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An online college math course under development including the following topics (so far): Sets Math Foundations Linear Equations Solving and Graphing Inequalities Graphing and Factoring Quadratic Equations Properties of Exponents Logarithms and Exponential Equations

This great maths site has an amazing collection of maths self-marking problem solving questions. Search by age level or topic. This covers both Primary and Secondary levels. Topics include numbers, geometry, algebra, data analysis, probability and more. http://ictmagic.wikispaces.com/Maths

"we are asked to solve problems instead of also creating them"

from the abstract: "Mathematics is now at a remarkable in exion point, with new technology radically extending the power and limits of individuals. Crowd- sourcing pulls together diverse experts to solve problems; symbolic computation tackles huge routine calculations; and computers check proofs too long and complicated for humans to comprehend. The Study of Mathematical Practice is an emerging interdisciplinary eld which draws on philoso- phy and social science to understand how mathematics is produced. Online mathematical activity provides a novel and rich source of data for empirical investigation of mathematical practice - for example the community question-answering system mathover ow contains around 40,000 mathe- matical conversations, and polymath collaborations provide transcripts of the process of discovering proofs. Our preliminary investigations have demonstrated the importance of \soft" aspects such as analogy and creativity, alongside deduction and proof, in the production of mathematics, and have given us new ways to think about the roles of people and machines in creating new mathematical knowledge. We discuss further investigation of these resources and what it might reveal. Crowdsourced mathematical activity is an example of a \social machine", a new paradigm, identi- ed by Berners-Lee, for viewing a combination of people and computers as a single problem-solving entity, and the subject of major international research endeavours. We outline a future research agenda for mathematics social machines, a combination of people, computers, and mathematical archives to create and apply mathematics, with the potential to change the way people do mathe- matics, and to transform the reach, pace, and impact of mathematics research."

From the abstract: "is research develops around a technological intervention intended to transform a peer produced reference resource into a peer produced learning environment. An early Web 2.0 community for mathematics, PlanetMath.org, will henceforth become a mathematical practicum, and a laboratory for learning science."

Each day of the school year I present my students with an estimation challenge. I love helping my students improve both their number sense and problem solving skills. I'd like to share the estimation challenges with you and your students. Here's a handout for your students. Happy Estimating!

CK-12 Foundation's Basic Algebra, Volume 1 Of 2 FlexBook covers the following six chapters:Expressions, Equations, and Functions - covers the relationships among expressions, equations, and functions when variables are present. Also explored is how these ideas can be shown on graphs. Properties of Real Numbers - covers various forms that rational numbers can assume, including fractions, integers, and square roots. Also considered are different operations for manipulating rational numbers. Linear Equations - introduces students to methods of solving simple equations involving variables. Also covered are ratios, scale, and the percent equation. Graphing Linear Equations and Functions - provides students with a more in-depth understanding of equations by introducing coordinate plane graphing concepts such as intercepts and slope. Writing Linear Equations - focuses on writing various forms of equations based upon real-world data and already existing lines. Students will also learn about predicting data using a fitted line. Linear Inequalities and Absolute Value; An Introduction to Probability - covers operations of inequalities, including addition, subtraction, multiplication and division. These principles are then applied to absolute value and probability.

I'm rubbish at Maths' are words that regularly come out of mouth during my adult life. This fixed mindset is deep rooted. When faced with a Maths challenge I have immediate flashbacks to those bottom set Maths lessons where everyone else were given more complicated problems with bigger numbers to solve. I may have a fixed mindset in terms of my own capabilities, but I believe every child has the capacity to be a fantastic Mathematician, if they are given the opportunity and are encouraged to have the belief in the 'power of yet'.

Abstract: "In traditional mathematics education, students have typically been asked to solve lots of tedious and uninteresting exercises for developing the arithmetic skills of addition and subtraction. The paper provides an account of learning arithmetic skills in a more interesting way through the collaborative playing of a puzzle game. 83 students in three classes in Grade 4 were asked to solve arithmetic problems with three different methods: via playing an adapted "cross number puzzle" game on Group Scribbles (GS) collaboratively, via playing the same game on GS individually, and via the traditional method of teaching and learning, i.e. with no games at all. Analysis of the pre and post learning achievement data reveals that the two classes who played the game performed better than the control class, with the collaborative class students achieving better than the individual class students. By playing the game, low-ability students, in particular, made the most significant progress in arithmetic capability and in building up their confidence in doing arithmetic calculations."

A Kickstarter project for a children's math and science-oriented detective story: "This is the made up story about two very real girls - Ada, the world's first computer programmer, and Mary, the world's first science fiction author - caught up in a steampunk world of hot-air balloons and steam engines, jewel thieves and mechanical contraptions. For readers 8-12. "This is a pro-math, pro-science, pro-history and pro-literature adventure novel for and about girls, who use their education to solve problems and catch a jewel thief. Ada and Mary encounter real historical characters, such as Percy Shelley, Charles Babbage, Michael Faraday, and Charles Dickens - people whom the girls actually knew. If Jane Austen wrote about zeppelins and brass goggles, this would be the book."

Video games are hard, and that's official Super Mario, Donkey Kong and other classic games belong to class of hard mathematical puzzles, and could be used to solve real-world problems IF YOU have ever struggled to complete classic Nintendo games, don't feel bad?- they are officially difficult.

A great flash based angle finding and protractor whiteboard resource. See a variety of angle measuring activities and use the virtual protractor to solve them. http://ictmagic.wikispaces.com/Maths

Get a new maths question to solve every day of the year with this superb site. It's great for lesson starters and the answer and explanation can be shown with the click of a button. Search questions for other dates by clicking the link at the bottom of the screen. http://ictmagic.wikispaces.com/Maths

"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

"Monkey Tales Games is a series of 3D video games to support the learning of maths, created in 2011 by die Keure Educatief and Larian Studios from Belgium. The series is made up of five exciting and fun video games with age-specific themes where the player has to solve 3D puzzles." ...

relationship between "puzzle-solving and mathematical skills"

"a weekly activity for students of grades 8 to 12 and post-secondary students. The activities are something beyond classroom traditional in-class and curriculum-based learning. Presentations by Circle members or by invited mathematicians and scientists, discussion about specific topics and solving math problems, puzzles and games; review math/science history and preparation for maths contests and Olympiads are the main activities in the GMC."

Study of 6th graders in China using virtual Tangram puzzle to improve collaboration and learning of geometric concepts and problem-solving