Interactive Mathematics Miscellany and Puzzles

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On many pages, especially the more recent ones, some words or phrases are omitted like in this,there,at home,here,this,in school,mathematicsexample. On such occasions, when the cursor hovers over the omission, a menu is displayed forcing you to make a choice. Your selection is then appears in the previously empty space. This technique has been long used in the Outline Mathematics,Outline Mathematics,White House,National Science Foundationpages with the help of Java applets. The latest implementation is quite different and is much easier to use. Observe that the intended selection appears on a different background or in a different typeset. So do not be surprised.



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In this section of the site, solutions to a variety of problems are given in an outline with missing pieces. This is a perfect way to provoke students' thinking The biggest portion of the site is devoted to problems in geometry Algebra and arithmetic are branches of mathematics that grow on the same stem. Arithmetic is where we all start. Taught properly, it's a front door to the power of algebra Algebra and arithmetic are branches of mathematics that grow on the same stem. Algebra is a step ahead. Use it to solve more advanced problems and explain the wondeful and funny arithmetic tricks. Mathematics is really a great fun. There is no wonder that mathemathics games and puzzles come in abundance A theory of games in which Nim plays the most fundamental role. Probability is a branch of mathematics that provides tools for the study of random events Attempts to represent a number with a given digit may often lead to unexpected results. For example, 33/3-3/3 is a representation of 10 with five 3s. The Funny Arithmetic page offers a tool that helps in discovering such identities. Eye Opener Series is a collection of pages that use Java applets to illuminate math facts. A real eye opener - and in more than one sense at that Analog Gadgets Series is a collection of Java applets that emulate analog devices. Used mostly for geometric construction, these gadgets provide an opportunity to discuss various theoretical and applied aspects of Geometry. Probability is a branch of mathematics that provides tool for the study of random events Mathematics is impossible without logical thinking. However, logic is often thought of as a bracnch of mathematics Fractals are a great invention (or is it a discovery?) of Benoit Mandelbrot that describe most complex phenomena. The word "fractal" is most often encountered in a company of the word "beauty". Unfortunately, it is often considered as a substitute for the beauty of mathematics Besides having an entertainment value, visual illusions often teach us the wisdom of knowing the limitations of our perception. Mathematics can't rely on visual perception, but there probably won't be mathematics without our ability to see with the mind's eye Mathematics reaches into the social arena. It helps understand strange result of congressional and presidential elections, divide fairly inheritance, schedule jobs, and what not Even very knowledgeable and clever people make mistakes. Sometimes clever people invent arguments that look solidly logical but contain a flaw, all with the purpose to sharpen students' understanding of the mathematical argument Calculus is a great discovery of Newton and Leibniz. Regretfully, a course in calculus is often the last encounter of students with mathematics You would not believe your eyes when your computer performs real magic Combinatorics is an outgrowth of artihmetic and algebra. Curious and useful results are achieved by counting in different ways Droodles are a kind of problems that are not annunciated explicitly. Before attempting an answer, the student needs to realize what is the question There are math curiosities that are hard to classify