41. Syllabus 206 two and threedimensional areas and volumes and applications C) Other geometric topics-toplolgy, tessalations, fractals D) Perspectives on geometry in society http://www.nmc.edu/~mnelson/Syllabus206.html

M.E.T. Course Syllabus Prerequisite Courses *The Transfer of NMC courses is determined by the transfer institutions in cooperation with NMC. To check the transferability of this course, visit the web site: http ://www.nmc.edu/~counsel/#transfer The Text Mathematics for Elementary Teachers and a TI 83 calculator. Materials: Scissors, colored pencils, notebook, Computer floppy disk In April: Protractor and Compass. General Learning Outcomes *Show a more positive attitude toward learning and using mathematics *Show a decrease in anxiety toward learning and using mathematics Students develop fundamental algebra and arithmetic skills, as well an ability to communicate these skills in their future teaching profession. Critical Thinking and problem solving skills are developed to the point where students can solve meaningful and relevant applied problems as individuals and as groups. Graphing calculator skills are developed so that students are comfortable using mathematics with technology. Specific Learning Objectives First Semester Objectives, MET 106

42. Totally Tessellated Guestbook We are here during our geometry class because we are doing a section on tessalations.We haven't seen much of the site yet, but so far so GOOD. http://hyperion.advanced.org/16661/gather/guestbook/

43. AMU CHMA NEWSLETTER #5 (5/25/1990) mathematics, in J.Hoyrup; Mathema tics, Algebra and geometry the Mathematical androtational symmetries, repeated patterns on a strip, tessalations in the http://www.math.buffalo.edu/mad/AMU/amu_chma_05.html

AMUCHMA-NEWSLETTER-5 Chairman: Paulus Gerdes (Mozambique) Secretary: Ahmed Djebbar (Algeria) Members: Hilda Lea (Botswana), George Njock (Cameroon), Maassouma Kazim (Egypt), Salimata Doumbia (Ivory Coast), J.Mutio (Kenya), Mohamed Aballagh (Morocco), Lawrence Shirley (USA), Abdoulaye Kane (Senegal), Geoffrey Mmari (Tanzania), Mohamed Souissi (Tunisia), Venie Timkumanya (Uganda), Claudia Zaslavsky (USA) TABLE OF CONTENTS NEWSLETTER #5 Objectives of AMUCHMA Meetings 2.1 Papers presented at recent meetings Current research interests Suggestions for further research 4.1 Hypatia of Alexandria (c.370-415 a.d.) Education Have you read? Notes and queries Anouncements ... back to AMUCHMA ONLINE 2. MEETINGS 2.1 PAPERS PRESENTED AT RECENT MEETINGS * At the 2nd East African Symposium on Current Research Trends in Mathematics, Computer Science and Mathematics Education (Arusha, Tanzania, September 11-16, 1989), a paper by Paulus Gerdes "On Mathematical Elements in the Tchokwe 'Sona' Tradition" (Cf. : 5, AMUCHMA

44. Math Web Sites Math History. The Chance Database. EMath. Fractals. K-12 Statistics. The Mathematicsof Cartography. The Mathematics of Rainbows. geometry through Art. tessalations. http://www.geocities.com/goncetraining/math.html

Math Web Sites Cool Math.com The Math Forum Math Magic Geomentry in Motion ... Search Engines for Kids

45. Mathematics Interactive geometry with JavaSketchPad Explore geometrical shapes such as the Totallytessellated Fascinating collection of tessalations, details about the http://www.chalkface.net/pagecopy/subjectitems/maths01.htm

Chalkface.net Mathematics Your browser does not support script You can get your holiday money from us, no commission, and delivered to your door. Click above. Quick Links Surf 24/7 for an amazingly low price Web Site Hosting Free Museum Visits Get a free web mail ... Trigonometry Algebra A level Maths Resources for A level Maths teachers, Mathsdisc is their product. Base 10 Blocks A Java animation to help teach place value, addition, subtraction, multiplication and division. Eye Opener Series After visual proofs shows why formalisation through the rigour of algebra is vital. Fibonacci Numbers and Nature Everything you wanted to know about Fibonacci numbers. Kali Draw patterns (in colour) with a variety of symmetries. Maths for Kids Designed by 10 year olds and suitable for use in primary schools. Maths Is A Game One page from a site of interesting Java applets. Web animations that bring maths to life. Pascal's Triangle Lessons using Pascal's Triangle at elementary, GCSE and Advanced levels. Proofs Without Words Visual proofs of the formula for the sum of the first n positive integers.

46. Math Web Sites The Mathematics of Cartography; The Mathematics of Rainbows; geometry throughArt; Sorting and Predicting; tessalations; Math Games; Ms Hoffmann's Math Puzzles; http://www.wcsd.k12.ms.us/shs/tlcf/econner/math.htm

Math Web Sites Cool Math.com Frank Potter's Math Links About the numbers in today's date Mathematics for Everyone ... Resource Page for Lesson Plans Return to WCSD Homepage

47. William E. Brunz David A. Reid has written a project covering Transformational geometry that includes toidentify basic types to symmetry through the tessalations, as well as http://www.kcmetro.cc.mo.us/pennvalley/math/eisen/96/williamb.htm

William E. Brunz (Web) Web Surfs the Web A Teacher's Guide to Building the Icosahedron as a Class Project The Icosahedron project guide was developed by The Geometry Center, a mathematics research and education center at the University of Minnesota. This illustrated guide gives step-by-step instructions on how to construct a twenty-sided geometric figure, the icosahedron, using commonly available art supplies. This project is based on the design used for the "World's Largest Icosahedron" constructed at the Geometry Center by 6-8th grade students during the summer of 1994. Although the project plan is very specific in content, the instructions are written in an extremely clear and concise format. This would be an excellent class project to use in an alternative or interdisciplinary environment. Url: http://www.geom.umn.edu/docs/education/build-icos/ Lessons Developed by Susan Boone ©June 1995: GirlTECH '95 Participant These pages were developed through GirlTECH '95, a teacher training and student technology council program sponsored by the Center for Research on Parallel Computation(CRPC), a National Science Foundation Science and Technology Center project. Ms. Boone has complied six activity projects for secondary math students(Algebra I, General Math)as a technological complement to the curriculum. All lessons were designed for all students to use technology in cooperative problem solving in an environment free of gender bias. Students will enjoy investigations in the development of and graphing linear equations, lines of best fit, cost ratios, geometric measurements, computer graphics and visualizations, measures of central tendency, statistical interpretations, pattern recognition, and technological problem solving.

48. Sarah And Lynne&’;s Tessalations Tessellations in geometry. By Sarah Kelley and Lynne Murphy. Introduction Wehave been learning about tessellations in our geometry class. http://chs.osd.wednet.edu/nadelson/chsscimath/Tessellations98/Sarah Katie and Ly

Tessellations in geometry By Sarah Kelley and Lynne Murphy Introduction: Lynne and I are juniors at Capital High School. We have been learning about tessellations in our geometry class. We learned how to make the tile and how to tessellate it. What is a tessellation? A tessellation is when you cut out a shape and trace it on paper. when you trace it you do it in a repeating pattern so that there is no open space. The pattern has to have definition so that you can see what it is and it has to have contrasting color. Very famous Tessellations were done by Escher About our tile: Our tile started out as a square. We cut out the top and one side. We paste the top to the bottom and the one side to the other side. Our tile now is in the shape of an elephant About our tessellation : Our tessellation is a translational that means that there is a series of pattern. The pattern of an elephant repeats over and over to make it a tessellation. Conclusion: In this project we learned what a tessellation was and how to make them. We learned how to make a tile that tessellates properly.We learned how this relates to our geometry class.

49. The Genuine Geniosity And Associate Some of the most fameous tessalations were invented by MC Escher. GeometricOf, relating to, or according to the methods or principles of geometry. http://chs.osd.wednet.edu/nadelson/chsscimath/TESSELLATION 2000/J&Gtess/genuine_

The Genuine Genius James Trendall and Brian Guy Introduction Our assignment was to create a tessellation and design a web page explaining how to create our tessellation. In this web page we will briefly explain tessellations and will show you each of the tessellations we created and how to create them yourself. About Tessellations and This Project For this project, we will show you how we created tesselations from equilateral triangles. You can make tessellations out of any geometric shape that will tessellate on its own. Some of the most fameous tessalations were invented by M.C. Escher. Making A Tile this is a tessalation of a kangaroo-like creature. It was made with geometer's sketchpad These are the steps for creating Brian's tile. It was creating with Geometer's Sketchpad. The Finished Tile This is James finished tile. it used to be a triangle now its a kangaroo. This is Brian's finished tile. It originated from an equilateral triangle. I think it looks like a swan. Making the Tessellation This is Brian's finished tessellation. I used Appleworks to color the tessellation.

50. Math/Chem/Comp 2000 Th., and Sachs, H., On Spectra of Polyhedra and Hexagonal tessalations on Torus. Kilic,S., and Krotscheck, E., Helium Dimers and Trimers in Confined geometry. http://mcc.irb.hr/text_old.html

June 19-24, 2000, Dubrovnik Croatia was held under the joint auspices of Inter-University Center Dubrovnik Croatia Rugjer Boskovic Institute ... Croatia The International Society for Mathematical Chemistry and The International Society for Theoretical Chemical Physics Program STRUCTURE OF THE MEETING Monday, June 19, 2000 OPENING CEREMONY Morning Session: Mathematics in Art, History, and Sciences Poster Session: Posters remained exhibited till Tuesday evening Afternoon Session: Discrete Mathematics and Topology in Chemistry and Physics Tuesday, June 20, 2000 Morning Session: Mathematical Chemistry and Physics Afternoon Session: Computations and Modelling in Science and Technology Wednesday, June 21, 2000 Morning Session: Session on Advanced Materials (organized by Zorica Crnjak-Orel , Edward C. Kirby, Stane Pejovnik, and Aleksandra Turkovic) - Part I Poster Session: Posters remained exhibited till Thursday evening EXCURSION Mali Ston Vila Koruna Thursday, June 22, 2000 Morning Session: Session on Proteins, Bioinformatics, and Biocomputing (organized by Davor Juretic , Gabor Naray-Szabo, and Nenad Raos) Afternoon Session: Courses Pre-Dinner Talk CONFERENCE DINNER Friday, June 23, 2000

51. Terry's Favorite Top Ten is mostly science interactive activities but also has a geometry center with topicspresented at all grade levels tangrams, tessalations, origami, geodesic http://eisen.kcmetro.cc.mo.us/99/terryg.htm

Terry Garrison Cameron R-1 Cameron High School Mathematics Grades 9-12 Top Ten Web Sites Math Forum Provides creative, non-routine challenges on Math topics K-12. Ideas on assessment, curriculum development and block scheduling. Also has an internet math hunt, math magic and math projects. Especially like Geometry problem of the week and month. Url: http://forum.swarthmore.edu/ SCIENCE U This site is mostly science interactive activities but also has a Geometry center with ideas on tilings, symmetry and puzzles. Url: http://www.ScienceU.com/ Brain Teasers Provides challenging brain teasers for individuals or for groups, at home or in class. One brain teaser posted each week at each of three grade levels. Url: http://www.eduplace.com/math/brain/ Cool Math - Welcome to COOLMATH.COM by Karen!! Many individual topics presented at all grade levels: tangrams, tessalations, origami, geodesic dome. Topics include ideas for succeeding in math, careers in math and much information for teachers. Url: http://www.coolmath.com/index.html Interactive Mathematics Miscellany and Puzzles A secondary site that offers many games and puzzles that kids can do on the computer for fun or enrichment. Neat, short, fun games, did you know facts and things impossible. Url: http://www.cut-the-knot.com/

52. Resources For Secondary Math Teachers-99 Algebra, Trigonometry, geometry, Calculus and higher are the some areas cross topicspresented at all grade levels tangrams, tessalations, origami, geodesic http://eisen.kcmetro.cc.mo.us/99/secmath.htm

Resources for Secondary Math Teachers-1999 Water to the Max - An AskERIC Lesson Plan Water to the Max can be used as a class activity , extra credit, or as a homework assignment. Students will use a garden hose to spray water and measure the distance the water will travel. The purpose is to find the optimum angle to get the greatest distance. Url: http://ericir.syr.edu/Virtual/Lessons/Mathematics/Geometry/GEO0006.html Math Forum: Ask Dr. Math - High School Level Geometry "Problems of the Week". You may also submit problems to Dr Math and he/she will give hints to solve them. Url: http://forum.swarthmore.edu/dr.math/tocs/geometry.high.html Math Forum: Ask Dr. Math - High School Level This site is potentially helpful to students who need help in solving math problems. A wide variety of grade levels and subject areas are included. Url: http://forum.swarthmore.edu/dr.math/drmath.high.html MAST Answerline Question Form Various resources for Math teachers with a unique interactive feature that allows you or your students to send questions to MAST. They will help answer them. Any type of Math education will be reasearched for you. Url: http://www2.semo.edu:80/mast/

53. IC Links Mapping. Math Links. geometry Activities. Math. Language Arts Links. Poetry. Geography/SocialStudies Links. Math Links. tessalations and Symmetry. History Links. http://www.mhasd.k12.wi.us/ic/ICLinks/

IC Links By Grade Level and Subject Area Third Grade Links Language Arts Links Parts of Speech Science Links Seeds/Seed Dispersal Volcanos Geography/Social Studies Links China Australia Africa Math Links Math Fourth Grade Links History Links Wisconsin Native American Native Americans/Archeology Civil War Dustbowl Days Science Links Simple Machines Wetlands Oceans/Density Electricity ... Clouds and Weather Geography/Social Studies Links Wisconsin Government Wisconsin Tourism Mapping Math Links Geometry Activities Math Language Arts Links Poetry Parts of Speech Fifth Grade Links Language Arts Links Parts of Speech Science Links Birds/Bird Identification Geology Sites Light and Sound Migration ... Cow Eye Dissection Geography/Social Studies Links Math Links Tessalations and Symmetry History Links Castle / Medieval Links for All Game Sites Research Sites Online Student Portfolio Back

54. TitleIRileySummer02 activities. (Try geometry/tessalations, Ms. King. Lemonade Standis also fun.). Play the Math Puzzler for Classroom Prizes! Week http://www2.milwaukee.k12.wi.us/title_i/Web_Pages/titleirileysummer02.htm

Title I Summer School Program at Riley: Builders of Dreams, Using Technology for Today's Learners and Tomorrow's Careers Typing News This summer at Riley, students entering grades four and five used an application called "UltraKey" to learn to type. Keyboarding Honor Roll Room 25, Grade 5 Demetrius L.; 23 WPM, 100% accuracy Gabrielle M.; 17 WPM, 100% accuracy Aaron W.; 17 WPM, 98% accuracy Alex C. 13 WPM, 100% accuracy Tevin H.; 13 WPM, 98% accuracy Brandon H.; 11 WPM, 100% accuracy Marisol M.; 10 WPM, 100% accuracy Room 26, Grade 4 Rosalyn W.; 12, WPM 97% accuracy Bethzaira P.; 11 WPM , 100% accuracy Stephen T.; 11 WPM, 98% accuracy Mohammad A.; 11 WPM , 95% accuracy Geneva M.; 9 WPM, 100% accuracy

55. 0 I've created examples of tessalations for 6th grade to do on their own outside ofworking with K students. They will enjoy this combining art with geometry. http://lilinote.k12.hi.us/STATE/ATR/imathref.nsf/0c4ab3777fd31ccf0a25699e00012ea

56. Math Web Sites EMath. K-12 Statistics. The Mathematics of Rainbows. geometry through Art. tessalations.Math Games. Online Reference to Math Problems. Mr. Titen's Math Page. http://www.rcsd.k12.ms.us/departments/td/EducationalTechnology/Internet/math.htm

Math Web Sites Cool Math.com Frank Potter's Math Links About the numbers in today's date Mathematics for Everyone ... Resource Page for Lesson Plans

57. Gigi Pitts' 6th Grade Math Page Mathematics of Rainbows; geometry through Art; Sorting and Predicting;tessalations; Math Games; Ms Hoffmann's Math Puzzles; Shack's Math http://www.rcsd.k12.ms.us/~web48/web_gpitts/MathPage.html

Back Cool Math.com Frank Potter's Math Links About the numbers in today's date Back Cool Math.com Frank Potter's Math Links About the numbers in today's date ... Resource Page for Lesson Plans

58. Page Not Found Solano, Geraldine. Exploring geometry Through tessalations. Steffan, Donna.Developing LearningCentered School Libraries (pdf format). Stephens, Tammy. http://confreg.uoregon.edu/necc2001/NECC_CD/presents/sessot.htm

Page Not Found Page not found back to Continuing Education's Website (An email with the page error has been sent to the Webmaster)

59. Optical Illusion Art As students work with the software they appreciate how geometry is used to Theseillusions are done with tessalations using gradients to achieve the value http://www.cs.brown.edu/stc/outrea/greenhouse/nursery/optical_illusions/home.htm

Welcome! The following activities are designed to be taught independently as well as together for a more comprehensive understanding of Optical Illusions. I hope they meet with the needs of any teacher who is interested finding new ways to integrate disciplines within curriculum lesson plans. All of these activities are taught by Visual Arts teachers Judith Keenan and Susan Petrarca to the general population of students at West Warwick High School. We see these students as the future generation of art appreciators. The "student outcomes" of this lesson are as follows: -Students will become familiar with the history of Illusion in the arts and how it has influenced the way artist create images today. - Students will realize how math and art are integrated when creating visual images. -Students will acquire an appreciation for how 2D patterns and color association affect their visual perception -Students will acquire tech skills on the computer that will enable them to create basic designs in a draw program.

60. Teacher Page Block Day. MATH 7. CW tessalations. HW Weekly Challenge 11 assigned. Friday.MATH 7-. CW Career Day/ Bring geometry project stuff. ART 6- Split Image. http://rusd.marin.k12.ca.us/delmar/teacher/snyder/snyder.htm

Mr. Snyder Class Information Announcements Assignments Class Information Announcements Upcoming Assignments/Announcements 7th grade math This week we begin a new chapter. Chapter 7, The Class Tournament 6th grade art Perspective- Students will learn the techniques of using a horizon line vanishing points and straightedges to create the illusion of 3 dimensional space on a 2 dimensional surface. Students will then use this knowledge to create a cityscape in perspective. 7th grade art NEW PROJECT - Self Portraits- Students will embark on an exploration of the face as told through proportion and direct observation. They will be completing many studies of their own image and learning about the proportions involved in creating a face that "looks correct" Students will also learn methods to create the elements of the face such as the eyes, nose and mouth using shape. This unit will culminate with the creation of a large scale charcoal self portrait. 8th grade art Seurat Pointalist Paintings- Students will learn about the french artist Seurat and his innovations and techniques using small brushstrokes or dots of paint to create a large painting. The dots he used would blend together when viewed from a distance to create the mixing of colors normally achieved by actually mixing the paint on a pallete.

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