21. SEDL - Math And Science Online Mentoring: Search Results What are some extension/enrichment activities I can the most effective way to teach students place Patterns, Functions, and Algebra, fibonacci numbers What are http://www.sedl.org/cgi-bin/mysql/scimast-archives.cgi?camefrom=m&level=K-5

22. Unit 5 Education Links Resources to teach math LESSON PLANS Lesson Plans and activities Mathematics Lessons Fun with numbers Data Powers of Ten The fibonacci numbers Flash Cards http://www.unit5.org/links/mathlinks.htm

Administration Schools Parents Students ... Home Unit 5 Online Internet Gateway Secondary Gateway Elementary Gateway IMC Links ... Home Unit 5 Educational and Informational Links Math Curriculum Resources Ask Dr. Math Archive of math questions, searchable and arranged by grade level; you can also submit your own questions. Eisenhower National Clearinghouse Online Find journal articles, professional development sites, lessons, activities, and tales of classroom success. The Math Forum Home Page Their goal is to build an online community of teachers, students, researchers, parents, educators, and citizens at all levels who have an interest in math and math education. Mathematics WWW Virtual Library Addresses, bibliographies, electronic journals, general resources, math education, newsgroups, mathematical software index. Explorer The Explorer is a collection of educational resources (instructional software, lab activities, lesson plans, student created materials ...) for K-12 mathematics and science education. You may browse through mathematics and science education curricula or conduct searches that focus on specific interests. Frank Potter's Science Gems - Mathematics A useful, annotated list of math sites arranged by topic and grade level.

23. Marcin Paprzycki: CSS 350 Data Structures -- Day-to-day Activities definition of recursion factorial calculation as example of simple recursion fibonacci numbers (pros and cons of recursion) other examples of recursion http://www.cs.okstate.edu/~marcin/mp/teach/fall00/350/css350.html

CSS 350 DATA STRUCTURES Information about the timing functions Material covered: Part One (Overview of ANSI C) is to be done by the students (as necessary) Introduction to Recursion definition of recursion factorial calculation as example of simple recursion Fibonacci numbers (pros and cons of recursion) other examples of recursion Recursion examples Towers of Hanoi Generating permutations Applications of recursion in graphics Backtracking Algorithms Maze problem and backtracking Backtracking and the game of nim Backtracking and tic-tac-toe Generalized two-player games Minmax strategy for the game of nim Minmax strategies for two-player games Algorithm complexity analysis (and recursion) Selection sort and its complexity Doubling and splitting a quadratic Big O h notation Worst-cse and average-case complexity Big O definition Sorting by merging (merge sort) Complexity of merge sort Most important cases of complexity Quicksort Abstract Data Types Concept of an ADT Stack as an example of an ADT Other possible ADT's and their advantages and disadvantages Abstract Data Types and Efficiency Importnace of splitting "interface" and "implementation" Implementing an "editor" Array based implemtation Two-stack based implementation Linked list based implementation Symbol tables/Look-up tables Definition Array based implementation Array based sorted implentation Hashing fuction Efficiency of hashing C as a language not ready for ADT's

24. Teach-At-Home Links 14/2003) The relation between fibonacci numbers and Pascal triangle; Golden Section; Lucas numbers. activities. http://www.teach-at-home.com/Links.asp?whichpage=2&pagesize=30&sqlQuery=SELECT

25. Math And Science Web Sites teach.htm Bellingham School District s index to K12 teaching site links one to numerous fun math activities including fibonacci numbers, math magic 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

26. Archived: America Counts Mathematics Tutoring Roadmap - Tutoring Materials - 8th 8 and 9, contains performance activities on topics Designed to teach students how to approach and topics investigated are the fibonacci numbers, binary numbers http://www.ed.gov/inits/Math/roadmap/6/89/wp-activities.html

A r c h i v e d I n f o r m a t i o n 8 - 9 Problem Solving - Activities About teaching mathematics: K-8 (ENC-008504) The goal of this book is to help educators implement mathematics instruction that develops students who feel mathematically secure, use numbers confidently to come to decisions, understand mathematical principles, and can apply their understanding to problem solving situations. The three parts of the book address basic math education topics, 200 classroom problem solving activities, and the changing nature of mathematics instruction. Amazing facts and real problems (ENC-001290) These sets of cards are a collection of reading and mathematics experiences that challenge students to use mathematics to solve real life problems. Topics come from the physical and natural sciences; history, government, and geography; architecture; the fine arts; entertainment; and sports. There is a paragraph of information about each topic which is then followed by a challenge problem. To solve the problem, students must obtain data from the paragraph and decide upon a solution strategy. Critical thinking activities for mathematics. Book 3 (ENC-004351)

27. Archived: America Counts Mathematics Tutoring Roadmap - Tutoring Materials - 6th 6 and 7, contains performance activities on such Designed to teach students how to approach and topics investigated are the fibonacci numbers, binary numbers http://www.ed.gov/inits/Math/roadmap/6/67/wp-activities.html

A r c h i v e d I n f o r m a t i o n 6 - 7 Problem Solving - Activities About teaching mathematics: K-8 (ENC-008504) The goal of this book is to help educators implement mathematics instruction that develops students who feel mathematically secure, use numbers confidently to come to decisions, understand mathematical principles, and can apply their understanding to problem solving situations. The three parts of the book address basic math education topics, 200 classroom problem solving activities, and the changing nature of mathematics instruction. Amazing facts and real problems (ENC-001290) These sets of cards are a collection of reading and mathematics experiences that challenge students to use mathematics to solve real life problems. Topics come from the physical and natural sciences; history, government, and geography; architecture; the fine arts; entertainment; and sports. There is a paragraph of information about each topic which is then followed by a challenge problem. To solve the problem, students must obtain data from the paragraph and decide upon a solution strategy. Critical thinking activities for mathematics. Book 2 (ENC-004350)

28. Dr. Alice Christie's Math Stories In The Classroom Page teachNology Spreadsheets. Spreadsheet activities Good ideas including Timelines, Interview Forms, Simple fibonacci numbers and Nature fibonacci numbers can be http://www.west.asu.edu/achristie/CTC/math_stories.html

Community Technology Center 2004 Training Using Pictures to Tell Math Stories in Elementary School Classrooms Existing Data Interactive Teacher Samples Lesson Plans ... Search Tools Using Existing Data The Natural History Museum Dinosaur Data Files Math Forum's Exploring Data National Library of Virtual Manipulative's for Interactive Mathematics Math Forum's Data Sets ... Kathy Adkins' Data Library Interactive (May require a plug-in or applet) Data Picking Interactive data collection from BBC that provide students a game to test their knowledge of what is collected and make comparisons. A MUST use site! A Shopping Spree Activity A great interactive spreadsheet that takes you shopping to Walmart and Toys R Us. Can you spend $1,000.00? Climate Data Workbook An interactive charting workbook that lets you compare the climate of two U.S. cities. Illuminations Spreadsheet and Graphing Tool and Spreadsheet Tool MathsNet Interactive Spreadsheets Create a Graph What is the Average Height of Your Class?

29. The ILT's Math Links Digital Dozen teacher Lessons from teach.net A Xavier University. Math Lesson Plans, activities games The Pi Page fibonacci numbers and fibonacci and Nature. http://www.polaris.edu/Iltli/math.htm

The SAVVY Cyber Teacher . This course was offered on through the year 2003, thanks to the U.S. Department of Education Plans are underway to conduct customized training sessions. Our team can come to your site! Inquire about Savvy Cyber Training through Geoff Andrews Advanced, College Placement Newest Math Links The Math List! ... Problem Based Learning The ILT's Math Links Newest Math Links (Strike your "reload/refresh" button! We've changed!) PI Day Math Math Search: Swarthmore's Search for Dr. Math Interactive Powers of Ten PBL Mathlinks Too Cool to be without! Check out this Convert Application for PCs! Longitudinal/Latitudinal Conversions other conversions Cool Math Sites from Johns Hopkins Center for Technology In Education PI Day Links: Plan for March 14 each year, 3.14 PI Day ! MarcoPolo PI Day MarcoGram SOARWEB Media Show lesson on practical " Kitchen Math The National Council of Teachers of Mathematics The National Math Trail New Math Study: Does it Compute? The Relationship between Educational Technology and Student Acheivement in Mathematics Interactive Math Links New: National Council of Teachers of Mathematics Resource!

30. Ednewsletter-numeracy When using nature to teach maths, you will probably Fun the best way for the activities to make number is 8. Many leaves exhibit fibonacci numbers in their http://www.chelseaphysicgarden.co.uk/pages/education/teachersnewsletters/numerac

Chelsea Physic Garden Education Department Teachers' Newsletter: Numeracy in the Landscape January 2000 here You may well ask, "Nature and maths: where's the link?" A good question indeed. Thinking back to your early school days, when three apples were taken away from five, two remained. This is a simple example of how familiar objects can illustrate more abstract concepts - such as our number system, its language and symbols. If you then take that apple and cut it in half again and again, the idea of fractions is visibly (and edibly) demonstrated. The usefulness of the natural world as a mathematical tool doesn't end there. This newsletter looks at some of the other ways that nature and the Great Outdoors can help you to teach Hopefully, you will have access to some form of green space in which to teach mathematics. This can be as simple as a single tree, or a lawn. If you don't, then most of the ideas can be used in a classroom setting - with plants/leaves collected and/or with house plants and seedlings. When using nature to teach maths, you will probably find that the activities are cross-curricular in some way: overlapping with such subjects as ICT, science, English, geography, physics, art and history:- in the methods used, processes you observe, the conclusions you reach, vocabulary you use and the ways in which you represent and illustrate your findings.

31. MATH Websites Also great puzzles utilizing fibonacci numbers. Interesting foldedpaper, hands-on activities to teach constructed, Sums of Rows, Prime numbers, Hockey Stick http://www.tarleton.edu/~ksmith/MATHWEB.html

MATHEMATICS WEB SITES The sites found on this page have been compiled by those students enrolled in EDU 4303, EDU 5223, and EDU 5903 at Tarleton State University since January 2000. The students have provided the evaluations of each site. Science Websites Social Studies, Technology, and General Websites Home MATH SITES AAA MATH (http://aaamath.com) This user-friendly site contains math information for every elementary level. This is an interactive site that can be used by teachers, parents, and students. It is organized by topic and grade level. It has games, puzzles, and riddles. There are also links to other useful web sites. A HOMEPAGE FOR NEW MATH TEACHERS (http://people.clarityconnect.com/webpages/terri/terri.html) This is a site for new math teachers and it has ideas for classroom mangament, favorite math problems, and sites to go for multi-cultural activities. A+Math (http://www.aplusmath.com) Games, flash cards, and homework help for elementary students Algebra OnlineSM (http://www.algeb ra-online.com/) This description was taken directly from Algebra OnlineSM. Algebra OnlineSM is a free service designed to allow students, parents, and educators throughout the world to communicate. This includes free private tutoring, live chat, and a message board, among many other features. Questions and discussions relating to all levels of mathematics (not just Algebra) are welcome. Algebra OnlineSM is the future in education! ALLMATH (http://www.allmath.com)

32. MATHEMATICS WEB SITES Also great puzzles utilizing fibonacci numbers. for integers, understanding percent, number theory,circumference and foldedpaper, hands-on activities to teach http://www.tarleton.edu/~ksmith/MathWebsites.htm

MATHEMATICS WEBSITES The sites found on this page have been compiled by those students enrolled in EDU 4303, EDU 5223, and EDU 5903 at Tarleton State University since January 2000. The students have provided the evaluations of each site. Science Websites Social Studies, Technology, and General Websites Home Teacher Math Websites A HOMEPAGE FOR NEW MATH TEACHERS (http://people.clarityconnect.com/webpages/terri/terri.html) This is a site for new math teachers and it has ideas for classroom mangament, favorite math problems, and sites to go for multi-cultural activities. American Mathematical Society. (http://e-math.ams.org) The one I found has places to go and look at journal articles, places to look at lesson plans, and a lot of other cool info. about math. Bamdad's Math Comics (http://www.csun.edu/~hcmth014/comics.html) These comics strips are very funny and relevant to the classroom and real-life math problems that teachers and students alike will love, and there's tons of them on this site on about every math topic imaginable. The Bureau of Labor Statistics (http://www.bls.gov/k12/html/tch_mat1.htm)

33. Dorothy Stasiewicz's CU I teach math and science in an 88minute possibly even the knowledge that educational activities exist this unit will concentrate on fibonacci numbers that are 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

34. Database Math Math http//ecedweb.unomaha.edu/teach.ht Good Knott/fibonacci/fibn at.html fibonacci numbers and Nature. edu/~ecsife/home.shtml Economic activities forGrades K http://www.edu-cyberpg.com/Teachers/dbmath.html

var ecp_channel="Teachers" Back to A - Z DATABASE OF SUBJECT AREA RESOURCES Math Grammar Graphic Organizer Handwriting History ... Arts "As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality," said Einstein. He maintained that it should be possible to explain scientific principles in words to a child. Avoidance Strategies in Mathematics Office for Mathematics, Science and Technology Education The Office for Mathematics, Science, and Technology Education at the University of Illinois at Urbana-Champaign has an impressive collection of Java lessons and curriculum resources for learning about these topics. The office was established "to serve as a model-builder for innovative, standards-based, technology-intensive mathematics and science instruction at the K-16 levels." Most of the lessons focus on geometry, statistics, or algebra; but there are also some that cover science concepts. The activities cover a wide range of subject matter, but they can be tedious to browse because there are no suggested grade levels Mailing List Interdisciplinary use of Math Worksheets http://www.edhelper.com/math.htm

35. Updated URL Addresses For Using INTERNET Primary Sources To Teach INTERNET Primary Sources to teach Critical Thinking http//www.exploremath.com/activities/Activity_page.cfm Related Internet Sites fibonacci numbers and Nature http://www.greenwood.com/glazer.htm

A leading publisher of academic, reference, general interest, and professional books and electronic media Updated URL Addresses for Using INTERNET Primary Sources to Teach Critical Thinking in Mathematics By Evan Glazer . ISBN: 0-313-31327-X Last Update: January 16, 2003 Please contact the author about additional or bad links. ABSOLUTE VALUE OF A LINEAR FUNCTION http://www.exploremath.com/activities/Activity_page.cfm?ActivityID=38 Related Internet Sites: Absolute Value of a Quadratic Function http://www.exploremath.com/activities/Activity_page.cfm?ActivityID=37 AIRPORT PATTERN SIMULATOR http://www.db.erau.edu/java/pattern/index.html Related Internet Sites: Airplane Noise Simulator Site 1: http://www.squadron13.com/games/jetnoise/Jetnoise.htm [updated 2/6/02] Site 2: http://www.caan.org/footprnt.html Traffic Simulation Site 1: http://www.phy.ntnu.edu.tw/java/Others/trafficSimulation/applet.html [updated 6/21/02] Site 2: http://teamster.usc.edu/~dteam/images/traffic/ [updated 1/16/03] THE AMBIGUOUS CASE http://home.netvigator.com/~wingkei9/javagsp/ambigu.html

36. Bookmarks Use Children s Literature to teach Mathematics http AAA Math activities For Pi Mathematics Series Favorite Mathematical Constants fibonacci numbers, the Golden http://home.comcast.net/~sellke1/MathSites.htm

Bookmarks Algebra Algebra - Fun with Calendars Algebra Modules Algebra Online Algebra Single Variable Equations - Math for Morons Like Us ... xyAlgebra Art and Other Connections Africa - Mathematics and the Liberal Arts Andrew Lipson's Lego Figure Eight Knot Archimedes Palimpsest Art and Math Resources ... ~ McCann Instructor Info ~ Calculus A LaTeX based Testing and Cooperative Learning system for Mathematics Advanced Calculus and Analysis MA1002 AP College Credit AP Subject Frequency Table ... Wiley Web Tests Conic Sections Ellipical Gear EngCurves Finite Mathematics and Applied Calculus Resource Page Hanging With Galileo ... Xah Special Plane Curves Conic Sections Diversity Africa - Mathematics and the Liberal Arts AMUCHMA ONLINE - Mathematicians of the African Diaspora Chair for Women in Science and Engineering CRPC GirlTECH Home Page ... Weaving Gender Equity - Home Page Excite Art and Other Connections BitArt, Spirolateral Series Exploratorium's Science of Baseball! Investigating Patterns Symmetry and Tessellations Java Kali Home Page ... Scott Kim, Puzzle Master Geometry Java Kali Home Page Jim Plank's Origami Page (Modular) Poly Totally Tessellated Tilings of Regular Polygons Numbers AAA Math Arithmetic - Contents by Grades Curious and Useful Math Fact Monster - Math ... Visual Fractions An On-Line Fraction Tutorial Puzzles Easier Fibonacci Number puzzles Erich's Puzzle Palace Funbrain.com - Guess the Number

37. Math www.lemonadegame.com This fun site will teach you how to fibnat.html This site has many, many activities dealing with fibonacci numbers, including an http://district.sbschools.net/ite/excursions/2003_2004/math.htm

Math Math, all grades: http://www.pbs.org/teachersource/math.htm This site from PBS lets you search by grade level and math topic to find lesson plans and resources. A nice variety! Math, all grades: http://mathforum.org/math.topics.html This site from Drexel University represents what they believe to best Internet resources for each math strand. There are many, many resources listed here. For a list that is more detailed, try http://mathforum.org/library/topics Math, Language Arts gr K-5: http://www.little-g.com/shockwave/frame.html A collection of games, including count the coins to show the total number of cents, alphabetizing, decoding, colors and more. Math, gr K-5: http://hereandabove.com/maze/ Use this site to create custom mazes for your students. Math, gr K-8: http://illuminations.nctm.org/mathlets/ Want to explore math and create interactive lessons? How about a fraction pie? How about an interactive pan balance to "weigh" numeric or algebraic expressions? Watch a dynamic, geometric "proof without words" of the Pythagorean Theorem. Can you explain the proof? (Grades 6-8) at http://illuminations.nctm.org/mathlets/proofs_without_words2/

38. OPB NTTI: Patterns Of Fibonacci Learning activities. teach the Golden Rectangle to students. Have a botanist or zoologist come in and talk about fibonacci numbers and his/her specialty. http://www.opb.org/edmedia/ntti/patternsoffibonacci/

HOME LESSON PLANS LESSON PLANS BY SUBJECT LESSON PLAN TEMPLATE ... CONTACT US THE PATTERNS OF FIBONACCI Master Teacher: Karen Mapes Subject Matter: Mathematics - Algebraic Understanding, Patterns Grade Levels: Time Allotment: 1-2 hours Overview The Fibonacci series is a very dynamic application of mathematical patterns in the real world. Fibonacci numbers can be found in many aspects of nature - the number of petals on a flower is almost always a Fibonacci number, the number of scales that make a spiral on a pinecone or pineapple are Fibonacci numbers, and the proportions of rectangles that create a spiral in a snail shell are Fibonacci numbers. Fibonacci was a 13th-century Italian mathematician. He is credited with introducing the decimal number system to Europe and with discovering a pattern that seems to occur over and over in nature in various ways. The pattern was named after him - the Fibonacci series. The series itself is fairly simple, but its applications in math and nature can become quite complicated. The Fibonacci Series: The series begins with and 1. After that, use the simple rule

39. NEMATYC 2001 some new and interesting properties of the fibonacci numbers. helped me teach signed numbers, the distributive Most activities presented in this workshop will http://www.middlesex.cc.ma.us/nematyc/NEMATYC_2001.html

Middlesex Community College Lowell, Massachusetts NEMATYC'2001 was held at Middlesex Community College in Lowell, Massachusetts, on Friday and Saturday, April 20 and 21, 2001. This was the 27th Annual Meeting. Vice president was Maureen Woolhouse of Middlesex Community College, and the Conference Chairpersons were Carol Hay and Maureen Woolhouse of Middlesex. Besides a great program other events enjoyed by the participants included the following. Friday Evening A tour of the Boott Mill National Park A trolley ride to the hotel, for dinner, then a shuttle bus to the Historic Nesmith House for dessert. The after dinner speaker was Audrey Ambrosino of Historical Lowell, at the Nesmith House. Saturday After-Lunch Speaker Dr. Robert Daveney, Professor of Mathematics, Boston University, talked about and visually demonstrated Chaos Games and Fractal Images Carol Hay and Maureen Woolhouse Middlesex Community College NEMATYC 2001 CoChairs Executive Committee - 2000 - 2001 Past President Ted Panitz Cape Cod Community College President Roberta Kieronski University of New Hampshire at Manchester Vice President Maureen Woolhouse Middlesex Community College Secretary Rick Butterworth Massasoit Community College Treasurer Lois Martin Massasoit Community College Newsletter Editor John Jacobs Mass Bay Community College Newsletter Production Editor Judy Carter North Shore Community College At-Large Member

40. Gateway To Knowledge - Education Help For Teachers And Students, Lessons Plans, numbers Pi the fibonacci numbers Common Weights Connect PBS teachers Source teachnology.com WebQuests, teaching Tools Storytelling activities Lesson http://www.snowhawk.com/edu.html

Gateway to Knowledge - by Snowhawk Biology Cultures Geography Maps ... Site Directory * SnowiNote: I was always going to be a teacher as far back as my memory allows. Yep, I was going to teach school, then teach folks how to fly... Helicopters and Jets. I even "taught" every kid in the neighborhood everything I could think of... Mostly Geography since I had a world map on my wall. Well, I got side-tracked and never taught in a school, but now I teach folks how to use the Internet, so I have fulfilled my "childhood dream." I hope you get to meet that one special teacher who not only makes learning fun, but can inspire you with the desire to do the same for someone else. Pass it on. - Snowhawk Back to School Theme HOMEWORK HELP AND INFORMATION: 10,000 Year Calendar - oozles of calendar links Archaeology Net Biographical Dictionary Kids Encyclopedia Librarians' Index to the Internet ... American Memory Collection Finder - Library of Congress College and Beyond: Online Education - College Courses Online Free University Project Education Index: College Resources Graduate School Directory ChannelOne.com - student news and views World Lecture Hall - free online course materials from around the world Colleges and Universities Grants: Colleges, Scholarships, Financial Aid

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