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I'm no slouch at maths, but this site has taught me lots. See videos of maths theories at the forefront of research presented in an understandable way. http://ictmagic.wikispaces.com/Maths

2010 book considering "implications of infinity ... for mathematics," also mathematical logic and set theory

"Mathematician Shinichi Mochizuki of Kyoto University in Japan has released a 500-page proof of the abc conjecture, which proposes a relationship between whole numbers - a 'Diophantine' problem. The abc conjecture, proposed independently by David Masser and Joseph Oesterle in 1985, might not be as familiar to the wider world as Fermat's Last Theorem, but in some ways it is more significant. "The abc conjecture, if proved true, at one stroke solves many famous Diophantine problems, including Fermat's Last Theorem," says Dorian Goldfeld, a mathematician at Columbia University in New York. "If Mochizuki's proof is correct, it will be one of the most astounding achievements of mathematics of the twenty-first century." See additional commentary at: http://bit-player.org/2012/the-abc-game?utm_src=HN2

"This book is designed to provide mathematics undergraduates with some historical background to the material that is now taught universally to students in their final years at school and the first years at college or university: the core subjects of calculus, analysis, and abstract algebra, along with others such as mechanics, probability, and number theory. All of these evolved into their present form in a relatively limited area of western Europe from the mid sixteenth century onwards, and it is there that we find the major writings that relate in a recognizable way to contemporary mathematics."

"Math Quest is a role playing game that could be used as a tool to learn numbers and basic mathematic operations. The Math Quest package consists of two main modules; learning and game modules that can be executed separately. The use of the learning module as a tool in learning will allow for a highly individualized and interactive environment. This paper presents the design of the learning module for numbers and their mathematics operation. Due to its interactive and stimulating nature, the module is suitable for school children age 9 to 12 years old to learn the subject. The development takes into consideration of constructivism learning theories where learning is based on students' active participation in problem solving and critical thinking regarding activity that they are involved in. The framework for each of module is as follows: objectives, concept, examples, exercises, quizzes. A heuristic evaluation on the design was conducted and positive feedback was obtained."

Exploration of a Fermat conjecture on prime numbers

Book to be published in November 2011

Published in 2011, "reveals the secrets of amazing, fun-to-perform card tricks--and the profound mathematical ideas behind them--that will astound even the most accomplished magician. ... Each card trick introduces a new mathematical idea, and varying the tricks in turn takes readers to the very threshold of today's mathematical knowledge. For example, the Gilbreath Principle--a fantastic effect where the cards remain in control despite being shuffled--is found to share an intimate connection with the Mandelbrot set. Other card tricks link to the mathematical secrets of combinatorics, graph theory, number theory, topology, the Riemann hypothesis, and even Fermat's last theorem." Read more about one of the authors here: http://chronicle.com/article/The-Magical-Mind-of-Persi/129404/

abstract: "A large number of studies carried out on pupils aged 8-14 have shown that teachable agent (TA) based games are beneficial for learning. The present pi- oneering study aimed to initiate research looking at whether TA based games can be used as far down as preschool age. Around the age of four, theory of mind (ToM) is under development and it is not unlikely that a fully developed ToM is necessary to benefit from a TA's socially engaging characteristics. 10 preschool children participated in an experiment of playing a mathematics game. The partic- ipants playing a TA-version of the game engaged socially with the TA and were not disturbed by his presence. Thus, this study unveil exciting possibilities for further research of the hypothesised educational benefits in store for preschoolers with regard to play-and-learn games employing TAs."

We specialize in Mathematics Assignments that are complex enough, such as the Law of Probability or Differential and Integral Calculus, Science, Algebra, Geometry and topology, Combinatorics, Logic, Number theory etc Question Can a linear equation and a non linear inequality be solved in the same way? Explain Why. What makes them different?