Conrad Wolfram - my home page A Really, Really Cool Website For Students Who Think They Hate Math The best resource for a student that thinks they hate math is a great teacher. But what about the best resource for that teacher? Beyond an active imagination, ability to relate to students, and an incredibly strong content knowledge themselves, it may not get much better than Numberphile . While the site is simple a crudely interactive graphic with links to videos, it has, in one fell swoop, creatively curated some of the most compelling and engaging “problems” in mathematics. Fantastic resource for bell ringers, test questions, math project-based learning ideas, or as a model for students to curate their own curiosities about the incredible–and poorly marketed–world of mathematics. It’s also, incidentally, a YouTube channel as well, from which we’ve taken a sample video below.

Polyhedra by Jim McNeill: last updated 23 Apr 2013. Note: If you are having difficulty viewing the VRML files, then download the latest version of Cortona from here. HEDRON: Polyhedron generating software, now at V1.12, available here. Help text here. Uniform Polyhedra: Displayed as 'switchable' VRML files, including Skilling's figure, including links to 'molecular' VRML files of all the uniform Polyhedra. Johnson Solids: More 'switchable' VRML files, plus some isomorphs to the Johnson Solids. Rhombohedra: Polyhedra containing rhombic faces: Isohedral Deltahedra: Face transitive polyhedra consisting of equilateral triangles. Elementary Honeycombs: Vertex transitive space filling honeycombs with non-uniform cells. Acrohedra:Polyhedra with a specified vertex, n-n-3 acrons, some near misses (with 'Stress Maps') and tables of dihedral angles. Petrie Expanded Polyhedra: Polyhedra that have been expanded across their Petrie Polygons Locally Convex Prismatic Polyhedra: Commentary and models of Toroids:

10 Unusual Ways to Explore Math I confess. I never really liked math. I played the school game well so I received pretty good grades, but after I passed the test (even after receiving an A in most cases), those rules, theorems and facts didn’t stick around for very long. The problem was everything was drilled into me, or as I like to think now, drilled out of me. I’m so excited that now, as an adult, I have the time and opportunity to get to know math all over again with my kids. Over the next few weeks, I’m going to take subjects traditionally taught in schools, one subject each week, and show you how they can be looked at in unusual ways. Here’s a list of ten unusual ways to look at math. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. Do you have any ideas about how math is connected in unusual ways to your world? Did you like this post? Photo Credit: fdecomite

Quaternion group where 1 is the identity element and −1 commutes with the other elements of the group. Cayley graph[edit] The Q8 group has the same order as the Dihedral group, D4, but a different structure, as shown by their Cayley graphs: Cayley table[edit] The Cayley table (multiplication table) for Q is given by:[1] The multiplication of pairs of elements from the subset {±i, ±j, ±k} works like the cross product of unit vectors in three-dimensional Euclidean space. Properties[edit] The quaternion group has the unusual property of being Hamiltonian: every subgroup of Q is a normal subgroup, but the group is non-abelian.[2] Every Hamiltonian group contains a copy of Q.[3] In abstract algebra, one can construct a real four-dimensional vector space with basis {1, i, j, k} and turn it into an associative algebra by using the above multiplication table and distributivity. One may take, for instance, i = x, j = y and k = x y. The center and the commutator subgroup of Q is the subgroup {±1}. is given by Notes[edit]

Mathletics – what’s it all about? | nhowie As a newly appointed Mathletics Lead Educator I thought I’d jot down a few points about why I thought we use this system. Mathletics (from 3P Learning) is an online Mathematics programme that we have used at BIS since 2006 with all out KS1-Ks3 (Years R-9/K-8). There are two sides to it for a student. The first is the curriculum side, which can be tied to UK/US/AUS and other curricula for a student in any year/grade (so the majority could be doing tasks related to the year you are teaching, though a teacher can individually set a students to a different year if this is necessary). Curriculum use of Mathletics The other is a more fun-based educational side, the “Live Mathletics” in which students compete against others in a timed (1 minute) answer as many questions as you can (though 3 strikes and you are out). Live Mathletics In my ICT lesson we had been working on a topic that we’d just completed, following 3 weeks of work and still had 15 minutes of the lesson left.

A Physics Booklist [Physics FAQ] - [Copyright] Updated 2005. Updated 1994—1997 by SIC, PEG. Original by Vijay Fafat. This article is a compilation of books recommended by sci.physics participants as the "standard" or "classic" texts on a wide variety of topics of general interest to physicists and physics students. Some entries here are incomplete, and many good books are not yet listed. Details such as publisher, date and ISBN numbers below are far and few between. If you are looking for a book that is out of print, try: Subject Index General Physics (so even mathematicians can understand it!) M.S. Classical Mechanics Herbert Goldstein: Classical Mechanics, 2nd ed, 1980. Classical Electromagnetism Jackson: Classical Electrodynamics, 2nd ed., 1975 Intermediate to advanced, the definitive graduate(US)/undergraduate(UK) text. Quantum Mechanics QED: The strange theory of light and matter Richard Feynman. Statistical Mechanics and Entropy Condensed Matter Special Relativity Particle Physics

Dan Meyer Image by DavidErickson via Flickr There are some really great blogs out there written by maths teachers who really care about their practice. I enjoy reading their posts as they share their insight and ideas and think about how it could improve my own teaching. There is wheat and there is chaff out there. f(t) Written by the highly witty and entertaining Kate Nowak, I love this blog for lots of reasons. I find her blog a useful way of ‘keeping the big picture in mind’ rather than becoming obsessed with the details all the time. Keeping Math Simple One of the best blogs I have found discussing pedagogy in maths teaching. “This blog isn’t about making math easy because it isn’t. There are regular blogs about using Geogebra effectively in teaching maths. Typical of the quality and thought provoking posts on this blog is “Teaching algebraic thinking without the x’s“. An insightful blog, regularly updated that is well worth your attention. Math for Primates Mathematics and Multimedia dy/dan Cheers!

Groupprops Mathematics and Multimedia Blog Carnival #2 Hook, Line and Linker Welcome to the second edition of the Mathematics and Multimedia Blog Carnival. One of the new developments is that I am giving a title to each edition of the carnival. The title of second edition: Hook, Line and Linker . The Number 2 Before our reading spree, let us first know what is so imporant about the number 2: is the first positive even number and the only prime number that is even. is equal to (1+i)(1-i). is very special because 2×2 = 4 and 2+2 = 4. Fermat’s Last theorem: the equation xn + yn = zn has no integral solutions when n is greater than 2. Goldbach’s Conjecture: Every even number greater than 2 is the sum of two prime numbers. And the killer trivia: It takes 2 to tango (grins). Mathematics Entries Content Mathematics First, let’s have some useful basic math. Who says conditional probability is hard? American? David Pilarski or Mr. And some serious math. John D. Murray Bourne has a very clear explanation about the concept of Riemann sums posted at squareCircleZ.

The Craig Web Experience -- PhD Thesis Computer Graphics and Geometric Ornamental Design Craig S. Kaplan. PhD thesis, 2002 Inspired by the wonderful page Robert Glenn Scharein has dedicated to his PhD thesis Interactive Topological Drawing, I decided to give my own thesis a happy little home on the internet. If you enjoy looking at pretty thesis pages, I also recommend the finely illustrated work of Sascha Rogmann: Wachstumsfunktionen von Pflasterungen. Abstract Throughout history, geometric patterns have formed an important part of art and ornamental design. The power to further the study and practice of ornament stems from three sources. In this dissertation, I present my research in the area of computer-generated geometric art and ornament. Download My thesis contains a lot of graphics, and so resolution does matter. Errata Whenever possible, one's thesis should be write-only. Favourite Figures I enjoy creating expository diagrams.

Tilings On this page I will show some of my research into tiling patterns. Tiling Viewer Applet I have written a Java applet that allows you to see lots of different tilings. Click the link below to launch the applet in a new window. It is about 1.3 MB in size, so may take a moment to load. Launch the Tiling Viewer Applet See below for a description of the kinds of tilings this applet has available. How to use the applet The left section of the screen shows a tree structure. Terminology Tiling or tessellation A dissection of the infinite flat plane into shapes of a finite area. Tile One of the shapes that forms a tiling. Isometry A distance-preserving mapping of the plane. Symmetry of a tiling An isometry maps the tile boundaries onto tile boundaries. Periodic tiling A tiling that has two independent translation symmetries, i.e. a tiling that repeats itself along two different axes like a wallpaper pattern. Primitive unit or Unit Parallelogram Fundamental unit Monohedral tiling Isohedral tiling Triangles Books:

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