tag:blogger.com,1999:blog-5183116532413220472018-09-16T20:36:44.536-07:00Math in Real Life and The Language of MathematicsThe Language of Mathematics for those who want to use Math in Real Life.chychohttp://www.blogger.com/profile/00178151933681850473noreply@blogger.comBlogger134125tag:blogger.com,1999:blog-518311653241322047.post-6346797867465369432015-09-22T07:57:00.000-07:002015-09-22T07:57:13.791-07:00How to Study: Tip #6: When Doing Algebra, Recognize the Problem, Remember the Pattern (The Language of Mathematics #162) <em>Table of Contents: <strong><a href="http://languageofmathematics.blogspot.ca/2012/02/language-of-mathematics-table-of.html">Language of Mathematics</a></strong> and <strong><a href="http://languageofmathematics.blogspot.ca/2012/04/math-in-real-life-table-of-contents.html">Math in Real Life</a></strong></em> <iframe width="420" height="236" src="https://www.youtube.com/embed/wzzGDvuvF-Y" frameborder="0" allowfullscreen></iframe>chychohttp://www.blogger.com/profile/00178151933681850473noreply@blogger.com0tag:blogger.com,1999:blog-518311653241322047.post-80017676829640381282015-09-08T12:11:00.001-07:002015-09-08T12:18:35.080-07:00How to Study: Tip #5: 20 Steps to Reading a Textbook (Language of Mathematics #161) <em>Table of Contents: <strong><a href="http://languageofmathematics.blogspot.ca/2012/02/language-of-mathematics-table-of.html">Language of Mathematics</a></strong> and <strong><a href="http://languageofmathematics.blogspot.ca/2012/04/math-in-real-life-table-of-contents.html">Math in Real Life</a></strong></em> <iframe width="420" height="236" src="https://www.youtube.com/embed/7wXMpoNUMt0?list=PLhbULq_vSrGXuxa48R0ssuHcDpukxLyPN" frameborder="0" allowfullscreen></iframe> <br /><br /><h3>20 Steps to Reading a Textbook</h3> <ol><li>Familiarize yourself with the Table of Contents. <li>Use the Index to navigate the book. <li>Scan Footnotes. <li>Read the Introduction/Preface/Conclusion. <li>Know what's in the Appendix. <li>Read the Titles/Subtitles/Headers. <li>Read and learn from the Examples. <li>Read/understand Bold/Italic/Highlighted text. <li>Spend time understanding graphics/visuals. <li>Make note of formulas that are numbered. <li>Check your work as you do it (one at a time). <li>Read/review everything in the side columns. <li>Always read first & last paragraphs of sections. <li>Read first sentence of every paragraph. <li>Read last/middle sentences of large paragraphs. <li>Read the text before and after a formula. <li>Read new concepts in detail, i.e., take your time. <li>Read introduction and conclusion of chapters. <li>If you need to, highlight/take notes in the textbook. <li>Enjoy it. Savor it. Cherish the opportunity to read. </ol><br />chychohttp://www.blogger.com/profile/00178151933681850473noreply@blogger.com0tag:blogger.com,1999:blog-518311653241322047.post-29533493073378749262015-08-28T13:33:00.002-07:002015-08-28T13:33:38.935-07:00How to Study: Tip #4: Create a Schedule, Put Together a To Do List (Language of Mathematics #160) <em>Table of Contents: <strong><a href="http://languageofmathematics.blogspot.ca/2012/02/language-of-mathematics-table-of.html">Language of Mathematics</a></strong> and <strong><a href="http://languageofmathematics.blogspot.ca/2012/04/math-in-real-life-table-of-contents.html">Math in Real Life</a></strong></em> <iframe width="420" height="236" src="https://www.youtube.com/embed/KNdXLJ0XJXE?list=PLhbULq_vSrGXuxa48R0ssuHcDpukxLyPN" frameborder="0" allowfullscreen></iframe>chychohttp://www.blogger.com/profile/00178151933681850473noreply@blogger.com0tag:blogger.com,1999:blog-518311653241322047.post-27896054841415882662015-08-25T10:41:00.002-07:002015-08-25T10:41:54.156-07:00How to Study: Tip #3: Find Your Happy Space (Language of Mathematics, Series IVb, #159) <em>Table of Contents: <strong><a href="http://languageofmathematics.blogspot.ca/2012/02/language-of-mathematics-table-of.html">Language of Mathematics</a></strong> and <strong><a href="http://languageofmathematics.blogspot.ca/2012/04/math-in-real-life-table-of-contents.html">Math in Real Life</a></strong></em> <iframe width="420" height="236" src="https://www.youtube.com/embed/f5LtyGzI4yg" frameborder="0" allowfullscreen></iframe>chychohttp://www.blogger.com/profile/00178151933681850473noreply@blogger.com0tag:blogger.com,1999:blog-518311653241322047.post-68548674238296269742015-05-12T06:31:00.002-07:002015-05-12T06:31:40.127-07:00How to Break a Line into Pieces, Odd and Even, Visualizing Fractions (Language of Mathematics #158) <em>Table of Contents: <strong><a href="http://languageofmathematics.blogspot.ca/2012/02/language-of-mathematics-table-of.html">Language of Mathematics</a></strong> and <strong><a href="http://languageofmathematics.blogspot.ca/2012/04/math-in-real-life-table-of-contents.html">Math in Real Life</a></strong></em><iframe width="420" height="236" src="https://www.youtube.com/embed/EKSJ7wmfQQo" frameborder="0" allowfullscreen></iframe>chychohttp://www.blogger.com/profile/00178151933681850473noreply@blogger.com0tag:blogger.com,1999:blog-518311653241322047.post-91225316547566513842015-01-28T08:57:00.000-08:002015-01-28T08:57:55.701-08:00Food and Farming, Part 9: Update, January 2015 (Mathematics of Farming, Math in Real Life) <em>Table of Contents: <strong><a href="http://languageofmathematics.blogspot.ca/2012/02/language-of-mathematics-table-of.html">Language of Mathematics</a></strong>, <strong><a href="http://languageofmathematics.blogspot.ca/2012/04/math-in-real-life-table-of-contents.html">Math in Real Life</a></strong></em><iframe width="420" height="236" src="https://www.youtube.com/embed/vyDObDofa8g" frameborder="0" allowfullscreen></iframe><ul><br /><strong> La Belle Besogne Farm </strong><br /><strong><a href="http://labellebesognefarm.weebly.com"> labellebesognefarm.weebly.com</a></strong><br /></ul>chychohttp://www.blogger.com/profile/00178151933681850473noreply@blogger.com0tag:blogger.com,1999:blog-518311653241322047.post-31852281327676978642014-12-18T12:15:00.000-08:002014-12-18T12:15:52.785-08:00Learning Your Multiplication Table: Two Hand Tricks (Language of Mathematics #157) <em>Table of Contents: <strong><a href="http://languageofmathematics.blogspot.ca/2012/02/language-of-mathematics-table-of.html">Language of Mathematics</a></strong> and <strong><a href="http://languageofmathematics.blogspot.ca/2012/04/math-in-real-life-table-of-contents.html">Math in Real Life</a></strong></em> <iframe width="420" height="236" src="//www.youtube.com/embed/rFCom6nU30s" frameborder="0" allowfullscreen></iframe>chychohttp://www.blogger.com/profile/00178151933681850473noreply@blogger.com0tag:blogger.com,1999:blog-518311653241322047.post-20078498624958620552014-09-29T07:49:00.000-07:002014-10-03T07:17:09.785-07:00Infinity, Part 1 to 3: Until the End of Time and the Universe Explodes; Limits and Asymptotes, Visualizing Infinity; Going Halfway, Travelling from A to B Forever (The Language of Mathematics, Series IVb, #154 to #156) - UPDATE 2As a follow-up to one of the first videos that I produced for <strong><a href="http://languageofmathematics.blogspot.ca/2012/02/language-of-mathematics-table-of.html">The Language of Mathematics</a></strong>, the <strong><a href="http://languageofmathematics.blogspot.ca/2012/03/zero-and-infinity-introduction-to.html">2007 teaser video regarding Zero and Infinity</a></strong>, below you will find three additional videos discussing the concept of infinity in more detail. The original teaser video is also embedded. <br /><br /> <center><h4> My Two Infinities, Part 1: Until the End of Time and the Universe Explodes (Language of Math #154) </h4></center><iframe width="420" height="236" src="//www.youtube.com/embed/Y9bX30PdAF0?rel=0" frameborder="0" allowfullscreen></iframe><br /><br /><center><h4> My Two Infinities, Part 2: Limits and Asymptotes, Visualizing Infinity on a Graph (Language of Math #155) </h4></center><iframe width="420" height="236" src="//www.youtube.com/embed/Df63DMg4nps" frameborder="0" allowfullscreen></iframe><br /><br /><center><h4> My Two Infinities, Part 3: Going Halfway, Travelling from A to B until Reaching the Planck Length (Language of Math #156) </h4></center><iframe width="420" height="236" src="//www.youtube.com/embed/ddGoi2ljmp0?list=PLhbULq_vSrGU8bzwZrF62KoB8dJRD2h66" frameborder="0" allowfullscreen></iframe><br /><br /><center><h4> The Language of Mathematics (5): Zero and Infinity </h4></center><iframe width="420" height="236" src="//www.youtube.com/embed/ZrqcogYylpY" frameborder="0" allowfullscreen></iframe>chychohttp://www.blogger.com/profile/00178151933681850473noreply@blogger.com0tag:blogger.com,1999:blog-518311653241322047.post-83475618477011096182014-04-28T07:08:00.000-07:002014-04-28T07:08:35.626-07:00The Beauty of Dice, Part 1: Probability Distribution for the Sum of Two 6-sided Die (Math in Real Life) <em>Table of Contents: <strong><a href="http://languageofmathematics.blogspot.ca/2012/02/language-of-mathematics-table-of.html">Language of Mathematics</a></strong>, <strong><a href="http://languageofmathematics.blogspot.ca/2012/04/math-in-real-life-table-of-contents.html">Math in Real Life</a></strong></em> <iframe width="420" height="236" src="//www.youtube.com/embed/hsCHqPrdTi0" frameborder="0" allowfullscreen></iframe>chychohttp://www.blogger.com/profile/00178151933681850473noreply@blogger.com0tag:blogger.com,1999:blog-518311653241322047.post-76358340632735497202014-02-14T07:44:00.001-08:002014-02-14T07:44:44.812-08:00A Blast from the Past: The Language of Mathematics on Google Maps Street ViewWinter is nearly at an end, spring is in the air, and it’s almost time to do some math. I’ve been gearing up to start producing another full season of math videos for <strong><a href="http://languageofmathematics.blogspot.ca/2012/02/language-of-mathematics-table-of.html">The Language of Mathematics</a></strong> and <strong><a href="http://languageofmathematics.blogspot.ca/2012/04/math-in-real-life-table-of-contents.html">Math in Real Life</a></strong>. There is a lot planned for 2014 so it should be a nice full year of some math goodness. <br /><br />Once the weather warms up and the consecutive days of rain cease, we’ll be heading out with the camcorder and the tripod to find some nice walls where we can continue working on <strong><a href="http://languageofmathematics.blogspot.ca/2012/02/language-of-mathematics-table-of.html#IVa:">Series IV</a></strong> as well as producing some videos on a few random and not-so-random topics. A lot more on that later. For now, I’d like to share a little blast from the past. <br /><br />A few weeks ago, while a friend was surfing Street View of Vancouver on Google Maps she came across one of my favorite walls in the city, and it so happens to have captured one of my handiworks from the math videos. <br /><br />The site has some sentimental value for me. It’s the first wall I used when I began this project back in 2007, and shows the location of the first math video I loaded on <strong><a href="https://www.youtube.com/user/mathinreallife">YouTube</a></strong>. For those that have been around long enough, if you recall, it was the wall that I used to create the videos where we discussed the Real Number Set <em>(<strong><a href="https://www.youtube.com/watch?v=Ljo3eYwE78E">Part 1</a></strong> and <strong><a href="https://www.youtube.com/watch?v=hU8Cy5g3Fqk">Part 2</a></strong>)</em> in <strong><a href="http://languageofmathematics.blogspot.ca/2012/02/language-of-mathematics-table-of.html#I:">Series I</a></strong>. <br /><br />The image that my friend found shows my handiwork from <strong><a href="http://languageofmathematics.blogspot.ca/2012/02/language-of-mathematics-table-of.html#IVa:">Series IVa</a></strong> on the wall. It’s from the video where we discussed systems, SI units, and where we created a conversion table for colored squares and triangles. You’ll find the video we created below, and if you are so inclined, you can use Google’s Street View to check out the area further if you want to have a feel for why this wall is the only location that I have come back to for every series since starting this project - a wall that we will most likely visit for many years to come. <br /><br /><iframe width="420" height="314" frameborder="0" scrolling="no" marginheight="0" marginwidth="0" src="https://maps.google.ca/maps?q=cambie+street+bridge&hl=en&sll=49.257735,-123.123904&sspn=0.197184,0.308647&t=h&hnear=Cambie+St+Bridge,+Vancouver,+Greater+Vancouver,+British+Columbia&panoid=lpL4cBz526bvRoVECVL-rg&ie=UTF8&hq=&layer=c&cbll=49.273287,-123.11474&cbp=13,180.36,,1,2.78&source=embed&ll=49.268267,-123.114767&spn=0.017586,0.036049&z=14&output=svembed"></iframe><br /><small><a href="https://maps.google.ca/maps?q=cambie+street+bridge&hl=en&sll=49.257735,-123.123904&sspn=0.197184,0.308647&t=h&hnear=Cambie+St+Bridge,+Vancouver,+Greater+Vancouver,+British+Columbia&panoid=lpL4cBz526bvRoVECVL-rg&ie=UTF8&hq=&layer=c&cbll=49.273287,-123.11474&cbp=13,180.36,,1,2.78&source=embed&ll=49.268267,-123.114767&spn=0.017586,0.036049&z=14" style="color:#0000FF;text-align:left">View Larger Map</a></small><br /><br /><center><strong>2011: <strong><a href="http://languageofmathematics.blogspot.ca/2012/02/language-of-mathematics-table-of.html#IVa:">Series IV</a></strong> - Systems, SI Units, and a Conversion Table for Colored Squares and Triangles (Math Series IVa #146) </strong></center><iframe width="420" height="236" src="//www.youtube.com/embed/XYnx9nHQ0DI" frameborder="0" allowfullscreen></iframe><br /><br />As for the rest of the videos that were produced in this area, you will find them below. For multi-part sets, the links are provided below the videos that have been embedded. I hope you enjoy watching them as much as I enjoyed creating them. Peace. <br /><br /><center><strong>2007: <strong><a href="http://languageofmathematics.blogspot.ca/2012/02/language-of-mathematics-table-of.html#I:">Series I</a></strong> - The Language of Mathematics (3): The Real Number Set - Part 1 </strong></center><iframe width="420" height="236" src="//www.youtube.com/embed/Ljo3eYwE78E" frameborder="0" allowfullscreen></iframe><em><strong><a href="https://www.youtube.com/watch?v=hU8Cy5g3Fqk">Part 2: The Language of Mathematics (4) </a></strong></em><br /><br /><center><strong>2008: <strong><a href="http://languageofmathematics.blogspot.ca/2012/02/language-of-mathematics-table-of.html#II:">Series II</a></strong> - Language of Mathematics II (42): Exponents and Radicals (1 of 3) </strong></center><iframe width="420" height="236" src="//www.youtube.com/embed/IyqQRezy2Co" frameborder="0" allowfullscreen></iframe><em><strong><a href="https://www.youtube.com/watch?v=9DYFJ-HK0q8">Part 2</a></strong> and <strong><a href="https://www.youtube.com/watch?v=IIGN8jf6EUU">Part 3</a></strong>. I also put together a set of these videos linking the concept of exponents and radicals with the real number set: <strong><a href="https://www.youtube.com/watch?v=mE-QDFZfrYY">Part 1</a></strong> and <strong><a href="https://www.youtube.com/watch?v=pgX0E-bYX8w">Part 2</a></strong></em><br /><br /><center><strong>2009: <strong><a href="http://languageofmathematics.blogspot.ca/2012/02/language-of-mathematics-table-of.html#IIIa:">Series IIIa</a></strong> - Language of Mathematics III (63): Black holes and elementary particles (Part 2) </strong></center><iframe width="420" height="236" src="//www.youtube.com/embed/8PcYhDvTVuA" frameborder="0" allowfullscreen></iframe><em><strong><a href="https://www.youtube.com/watch?v=6o3IGPGw_oo">Part 1: The Language of Mathematics III (62) </a></strong></em><br /><br /><center><strong>2010: <strong><a href="http://languageofmathematics.blogspot.ca/2012/02/language-of-mathematics-table-of.html#IIIb:">Series IIIb</a></strong> - Why Do We Factor? Introduction to Factoring Polynomials: The Language of Mathematics IIIb (105) </strong></center><iframe width="420" height="236" src="//www.youtube.com/embed/m_5UiNJF8UQ" frameborder="0" allowfullscreen></iframe>chychohttp://www.blogger.com/profile/00178151933681850473noreply@blogger.com0tag:blogger.com,1999:blog-518311653241322047.post-50889549600366280852014-01-06T08:14:00.001-08:002014-01-06T08:14:22.222-08:00An Exercise for the Mind: a 10 by 10 Math Puzzle: a Pattern Recognition Game: Meditation on an Open MazeA few years ago one of my students introduced me to a simple and intriguing game. He didn’t know where the game originated from but said that it was popular in Turkey, and that he and his friends loved playing it. <br /><br />It is probably best categorised as a mathematical puzzle that requires no arithmetic calculations, just placements of numbers based on two rules; hence I prefer to refer to this puzzle as a pattern recognition game, or simply, an exercise for the mind using an open maze – a meditation of sorts. <br /><br /> <strong><u>The Purpose of the Game</u></strong><ul>To take a 10 by 10 grid, equaling 100 squares, and completely filling in every square based on two types of movements. </ul> <br /> <strong><u>The Rules are Simple</u></strong><ul><strong>1) </strong> Create a 10 by 10 grid (graph paper or a spread sheet will come in very handy). </ul><a href="http://imgur.com/pI92DtP"><img src="http://i.imgur.com/pI92DtP.png" title="Hosted by imgur.com"/></a> <br /><br /> <ul><strong>2) </strong> Fill one of the squares with the number 1, then, based on the following two movement types, use consecutive numbers to fill in the rest of the grid: <br /><ul><strong><u>Movement Type I:</u> </strong> If the next number in the sequence is going to be placed vertically or horizontally, then it must be placed exactly three squares away from the previous number - there must be a two square gap between the numbers. <br /><br /><strong><u>Movement Type II:</u> </strong> If the next number in the sequence is going to be placed diagonally, then it must be placed exactly two squares away from the previous number - there must be a one square gap between the numbers. </ul></ul><br /><a href="http://imgur.com/M1zC0hT"><img src="http://i.imgur.com/M1zC0hT.png" title="Hosted by imgur.com"/></a> <br /><br /> <ul><strong>3) </strong> Numbers can only be placed in empty squares - once a square has been used it can not be used again. All placements must occur within the grid. </ul><br /><ul><strong>4) </strong> Game is complete when the number 100 is reached - when all empty squares in the grid are filled. If you cannot continue placing numbers based on the two movement types above, and empty squares remain in the grid, then the puzzle is not complete and the game lost. </ul> <br /><strong><u>Two Incomplete Examples and a Solution</u></strong><ul><strong><u>Example 1:</u> </strong> The first example is one where I tried to get the worst possible result. I was able to end the game in 6 moves. </ul><a href="http://imgur.com/bJZgUAO"><img src="http://i.imgur.com/bJZgUAO.png" title="Hosted by imgur.com"/></a> <br /><br /> <ul><strong><u>Example 2:</u> </strong> The second example is my best result so far. In this example I was able to reach 99 – one move short of finishing the game. </ul><a href="http://imgur.com/C4k3ktl"><img src="http://i.imgur.com/C4k3ktl.png" title="Hosted by imgur.com"/></a> <br /><br /> <ul><strong><u>A Solution:</u> </strong> The final example is a solution completed by my student who introduced me to the game. He had been playing this game for approximately three years, and this was the only solution that he had been able to obtain during this period. This means that we know there will be at least four solutions to this game – the one presented below and its three mirrors. It would be interesting to find out how many solutions actually do exist <em> - any mathematicians or programmers out there interested in tackling this problem?</em> </ul><a href="http://imgur.com/J2uCLXX"><img src="http://i.imgur.com/J2uCLXX.png" title="Hosted by imgur.com"/></a> <br /><br /> <strong><u>Variations</u></strong><ul>Aside from creating a weighted scoring system or using symbols instead of numbers to fill in the squares, two variants could be: 1) give a starting point and an end point for the game – this will dramatically increase the difficulty of the puzzle; 2) create different types of grids but maintain the same placement rules – an example is presented below. </ul><a href="http://imgur.com/YDi8e3L"><img src="http://i.imgur.com/YDi8e3L.png" title="Hosted by imgur.com"/></a> <br /><br /> For anyone who wants to try this out, below you will find a sheet with 12 grids (click to enlarge). Ideally, a simple program based on the parameters above loaded on a device with a touchscreen would be the best way to play this game. If you are into such things, I hope the game entertains you, and if you find anymore solutions, please send them my way. Thanks in advance. <br /><br /> <a href="http://i.imgur.com/Y2B4VdU.png"><img src="http://i.imgur.com/1jhAqYa.png" title="Hosted by imgur.com"/></a> <br /><br />chychohttp://www.blogger.com/profile/00178151933681850473noreply@blogger.com0tag:blogger.com,1999:blog-518311653241322047.post-62003391446883553182013-11-16T12:41:00.000-08:002013-11-16T13:39:48.963-08:00Bill Nye, Brian Greene, Neil deGrasse Tyson, and Lawrence Krauss have a brilliant little discussion on the limitations of mathematics, and its importance and relevance to humanity<strong><a href="http://languageofmathematics.blogspot.ca/2012/02/why-is-math-important-because-language.html">Math lovers</a></strong> and aficionados will find the following discourse both entertaining and informative. <br /><br /> Below you will find the <strong><a href="http://www.youtube.com/watch?v=40YIIaF1qiw">video</a></strong> and partial transcript of Arizona State University’s <strong><a href="http://origins.asu.edu/">Origins Project</a></strong>’s Q&A segment from their <em><strong><a href="http://www.origins.asu.edu/events/science-myth-and-reality">‘The Storytelling of Science’</a></strong></em> panel discussion, featuring “well-known science educator <strong><a href="http://www.billnye.com/">Bill Nye</a></strong>, astrophysicist <strong><a href="http://www.haydenplanetarium.org/tyson/">Neil deGrasse Tyson</a></strong>, evolutionary biologist <strong><a href="http://www.richarddawkins.net/">Richard Dawkins</a></strong>, theoretical physicist <strong><a href="http://www.briangreene.org/">Brian Greene</a></strong>, Science Friday’s <strong><a href="http://sciencefriday.com/about/about-ira-flatow.html">Ira Flatow</a></strong>, popular science fiction writer <strong><a href="http://www.nealstephenson.com/">Neal Stephenson</a></strong>, executive director of the World Science Festival <strong><a href="http://www.worldsciencefestival.com/participants/tracy_day">Tracy Day</a></strong>, and Origins Project director <strong><a href="http://krauss.faculty.asu.edu/">Lawrence Krauss</a></strong>.” <br /><br />The first question asked of the panel was: <blockquote><strong>Q:</strong> “If you could give us all a one word piece of advice for our own science storytelling, what would it be?” </blockquote>Bill Nye was the first to reply with, <em>“Algebra, learn algebra.”</em> Neil deGrasse Tyson follows with, <em>‘Ambition’.</em> Lawrence Krauss with, <em>‘Passion’.</em> Neal Stephenson with, <em>‘Empathize’.</em> Richard Dawkins states that since <em>empathize</em> has already been taken, he will choose <em>‘Poetry’</em>. While Ira Flatow states that <em>”you should be able to tell it so that your mother can understand it.”</em><br /><br />The second question asked by the audience is what kicks off the fireworks: <blockquote><strong>Q:</strong> “I’ve always wanted to be an astronautical engineer, but I am horrible at math, but I’ve got lots of passion. Can this dream ever be a reality and where do I start?” </blockquote>The dialogue of the panelists was as follows: <blockquote><u><strong>Lawrence Krauss:</strong></u> “As Bill said, math is the language of science, and I think you have to be able to be adept at it.” <br /><br /><u><strong>Neil deGrasse Tyson:</strong></u> <em>[interrupting Krauss]</em> “Math is the language of the universe.” <br /><br /><u><strong>Lawrence Krauss:</strong></u> “Yes, You’re right, I agree with you there.” <br /><br /><em>…audience applauds and cheers…</em><br /><br /><u><strong>Lawrence Krauss:</strong></u> “I agree, but let me just finish. Too many people think that you have to be a mathematical wizard… you don’t have to be the best mathematician in your class, you don’t have to be a wiz. It takes all type to do science, and any stereotype just doesn’t work. If you’re interested, do it.”… <br /><br /><u><strong>Bill Nye:</strong></u> “But the other thing, I would say, you say you’re bad at math, I bet you’re not that bad. And I just want to remind you that when it comes to math there is no substitute for practice. It sucked for me, it sucks for everyone. You just have to practice. So when you come to me and say <em>‘I’m bad at math’</em>, I am open minded of course but skeptical. I bet you can do it whoever you are.” <br /><br /><u><strong>Lawrence Krauss:</strong></u> “You know, that’s an important point. We were talking about it last night too… I like science museums because they show science as fun but science is hard work like anything, like music, like anything else to do it well, and it takes a lot of work. And if you don’t enjoy it you can’t do the work, but just enjoyment alone isn’t enough, you really got to be willing to work at it.” <br /><br /><u><strong>Neil deGrasse Tyson:</strong></u> “I think what’s going on here is, people presume that if the math is not coming easy that therefore you’ll never learn it. And I meant it literally that math is the language of the universe, and it’s like any other language, especially a language that does not share the Roman alphabet. So, for example, if you wanted to study Chinese, it looks completely intractable at first… and you can ask the question, <em>‘how long does it take one to become fluent in Chinese, if you’re not Chinese yourself?’</em> …it can take… almost 10 years, if you never go to China. If you go to China, maybe 5 years of intensive exposure - and you’ve never done that with math - imagine that level of exposure to math, what kind of fluency you would have at the other end of that pipeline. So at least give yourself the opportunity that any person learning a foreign language would give themselves before you turn around and say you’re not good at math.” <br /><br /> <em>…audience applauds and cheers…</em><br /><br /><u><strong>Brian Greene:</strong></u> <em>[addressing Neil deGrasse Tyson]</em> “The question that comes to mind for me is, how do you know that math is the language of the universe?” <br /><br /><u><strong>Neil deGrasse Tyson:</strong></u> “The universe told me.”… <br /><br /><u><strong>Bill Nye:</strong></u> “It’s a first approximation”… <br /><br /><u><strong>Brian Greene:</strong></u> “I was wondering, I have a question about this, could you imagine that one day far into the future we encounter some alien civilization and they say, <em>‘hey, show us what you’ve done to understand the universe’</em>, and we bring out our math books with all our theorems in physics and they turn to us and say, <em>‘Math! We tried that, it takes you just so far! And the real way to do it is like this!’</em><br /><br /><u><strong>Neil deGrasse Tyson:</strong></u> “I would say, that whatever that real way is it’s not manifest to us at this moment, and until that day happens where an alien tells us how backwards we are, all I can say is that the math that we did invent out of our human brain - as you <em>[pointing to Brian Greene]</em> surely know <strong><a href="https://en.wikipedia.org/wiki/Eugene_Wigner">Eugene Wigner</a></strong> said <strong><a href="http://www.dartmouth.edu/~matc/MathDrama/reading/Wigner.html">the unreasonable effectiveness of mathematics</a></strong> in describing the universe - the fact that it works at all is sufficient enough for me.” <br /><br /><em>…a little chaos ensues…</em><br /><br /><u><strong>Lawrence Krauss:</strong></u> “I want to go on record, and this is a momentous occasion, I want to go on record as agreeing with Brian. In a sense that it is fascinating if you’re a theoretical physicist to wonder when you find something fascinating - some mathematical formula that’s fascinating - whether it’s a property of our brains or whether it’s a property of the universe, and we just don’t know I think is the answer….” <br /><br /><u><strong>Brian Greene:</strong></u> “Right, but let me answer your question. I find it slightly confusing because, Neil, you describe math as something that we create, so why is it the thing that we create is somehow intrinsic to the universe?...” <br /><br /><u><strong>Neil deGrasse Tyson:</strong></u> “I don’t lose sleep over that, I celebrate it.” <br /><br /><u><strong>Brian Greene:</strong></u> “It’s a good thing, I celebrate it too.” <br /><br /><u><strong>Lawrence Krauss:</strong></u> “But it is the question, there may be limitations of our understanding of the universe because of the way our brains work…” <br /><br /> <u><strong>Neil deGrasse Tyson:</strong></u> “That’s surely the case. That’s surely the case.”… <br /><br /><u><strong>Lawrence Krauss:</strong></u> “But seriously that’s an interesting question and we really have to wonder about that, and again, as some of us are on the forefront of physics, you wonder at some point when it’s going to end.”… <br /><br /><u><strong>Bill Nye:</strong></u> “But, to the questioner’s question, I wouldn’t worry about the possibility that mathematics is going to turn out to be ineffective in describing the universe and use that as a reason to not keep practicing. Press on.” <br /><br /><em>…audience applauds and cheers…</em> </blockquote>The above dialogue and more takes place in the first few minutes of the following video embedded below. <br /><br /><h4><strong><center> Q&A Segment - The Great Debate: THE STORYTELLING OF SCIENCE (Part 2/2)</center></strong></h4><iframe width="420" height="236" src="//www.youtube.com/embed/40YIIaF1qiw?rel=0" frameborder="0" allowfullscreen></iframe><br /><br />Part one of <em>‘The Storytelling of Science’</em> follows and is well worth the watch as well. <br /><br /><h4><strong><center>The Great Debate: THE STORYTELLING OF SCIENCE (Part 1/2)</center></strong></h4><iframe width="420" height="236" src="//www.youtube.com/embed/_J4QPz52Sfo?rel=0" frameborder="0" allowfullscreen></iframe>chychohttp://www.blogger.com/profile/00178151933681850473noreply@blogger.com0tag:blogger.com,1999:blog-518311653241322047.post-13489576869043586862013-11-11T14:34:00.002-08:002013-11-11T14:34:28.508-08:00Math in Art and Design: Building a Bucky-Ball and a Rhombicosidodecahedron with Bamboo & Zap-Straps (Math in Real Life) <em>Table of Contents: <strong><a href="http://languageofmathematics.blogspot.ca/2012/02/language-of-mathematics-table-of.html">Language of Mathematics</a></strong>, <strong><a href="http://languageofmathematics.blogspot.ca/2012/04/math-in-real-life-table-of-contents.html">Math in Real Life</a></strong></em> <iframe width="420" height="236" src="//www.youtube.com/embed/nthSgcg0ndE?rel=0" frameborder="0" allowfullscreen></iframe> <br /><ul><br /><strong>DIRK MARWIG </strong><br /><strong><a href="http://dirkmarwig.com/"> dirkmarwig.com </a></strong><br /></ul>chychohttp://www.blogger.com/profile/00178151933681850473noreply@blogger.com0tag:blogger.com,1999:blog-518311653241322047.post-70419235026126008692013-11-03T11:21:00.000-08:002013-11-03T11:21:26.282-08:00Math in Art and Design: Building Three Objects: Freeform, Symmetry, Golden Rectangle (Math in Real Life) <em>Table of Contents: <strong><a href="http://languageofmathematics.blogspot.ca/2012/02/language-of-mathematics-table-of.html">Language of Mathematics</a></strong>, <strong><a href="http://languageofmathematics.blogspot.ca/2012/04/math-in-real-life-table-of-contents.html">Math in Real Life</a></strong></em> <iframe width="420" height="236" src="//www.youtube.com/embed/hR8BqZs91VI?rel=0" frameborder="0" allowfullscreen></iframe> <br /><ul><br /><strong>DIRK MARWIG </strong><br /><strong><a href="http://dirkmarwig.com/"> dirkmarwig.com </a></strong><br /></ul>chychohttp://www.blogger.com/profile/00178151933681850473noreply@blogger.com0tag:blogger.com,1999:blog-518311653241322047.post-38028847679128926992013-10-31T07:10:00.002-07:002013-10-31T07:10:50.034-07:00Math in Art and Design: Chaos, Order, and Op Art - Five Paintings by Dirk Marwig (Math in Real Life)<em>Table of Contents: <strong><a href="http://languageofmathematics.blogspot.ca/2012/02/language-of-mathematics-table-of.html">Language of Mathematics</a></strong>, <strong><a href="http://languageofmathematics.blogspot.ca/2012/04/math-in-real-life-table-of-contents.html">Math in Real Life</a></strong></em> <iframe width="420" height="236" src="//www.youtube.com/embed/kaMYhvRurIU" frameborder="0" allowfullscreen></iframe> <br /><ul><br /><strong>DIRK MARWIG </strong><br /><strong><a href="http://dirkmarwig.com/"> dirkmarwig.com </a></strong><br /></ul>chychohttp://www.blogger.com/profile/00178151933681850473noreply@blogger.com0tag:blogger.com,1999:blog-518311653241322047.post-51324672167168025482013-08-22T11:27:00.002-07:002013-08-22T11:27:35.656-07:00Math in Art and Design: Using the Fibonacci Numbers to Create the Golden Rectangle (Math in Real Life) <em>Table of Contents: <strong><a href="http://languageofmathematics.blogspot.ca/2012/02/language-of-mathematics-table-of.html">Language of Mathematics</a></strong>, <strong><a href="http://languageofmathematics.blogspot.ca/2012/04/math-in-real-life-table-of-contents.html">Math in Real Life</a></strong></em> <iframe width="420" height="315" src="//www.youtube.com/embed/07AZTC_t-xY?rel=0" frameborder="0" allowfullscreen></iframe> <br /><ul><br /><strong>DIRK MARWIG </strong><br /><strong><a href="http://dirkmarwig.com/"> dirkmarwig.com </a></strong><br /></ul>chychohttp://www.blogger.com/profile/00178151933681850473noreply@blogger.com0tag:blogger.com,1999:blog-518311653241322047.post-51233048964479049842013-08-18T15:48:00.000-07:002013-08-18T15:48:44.336-07:00Math in Art and Design: The Golden Ratio, Rectangle, and Spiral - Dirk Marwig (Math in Real Life) <em>Table of Contents: <strong><a href="http://languageofmathematics.blogspot.ca/2012/02/language-of-mathematics-table-of.html">Language of Mathematics</a></strong>, <strong><a href="http://languageofmathematics.blogspot.ca/2012/04/math-in-real-life-table-of-contents.html">Math in Real Life</a></strong></em> <iframe width="420" height="315" src="//www.youtube.com/embed/pO3D6l2YjEU?rel=0" frameborder="0" allowfullscreen></iframe> <br /><ul><br /><strong>DIRK MARWIG </strong><br /><strong><a href="http://dirkmarwig.com/"> dirkmarwig.com </a></strong><br /></ul>chychohttp://www.blogger.com/profile/00178151933681850473noreply@blogger.com0tag:blogger.com,1999:blog-518311653241322047.post-38038825656724324762013-08-08T09:00:00.000-07:002013-08-08T09:03:11.787-07:00Update from La Belle Besogne Farm for May, June, and July 2013: Math in Real Life, Food and Farming, CSABelow you will find a short update and a beautiful poster put together by Marv on what's been taking place at <strong><a href="http://labellebesognefarm.weebly.com/">La Belle Besogne Farm</a></strong> in May, June, and July. The video series for this section of <strong><a href="http://languageofmathematics.blogspot.ca/2012/04/math-in-real-life-table-of-contents.html">Math in Real Life</a></strong> can be found at <em><strong><a href="http://languageofmathematics.blogspot.ca/2012/04/math-in-real-life-table-of-contents.html#CSA:">Food and Farming, Section 1: Community Supported Agriculture, CSA</a></strong></em>. <blockquote>"Greetings from the Eastern seaboard. Here's a photo update of what's growing out here. It's been hot dry and crusty followed by a biblical downpour. The bugs and weeds are thriving, the hard-drive is making strange noises, so video work will have to wait until the fall (also I barely have time to take a shit, let alone edit videos). I'm finally getting an idea of what people mean when they say they are too busy. I feel like scratching my back till there's nothing left. But all in all things are great! <br /><br />"...You'll be happy to know we're keeping records and should have some numbers for you soon. Things are scrawled in different places but it looks to be a pretty good picture of harvest amounts etc. <br /><br />"There are also quite a few losses, a whole bed of Bok Choi that got eaten by cabbage moth, a half-bed of broccoli that went to flower before we could harvest it and about thirty feet of spinach that barely germinated. There's plenty of backup crops for our shares and market tho. Looking back on the spring it feels like we were just planting out tons of extra stuff expecting everything to fail. But the weather seems to have stabilized, lots of sun and lots of rain, the soil is looking great and we're crushing bugs (the bad ones only) every chance we get. <br /><br />"Oh and the tobacco plants are getting huge! One is almost four feet high, thanks for that. (The slugs love the huge leaves) So anyway, as soon as we get a bit of time for data entry, I'll send that stuff your way. Till then, take care and enjoy the summer that seems to be flying by way too fast." </blockquote> <a href="https://picasaweb.google.com/lh/photo/tFRSYMYUXLIQ1jgZxBT_QdMTjNZETYmyPJy0liipFm0?feat=embedwebsite"><img src="https://lh6.googleusercontent.com/-RT-IaBsBVUs/UgK4M9xg5mI/AAAAAAAAAYg/VBwk3gNgS5E/s640/Update_May_June_July.jpg" height="560" width="420" /></a>chychohttp://www.blogger.com/profile/00178151933681850473noreply@blogger.com0tag:blogger.com,1999:blog-518311653241322047.post-11241352196095541032013-07-29T12:01:00.000-07:002013-07-29T12:01:18.516-07:00Math in Art and Design: The Art of Dirk Marwig: Perspective, Depth, Elements, and Ratios (Math in Real Life)<em>Table of Contents: <strong><a href="http://languageofmathematics.blogspot.ca/2012/02/language-of-mathematics-table-of.html">Language of Mathematics</a></strong>, <strong><a href="http://languageofmathematics.blogspot.ca/2012/04/math-in-real-life-table-of-contents.html">Math in Real Life</a></strong></em> <iframe width="420" height="236" src="//www.youtube.com/embed/EhkvK0hvK3U?rel=0" frameborder="0" allowfullscreen></iframe> <br /><ul><br /><strong>DIRK MARWIG </strong><br /><strong><a href="http://dirkmarwig.com/"> dirkmarwig.com </a></strong><br /></ul>chychohttp://www.blogger.com/profile/00178151933681850473noreply@blogger.com0tag:blogger.com,1999:blog-518311653241322047.post-81752605691499478642013-07-22T08:35:00.000-07:002013-07-22T08:35:35.413-07:00Recap of Series I, II, IIIa, IIIb, IVa, and a little Math in Real Life (The Language of Mathematics #153)<em>Table of Contents: <strong><a href="http://languageofmathematics.blogspot.ca/2012/02/language-of-mathematics-table-of.html">Language of Mathematics</a></strong>, <strong><a href="http://languageofmathematics.blogspot.ca/2012/04/math-in-real-life-table-of-contents.html">Math in Real Life</a></strong></em><iframe width="420" height="236" src="//www.youtube.com/embed/GWCkQfSa3EE?rel=0" frameborder="0" allowfullscreen></iframe> <ul><br /><strong>Music by Horeja</strong><br />Facebook: <strong><a href="http://www.facebook.com/horeja">www.facebook.com/horeja</a></strong><br />YouTube: <strong><a href="https://www.youtube.com/user/horejachile">www.youtube.com/user/horejachile</a></strong><br />Original Music Video: <strong><a href="https://www.youtube.com/watch?v=aoCZtYnXYi4">La Más Desechable de Todas Las Máquinas </a></strong></ul> chychohttp://www.blogger.com/profile/00178151933681850473noreply@blogger.com0tag:blogger.com,1999:blog-518311653241322047.post-82222524780954826002013-07-16T13:22:00.000-07:002013-07-22T07:02:31.103-07:00Torrent now available for Series IVa, and an Update: Language of Mathematics and Math in Real Life (#152) <em>Table of Contents: <strong><a href="http://languageofmathematics.blogspot.ca/2012/02/language-of-mathematics-table-of.html">Language of Mathematics</a></strong>, <strong><a href="http://languageofmathematics.blogspot.ca/2012/04/math-in-real-life-table-of-contents.html">Math in Real Life</a></strong></em><iframe width="420" height="236" src="//www.youtube.com/embed/hUEkZsee064?rel=0" frameborder="0" allowfullscreen></iframe> <br /><br />Direct links to torrents on The Pirate Bay: <ul><li><strong><a href="http://thepiratebay.sx/torrent/4965591/chychoA_a__a__s_The_Language_of_Mathematics_Series_I_A_a__a___Videos_1_to">Series I</a></strong>: Videos #1 to #35 for The Language of Mathematics, produced in 2007. </li><li><strong><a href="http://thepiratebay.sx/torrent/4965597/chychoA_a__a__s_The_Language_of_Mathematics_Series_II_A_a__a___Videos_36_t">Series II</a></strong>: Videos #36 to #58 for The Language of Mathematics, produced in 2008. </li><li><strong><a href="http://thepiratebay.sx/torrent/5129513/chychoA_a__a__s_The_Language_of_Mathematics_Series_IIIa_-_61_to_92 ">Series IIIa</a></strong>: Videos #61 to #92 for The Language of Mathematics, produced in 2009. </li><li><strong><a href="http://thepiratebay.sx/torrent/6377066/chycho_s_The_Language_of_Mathematics_Series_IIIb_%28vids_93-142%29">Series IIIb</a></strong>: Videos #93 to #142 for The Language of Mathematics, produced in 2010-2011. </li><li><strong><a href="http://thepiratebay.sx/torrent/8680857/chycho_s_The_Language_of_Mathematics_Series_IVa__and_videos_for_">Series IVa</a></strong>: Videos #143 to #151 for The Language of Mathematics plus some videos for Math in Real Life, produced in 2011-2013. </li></ul><br /><h3>Description </h3><br /> At the request of my readers, in 2009 I began to provide torrents for the math videos. The torrents are available through <strong><a href="http://thepiratebay.se/search/chycho%20mathematics/0/99/0">The Pirate Bay</a></strong> and other <strong><a href="http://www.google.ca/search?hl=en&client=firefox-a&rls=org.mozilla%3Aen-US%3Aofficial&hs=HNB&q=chycho+torrent&btnG=Search&meta=&aq=f&oq=#hl=en&client=firefox-a&rls=org.mozilla:en-US%3Aofficial&sclient=psy-ab&q=chycho+torrents&pbx=1&oq=chycho+torrents&aq=f&aqi=g-v1&aql=&gs_sm=3&gs_upl=20216l20216l0l20490l1l1l0l0l0l0l88l88l1l1l0&gs_l=serp.3..0i15.20216l20216l0l20491l1l1l0l0l0l0l88l88l1l1l0&bav=on.2,or.r_gc.r_pw.r_qf.,cf.osb&fp=5cd5ecda6aaa9604&biw=1219&bih=613">file sharing networks</a></strong>. <br /><br />Downloads are series specific and the files organized based on their video number and/or year, i.e, the order in which the videos were produced. See the table of contents for <strong><a href="http://languageofmathematics.blogspot.ca/2012/02/language-of-mathematics-table-of.html">The Language of Mathematics</a></strong> and <strong><a href="http://languageofmathematics.blogspot.ca/2012/04/math-in-real-life-table-of-contents.html">Math in Real Life</a></strong> to put things into context. <br /><br />Please note that videos from Series I, II, and IIIa are tagged with <strong><a href="http://www.chycho.com/">chycho.com</a></strong>, and those for Series IIIb and Series IVa are tagged with <strong><a href="http://www.420math.com/">420math.com</a></strong>. Since videos have gone through an additional edit in the process of putting this site together, they may vary slightly from those in the torrents. chychohttp://www.blogger.com/profile/00178151933681850473noreply@blogger.com0tag:blogger.com,1999:blog-518311653241322047.post-60607460021269093602013-06-21T21:13:00.000-07:002013-06-21T21:13:33.767-07:00Food and Farming, Part 8: An Update and Some Random Thoughts on Community Supported Agriculture, CSA (Math in Real Life) <em>Table of Contents: <strong><a href="http://languageofmathematics.blogspot.ca/2012/02/language-of-mathematics-table-of.html">Language of Mathematics</a></strong>, <strong><a href="http://languageofmathematics.blogspot.ca/2012/04/math-in-real-life-table-of-contents.html">Math in Real Life</a></strong></em><iframe width="420" height="236" src="http://www.youtube.com/embed/x_3x1VGauVg?rel=0" frameborder="0" allowfullscreen></iframe><ul><br /><strong> La Belle Besogne Farm </strong><br /><strong><a href="http://labellebesognefarm.weebly.com"> labellebesognefarm.weebly.com</a></strong><br /></ul>chychohttp://www.blogger.com/profile/00178151933681850473noreply@blogger.com0tag:blogger.com,1999:blog-518311653241322047.post-11180322985283084012013-06-09T09:22:00.000-07:002013-06-09T09:22:01.165-07:00Food and Farming, Part 7: Example #2: Calculating Total Row-Feet of Crop Needed for Our Menu (Math in Real Life) <em>Table of Contents: <strong><a href="http://languageofmathematics.blogspot.ca/2012/02/language-of-mathematics-table-of.html">Language of Mathematics</a></strong>, <strong><a href="http://languageofmathematics.blogspot.ca/2012/04/math-in-real-life-table-of-contents.html">Math in Real Life</a></strong></em><iframe width="420" height="236" src="http://www.youtube.com/embed/ccQFlNBOgro?rel=0" frameborder="0" allowfullscreen></iframe><ul><br /><strong> La Belle Besogne Farm </strong><br /><strong><a href="http://labellebesognefarm.weebly.com"> labellebesognefarm.weebly.com</a></strong><br /></ul>chychohttp://www.blogger.com/profile/00178151933681850473noreply@blogger.com0tag:blogger.com,1999:blog-518311653241322047.post-6495479377000848412013-04-16T09:50:00.000-07:002013-04-16T09:50:12.240-07:00Food and Farming, Part 6: Example #1: Calculating Crop Yield (Math in Real Life) <em>Table of Contents: <strong><a href="http://languageofmathematics.blogspot.ca/2012/02/language-of-mathematics-table-of.html">Language of Mathematics</a></strong>, <strong><a href="http://languageofmathematics.blogspot.ca/2012/04/math-in-real-life-table-of-contents.html">Math in Real Life</a></strong></em><iframe width="420" height="236" src="http://www.youtube.com/embed/Qby1N3cbVRo?rel=0" frameborder="0" allowfullscreen></iframe><ul><br /><strong> La Belle Besogne Farm </strong><br /><strong><a href="http://labellebesognefarm.weebly.com"> labellebesognefarm.weebly.com</a></strong><br /></ul>chychohttp://www.blogger.com/profile/00178151933681850473noreply@blogger.com0tag:blogger.com,1999:blog-518311653241322047.post-79544667069853064952013-04-10T08:22:00.003-07:002013-04-10T08:22:39.559-07:00Food and Farming, Part 5: The Spreadsheet, a Flowchart, The Big Picture (Math in Real Life) <em>Table of Contents: <strong><a href="http://languageofmathematics.blogspot.ca/2012/02/language-of-mathematics-table-of.html">Language of Mathematics</a></strong>, <strong><a href="http://languageofmathematics.blogspot.ca/2012/04/math-in-real-life-table-of-contents.html">Math in Real Life</a></strong></em><iframe width="420" height="236" src="http://www.youtube.com/embed/6stx5Hthzjs?rel=0" frameborder="0" allowfullscreen></iframe><ul><br /><strong> La Belle Besogne Farm </strong><br /><strong><a href="http://labellebesognefarm.weebly.com"> labellebesognefarm.weebly.com</a></strong><br /></ul>chychohttp://www.blogger.com/profile/00178151933681850473noreply@blogger.com0