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"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 has always been easy for me but it wasn't until I started taking classes to get my teaching certificate that I came to truly love math. Both my mom and dad loved to play card and board games. They taught my sister and I many mathematical concepts while playing these games without even realizing it. Puzzles and patterns, statistics and probability were daily conversations. Then came school. Math was nothing but numbers written on paper. Easy to do but very boring and seemingly unrelated to life. Breezing through each worksheet, page of math problem and even finishing the 7th grade math book mid-year, math became a hated subject to be put aside as quickly as possible. I vowed that the day I graduated from high school would be the last day I ever took a math class. I succeeded in that goal all through college but when I wanted to get my Elementary Teaching Certificate the state of Vermont had other ideas. So I signed up for a summer class in teaching math.

Very interesting. Remember that to convert a:b odds (against, which is what the folks laying the bets will give) to probabiilty you take p=b/(a+b). This site lists the Yankees as 2:1 to win the American League, so if you think the probability is greater than 1/3 you should take the bet (theoretically speaking; please obey all applicable laws!). The Red Sox are 7:4, giving p=4/11.

Probability - Venn diagrams 2, for 3 events, and de Morgan's Laws

A case study of a teacher using twitter to collect probability statements in natural language

"As Markov chains have become commonplace tools, the story of their origin has largely faded from memory. The story is worth retelling. It features an unusual conjunction of mathematics and literature, as well as a bit of politics and even theology."

This is a great set of flash maths resources for your whiteboard. Topics include an interactive number square, fraction bars and a set of algebra scales. http://ictmagic.wikispaces.com/Maths

A great new resource from the creator of 'A Maths Dictionary for Kids'. Download and print beautifully designed and wonderfully useful maths posters on a good range of topics. Your classroom walls will never be the same again. http://ictmagic.wikispaces.com/Maths

"Mathics is a free, general-purpose online computer algebra system featuring Mathematica-compatible syntax and functions. It is backed by highly extensible Python code, relying on SymPy for most mathematical tasks and, optionally, Sage for more advanced stuff. Get Python if you don't have it already (you probably have it if you're on Linux or a Mac)."

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?

From the abstract (full text requires subscription): "Many organisms can predict future events from the statistics of past experience, but humans also excel at making predictions by pure reasoning: integrating multiple sources of information, guided by abstract knowledge, to form rational expectations about novel situations, never directly experienced. Here, we show that this reasoning is surprisingly rich, powerful, and coherent even in preverbal infants. When 12-month-old infants view complex displays of multiple moving objects, they form time-varying expectations about future events that are a systematic and rational function of several stimulus variables. Infants' looking times are consistent with a Bayesian ideal observer embodying abstract principles of object motion. The model explains infants' statistical expectations and classic qualitative findings about object cognition in younger babies, not originally viewed as probabilistic inferences."

A great maths video tutorial site that covers all the basics. Great to use for extra support or home study guides. http://ictmagic.wikispaces.com/Maths

A great set of dice. Choose from one, two or three six-sided dice. You can also get one with + or - with one normal die. http://ictmagic.wikispaces.com/Maths

A collection of 15 games for younger learners about various maths topics. http://ictmagic.wikispaces.com/Maths

A nice collection of online maths tools, including a colour spinner, coin thrower, graph & chart tools, fractions illustrator and many more. http://ictmagic.wikispaces.com/Maths

How big a role does randomness play in our lives? Do we live in a world of magic and meaning or … is it all just chance and happenstance? To tackle this question, we look at the role chance and randomness play in sports, lottery tickets, and even the cells in our own body. Along the way, we talk to a woman suddenly consumed by a frenzied gambling addiction, two friends whose meeting seems purely providential, and some very noisy bacteria.

Good advice. It probably applies to introductory college teaching as well.