21. ENC Online: ENC Features: Classroom Calendar: Golden Mean Day (Grades 7-12) fibonacci numbers and the Golden Section in Art, Architecture and Music It contains, in logical progression, a number of activities that students can http://www.enc.org/features/calendar/unit/0,1819,152,00.shtm

Skip Navigation You Are Here ENC Home ENC Features Classroom Calendar Search the Site More Options Don't lose access to ENC's web site! Beginning in August, goENC.com will showcase the best of ENC Online combined with useful new tools to save you time. Take action todaypurchase a school subscription through goENC.com Classroom Calendar By Category By Month ... Ask ENC Explore online lesson plans, student activities, and teacher learning tools. Find detailed information about thousands of materials for K-12 math and science. Read articles about inquiry, equity, and other key topics for educators and parents. Create your learning plan, read the standards, and find tips for getting grants. Golden Mean Day (Grades 7-12) August 13 Graphic: Ji Sun An There's Pi Day and Mole Day, so it seems only right that the Golden Mean should have its own day. The Golden Mean, or Golden Ratio, is 1.6180339 rounded off to eight digits, or approximately 1.618. That makes August 13the day that is 61.8 percent of way through the yeara fitting day to proclaim Golden Mean Day. (Of course, if you prefer to celebrate during the traditional school year, you could have students figure out what 61.8 percent of your school year would be, or 61.8 percent of a specific month.) The Golden Mean represents an aesthetically pleasing proportion of height to width: 1 to 1.618 . . . . Like pi, it's an irrational number. It's often represented by the Greek letter Phi.

22. ENC Online: ENC Features: ENC Focus: By Year: Increasing Your Mathematics And Sc Puzzles with answers involving the fibonacci numbers and a page with examples and exploring teaching methods, instructional activities, and assessment. http://www.enc.org/features/focus/archive/content/resources_v9n3/operations/

Skip Navigation You Are Here ENC Home ENC Features ENC Focus By Year ... Number and Operations Search the Site More Options Don't lose access to ENC's web site! Beginning in August, goENC.com will showcase the best of ENC Online combined with useful new tools to save you time. Take action todaypurchase a school subscription through goENC.com Classroom Calendar Digital Dozen ENC Focus ... Ask ENC Explore online lesson plans, student activities, and teacher learning tools. Find detailed information about thousands of materials for K-12 math and science. Read articles about inquiry, equity, and other key topics for educators and parents. Create your learning plan, read the standards, and find tips for getting grants. Number and Operations Date: Grade: Cost: ENC#: This resource package for grade 4 teachers, part of the EVERYDAY MATHEMATICS series, contains mathematics lessons that emphasize discussion, problem solving for everyday situations, and discovery with hands-on experiences. Topics include solving number sentences, organizing data, and developing an intuitive sense about three-dimensional objects. http://www.enc.org/resources/records/0,1240,012102,00.shtm

23. Math And Science Mentoring: Mentoring Archive For Math Grade Level: K-5 ways to teach the concept of probability to 3rd graders? fibonacci numbers (K5)What are fibonacci numbers and how are they used in the real world? http://www.sedl.org/scimast/mentoring/m-k5.html

How to Use this Resource Math Archives Science Archives Math Archives K-5 Post-Secondary Teaching Strategies Resources ... Data Analysis, Statistics, and Probability Mathematics and Science Online Mentoring Math Archives: Grade Level K-5 Questions related to this grade level are displayed below; select any title to view the response. You may choose a different topic or grade level from the menu at left or perform a keyword search 3rd Graders Converting Standard And Metric Length (K-5) We will be working on converting standard and metric length soon. What are some "creative ways" of teaching these concepts to third graders? 5th Graders: Finding Patterns, Using Graphs (K-5) I am doing a lesson on patterns, and I wanted my 5th grade students to find a pattern by comparing daylight hours verses nighttime hours using a graph and chart. I'm not quite sure how to introduce this project to my students. Any ideas? Ability Grouping Or Not (K-5) I am a first grade teacher. Has there been any studies done on teachers who group and teach students according to their math abilities? Does grouping help low learners or does it hinder their math learning? Is it better to work with small groups that have many different levels of math abilities? Activities For Family Math And Science Night (K-5) Can you give suggestions on math/science standards based activities on measurement that can be used at Family Math and Science Nights? (10-15 activities)

24. EducationGuardian.co.uk | Net Class | Number And Money Everything you wanted to know about fibonacci numbers and why they appear Great site for primary aged children with a number of fun activities in basic http://education.guardian.co.uk/netclass/schools/mathematics/links/0,5607,98408,

@import url(/external/styles/global/0,14250,,00.css); Skip to main content Read today's paper Sign in Register Go to: Guardian Unlimited home UK news World news Newsblog Archive search Arts Books Business EducationGuardian.co.uk Film Football Jobs MediaGuardian.co.uk Money The Observer Politics Science Shopping SocietyGuardian.co.uk Sport Talk Technology Travel Been there Audio Email services Special reports The Guardian The northerner The wrap Advertising guide Crossword Soulmates dating Headline service Syndication services Events / offers Help / contacts Feedback Information GNL press office Living our values Newsroom Reader Offers Style guide Travel offers TV listings Weather Web guides Working at GNL Guardian Weekly Money Observer Public Schools news Schools links Mathematics front Number and money About the numbers in today's date Fascinating resource about the numbers from 1-31. Ideal for ongoing investigative projects into numbers. Most suitable for age 7-10, although teachers will also find it fascinating. Addition and Multiplication Tables in Various Bases The site explains the practical usefulness of positional number systems as opposed to Roman numerals. Also, the manner in which arithmetic operations (addition and multiplication) are carried out in various bases is discussed. A Java applet is provided which shows multiplication and addition tables in a base of your choice. Ask Dr. Math

25. NTTI Lesson: I AM GOLDEN teach how to add every other digit to see if divisible by 11. MulticulturalActivities The fibonacci numbers are in Pascal s triangle, http://www.thirteen.org/edonline/nttidb/lessons/dn/golddn.html

I AM GOLDEN Grades 6 - 8 This lesson will familiarize students with patterns, the Fibonacci Sequence, and the Golden Ratio, and will show students the many places these occur. Students will have practical applications for using the calculator and making charts to extend patterns. "Math Vantage 103: Patterns and Sequences" Students will be able to: continue a pattern write the Fibonacci sequence list occurrences in nature of the Fibonacci sequence compute the Golden Ratio explore similar rectangles Per group of 4: film for one Polaroid picture rulers tape measures yard or meter sticks trundle wheels (if convenient) Per student paper and pencil calculator 3x5 index card 5x8 index card worksheet with similar rectangles worksheet on Fuller Per classroom Foam board rabbit toothpicks Polaroid Camera Poster of Fibonacci picture model or real pineapple daisies artichoke pinecones, columbine (the Colorado state flower) transparency of the generations of bees, credit cards like Value card, frequent miles, hotel chains rather than Visa or other charge cards football Optional Computer program "Geometer's Sketchpad" and spreadsheet (may be shown with transparencies instead!)

26. ATEC: Online Resources fibonacci numbers and Golden Section.Lucas numbers and Golden Section. Teaching Children Mathematics offers activities, lesson ideas, http://www.the-atec.org/resource.asp?subb=12

27. Mathematics Resources For Educators Frisbie Middle School activities for teaching 7th grade math. Six unit teambuilding The fibonacci numbers and Golden Section in Nature 1 http://falcon.jmu.edu/~ramseyil/math.htm

Internet School Library Media Center Mathematics Resources K-12 Welcome to the Internet School Library Media Center mathematics page. You will find mathematics history, organizations, puzzles and games, tutorials, lesson plans, math education and more on this page. Separate pages are devoted to geometry algebra calculus statistics . Be sure to preview all categories to find information you need since content will be distributed across different categories. You can search this site, use an index or sitemap Associations Journals Mathematics Education ... For Parents Associations National Council of Teachers of Mathematics (NCTM) American Mathematical Society Association of Mathematics Teacher Educators Mathematics Association of America ... [Back to Top] Journals American Journal of Mathematics Educational Studies in Mathematics; An International Journal Journal for Research in Mathematics Education (JRME) NCTM. Mathematics Teaching in the Middle School ... Practical Uses of Math and Science Home Page (PUMAS) From NASA. On-line journal of math and science examples for pre-college education. New York Journal of Mathematics Musings On-line journal based at St. Cloud State University; interested in mathematical

28. The Math Page This site includes lesson plans, activities, teaching tools, research aids, This web site is the Home Page for fibonacci numbers and the Golden Section. http://valdosta.edu/~skgrubbs/math.html

The Math Page Table of Contents Web Sites Featured Math Lessons Featured Mathematician - Escher Where and How Mathematicians Work ... Link to My Science Page These math topics and links are designed for grades 6 through 8. Susan Grubbs Please E-Mail Me! WEB SITES I hope you enjoy the sites! Math WEB SITES w/site information World of Escher World of Escher [web site]. (1995-2001). Retrieved July 10, 2001, from World Wide Web: http://www.worldofescher.com “M.C. Escher was a Dutch graphic artist, most recognized for spatial illusions, impossible buildings, repeating geometric patterns (tessellations), and him incredible techniques in woodcutting and lithography. M.C. Escher was born June 1898 and died March 1972. His work continues to fascinate both young and old across a broad spectrum of interests. M.C. Escher was a man studied and greatly appreciated by respected mathematicians, scientists and crystallographers yet he had no formal training in math or science. He was a humble man who considered himself neither an artist or mathematician. Intricate repeating patterns, mathematically complex structures, spatial perspectives all require a “second look”. “In Escher’s work what you see the first time is most certainly not all there is to see. We at the World of Escher are proud to be here to tell you stories, discuss M.C. Escher’s works, provide insight, and offer our high quality products promoting the intriguing work of Escher. If you already know of Escher and his work you'll have a great time just looking around, otherwise its time to get ready to explore a world as fascinating as the Internet; The World of Escher! Along with discussions on Escher we have also included ideas and readings regarding Professor Roger Penrose and his mathematically based puzzles.”

29. Cornell Math - Teacher Professional Development Day As teachers we often cite fibonacci numbers and the Golden Ratio as examples In this session we will look at some enrichment activities you can use with http://www.math.cornell.edu/Community/tpdd2005.html

Teacher Professional Development Day Thursday, March 24, 2005 deb37@cornell.edu Mathematics Workshops Workshop Locations Note: Workshops #9 and #16 are repeated in the afternoon. Workshop 10:00-11:30 AM 12:00-1:30 PM CANCELED Malott 207 CANCELED Duffield Museum Malott 224 Malott 207 Malott 230 Malott 406 Malott 203 Malott 203 Malott 224 Malott 205 Malott 205 Malott 206 Malott 206 Malott 406 CANCELED CANCELED Workshop #1: Students Talk About Math CANCELED Workshop #2: Good Questions for Deeper Learning of Mathematics Presenter: Maria Terrell Limit: 35 participants Workshop #3: What Is The Shape of Space? CANCELED Workshop #4: Mathematics in Kinematic Models Presenters: Daina Taimina Usually when we talk about using technology in teaching we think of 20th century developments like calculators and computers. In the 19th century, technology meant kinematic models. These mechanisms, designed based on mathematical ideas, were used in teaching and in numerous practical machines. (Ever think about drilling a square hole?) Now largely forgotten, Reuleaux mechanisms were widely used, especially in Germany, up until the Second World War. Most of the mechanisms in Europe were lost in the destruction of 1941-45. While some models survive in Germany and Japan, the Cornell Reuleaux Collection seems to be the largest remaining collection of these model-mechanisms. The first president of Cornell, A. D. White, acquired our models in 1882.

30. Dorothy Stasiewicz's CU With this in mind, this unit will concentrate on fibonacci numbers that are found in I may spread the activities throughout the year depending on the http://www.unm.edu/~abqteach/math_cus/01-03-10.htm

Return to Mathematics and Reality Index Page Mathematical Patterns: Fibonacci Numbers in Nature Dorothy Stasiewicz Academic Setting Truman Middle school is located at 9400 Benavidez Road in the southwest part of Albuquerque. It is predominantly Hispanic, at 80% of the student population. Approximately 4% are Native American, 4% African American, 10.6% Anglo, 0.5% Asian and 0.4% are of "other" backgrounds. The average for all middle schools in Albuquerque is 48.4% Hispanic and 41.6% Anglo. Many of our parents are working in low paying jobs and as a result, about ¾ of our student population receives free or reduced lunches provided by APS Food Services. Eligibility for free or reduced meals is based on family size and income. For example, a family of four with income less than $21,300 qualifies a student for free meals, and income between $21,300 and $30,400 qualifies the same size family for reduced meals. The percentage of these students is considered an indicator of socio-economic status. Test scores at Truman show that most of our students are four-five years below grade level. Even though we bring up the scores on the Terra Nova from 6

31. Mathematics Online revision activities for various strands in upper primary Maths. Students identify the pattern among the fibonacci numbers, look for applications http://www.primaryschool.com.au/mathematics-lessonsresults.php?strand=Number&uni

32. EDUCATION PLANET - 1162 Web Sites For Numbers The fibonacci numbers and Golden section in Nature 1 (cached) * - fibonacci Featured activities Kits. click here to buy from Education Planet Store http://www.educationplanet.com/search/Math/Numbers

Search 100,000+ top educational sites, lessons and more! Home Math Numbers Found 1162 ' Numbers ' Web Sites. Also for ' Numbers 2641 Lesson Plans 25 Books 2 Software Titles 3 Maps ... 6 Other Products Web Sites (1 - 10 of 1162): Cuneiform Numbers - see what numbers looked like in Mesopotamia. Cuneiform numbers were written using a combination of just two signs: a vertical wedge for '1' and a corner wedge for '10'. Handwriting varied as much in Old Babylonian times as it does now but the basic syst... Cache Report Link Problem Add Comment The 15 Most Famous Transcendental Numbers - I am in love with the mysterious transcendental numbers. Did you know that there are "more" transcendental numbers than the more familiar algebraic ones? Even so, only a few classes of transcendental numbers are known to humans, and it's very di... Cache Report Link Problem Add Comment Clever Games for Clever People - These games are all taken from: Conway, John. 1976. On Numbers and Games. New York: Academic Press, Inc. John Conway says in the preface to this book that he wrote it to tell about the realationships between two of his favorite subjects: theories of tra... Cache Report Link Problem Add Comment The Virtual Lottery Number Page - I work as an application developer and always enjoy learning new things. The purpose of this page is to learn JavaScript programming and web page design. My goal is to make this page powerful enough to generate lottery numbers for virtually any lottery...

33. The Standards Site: NLNS Guidance On Teaching Able Children Key points for teaching mathematics to able pupils. Short activities related to investigate palindromic numbers, fibonacci numbers, or the golden ratio. http://www.standards.dfes.gov.uk/numeracy/publications/inclusion/teaching_able_c

34. Math And Science Web Sites fibonacci numbers Enjoy activities with and learn about fibonacci numbers.Lucas numbers What are Lucas numbers and what can you do with them? http://www.ceap.wcu.edu/Houghton/Learner/Look/fulltext/more/morescimath.html

Math and Science Web Sites Section Editor, Updated 8/21/97 - Susan Mathews, Graduate student. New Categories! Interactive Science and Math Sites Lesson Plans for Science and Math This is an exceptionally comprehensive list of interactive Internet project-based lesson plans. Classroom Connect's Premier Web Sites for Science This link generates a fresh search of their database of premier educational resources on the subject of science. EduZone - "The Education Web Site" Developed by the Plymouth Public Schools in Vermont, the draft K-12 Science and Technology Curriculum includes detailed science lesson plans for specific grades. They are carefully outlined and thoroughly explained plans for science and math fairs (great selection of possible project topics and resource books.) In addition, the site offers highly rated links to websites covering math, science, reference material such as encyclopedias, literature, teacher resource, software, shareware and other educational resources. Eisenhower National Clearinghouse for Mathematics and Science The Eisenhower National Clearinghouse, a nationally recognized information source for K-12 mathematics and science teachers, produces many excellent resources for mathematics teachers. Especially useful home pages were the resource finder which provided links to many federal agencies and departments who offer

35. Making Connections The site contains current news regarding fibonacci numbers, Backgroundinformation, learning activities, answers, resources and extension activities are http://mconn.doe.state.la.us/search.php?task=search_st&parent=WS&misc=1,3,6

36. Mathematics Three online games will teach students how to make change, how to plan spending Come take a closer look at the fibonacci numbers, their properties and http://www.whps.org/IT/profdevelopment/Hotlinks/Math.htm

Mathematics Elementary Algebra Math Games Money ... http://www.sisweb.com/math/tables.htm Algebraic functions, geometry, calculus, and general math equations and formulas and conversion tables. The MacTutor History of Mathematics archive http://www-groups.dcs.st-and.ac.uk/~history/ a group of biographies of over 1000 mathematicians searchable by name, historical period, and country of origin Elementary Math APlus Math http://www.aplusmath.com create flash cards, online math games, create your own worksheets ADDING AND SUBTRACTING FRACTIONS: http://www.orchardproject.org/adding_and_subtracting_fractions.htm Find 10 word problems for students to learn and practice adding and subtracting fractions. Multiplication/Division http://kidsmath.about.com/kids/kidsmath/cs/multiplydivide/index.htm Learn all about multiplying and dividing with flashcards, worksheets, sample problems and more. Primary Sites For Math http://www.pbs.org/teachersource/math.htm Prime Numbers http://www.utm.edu/research/primes/ ... http://www.col-ed.org/cur/math/math52.txt Adapt this activity to your particular grade and ability level. ALL ABOUT RATIOS: http://math.rice.edu/~lanius/proportions/

37. Ideas And Activities fibonacci numbers and the Golden Section. fibonacci numbers and the Golden You ll also find more math activities and teaching tips categorized by age http://www.eggplant.org/tools/links/ideas.html

TOOLS PROJECTS LINKS IDEAS ... EMAIL Ideas And Activities About Today's Date. About Today's Date, based on Richard Phillips' book Numbers: Facts, Figures , and Fiction , provides on a daily basis the history and trivia about the numbers in today's date. Thise site is suitable for grades 5-12. Academic Assistance Center Home Page. The Teachers and staff of AOL's Academic Assistance Center provide link access to their favorite or best information sites for grades K-12. To visit the math room, click here a teacher and a student guide to mathematics to mathematics for grades K-12. AIMS Education Foundation. The Activities Integrating Mathematics and Science Education Foundation (AIMS) provides online activities and teacher resources for integrating math and science in the K-8 curriculum. Major links include an activity archive, ideas exchange, math history, puzzles, and places to visit. Algebra Review in Ten Lessons. Algebra Review in Ten Lessons, created by D. P. Story of the University of Akron, is a an online tutorial suitable for high school students taking a second course in algebra. Other D. P. Story's tutorials are WebTrig and e-Calculus for AP students. To view these tutorials, you must download Adobe's free

38. Mathematics Count Us In, Fifteen games designed to teach basic number concepts (K3) fibonacci numbers and the Pascal Triangle, Includes mathematician biographies, http://its.leesummit.k12.mo.us/mathematics.htm

Math General Geometry and Measurement Number Sense and Operations Geometry ... Calculators This page contains links to outside sources. The Lee's Summit R-7 School District is not responsible for any content housed/published on those sites. Apples for the Teacher Free math activities for a variety topics such as basic facts, geometry, money, measurement, and time (K-6) "An amusement park of math" which includes games, puzzles, brain benders, geometry, fractals (K-12) Bitesize Revision Practice with algebra, data handling, numbers, space, shape and measures (6-12) Fun Mathematics Lessons Rice University hosts math lessons which range from graphing to algebra to basic math and more (K-12) Go Math Algebra and Geometry Word Problem Solver; a new tool to enter word problems and see step-by-step solutions (6-12) Harcourt Math Advantage A ctivities listed by grade level (K-8) Illuminations Tools Tools which can be used to explore math and create interactive lessons (K-12) Interactive Games Create games or use from many pre-made games (K-8) Interactive Math Sites A ctivities categorized into subtopics (K-6) Interactive Resources Variety of resources including basic facts, geometry, tally marks, graphing, fractions, etc. (K-12)

39. Tessellations This book offers innovative activities for teaching tessellations and Escher An intriguing exploration of the mystery and magic of fibonacci numbers and http://www.pearsoned.ca/school/math/math/mr/tess/es/tesses.html

Tessellations Prices with a (*) denote Ontario PST applicable Tessellations Teaching Masters (Grades 6-12) Dale Seymour SE6-0-86651-462-7, 288 pp., $27.65 Use these activity sheets to create and analyse a variety of tessellations or as overhead transparency masters to explain properties and types of tessellations. a companion book to Introduction to Tessellations over 270 full-page tessellation drawings on blackline masters Tessellations Poster (Grades 6-8) SE6-0-86651-420-1, 22" x 34", $13.05* This poster displays a wide variety of tessellations in full colour. accompanying booklet suggests student explorations Tessellating Pop-Up Sponges (Not shown) SE6-0-201-68611-2, 6 sheets, $26.60* Students design tessellating shapes, then cut them out for sponge-printing activities. 1/16 thick compressed sponge expands to 5/8 when wet use with Teaching Tessellating Art each sponge 8.5 x 11 Tessellations Using Logo (Grade 7 and Up, Gifted) Margaret J. Kenny and Stanley J. Bezuszka SE6-0-86651-355-8, 96 pp., $16.60 Shows how to use Terrapin Logo as a tool for sketching simple and complex tessellations. Includes:

40. Search Quick Links Regional Conferences Annual Meetings Speak At 488, activities and Resources for Teaching Mathematics through Problem Solving 682, Fascinating fibonacci numbers Mystery, Magic, and Place in the http://poweredge.nctm.org/convention/weblinks2.asp?eventid=30&day=4/11/2003

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