the Internet Day Conference for Teachers Monday 11 May 1998 Oundle School, Peterborough Introduction: Michelle Ashworth, CTI Mathematics This is a practical session to illustrate some of the ways in which the World Wide Web can be used as a resource for teachers and learners of mathematics. Browsing the Internet can be very time-consuming, so the following selection has been made to save time during this session. Many of the descriptions have been taken or modified from the documents themselves; some are lessons or interactive materials, others are mathematical tools. Many of these sites are listed in the CTI Mathematics information gateway . These represent resources of all kinds, including links to mathematical organisations and projects developing Web resources for teaching and learning in mathematics. Information about using the Internet for teaching mathematics CampusWorld How to Guide to mathematics CampusWorld is part of the BT Internet web site and provides help and support on how to use the service and the Internet in a variety of ways. This guide provides some ideas for mathematics teachers who wish to make use of this exciting medium. Selection of North American sites containing resources for teachers of mathematics Math Forum Internet Resource Collection for mathematics The Math Forum is a Centre for Math Education on the Internet funded by the National Science Foundation. The goal of Math Forum is to build a community that can be a center for teachers, students, researchers, parents, educators, citizens at all levels who have an interest in mathematics education. Includes links to a vast number of resources such as

64. SMClinks fibonacci numbers and Nature This page has two parts. The first looks at thefibonacci numbers and why they appear in various family trees and patterns http://www-maths.mcs.st-andrews.ac.uk/~smc/SMClinks.html

Other mathematical web sites The following sites include puzzle pages, resource sites for teachers, mathematical organisations, tricks and cartoons, fact pages, mathematical encyclopaedias - in fact anything that a mathematician, young or old, will find interesting! Click on a blue heading to link up with that site. They are listed alphabetically. Abacus - the art of counting with beads Lots of information on the abacus. Alphametic Page An alphametic is a peculiar type of mathematical puzzle, in which a set of words is written down in the form of an ordinary "long-hand" addition sum, and it is required that the letters of the alphabet be replaced with decimal digits so that the result is a valid arithmetic sum. Association of Teachers of Mathematics The official home page of the Association of Teachers of Mathematics. Bamdad's Math Comics Page This is a collection of some mathematics related comics and cartoons. BEATCALC: Beat the Calculator! A collection of over 150 tricks for quick calculating. Black Douglas Professional support in mathematics education for elementary and high school teachers and teacher trainers.

65. BUBL LINK: Mathematics Education Resource type directory; fibonacci numbers and the Golden Section A majoremphasis of the MAA is the teaching of mathematics at the college and http://bubl.ac.uk/link/m/mathematicseducation.htm

BUBL LINK Catalogue of Internet Resources Home Search Subject Menus Countries ... Z Mathematics education Titles Descriptions Blue Web'n Learning Sites Library Centre for Innovation in Mathematics Teaching Centre for Research in Mathematics Education Chance Database ... Zero in four dimensions Comments: bubl@bubl.ac.uk Blue Web'n Learning Sites Library Set of links to a large collection of activities, tutorials, lesson plans, projects and tools aimed at the educational sector. Broad subject categories include arts, business, English, foreign language, health and physical education, history and social studies, mathematics, science, technology, vocational education, education, and community interest. Author: Pacific Bell Subjects: art links, business education, education links, english as a second language, history education, language learning, mathematics education, school teaching, science education worldwide, technology education DeweyClass: Resource type: index Centre for Innovation in Mathematics Teaching The Centre, established in 1986, is a focus for research and curriculum development in mathematics teaching and learning with the unifying aim of enhancing mathematical progress in schools and colleges. Includes mathematics resources, puzzles, games, computer programs, inservice courses, a comparative study of Maths GCSE exams, and the IMA journal 'Teaching Mathematics and its Applications'. Author: Exeter University Subjects: mathematics education DeweyClass: Resource type: guides, software

66. MAT 142 Past Projects activities. Games for teaching mathematics (many many many different ones) fibonacci sequence in nature art;; DUI testing and statistics; Fractals http://glory.gc.maricopa.edu/~tfoley/classes/projects142.htm

Rules for the Final Project in MAT 142 Due: December 2 (Thursday) 1. There are no rules! The final project is on anything related to mathematics. Learn something that you are interested in learning, learn it any way that you want, and convey what you learned any way that you want. This is a generalized version of Multiple Intelligences that I have been involved with since the 1970's. If you choose to give an oral presentation, please notify me by November 30 or sooner. The following contains a partial list of what some have done in past semesters (some are from the 1970's!). Humor and creativity are most welcome! MAT 142: Some projects of the past Math History Reports on: Civilizations: Mayan, India, Egypt, Greece, Babylonian People (partial list): Pascal, Lewis Carroll, Kazinski (unabomber), Florence Nightingale, Napoleon, Descartes, Gauss, Nostradames, Galileo, Babbage, Turing, Noether, Hypatia, Archimedes, Euclid,Pythagoras, Newton, Plato, George Boole, Mary Boole (math psychologist), Ramanujan, + more... ACTING AS IF they were the person above (some with costumes of the century) and speaking in the first person about their life and their math accomplishments.

67. The MATHMAN the fibonacci numbers, and the Equal Tempered Chromatic Music Scale . The Math Program Don and Jerry s great way of teaching math loving it! http://www.shout.net/~mathman/

The above is a copy of Don's watercolor painting of The Nautilus shell; it is Don's logo. The shell is beautiful, its shape a mathematical curve, and can be obtained from Shell World, at seashellworld . Also see the equation for the shell making a spiral IES java applet making a Nautilus, Xah Lee's work on spirals (and other curves) and student work on the growth of the Nautilus (chapter 6), and comparing the Spirals of the Nautilus shell, the Fibonacci numbers, and the Equal Tempered Chromatic Music Scale WELCOME ! Refreshing insights into the learning and doing of some important mathematics, by young people (while doing lots of arithmetic, using many hands-on materials, science to math activities, and the non-trivial use of calculators and computers) for children, as well as adults. Don assumes only that a student can count. Try sample problems from Don's books by chapter! Don does best when you buy his books "Calculus By and For Young People (ages 7, yes 7 and up)" and "Calculus By and For Young People-Worksheets"

68. Mathematics WWW Virtual Library [FSU Math] o, fibonacci numbers and the Golden Section fibonacci sequence, Helpful forteaching and learning many different math and science concepts. http://www.math.fsu.edu/Virtual/index.php?f=4

69. Enrichment - Secondary School activity book includes teaching notes, reproducible student worksheets and An intriguing exploration of the mystery and magic of fibonacci numbers and http://www.pearsoned.ca/school/math/math/mr/enr/books/enrbooks.html

Titles for Enrichment Seconday Level Reading, Writing, and Doing Mathematical Proofs Daniel Solow (Grades 10-12) SS6-0-86651-148-2, 288 PP, $29.10 The little insights and ideas we all so laboriously discovered for ourselves come together in this carefully-structured, systematic book about mathematical proofs. Once students understand and analyze the structure of proofs, theyll be able to follow the more informal versions in texts and learn to create their own. two workbooks tailored to the high school curriculum short, easy-to-follow lessons followed by exercise sets with solutions Number Treasury Stanley Bezuszka and Margaret Kenney (Grades 7-12) SS6-0-86651-078-8, 208 pp., $29.10 This resource offers an extensive source of information about number patterns, classical and modern. covers prime and composite numbers, plane and figurate numbers, digital patterns, and more solutions included Math Space Mission Regional Math Network Kay Merseth, Director (Grades 7-9) SS6-0-86651-439-2, 256 pp., $33.45 Students explore the outer realms of our solar system and learn estimation, geometry, and problem solving with this four-module, spiral-bound kit. activity book includes teaching notes, reproducible student worksheets and problem cards, answers, and more

70. PRIMARY OSMOSIS 24 Braund M. (2001) Primary Plants A handbook for teaching plant science in theprimary school Questions Publishing fibonacci numbers in Nature http://www-saps.plantsci.cam.ac.uk/osmos/os24_prim.htm

Select item below Osmosis 24 PRIMARY Download OSMOSIS 24 Primary PDF (165KB) OSMOSIS Browsing the Journals Curriculum Support ... Broaden your Horizons OSMOSIS 24 SPRING 2003 (PRIMARY) Contents Green fingered mathematics How tall are you in leaves? - Teacher page How tall are you in leaves? - Pupil's page Update on the SAPS website ... A glimpse into . . . A key for identifying British trees and shrubs Green fingered mathematics There has always been a close link between plants and mathematics. The simple counting of petals can reveal the number sequence that was identified by Fibonacci: lilies have 3 petals, buttercups 5, delphiniums 8 and ragwort 13 onto michaelmas daisies and sunflowers with 34, or even 55 petals. Similar patterns can be seen in seed heads (sunflowers) and tree branches. OSMOSIS 20, 2001 ). Another idea would be to make daily recordings of the growth of a fast plant (rapid cycling brassicas). Here we describe an activity (How tall are you in leaves?) that can be used as an example of making non-standard measurements and hence illustrating the importance of using standard measurements. This is part of the new Green Fingered Mathematics workshop that has been developed for primary teachers (

71. Useful Links - Key Stage Relevance - Association Of Teachers Of Mathematics A collection of educational resources, activities, lesson plans and student A good source of background material based on the fibonacci number series http://www.atm.org.uk/links/keystagelinks.html

Useful Links - Key Stage Relevance We have collected, and continue to collect links to other useful websites. It is a tedious job checking they are still live links. If you find any that are dead or that are wrong, please email the Web Editor Links on this page have been categorised into Key Stage relevance. Please do not treat this rigidly - there have been things from a Foundation link used at KS5 and things from a KS5 link used in KS1. The key is to use your imagination. With thanks to Andy Tynemouth of Devon Curriculum Services for permission to use this set of links. Page Index Foundation Key Stage 1 Key Stage 2 Key Stage 3 ... Key Stage 5 Foundation About Mathmagic A project set up to provide motivating resources for mathematics problem-solving. Schools can pair up with others to share their investigations. Particularly useful for small schools. A rich source of ideas for the classroom. Stories A whole range of stories with a mathematical slant. Great starting points for investigations and discussions. Math - Elementary A set of mini-lesson plans for teachers to use to support their teaching and enrich their planning.

72. Calculator Workbooks - Fraction Calculator Changing Units, The fibonacci Sequence, Changing Fractions to Decimals, Full of activities to use in initial teaching and reinforcement of http://www.eaiusa.com/mo__calculator__workbooks__fraction.htm

Casio Calculators TI Calculators Sharp Calculators Calculator ... A-Z List Fraction Calculator Resource Workbooks Discovering Mathematics with a Fraction Calculator by Frederick W. Stevenson This book discovers fraction in the following topics: Prime Factors Reducing Fractions, Greatest Common Factors and Least Common Multiples, Repeating Operations: Functions, Repeating Operations Approximations, Number Curiosities, (Non-Whole) Number Curiosities, Calculation Magic, Calculator Behavior, Changing Units, The Fibonacci Sequence, Changing Fractions to Decimals, Changing Decimals to Fractions, Changing to Numerator, Exponentiation with Remainders, Numbers in A Foreign Language, Length on a Geoboard, Area On and Off the Geoboard, Linear Diophantine Equations, The Euclidean Algorithm, Finite Continued Fractions, Infinite Continued Fractions, Regular Polygons and Continued Roots. (Paperbound, 71 pages). W-1035-SP Uncovering Mathematics with Manipulatives and Calculators (Grades K-2 and 2-6) by Jane F. Schielack and Dianh Chancellor

73. Ethnomathematics Digital Library (EDL) numbers and Computation Patterns and Sequences fibonacci Sequence Schools andteaching continue to be based on the idea that knowledge acquisition must http://www.ethnomath.org/search/browseResources.asp?type=subject&id=406

74. General Math - Patterns - Themepark Travel to the FunSchool and find math games and activities. People who likeFibonacci numbers are serious about those numbers and sometimes join the http://www.uen.org/themepark/patterns/generalmath.shtml

Tessellations General Math Fractions/Decimals Geometry ... Patterns General Math Mathematics can be said to be the science of patterns. These patterns can be real or imagined, visual or mental, static or dynamic, qualitative or quantitative. Mathematical patterns can be found everywherein the physical universe, in the living world, or even in our own minds. Sample some of the following activities to learn more about mathematics. Places To Go People To See Things To Do Teacher Resources ... Bibliography Places To Go The following are places to go (some real and some virtual) to find out about math WebMath http://school.discovery.com/homeworkhelp/webmath/ Visit the Discovery School and use their great WebMath section. You can choose from different math subjects and even enter your own math problem to find a step-by-step tutorial of how to solve that problem. SchoolHouse Rock http://disney.go.com/disneyvideos/preschool/schoolhouserock/index.html Spend time at this cyber schoolhouse and listen to the audio file of that catchy Multiplication Rock tune that used to be a part of Saturday morning television.

75. MastHead - Top Left Logo Image Faces In A Circle Student At Number Patterns Fun with Curves Topology, Provides links to activities that teach R Kids Math, A collection of online interactive math problems on http://www.amphi.com/teachers/psteffens/math.html

Your browser has JavaScript turned off. You will be able to view the contents of this web site if you turn JavaScript on. Open your browser preferences and enable JavaScript. You do not have to restart your browser or your computer after you enable JavaScript. Simply click the RELOAD button. Steffens's Educational Resources Greenleaf's Page Art and Music Language Resources Language Arts ... psteffens Math Resources 21st Century Problem Solving A collection of ideas and information to help students solve problems using examples from algebra, physics, and chemistry. A+ Math Games A variety of games to practice addition, subtraction, and multiplication skills. AAA Math Provides hundreds of pages of basic math skills with interactive practice, explanations of the math topic, challenge games and more. All Math Provides math activities, career information, glossary, resources, lesson plans and more. ArcyTech Educational Java Problems Outstanding interactive math manipulative activities. Ask Dr. Math Provides the ability for students to ask Dr. Math questions, a Problem of the Week, a Project of the Month, and archives of previously asked questions. Cool Math Provides lessons on functions, tessellations, limit, fractals, careers in math, and more. Provides links for general math, algebra, geometry, and precalculus.

76. Read This: Count Down After introducing the fibonacci numbers, Conrey invited the students to try to prove My students think this is the essence of good teaching, but my own http://www.maa.org/reviews/countdown.html

Search MAA Online MAA Home Read This! The MAA Online book review column Count Down: Six Kids Vie for Glory at the World's Toughest Math Competition by Steve Olsen Reviewed by Kathryn Weld In 1998, a room of approximately thirty teenagers listened to Brian Conrey give a lecture on elementary number theory lecture. First came a crash course in terminology and notation, including recursive definition and the definition and notation for "a divides b". After introducing the Fibonacci numbers, Conrey invited the students to try to prove that the 5th Fibonacci number divides every 5th Fibonacci number that comes afterwards. After a few minutes, a quiet voice said, "I think it can be generalized. I think F n divides F mn It was thirteen-year-old Tienkai Liu. As the story goes, Conrey began stalling for time, asking for ideas on how to prove it, and for examples. "But I can prove it!" replied Tienkai, and he marched up to the board and gave a beautiful proof. Tienkai Liu was one of the six high school students on the 2002 US International Mathematics Olympiad team. Count Down is the story of those six members and the problems they solved on that Olympiad. The book is as fascinating as the individuals themselves, who, in addition their passion for mathematics and problem solving, enjoy word games, music, politics, creative writing, and sports.

77. ThinkQuest : Library : Arithmetic fibonacci numbers are a different way of counting. This site is dedicated toteaching high school level math students the basics of the TI83 Graphing http://www.thinkquest.org/library/cat_show.html?cat_id=246

78. Field Trips Go Virtual, Education Up Close, Teaching Today, Glencoe Online Teaching Today provides busy secondary teachers with teaching tips, from SurreyUniversity provides a fascinating exploration of the fibonacci numbers, http://www.glencoe.com/sec/teachingtoday/educationupclose.phtml/33

Teaching Today publishes innovative teaching tips on a weekly basis. Written with the busy teacher in mind, each tip is concise, practical and easy to implement in the classroom right away. Topics covered in Teaching Today are classroom management, career development, high stakes testing, instruction and planning, parental involvement, reading in the content areas, using technology in the classroom, and portfolio development. Teaching Today also offers free weekly downloads that correspond to the tips. Our free downloads make implementing the teaching tips even easier. Teaching Today provides educational resources for teachers looking for everyday solutions to the challenges of the classroom. April 2003 Printer-friendly page E-Mail This Article Field Trips Go Virtual The virtual field trip has finally come of age, and if you haven't yet taken one with your students, now is the time. Whether you are studying the geology of the Galapagos Islands or learning about the Dead Sea Scrolls at the Library of Congress, there is bound to be a museum or organization that has set up a Web site that enhances your curriculum. In some cases, the exhibits have been long gone, but online visitors still have the opportunity to visit the exhibition on the Web.

79. Web Data Structures And Algorithms Algorithms for computing the fibonacci function (David Eppstein) fibonaccinumbers (mathematical properties) Teaching activities Homepage. http://cgm.cs.mcgill.ca/~godfried/teaching/algorithms-web.html

"Computer science is no more about computers than astronomy is about telescopes." E. W. Dijkstra Useful General Links Godfried Toussaint's Course Topics on the Web 251B - Course Pages Mike Hallet's web page (Luc Devroye's Class Notes) ... Algorithms Course at the University of Aberdeen Specific Course Material: 308-251A Chapter Index: The Complexity of Algorithms The Correctness of Algorithms Linear Data Structures Graphs ... Sequence Comparison 1. The Complexity of Algorithms: Models of Computation (Old and New) (1) Knotted Strings, the Abacus and other Models of Computation Gravity as a Computer: Computing the Centroid of a Polygon with a Plumbline Centers of Gravity of Polygons The Knotted String Computer Pythagoras' Theorem: Pythagoras' Theorem (An award winning proof and interactive Java applet demo) Animated Proof of the Pythagoream Theorem by M. D. Meyerson A Hinged Dissection Proof of the Pythagorean Theorem Other Dissection Proof s (with interactive Java applets) More than forty other proofs of the Pythagorean theorem The Converse of Pythagoras' Theorem The Abacus The Abacus in various number systems ... Links to History of Computing (2) The Straight Edge and Compass Francois Labelle's Tutorial on the Complexity of Ruler and Compass Constructions (with interactive Java applet) GRACE (A graphical ruler and compass editor) The straight-edge and compass Constructive geometry of the Greeks Geometric constructions Geometrography and the Lemoine simplicity of geometric constructions ... More Euclid on the Web Relative computing power of models of computation:

80. Links To Resources For Teaching Mathematics Collection of links to online mathematics education teaching materials. http//www.seds.org/billa/tnp/ ; The fibonacci numbers and Golden section in http://www.wiu.edu/users/mfjko/urls.htm

Western Illinois University Department of Mathematics Links To Resources for Teaching Mathematics Table of Contents Links not categorized Comprehensive programs Mathematics Education Technology ... Other Uncategorized links mostly from the NCTM News Bulletin The searchable Gateway to Educational Materials Union Catalog The Chalkboard High School Math Project Ideas Word Problems for Kids ... Search for education, K-12, teaching then choose Education, then K-12, then Teaching. New York University Mathematics in Biology The Mathematics TEKS (Texas Essential Knowledge and Skills) Famous Problems in the History of Mathematics. ... The Perfect Number Journey features discussions and lessons related to perfect numbers Math in Daily Life Education World: Where Educators Go to Learn: Comprehensive programs and materials for primary and secondary school students and teachers. Addison Wesley's HomePage Eisenhower National Clearinghouse DCL. InSITE: The Information network of SITE. ISBE Resources. ... Project Capetown - audio and video. Math Education Interesting links by Furman University Math.

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