Escher And The Droste Effect - Universiteit Leiden addition to a book of his prints and his life, I have a book about tessalations, and I i neede help on a geometry echer project and this site really helped me! http://escherdroste.math.leidenuniv.nl/index.php?menu=contact&b=4
Untitled Document show how Mathematica can be used in 2 and 3-dimensional Euclidean geometry. tessalations of the Euclidean plane.The text file Wallpaper.eg explains how to run http://www.math.utsc.utoronto.ca/B30/B30.html
Extractions: This package allows one to study the isometries of the cube (or octahedron) and the dodecahedron (or icosahedron). In the directory README are text files explaining how to use the package. The exercises in Symmetries.ex aim to show graphically that the symmetry group of the cube is isomorphic to S and of the dodecahedron to A
Optical Illusion Art As students work with the software they appreciate how geometry is used to These illusions are done with tessalations using gradients to achieve the value http://www.cs.brown.edu/stc/outrea/greenhouse/nursery/optical_illusions/home.htm
Extractions: 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:
Extractions: ..... open source prototyping Sculptural Vaulting Experimentation Strategy For Cement Shrinkage Self Tensioning Sheet Metal Reinforced Ceilin g The First Ringforcement: Page Researcch for using ringforcement in a small (5m/ 15ft) dome A method for smoothing FerroCement , using rollers (just a start for FC building tips). See Bo's grove style building Tiles form vaulted structure( like domes) Computer Aided Craftsmanship Raster Aided Vectors / Digitizer Aided Building Computer Aided Labor Methods to form flat coils and mesh , (ring machines and job site mesh production). 3D rings and a friend's 24/7 concrete construction robot concept. Nesting elliptical ring frameworks , (instant dome from rings). Nesting cube-faced rings for 3D Reinforcements Progressive concentric spiral as reinforcement Alternative using fiberglass insulation blocks Experimentation with intersecting joists ... EPS Grinding-Experimental Concept. Mix cement or concrete in 5gallon buckets, car spring corkscrew mixer research,
HomeworkTV.com Quadrilaterals. Similar congruent figures line of symmetry. Transformations tessalations. Integers. Graphing an equation. Measurement geometry. Perimeter. http://www.homeworktv.com/6thgrade.asp
Extractions: All lessons are offered in a video format viewable either with Windows Media Player or Quicktime Fractions w/ like denominators Fractions w/ unlike denominators Equations with fractions Decimals Decimal notation Rounding decimals Scientific notation Decimal equations Multiplying whole number by a decimal Multiplying 2 numbers with decimals Meaning of division Dividing by a decimal Lines Angles Measuring angles Classify triangles Sides of a triangle Polygons Quadrilaterals Integers The coordinate plane ( X, Y ) Graphing an equation Perimeter Metric system Area of a parallelogram Area of a triangle The value of Pi Area of a circle Area of irregular figures Moving into Algebra Rounding large numbers Exponents Order of operations Numerical patterns Writing mathematical expression Using equations Solving equations Multiplying by a whole number Multiplying by a fraction Divide by a whole number Dividing 2 fractions Equations w/ fractions The meaning of mean Reading graphs Probability Probability Making an organized list Solids Classifying solids Surface area Formula for surface area Surface area of a cylinder Volume 3 Dimensional figures Understanding Fractions Rules of divisibility Prime factorization Least common multiple Fractions Fractions in lowest terms Comparing fractions Ordering fractions Working with Percentages Ratios Writing equal ratios Rate Proportion Solving proportions Definition of a percent Finding percents
Southwest District Educational Links *, What is a Tessalation? This site offers a definition of what tessalations are and how to build and name them. *, First Grade geometry, This site offers a http://dist.houstonisd.org/southwest/archives/resources/links.htm
Extractions: Please inform the Webmaster of broken links - to save others wasting time. Other Southwest District Internet resources Reference page (for on-line reference, search engines) "Stuff" page (unorganized list of favorite educational sites) How-to page (instructions for certain common tasks) Watch for the video clip page (coming soon) Math (32 links) Reading (15 links) Science (169 links) General
GTCC Gifted & Talented Curriculum 6.07, The student shall build geometry skills through spatial problem solving in two and three dimensions, symmetry, tessalations, taxi geometry and in making http://www.gtccmt.org/curricul/gt/giftedandtalentedcurriculum.html
Extractions: PHILOSOPHY The school district acknowledges the responsibility to provide services that meet the needs of all students to develop their potential. Highly capable students have special needs, as a result of a wide range of abilities and talents. The school is committed to providing these students with a learning environment, flexible enough to allow diversity of options in order to maximize their potential. The school will provide a program that is qualitatively differentiated from the regular program, varied in depth, breadth, complexity and pace. GOALS AND OBJECTIVES PROGRAM GOAL The Gifted and Talented Program will provide in-service and training for staff members, parents, and community members. Objective A To provide a well thought out and planned system of on-going inservice training that takes into account the needs of those receiving the training. Guidelines: Collaborative teaching. Objective B To provide training for staff members so that skills are developed in interventions, adaptions, and strategies for gifted/high ability students. Guidelines: Particular attention should be given to: Use of cross-disciplinary teaching.
CSS Exercise 5 tessalations are Great. When, later, in stereometry solid geometry, an appeal was made to my imagination, it went a bit better, but in school I never excelled http://eduscapes.com/arch/cssex5.html
Extractions: Maurits Escher was always referred to by his parents as Mauk. He was brought up by his father, George Escher, who was a civil engineer, and his second wife Sarah who was the daughter of a government minister. He lived with his four older brothers, Arnold, Johan, Berend, and Edmond. Maurits attended both elementary and secondary school in Arnhem between 1912 and 1918, where he failed to shine in many of his subjects, but exhibited an early interest in both music and carpentry. People expressed the opinion that he possessed a mathematical brain but he never excelled in the subject at any stage during his schooling and treated the subject with some considerable unease. He wrote [7]:- At high school in Arnhem, I was extremely poor at arithmetic and algebra because I had, and still have, great difficulty with the abstractions of numbers and letters. When, later, in stereometry [solid geometry], an appeal was made to my imagination, it went a bit better, but in school I never excelled in that subject. But our path through life can take strange turns. Early reports detailed his methodological approach to life which was taken to be an unconscious reaction to his engineering family upbringing. As a child, Maurits always had an intensely creative side and an 'acute sense of wonder'. He often claimed to see shapes that he could relate to in the clouds.
Bookmarks For Charlie Pitrolo V. geometry ( 6.30 6.38 ). http//www.aimsedu.org/ Geopanes ( IGO 6.36 ) World of Escher - http//www.WorldOfEscher.com/ gallery of tessalations, drawings VI. http://members.tripod.com/~Computer_Tutor/cpbook.htm
THE SATURNALIA PROJECT Such as grids and tessalations of Islamic art (see Kritchlow s books) which may be Symbolically, the 12fold geometry is seen as that of the Zodiac, as well as http://members.tripod.com/~TheHOPE/saturnal.htm
Extractions: HOPE Home Page The Academy Cyber Library Art Gallery ... E-mail THE SATURNALIA PROJECT Preliminary Proposal Y.I.Khay 4/87 AIM Participants Possible (and alternative) Scenarios Display ... Guidelines for Developing Meaningfull Letter Patterns To develop a marketable Game System for the AMIGA PC (as well as other PCs with decent sound and graphics) which is inspired by the Book "Calculator Saturnalia" by Pask et. al. (Wildwood House, U.K., 1980 and Vintage Books, N.Y. 1981). The inspiration may use the original story (as in that book or in Pask's Micro-Musical "The Catastrophe Girls"), or a story similar in intent and tone. It will certainly be modelled on Pask's two-level structuring of the Book and of his instructional systems as described in Pask's many papers and books. - Prof. Gordon Pask, Amsterdam University and the A.A. - Dr. Yitzhak (Isaac) Hayutman, Haisseman Bros. - Ofer Raz, Computer Wiz Kid, the Bossmat School. - possibly Dr. Itiel Asmon, Haisseman Bros.
Lesson Plan Algebra . geometry -7th - Polygons, Triangles, and Quadrilaterals, tessalations. Measurement -8th -Indirect measurement. Statistics and Probability -. http://www.tcsdk12.org/littlebg/Bobby/32of39.htm
Extractions: Lesson Plans for Bobbie Cox Date/Week: April 19-23, 2004 School: Littleburg Balanced Literacy Read Aloud/Modeled Reading -Where the Red Fern Grows Modeled Writing -RAFT - Letter of Apology Shared Reading Shared Writing Interactive Reading Interactive Writing Guided Reading -4th - Reading w/ text boxes, graphics 6th - Sign of the Beaver - focus on vocabulary, comprehension, and writing in response 7th - Accelerated Reader, The Cay - focus on theme, character change 8th - Forbidden Forest - focus on POV, summarizing Guided Writing Independent Reading Independent Writing Centers -Word Play, picture paragraph Phonics 4th - Silent E activities, syllabication Spelling Lesson 32 4th - schwa 6th - words w/ ar, er, or 7th - ance, ence 8th - ance, ence Math Number Sense -4th - Order of Operations, Decision Making in Math 6th - Percents 8th - Dilations, Square Roots Patterns, Relations and Functions Algebra Geometry -7th - Polygons, Triangles, and Quadrilaterals, Tessalations
Lesson Plan geometry 8th - similar and congruent triangles, tessalations, transformations. Measurement -6th - Length in custumary system. Statistics and Probability -. http://www.tcsdk12.org/littlebg/Bobby/21of39.htm
Extractions: Lesson Plans for Bobbie Cox Date/Week: February 2-6, 2004 School: Littleburg Balanced Literacy Read Aloud/Modeled Reading -Little House in the Big Woods Modeled Writing -Descriptive paragraphs Shared Reading -with literature circles Shared Writing Interactive Reading Interactive Writing Guided Reading - 4th - JT - preread discussion, predict, intro to lit circles, vocabulary, comprehension, discussions 6th - 7th- Charley Skeddadle - focus on vocabulary, comprehension, predicting, 8th - Tom Sawyer- vocabulary, comprehension, themes, discussions Guided Writing Independent Reading Independent Writing Centers -word play, picture paragraph Phonics English 4th - vowel teams, vowel diagraphs 6th - suffixes 4th - verbs 6th - Verb tenses 7th - 8th - adjectives Spelling Lesson 21 4th - oo or yoo 6th - o^ 7th - words with u 8th - words with r control Math All students participate in Daily Workshop Number Sense -4th - multiplication by 1 digit 6th - LCM Patterns, Relations and Functions
April - May Newsletter This spring we will also bring geometry concepts to our classroom, including the Our next adventure will be about tessalations, which is also about shapes and http://www.ops.org/monroe/aprilnews.html
Extractions: Dear Parents, Students and Community Members: We are now down to the final quarter of the school year! By checking out the extensive Calendar of Events in this newsletter, one can see the remaining weeks of the 2003-2004 school year will be very busy, exciting and hopefully memorable for Monroe student's and their families. Monroe's staff and parents will honor and recognize our terrific students for their vast accomplishments during this school year by holding two Monroe Honor Nights. Seventh graders will be honored on Tuesday, May 18 and Eighth graders will be honored on Monday, May 17. Both events will be held in the Monroe gymnasium beginning at 7:00 p.m. The Monroe staff is pleased with the pride and effort students took in taking the California Achievement tests. We are extremely hopeful that our scores will improve.
Amby's Education Site -- Math Puzzles & Learning Activities and instructions for creating polygons and tessalations using Origami performance tasks) geometry Collage, Logic Advertisement, Tessellations, Scale Drawings http://amby.com/educate/mathgame.html
Extractions: Other Math Resources EduStock Edustock is designed to teach people of all ages about the stock market. It includes: EduStock http://tqd.advanced.org/3088/welcome/welcomenf.html The Diet Problem: An Application of Linear Programming Check-off the foods you're willing to eat and the program will find the cheapest combination of them meeting a person's daily nutritional requirements. Provides numbers of servings, cost, percentages of nutrients from different sources, etc. in both table and pie chart form. PLEASE consult your doctor before embarking on any diet especially one, for example, including 10 servings of Air-Popped Popcorn!! Argonne National Laboratory Mathematics and Computer Science Division http://www.mcs.anl.gov/home/otc/Guide/CaseStudies/diet/index.html
Example2-SW_Eval.html Window Patterns involves the practice of transformational geometry and tessalations by allowing students to generate their own pictures. Evaluation Criteria http://mdac.educ.ksu.edu/718/Examples/TUTOR_paper/Example2-SW_Eval.html
Extractions: Math Workshop is a very fun and interactive software which features seven different activities. This particular software is more of a teaching tool that introduces and reinforces math skills. In these activities students will face a wide variety of math concepts and processes such as: addition, subtraction, division, multiplication, equivalencies, estimation, fractions, logic, creative problem solving, geometry, and spatial relations. Each of the seven activities provide multiple difficulty levels and are full of wonderful animation and sounds. The narrator of this software is a little girl whose name is Poly Gonzles. I like the fact that this software didn't go the stereotypical route of using a male figure. The Math Workshop pack also includes a teacher's guide which provides teachers with curriculum matrix, annotated bibliography, blackline masters, and technical tips. It also includes fifteen lesson plans, a comprehensive user's guide, and a bonus resource which provides overhead rainbow fraction tiles.
A Hotlist Of Math Links This is a very comprehensive collection of information about teaching elementary geometry. from entry level ideas to Escher in this site about tessalations. http://www.kn.pacbell.com/wired/fil/pages/listmathlinpa.html
Extractions: School District of Waukesha, WI Introduction Teacher resources and links Student resources and links ... Ready to print problems This page allows me to keep a handy list of math sites. It is a collection that changes the most during the summer when I have extra time to explore new sites. If you find dead links please let me know. Grade 1 links Grade 2 links Grade 3 links Grade 4 links ... Wisconsin Mathematics Academic Standards - Scroll to the bottom of this page to link to the standards. Illuminations - The Marco Polo Math Link - This is a direct link to the index of the interactive tools on this site. Click on the appropriate grade level at the top of the page to find things for your grade. National Library of Virtual Manipulatives for Interactive Math - Wow! Take a look at this! I found it intriguing. So many ways to model math interactively on the internet. The Shodor Education Foundation - This is a second net site with many interactive math models for concepts and operations. K-3 Webquests - These look like wonderful sites. They are categorized by topic rather than subject area. They seem to be worth the time it takes to preview.
Mathbooklet6_8 geometry (D/I). Back to top of page. GRADE 7 - TOOLS, TECHNIQUES. Chp. 8. Chp. 9. tessalations - Find newspaper article with an ezample of a display. http://www.d46.k12.il.us/curriculum/mathbooklet6_8.htm
Extractions: GRAYSLAKE SCHOOL DIST. 46 MATH GRADES 6-8 SCOPE AND SEQUENCE Return to the index OVERVIEW VOCABULARY / CONCEPTS TOOLS, TECHNIQUES EVALUATION, SYNTHESIS / OPTIONS Grade 6 Grade 6 Grade 6 Grade 7 ... UNITS - Grades 6 - 8 OVERVIEW Mathematics is a language we use to identify, describe and investigate the patterns and challenges of everyday living. It helps us to understand the events that have occurred and to predict and prepare for events to come so that we can more fully understand our world and more successfully live in it. Mathematics encompasses arithmetic, measurement, algebra, geometry, trigonometry, statistics, probability and other fields. It deals with numbers, quantities, shapes and data, as well as numerical relationships and operations. Confronting, understanding and solving problems is at the heart of mathematics. Mathematics is much more than a collection of concepts and skills; it is a way of approaching new challenges through investigating, reasoning, visualizing and problem solving with the goal of communicating to others the relationships observed and problems solved. Back to top of page GRADE 6 - VOCABULARY Chapter One: Chapter Two: Base, exponent, power, scientific notation, percent, substitution principle, circle graph-(M), pie graph-(M), circle, center, radius, pie chart, diameter, sector, arc, exponential form, negative exponent.
EducationalLinks The Mathematics of Cartography, The Mathematics of Rainbows. geometry through Art, tessalations. Frank Potter s Math Links, About the numbers in today s date. http://www.mcsd.k12.ms.us/EducationalLinks.html
Extractions: Some Helpful Websites and Samples http://www.bie.org/pbl/index.php http://www.serve.org/seniorproject/ http://www.jff.org/jff/ http://www.pltw.org/aindex.asp ... http://www.iearn-canada.org/guideontheside.html Social Studies Web Sites Beauvoir - Home of Jefferson Davis Mississippi Writer's Page Kathy Schrock's World and Ancient History Sites Kathy Schrock's General History and Social Studies Sites ... Merriam-Webster Dictionary Science Web Sites Harvard's Bioscience Resource Page The Internet Public Library Login to EBSCO Host Encarta ... Merriam-Webster Dictionary Great Sites for Students Lissa Explains it All - HTML Help for Kids The Solar System Simulator MELO MAGNOLIA ... Encarta Elementary Websites Crayola Color Matters The Yuckiest Site on the Internet CIA for Kids ... Office of the Lieutenant Governor English Web Sites Laura Ingalls Wilder Selected Poetry of Tennyson Merriam-Webster online The Tennyson Page ... Merriam-Webster Dictionary
Sociology Of Secret Societies nehe.gamedev.net/; tilestudio.sourceforge.net; Treatise of plane geometry through the kc rock; Delta Blocks tessalations structures tiling; ambiguous art webring; http://www.spunge.org/~uriah/notepad.htm
Extractions: concrete models of computation ray-tracer in haskell teaching bayesian reasoning Digital Quaker Collection ... Laputan Logic just wonderful! einstein v. bohr sociology of secret societies faerie faith in celtic countries Louis Moe ... Mike (from RCE)'s page. http://www.lowimpact.org The Subtlety of Sameness, Analogy-Making as Perception The World of Money newsletter Need To Know -the other one. introduction to chaos information geometry alamut The Sword of Allah ... thesis beautiful Foundations of Functional Programming and Lectures on the Curry-Howard Isomorphism On the Lawfulness of Grouping by Proximity Languages of Perception ... gema Vollmann's Rising Up and Rising Down Order-of-magnitude physics pfh author of Resynthesizer has a blog BayesSys software uses Hilbert curve to reduce dimensionality of problem (sonof sez: "holy crap!") Ronald Burt Social Network Analysis Rose Mary Sheldon Intelligence in the Ancient World Giorgi Japaridze Computability Logic someone else's notebook. similar in format and content(!) to this page Elementary Calculus: An Approach Using Infinitesimals Science and Sanity Barr and Wells Category Theory lecture notes PROMIS j. orlin grabbe
Lastmeta.html We did our math disaster unit and it was a huge hit! I really liked the geometry unit that Jake s group did as well as the tessalations activity. http://www.mste.uiuc.edu/courses/ci332fa01/students/cohort2/handrew/metalessons/
Extractions: Last Metalesson Well, our last day of math class has arrived very quickly. We each presented our unit lessons and did an introductary lesson on to show the other groups. We did our math disaster unit and it was a huge hit! I really liked the geometry unit that Jake's group did as well as the tessalations activity. This semester in math was a lot of fun and I really enjoyed Tim as our intructor. I learned how to make math real-life, hands on, and meaningful. I am sad to have to leave this class. As a cohort, we all enjoyed working and learning together in this particular class. It was a relaxed environment, yet we worked efficiently and effectively.
