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  • Interdisciplinary | Math Fan

    STEAM LESSONS, IDEAS, PROJECTS, AND ACTIVITIES Orange Game CS Unplugged Activity Sorting Networks CS Unplugged Activity Line Drawing Algorithm CS Unplugged Activity

  • Math Club | Math Fan

    Math Club Here is a carefully crafted curriculum to fuel the curiosity of young mathematicians and make math club meetings engaging and educational. On this page, you'll find a possible roadmap that takes you on a captivating mathematical journey, covering exciting topics, activities, and challenges. Numbers Number Sums and Gauss Primes Euler’s Prime number formula Sieve of Eratosthenes Prime Facts The Great Internet Mersenne Prime Search Iconic Numbers of Math Pi - number Fibonacci Sequence Activity Phi number Euler’s Number Recurring Decimals Exponential Growth – Do Vampires really exist!? Number Bases and Binary Real vs. Imaginary Numbers ​ Infinity Zeno’s Paradox Hilbert’s Hotel Cantor’s scales of infinity ​ Geometry ​​​ Cube Investigation Prisms and Pyramids Project Archimedes Pi-finder with Archimedes Anti-Prisms Platonic Solids and Pull-out nets Circle Constructions Ellipses Reuleaux Triangle, Polygons and Solids 4th Dimension and Dali and Flatland The Brachistochrone 1 - 2 Topology Mind-bending shapes Compare and Classify Shapes Mobius Strips Klein Bottle​ Recycling Logo, Balance, and Sustainability for our World Graph Theory Euler Circuits Königsberg Bridges Euler Theorem The Utilities Problem Six degrees of Separation Map Coloring ​ Mathematical Timeline Mathigon and Long term Student Project Story-telling sessions and bring famous mathematicians to life (Apps ) Numbers' Book Math-Magic Top and Bottom (Three fair die), Always 34 Pick a number Magic 115 trick Multiplication Wizard Famous $30 bill problem Algebra-based Magic Examples and Create your own math-magic Pythagoras and his theorems Proof of the theorem Music Ratios Greedy Cup Lattice Squares HIP game by Martin Garner Pascal Triangle A detailed Investigation on Pascal Triangle ​ Algebra Combination Activity - Paths on Grid Probability and Galton Board Probability and Statistics Array Diagrams and Probability Factorials Activity Combination Lock Birthday Paradox The Monty Hall Problem Predictions lead to Data Science Misleading Graphs Sicherman Dice Algorithms A path from Algorithms to AI Sorting Network activities Google AI Experiments Cryptology History of Cryptology Caesar’s Cipher Enigma Machine MATH & ART​ String Art Spirographs​ Curves of Pursuit Tessellation Pentagonal tessellations Escher’s Art 17 Symmetry Groups Rep-tiles Spidrons and John Edmark The Impossible Shapes​ The Ambiguous Shapes​ The art of Anamorphic Illusion​ Vedic Mathematics​ Hexadecagon Tiles Flextangles ​ Fractals Fractal Slides How long is a coastline? Sierpinski Triangle 2D or 3D, Area Calculations Koch Snowflake and Perimeter Calculations​ Dragon Curve Menger Cube Origami Folding to create plane figures Folding for geometrical constructions Creating 3D Solids Solar Panels of the Spaceships GAMES Tangrams Toothpick Puzzles The game of Nim John's Conway's Game of Life Puzzles TECH CORNER: Basics of GeoGebra Basics of DESMOS Geometric Constructions w/ EUCLIDEA

  • Online Math Museum | Math Fan

    Welcome to Online Math Museum Welcome to our Online Math Museum, where the wonders of mathematics await your exploration. Step inside and embark on a captivating journey through the beauty, history, and practicality of math. Uncover the secrets of prime numbers, marvel at the elegance of fractals, and discover how math shapes our world. Join us as we celebrate the magic of numbers, shapes, patterns and the boundless curiosity they inspire. Under Construction ...

  • Cylindrical Mirror | Math Fan

    Math Fan Content Lessons Tasks Math Club Projects Math @ Home Math Magic Games & Puzzles Math & Art Cylindrical Mirror and Anamorphic Art << Math & Art The distorted (anamorphic) images grab everyone's attention. In the cylindrical mirror example, hidden pictures are drawn on a POLAR GRID and they only come to life when viewed through a cylindrical mirror. ​ The original art requires a mirroring paper, but nowadays, unwrinkled aluminum foil can be used as well (But because the images are fuzzier, the observations may not be as clear.) A soda can or any cylindrical object that you can cover with aluminum foil is ok. After creating the cylindrical mirror, you may either color an already distorted image or print the polar grid below and create your own anamorphic art. ​ Images are taken from the book " The Magic Mirror: An Antique Optical Toy " How it works - MATH CONNECTION Phaeno Science Center, Wolfsburg /Germany Exploratorium, San Francisco /United States Making anamorphic drawings involves mechanically distorting an image by transferring the image from the square grid (the original image) onto a polar grid (distorted grid). ​ It is basically done by transforming each cartesian coordinate to the corresponding polar coordinate. ​ You can use any polar grid by printing to make your own drawings. For this example, after you complete your image on the polar grid, place your cylindrical mirror on the circle and look into the mirror to see the image restored. One might wonder what happens if we use a conical mirror instead of a cylindrical one! With a conical mirror, the image is spread out in a circular region all around the mirror creating a perfectly circular image. Did you hear about the mirror pillar? The Mirror Pillar is a giant 2m high cylindrical mirror, which reflects and distorts images from the ground around it to create beautiful anamorphic artworks. It provides a chance to interact with anamorphic images by drawing part of one, and discover the mathematics and geometry behind projected and distorted images. The Mirror Pillar is a math outreach project by mathematicians Matt Parker and Katie Steckles. ​ They also have an image converter where you can upload your original image and it converts to the distorted image on the polar grid. ​ Do not forget to check out the Mirror Pillar activities.

  • Pi Day | Math Fan

    Pi Day is celebrated on the 14th of March (3.14) around the world. Now it is also International Day of Mathematics. That's a fact that the Pi is the iconic number of mathematics, so there are plenty of websites & blogs, and zillions of activities out there to celebrate this day. ​ Here are some of my favorite activities I have used with the Middle School and Elementary School Students; Classroom Posters Free Download Fun Facts About Pi Free Download Calculating Pi Like Archimedes Free Download Pi Day Free Download Can't Stop Free Download Iconic Number Free Download Inspire! UNESCO announced Pi-Day as the International Day of Mathematics in 2019. ​ "Greater global awareness of mathematical sciences is vital to addressing challenges in areas such as artificial intelligence, climate change, energy, and sustainable development, and to improving the quality of life in both the developed and the developing worlds." ​ Do not forget to check out the International Day of Mathematics Page for the posters! 2020 - Mathematics is Everywhere. (The first-ever International Day of Mathematics) 2021 - Mathematics for a Better World . 2022 - Mathematics Unites. 2023 - Mathematics for Everyone Circles and Pi Course Best - Free - Online Interactive Pi Content First Pi Day Celebration in History A recipe for beating the record of most-calculated digits of pi Akira Haraguchi, 69, memorises π to 111,700 digits. Memorizing Pi How many decimals of pi (π) NASA-JPL scientists and engineers use when making calculations? Find your Birthday in Pi How old are you in Pi-years? Pi Planet. 6 Things You Probably Didn't Know About Pi by Wired Try to figure out how up to 612,330 digits are encoded in this picture! The Beauty of Pi Visualizing Pi by Ken Flerlage Art of Pi - 100 000 Digits of Pi Sound of Pi Do you wanna play Dart to calculate Pi? Pi Me A River Calculate Pi with Buffon’s Needles Plat Catch me if you can! to calculate Pi in t Taxicab Geometry Lunes (Crescents) of Hippocrates Pi in Rhind Papyrus Archimedes' Approximation of Pi Ramanujan's Strange Formula for Pi Estimating Pi using the Monte Carlo Method Pi o'clock and many more surprising problems by the mathedideas blog Join the Pi Day Challenge of NASA Pi TV Brilliant Pi Videos Pi TV Play Video Play Video 05:48 Calculating Pi with Darts Subscribe to Veritasium http://youtube.com/veritasium Instagram: http://instagram.com/thephysicsgirl Physics Girl: http://physicsgirl.org/ Facebook: http://facebook.com/thephysicsgirl Twitter: http://twitter.com/thephysicsgirl Help us translate our videos! http://www.youtube.com/timedtext_cs_panel?c=UC7DdEm33SyaTDtWYGO2CwdA&tab=2 Pi can be calculated using a random sample of darts thrown at a square and circle target. The problem with this method lies in attempting to throw "randomly." We explored different ways to overcome our errors. A million thanks to Derek Muller of Veritasium for his help with this video. http://youtube.com/veritasium. Also a huge thank you to Dan, Virginia, Lara and Cyrus for providing a yard. Play Video Play Video 06:28 Pi me a River - Numberphile How the length (and sinuosity) of rivers relates to Pi - featuring Dr James Grime. More links & stuff in full description below ↓↓↓ More on Pi from Numberphile: http://bit.ly/PiNumberphile The paper in Science (abstract): http://bit.ly/1m1j79B James Grime: http://singingbanana.com Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady Haran Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Numberphile T-Shirts: https://teespring.com/stores/numberphile Other merchandise: https://store.dftba.com/collections/numberphile Play Video Play Video 16:55 Calculating π by hand: the Chudnovsky algorithm For Pi Day 2018 I calculated π by hand using the Chudnovsky algorithm. https://en.wikipedia.org/wiki/Chudnovsky_algorithm k = 0 42698672/13591409 = 3.141592|751... k = 0 and k = 1 42698670.666333435968/13591408.9999997446 = 3.14159265358979|619... Watch me do the second term working out on my second channel: https://youtu.be/I7YvD7dqsy8 See me do the entire final calculation again (without a mistake) on Patreon: https://www.patreon.com/posts/17542566 Proof that I did actually do it properly: https://www.dropbox.com/s/64vc5iz7yt41r53/chudnovsky-pi-FIXED.pdf?dl=0 This was my attempt two years ago. Look at how much hair I had! https://www.youtube.com/watch?v=HrRMnzANHHs The Chudnovsky Brothers used their algorithm to be the champion pi calculators of the early 1990s: going from half a billion to four billion digits of pi. https://en.wikipedia.org/wiki/Chronology_of_computation_of_%CF%80 This video was filmed at Queen Mary University of London. CORRECTIONS - None yet. Let me know if you spot anything! Thanks to my Patreon supporters who enable me to spend a day doing a lot of maths by hand. Here is a random subset: Christopher Samples Sean Dempsey-Gregory Emily Dingwell Kenny Hutchings Rick de Bruijne Support my channel and I can make more videos: https://www.patreon.com/standupmaths Music by Howard Carter Filming and editing by Trunkman Productions Audio mastering by Peter Doggart Design by Simon Wright MATT PARKER: Stand-up Mathematician Website: http://standupmaths.com/ Maths book: http://makeanddo4D.com/ Nerdy maths toys: http://mathsgear.co.uk/ Play Video Play Video 08:24 Pi is Beautiful - Numberphile With thanks to Martin Krzywinski and Cristian Ilies Vasile - cool visualisers of Pi. More links & stuff in full description below ↓↓↓ Pi Visualisations (you can buy them too): http://bit.ly/PiBeauty Images used with permission. This video features Dr James Grime: https://twitter.com/jamesgrime More Pi videos from Numberphile: http://bit.ly/PiNumberphile Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady Haran Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Numberphile T-Shirts: https://teespring.com/stores/numberphile Other merchandise: https://store.dftba.com/collections/numberphile Play Video Play Video 18:40 The Discovery That Transformed Pi For thousands of years, mathematicians were calculating Pi the obvious but numerically inefficient way. Then Newton came along and changed the game. This video is sponsored by Brilliant. The first 314 people to sign up via https://brilliant.org/veritasium get 20% off a yearly subscription. Happy Pi Day! (for a few days ago...) References: Arndt, J., & Haenel, C. (2001). Pi-unleashed. Springer Science & Business Media — https://ve42.co/Arndt2001 Dunham, W. (1990). Journey through genius: The great theorems of mathematics. Wiley — https://ve42.co/Dunham1990 Borwein, J. M. (2014). The Life of π: From Archimedes to ENIAC and Beyond. In From Alexandria, Through Baghdad (pp. 531-561). Springer, Berlin, Heidelberg — https://ve42.co/Borwein2012 Special thanks to Alex Kontorovich, Professor of Mathematics at Rutgers University, and Distinguished Visiting Professor for the Public Dissemination of Mathematics National Museum of Mathematics MoMath for being part of this Pi Day video. Special thanks to Patreon supporters: Jim Osmun, Tyson McDowell, Ludovic Robillard, jim buckmaster, fanime96, Juan Benet, Ruslan Khroma, Robert Blum, Richard Sundvall, Lee Redden, Vincent, Lyvann Ferrusca, Alfred Wallace, Arjun Chakroborty, Joar Wandborg, Clayton Greenwell, Pindex, Michael Krugman, Cy 'kkm' K'Nelson, Sam Lutfi, Ron Neal Written by Derek Muller and Alex Kontorovich Animation by Ivy Tello Filmed by Derek Muller and Raquel Nuno Edited by Derek Muller Music by Jonny Hyman and Petr Lebedev Additional Music from https://epidemicsound.com "Particle Emission", "Into the Forest", "Stavselet", "Face of the Earth", "Firefly in a Fairytale" Thumbnail by Gianmarco Malandra and Karri Denise Play Video Play Video 15:16 Why do colliding blocks compute pi? Even prettier solution: https://youtu.be/brU5yLm9DZM Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: http://3b1b.co/clacks-thanks Home page: https://www.3blue1brown.com Many of you shared solutions, attempts, and simulations with me this last week. I loved it! You all are the best. Here are just two of my favorites. By a channel STEM cell: https://youtu.be/ils7GZqp_iE By Doga Kurkcuoglu: http://bilimneguzellan.net/bouncing-cubes-and-%CF%80-3blue1brown/ And here's a lovely interactive built by GitHub user prajwalsouza after watching this video: https://prajwalsouza.github.io/Experiments/Colliding-Blocks.html NY Times blog post about this problem: https://wordplay.blogs.nytimes.com/2014/03/10/pi/ The original paper by Gregory Galperin: https://www.maths.tcd.ie/~lebed/Galperin.%20Playing%20pool%20with%20pi.pdf For anyone curious about if the tan(x) ≈ x approximation, being off by only a cubic error term, is actually close enough not to affect the final count, take a look at sections 9 and 10 of Galperin's paper. In short, it could break if there were some point where among the first 2N digits of pi, the last N of them were all 9's. This seems exceedingly unlikely, but it quite hard to disprove. Although I found the approach shown in this video independently, after the fact I found that Gary Antonick, who wrote the Numberplay blog referenced above, was the first to solve it this way. In some ways, I think this is the most natural approach one might take given the problem statement, as corroborated by the fact that many solutions people sent my way in this last week had this flavor. The Galperin solution you will see in the next video, though, involves a wonderfully creative perspective. If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people. Music by Vincent Rubinetti. Download the music on Bandcamp: https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown Stream the music on Spotify: https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe Various social media stuffs: Website: https://www.3blue1brown.com Twitter: https://twitter.com/3blue1brown Reddit: https://www.reddit.com/r/3blue1brown Instagram: https://www.instagram.com/3blue1brown_animations/ Patreon: https://patreon.com/3blue1brown Facebook: https://www.facebook.com/3blue1brown Play Video Play Video 19:04 Why is pi here? And why is it squared? A geometric answer to the Basel problem A most beautiful proof of the Basel problem, using light. Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: http://3b1b.co/basel-thanks This video was sponsored by Brilliant: https://brilliant.org/3b1b Brilliant's principles list that I referenced: https://brilliant.org/principles/ Get early access and more through Patreon: https://www.patreon.com/3blue1brown The content here was based on a paper by Johan Wästlund http://www.math.chalmers.se/~wastlund/Cosmic.pdf Check out Mathologer's video on the many cousins of the Pythagorean theorem: https://youtu.be/p-0SOWbzUYI On the topic of Mathologer, he also has a nice video about the Basel problem: https://youtu.be/yPl64xi_ZZA A simple Geogebra to play around with the Inverse Pythagorean Theorem argument shown here. https://ggbm.at/yPExUf7b Some of you may be concerned about the final step here where we said the circle approaches a line. What about all the lighthouses on the far end? Well, a more careful calculation will show that the contributions from those lights become more negligible. In fact, the contributions from almost all lights become negligible. For the ambitious among you, see this paper for full details. If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people. Music by Vincent Rubinetti: https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe, and click the bell to receive notifications (if you're into that). If you are new to this channel and want to see more, a good place to start is this playlist: http://3b1b.co/recommended Various social media stuffs: Website: https://www.3blue1brown.com Twitter: https://twitter.com/3Blue1Brown Patreon: https://patreon.com/3blue1brown Facebook: https://www.facebook.com/3blue1brown Reddit: https://www.reddit.com/r/3Blue1Brown Play Video Play Video 17:17 Ramanujan's infinite root and its crazy cousins In this video I'll talk about Ramanujan's infinite roots problem, give the solution to my infinite continued fraction puzzle from a couple of week's ago, and let you in on the tricks of the trade when it comes to making sense of all those crazy infinite expressions. Featuring guest appearances by Vihart's infinite Wau fraction, the golden ratio and the Mandelbrot set. Here is a link to a screenshot of Ramanujan’s original note about his infinite nested radical puzzle: http://www.qedcat.com/misc/ram_incomplete.jpg Check out the following videos referred to in this video: https://youtu.be/jcKRGpMiVTw Mathologer video on Ramanujan and 1+2+3+...=-1/12. This one also features an extended discussion of assigning values to infinite series in the standard and a couple of non-standard ways https://youtu.be/CaasbfdJdJg Mathologer video on infinite fractions and the most irrational of all irrational numbers. https://youtu.be/9gk_8mQuerg Mathologer video on the Mandelbrot set. The second part of this one is all about a supernice way of visualising the infinite expression at the heart of this superstar. https://youtu.be/GFLkou8NvJo Vi Hart's video on the mysterious number Wau, a must-see :) Enjoy :) Play Video Play Video 23:20 Pi is IRRATIONAL: animation of a gorgeous proof NEW (Christmas 2019). Two ways to support Mathologer Mathologer Patreon: https://www.patreon.com/mathologer Mathologer PayPal: paypal.me/mathologer (see the Patreon page for details) This video is my best shot at animating and explaining my favourite proof that pi is irrational. It is due to the Swiss mathematician Johann Lambert who published it over 250 years ago. The original write-up by Lambert is 58 pages long and definitely not for the faint of heart (http://www.kuttaka.org/~JHL/L1768b.pdf). On the other hand, among all the proofs of the irrationality of pi, Lambert's proof is probably the most "natural" one, the one that's easiest to motivate and explain, and one that's ideally suited for the sort of animations that I do. Anyway it's been an absolute killer to put this video together and overall this is probably the most ambitious topic I've tackled so far. I really hope that a lot of you will get something out of it. If you do please let me know :) Also, as usual, please consider contributing subtitles in your native language (English and Russian are under control, but everything else goes). One of the best short versions of Lambert's proof is contained in the book Autour du nombre pi by Jean-Pierre Lafon and Pierre Eymard. In particular, in it the authors calculate an explicit formula for the n-th partial fraction of Lambert's tan x formula; here is a scan with some highlighting by me: http://www.qedcat.com/misc/chopped.png Have a close look and you'll see that as n goes to infinity all the highlighted terms approach 1. What's left are the Maclaurin series for sin x on top and that for cos x at the bottom and this then goes a long way towards showing that those partial fractions really tend to tan x. There is a good summary of other proofs for the irrationality of pi on this wiki page: https://en.wikipedia.org/wiki/Proof_that_π_is_irrational Today's main t-shirt I got from from Zazzle: https://www.zazzle.com.au/25_dec_31_oct_t_shirt-235809979886007646 (there are lots of places that sell "HO cubed" t-shirts) lf you liked this video maybe also consider checking out some of my other videos on irrational and transcendental numbers and on continued fractions and other infinite expressions. The video on continued fractions that I refer to in this video is my video on the most irrational number: https://youtu.be/CaasbfdJdJg Special thanks to my friend Marty Ross for lots of feedback on the slideshow and some good-humoured heckling while we were recording the video. Thank you also to Danil Dimitriev for his ongoing Russian support of this channel. Merry Christmas! Load More Shop π ng for π Mathfan is a participant in the Amazon Services LLC Associates Program, an affiliate advertising program designed to provide a means for us to earn fees by linking to Amazon.com and affiliated sites. SHOP SHOP SHOP SHOP SHOP SHOP SHOP SHOP SHOP SHOP SHOP SHOP SHOP SHOP SHOP SHOP

  • 3D Printed Math | Math Fan

    Mathfan Shop Read. Watch. Play. Explore. Create Books Young Readers Mathflix P+ Games Toys and Gadgets 3D Models 3D PRINTED MATH If you have access to a 3D Printer, try printing toys, gadgets, puzzles, and math manipulatives. ​ Creativity is a major part of growing up, and 3D printed toys can let kids express that. Everyone can design 3D models to print or visit websites like Thingiverse to find free models to customize or print directly. You can support the designer by clicking the tip the designer button. Do not worry that if you cannot 3D print, you can still purchase the one-of-a-kind 3D models. Fractals by henryseg Hilbert Curve One of the models mentioned in the Visualizing Mathematics with 3D Printing Book. You can use it to display iterations of HC View More Topology by henryseg Topology Joke One of the models mentioned in the Visualizing Mathematics with 3D Printing Book by Henry Segerman View More Pyramids & Cone by mrbenbritton Height vs Slant Height A set of pyramids and a cone which have had slices taken out to help students identify the hidden triangles. View More Knots by mathgrrl Knots 3D printed conformations of the fifteen knots through seven crossings View More Scutoids by mathgrrl Pair of Packable Scutoids Scutoids are a geometrical solution to 3D packing of epithelia in the journal Nature. View More Cone by IronOxide Conic Sections A horizontal slice reveals the circle, a slanted reveals the ellipse, a vertical reveals the hyperbola, and a slanted vertical cut reveals the parabola. View More Pythagorean Thm by Freakazoid Proof of the Theorem Use the given regions to cover the squares to prove Pythagoras Theorem ​ ​ View More Illusion by KazukiYamamichi Straight vs Curve Straight bar goes through curved slit ​ View More Klein Bottle by MadOverlord Klein Bottle This special 3D shape with only one surface. ​ ​ View More Reuleaux Shapes by roklobster04 Solids of Constant Width These shapes have the same width (height) no matter how they are rotated or rolled. View More Puzzle by Juanill0 Puzzle 365 Famous Puzzle 365 - use petrominoes to cover all the numbers except today's date. View More Fidgets by JustinSDK Curves of Pursuits 3D Models of fidgets which can also be used to display the curves of pursuit. ​ View More Sierpinki Pyramid by ricktu 3D Fractal Watch the horizontal cross-sections when forming the pyramid. ​ View More Pentagons by mathgrrl All Tessellating Pentagons 15 types of non- regular tessellating pentagons View More Platonic Solids by XYZAidan Foldable Polyhedra oldable versions of your favorite regular 3D shapes, the five Platonic Solids! View More Menger Slices by mathgrrl Slices of Menger Cube Three different diagonal slice models of a level 2 Menger sponge. ​ ​ View More Two Circle Roller by AJsRaceway Oloid-like shape When it rolls, every point on its surface touches the ground ​ View More Hinged Square by jonco223 Square & Triangle Transformation inged triangle-square dissection (Dudeney's dissection) ​ View More Mobius Strip by dennedesigns Mobius Strip 5 half-twists 2 sided but one surface special shape View More Impossible Triangle by Tomonori 3D Optical Illusion A triangle with three 90 degrees angle View More Inclinometer by ChrisX35 Hypsometer Usually called inclinometer. It is used to find the height of the objects using trigonometry. View More Pyramids & Cube by ereiser Volume Formula Can be used to prove the volume ratio between a cube and a square pyramid. ​ View More Cipher by ereiser Cryptography Students learn about the Caesar Cipher. They practice encoding and decoding messages using a decoder ring. View More Brachistochrone by Taevinrude Brachistochrone Curve Demonstration Which is the fastest possible path a ball can take when falling between two points? View More Trammel by lgbu Trammel of Archimedes A geometric structure for constructing ellipses or exploring mathematical relations View More (A+B)^3 by eashwarps Binomial Expansion A model for the binomial expansion of the cube of the sum of a and b. ​ ​ View More Illusion by dietervdf Perspective 3D object w/ the top view is a circle, the front view is a triangle and the side view is a square. View More 64=65 by althepal Slope Puzzle 64=65 Rearrange the pieces, and the area seems to change. How can that happen? View More Squarcle by PhilKloppers 3D Optical Illusion he Squarcle is a 3D optical illusion based on the work of Kokichi Sugihara View More Golden Ratio by stephenplace Golden Ratio Spiral A key ring of Fibonacci - Golden Ratio spiral View More Book Recommendation; Visualizing Mathematics with 3D Printing by Henry Segerman

  • Math Posters | Math Fan

    Displays Math Boards Math Posters Math Class Floor Prints Math Cabinet Math Park MATH POSTERS Fun Math Fan Posters Free Download Collect 100 Free Download Collatz Conjecture Free Download Goldbach Conjecture Free Download Spiral of Theodorus Free Download Pyhthagorean Theorem Day Free Download World Oceans Day Free Download Star Wars - Astronomy II Free Download Binomial Cube Free Download Infinity Hotel Free Download Egyptian Fractions Free Download Number of Triangles Free Download String Art Free Download Katherine Johnson Free Download Sierpinski Triangle Free Download Ada Lovelace Free Download Pi Day Free Download Multiplication Table Free Download Iconic Number Free Download Notice & Wonder Free Download Similar & Different Free Download Fun Facts - Pi Free Download Marie Curie Free Download Square Root Day Free Download Star Wars - Astronomy I Free Download Kite Squares Free Download Measurements Free Download 17 Symmetry Groups Posters for Square Ceiling Tiles ​ Here is an example of the ceiling transformation. Click here for the prints of square ceiling tiles of the math classrooms. There are more than 60 different free posters in the file as a pdf document. ​ ​ Women in Mathematics (FREE) Poster Collection Free Posters Celebrating Women Role Models in Science, Technology, and Math by A MIGHTY GIRL . Visit her website to download these marvelous posters. Plus Posters Math Welcome Poster Banner Visit the great math blog M+A+T+H= love by Sarah Carter to see all the math posters she has created and download the Mathy Letters Poster Set created by + Plus Magazine (free) Mathematics Timeline Poster by Mathigon Visit Mathigon Gift Store to purchase the Timeline of Mathematics Poster Numberphile Poster Collection Visit Numberphile Merchandise to purchase one of a kind Math posters Fractal Posters Mandelmap Fractal Poster by Bill Tavis You can buy the poster in two different sizes from Amazon . To purchase: Here are some links where you can purchase mathematical posters; Nasco Education Tarquin Group Amazon

  • Puzzles and Games | Math Fan

    Mathfan Shop Read. Watch. Play. Explore. Create Books Young Readers Mathflix P+ Games Toys and Gadgets 3D Models Puzzles and Games 21st Century Pattern Blocks Explore Eight different shapes and colors for endless possible creations by Math for Love Buy on Amazon ​ Talking Math with Kids Shop Buy tiling turtles, Truchet Blocks, and Christopher’s books Which One Doesn’t Belong? and How Many? Buy on Talking Math with Kids Shop ​ Turing Machine Preorder today! Expected release November 16, 2022! Buy on Labyrinthdc ​ Mondrian Blocks A game where math meets wıth Art Buy on Amazon ​ Mosaic Mysteries Puzzle Arrange mosaic tiles on a 2D plane in a way to make them seen as 3D. Buy on Amazon ​ Q-bitz Practice your symmetry, visual dexterity, quick thinking, spatial reasoning and memory skills. Buy on Amazon ​ The Genius Square STEM puzzle game with the combination of dice, location of the blockers Buy on Amazon ​ Tangram Puzzles Bubble Pop Tangram pieces with the Tangram Puzzles Book Buy on Amazon ​ Star Wars Chess Set A collectible - dark and light sides on the chess table. May the force with you. Buy on Amazon ​ Picasso Tiles Puzzle A 3D Puzzle promotes logic training, critical thinking, problem-solving, and hand-eye coordination skills. Buy on Amazon ​ Mancala Invented thousands of years ago, Mancala is one of the world's favorite games of counting and strategy. Buy on Amazon ​ Amazing Inventions Hands-on building projects that explore Da Vinci's invention ideas Buy on Amazon ​ Go - magnetic set Magnetic 19x19 Go Game Set Board Buy on Amazon ​ Crystallized A challenging board game for 2-4 players Buy on Amazon ​ Brain Games - I What is the most complex super computer;? The answer is really close to you! Buy on Amazon ​ ZomeTool - Kepler Cosmos German mathematician, astronomer Johannes Kepler's universe model made up of 5 platonic solids. Buy on Amazon ​ Snake Cube Fidget Snake puzzles can turn into any shape, you can combine them to create bigger shapes. Buy on Amazon ​ Number Slide The goal is to reposition the squares from a given arbitrary position by sliding them one at a time. Buy on Amazon ​ Hanoi Tower It repetitive sequential that allows moving one piece at a time and are only allowed to place a smaller piece on top of a larger piece. Buy on Amazon ​ ISS LEGO Ideas Series - International Space Station model Buy on Amazon ​ The Genius Square Game of The Year Award Winner! Roll The Dice & Race Your Opponent to Fill The Grid! Buy on Amazon ​ Rock me Archimedes Suspense-filled balancing game that tests players’ strategic thinking. Buy on Amazon ​ Battleship Introduction to Coordinate Plane and ordered pairs concepts Buy on Amazon ​ Color Code Challenge yourself wıth this visual perception game. Buy on Amazon ​ Genius Star Star version is even more challenging than the famous Genius square game Buy on Amazon ​ Tri-facta Multiplication Practice multiplication and division - a 3 people board game Buy on Amazon ​ Pattern Explorer 1 Book - diverse collections of pattern problems for students to explore, investigate, discover, and create. Buy on Amazon ​ String Art Create amazing geometric patterns - Set of 3 frames - 20, 30 and 40 points with frames of 15 cm diameter. Buy on Amazon ​ Quoridor Abstract strategy game for ages 8+ Buy on Amazon ​ Numbers & Letters Tangram Pattern Blocks Magnetic Jigsaw Puzzle with 24 Pcs Design Cards. Buy on Amazon ​ Magnetic Soma Cube A 3D Puzzle - Set of 7 Multi Shapes Magnetic Blocks with 54 Guide Cards. Buy on Amazon ​ Kanoodle - mini A 3D Puzzle Game, Over 200 Challenges Buy on Amazon ​ Geomag Magnetic Toys to build 3D Solids and explore 3D geometry Buy on Amazon ​ Buildables BUILD your own Spin Art Station with step-by-step instructions Buy on Amazon ​ Brain Games - II Book - full of puzzles, optical illusions, cranial challenges, and information on researches in neuroscience Buy on Amazon ​ The Shape-Shifting Box 3D Magnetic Transforming Magnetic Box Magic Cube - You can combine four of them to create other 3d shapes. Buy on Amazon ​ Hexagon n Puzzle Hexagon puzzle has many different solutions, Each card has hints for a different solution. Buy on Amazon ​ Soma Cube Each card has a building shape challenge on one side, and the solution on the other side. Buy on Amazon ​ Marble Run Marble Run for chain reactions by National Geographic Buy on Amazon ​ K'nex Levers & Pulleys Model- to build 3 unique lever or pulley models: a balance, a wheelbarrow and a Sailboat Buy on Amazon ​ Prime Climb Explore mathematical structure in multiplication, division, and prime numbers by Math for Love Buy on Amazon ​ Chain Reaction Sets by Zig Go Build different layouts and tracks, then start the action and watch the reactions. Buy on Amazon ​ Q.bitz Jr Pattern identification game for younger players (1-4 players) Buy on Amazon ​ Harry Potter Trivia Game Only If you are a true HP fan Buy on Amazon ​ Mastermind A Strategy game for kids to explore the concepts of probability, deductive reasoning, and logic Buy on Amazon ​ Da Vinci Clock Model - Reproduction of a clock based on an escapement sketched by Leonardo da Vinci Buy on Amazon ​ Pattern Explorer 2 Book - diverse collections of pattern problems for students to explore, investigate, discover, and create. Buy on Amazon ​ Shot the Box Excellent tool for teaching basic addition Buy on Amazon ​ Sequence A strategy game for ages 7+ Buy on Amazon ​ Pattern Blocks A toy that every kid needs to have -Explore shapes, relations, fractions, symmetry, area measurement, and more Buy on Amazon ​ Logic Puzzles Book - 60 Clever Brain Games and Puzzles Buy on Amazon ​ Lego Chess Set A collectible for lego and chess lovers Buy on Amazon ​ Domino Set - 1000 pc Colorful Dominos Tiles for Building, Stacking, Racing, Tumbling. Buy on Amazon ​ Reversi A classical game also known as Othello - magnetic version Buy on Amazon ​ Connect Four One of the most famous strategy games in the world. Buy on Amazon ​ Rainbow Puzzle Ball A color matching game for kids. You push the colored balls around to match their color with the ring outside. Buy on Amazon ​ 3D Labyrinth Puzzles A toy for hands & eyes coordination and balance, spatial cognition, focus, observes ability and patience training. Buy on Amazon ​ Archemedes Puzzle Incredibly difficult and one of the oldest known puzzles and attributed to the great Archimedes. Buy on Amazon ​ Chinese Checkers Traditional Strategy Board Game with Set of 60 Colorful Marbles Buy on Amazon ​ We are a participant in the Amazon Services LLC Associates Program, an affiliate advertising program designed to provide a means for us to earn fees by linking to Amazon.com and affiliated sites.

  • iBooks | Math Fan

    iBooks Below are the samples of the iBooks I have created by using iBooks Author and BookWidgets and Bookry foır the grade 8 math curriculum. You can download and review on your IOS and MAC devices if you have the iBooks app.

  • Math Classes | Math Fan

    Displays Math Boards Math Posters Math Class Floor Prints Math Cabinet Math Park MATH CLASSROOM Seeing the Classroom from a Student’s Perspective The only true rule for a creative classroom is that it accommodates several learning approaches. So the real focus is the flexibility of the class design. Versatile seating options, mobile furniture, and welcoming classroom displays are all coming together to allow for independent, partner, group, and collaborative learning. ​ According to Cheryn et al. (2014) “… scientific studies reveal the unexpected importance of a classroom’s symbolic features, such as objects and wall décor, in influencing student learning and achievement in that environment. Symbols inform students whether they are valued learners and belong within the classroom, with far-reaching consequences for students’ educational choices and achievement.” ​ Here are some tips for a creative classroom design; ​ ​ Choose furniture that can be easily moved - classroom spaces should be FLEXIBLE, rather than static Designate different areas of the room to be used for varied learning activities Decorate with the students’ artwork, poetry, or projects. This helps them to find their place in the class community and to feel ownership over the space. ​ ​ Two websites to try different seating arrangements for your classroom; Classroom Architect and Class Set-up Tool ​ Welcome Banners Ready-to-print Welcome Banners with different fonts. ​ docx. pdf. Resources Mathematical Letters Mathonyms is a webpage that re-writes your entry using mathematical letters. Desmos Alphabet Letter Graphs by Desmos Polypad Tangram Letters Letters and Digits made up of tangram pieces on Polypad Math Clocks And here is another option; A model clock by Leonardo Da Vinci. There are many different math clocks around that you can add to your wıshlist or purchase. ​ Buying an empty clock and creating the clock as a class project can be another option. You can find the lesson plan here . Math Calendar You can create a math calender as a long term project with students or buy one that provides a math challenge for every day of the year. Doors to Welcome Students You can start giving clues about the theme of your classroom with an inspiring door design. I chose the Movie " Matrix " as a theme of my classroom, whereas another math teacher who is also a famous travel blogger (IG: @nilyesiliyollar) designed her class door with a world map shows the places of the math museums all around the world. Matrix Theme You can use movie posters to decorate the class doors. World Map Use a world map on the class door to promote the math / science museums or the birth places of famous mathematicians. Pi Number Listing the digits of the iconic Pi number on the math class door. Math Cartoons Math memes and cartoons are very popular among students, so why not use them as door decor! ​ Book Cover Book Covers can be math class doors as well as the Language Class Doors. Word Door An interactive word-door can replace word walls for math classes. ​ ​ Classroom Posters and Manipulatives Here are the pages you can find more ideas to create a welcoming, motivating and inspiring classroom. Displays Math Walls Math Posters Math Cabinet

  • Star Wars Math | Math Fan

    Math Fan Content Lessons Tasks Math Club Projects Math @ Home Math Magic Games & Puzzles Math & Art STAR WARS MATH Light Saber Duel with Desmos - Graphing ​ Here is a sample file you can use to create a lightsaber dual on Desmos. I have added PNG images of lightsabers and connected them to the trigonometric functions. You may ask students to write the functions they like to create a fight scene. You may also remind them that it is better to increase the number of intersection points between the graphs for a better duel. Then, you may discuss the properties of the graphs they choose. ​ Star Wars Battleship Game with Polypad - Ordered Pairs ​ Dark Side Polypad vs Light Side Polypad The rules are almost the same as the original Battleship game. Group students in pairs. One side chooses to be the dark side, where as the other is the light side. The Dark Side player needs to set the dark mode ON from the personal settings on the upper right corner. ​ Instructions Arrange your ships on the Grid. (Ships cannot overlap, cannot be re-sized) Light Side has 4 ships; 4x4 Millenium Falcon (Your opponent has to guess all 16 points correctly to destroy the ship) 3x3 X-Wing (Your opponent has to guess all 9 points correctly to destroy the ship) 3x3 Starfighter (Your opponent has to guess all 9 points correctly to destroy the ship) 3x4 Ghost (Your opponent has to guess all 12 points correctly to destroy the ship) Dark Side has 4 ships as well; 4x4 Death Star (Your opponent has to guess all 16 points correctly to destroy the ship) 3x3 Emperor's Shuttle (Your opponent has to guess all 9 points correctly to destroy the ship) 3x4 Star Destroyer(Your opponent has to guess all 12 points correctly to destroy the ship) 3x3 Tie Fighter (Your opponent has to guess all 9 points correctly to destroy the ship) Take turns calling "shots" at the other player's ships to destroy your opponent’s fleet. Each shot will be announced with an ordered pair. For example (3,5) The opponent announces whether it is a hit or miss. If it is a "hit," the player who got hit colors that point red on the ship. Do not forget to record your shots on the tracking grid. When all the points of a ship have been hit (turned red), the ship's owner announces the name of the lost ship. For example, here, the Tie Fighter of the Dark Side has fallen. Destroy the entire fleet of your opponent to win the game. May the FORCE be with you! Paper Circuits Activity by Makerspace ​ This fun STEAM activity has many different options like creating Christmas tree lights and etc. In the Lightsaber version, you need to download the 2-page paper circuit template and print both-sided. The extra materials are Conductive copper tape Transparent tape Coin cell battery -3v LED LilyPad button board Straw Scissors You may also purchase the paper circuit kit from the Makerspace website and follow the instructions. ​ Darth Vader vs Yoda - Symmetry I recently found this little symmetry magic box on Amazon , which can easily be turned into a STEAM activity/project. The materials are; a cardboard box, green and black playdough, and a small double-sided mirror which has the sidelengths ; one side has the same as the box the other has a sidelength equal to the face diagonal of the box. You may discuss the plane symmetries of a cube and the properties of reflection using this activity. Using double-sided mirrors is a great part of many illusions. You may also ask students to create their own magic tricks using double-sided mirrors.​ ​ ​ Check out these great resources abot Star Wars themed STEAM activities NASA Land a Spacecraft on Target Activity CODE.ORG Building a Galaxy With Code Activity STAR WARS Motivational Posters Parallax Angle and Parsecs You may also use Star Wars to talk about the concept like indirect measurement using Trigonometry, 'Parallax angle '. And units used in astronomy like astronomical unit (AU) light-years, parsecs. Here is a mini- activity about the parsecs and the parallax angle usage in Astronomy. Congruency and Similarity with Stormtroopers The army of Stormtroopers can also be used to explore the concepts of Congruency and Similarity. Here is an iBook you can download free and open in your iOS or MAC devices. Free Star Wars Stickers - PDF

  • Math Park | Math Fan

    Displays Math Boards Math Posters Math Class Floor Prints Math Cabinet Math Park Math Park & Math Playground Playgrounds are the best places to explore math and physics. There are fantastic opportunities with classical structures like swings, slides, and seesaws. (Do not forget to check out the playground math page.) But we can still up our game by adding some extra elements? Here are some ideas: Königsberg Bridges Click the image for the details of the mini-park to teach the kids one of the most iconic problems of Mathematics by playing on it. Math Swing June 2011 AD Campaign by Cramer-Krasselt to raise awareness of the positive impact parents' involvement with their child's education. Hundred Chart Visit the webpage " 30+ Things to do with a hundred Chart " Math hopscotch Draw a hopscotch game of equivalent fractions Scientific Seesaw A seesaw with an adjustable pivot or a Stand-up seesaw where you can practice balancing laws. Lever Lift Simple Machines at Play Exhibition at Science City’s exhibit space by Burns & McDonnell Giant lever Science Exhibition at Pacific Science Center Clinometer (Hypsometer) Install a clinometer as an indirect measurement tool Simple Machines Simple Machines - Pulley Exhibition in Germany Klein Bottle at park A Maze-like life size version of Klein Bottle where you can go in and out.(Display from Phaeno Museum) Simple Machines - Pulleys Simple Machines - Pulley Exhibition in Germany Weight on Moon Sign June 2011 AD Campaign by Cramer-Krasselt to raise awareness of the positive impact parents' involvement with their child's education. Math Mazes Math Maze Mats (Indoor / Outdoor) Giant Hanoi Tower You can try to solve the famous Hanoi Puzzle using giant foam rings. Playground dome This color coded version shows the vertices of degree 6 with blue, degree 5 with red .. Fibonacci Park Check out the website to see panels featuring other representations of the Golden Ratio to bring the theme to life. Mobius at park A 3D version of Mobius Strip can be used as a racetrack for magnetic cars. (Display from Phaeno Museum) Sundial You can even make a sundial on your own as a STEAM project to install outdoor.

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