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Experience Geometry on your desktop and on the web Easily create startling geometric constructions! Starting from simple triangle relations, continuing with trigonometric theorems up to fractals and transformation groups Cinderella lets you create and manipulate visualizations in an intuitive, yet powerful way. Using Java® technologies, constructions are seamlessly exported to the WWW. And even better: you can get this for free!

From the abstract: "We tested the hypothesis that certain aspects of nonperceptible Euclidian geometry map onto intuitions of space that are present in all humans, even in the absence of formal mathematical education. Our tests probed intuitions of points, lines, and surfaces in participants from an indigene group in the Amazon, the Mundurucu, as well as adults and age-matched children controls from the United States and France and younger US children without education in geometry. The responses of Mundurucu adults and children converged with that of mathematically educated adults and children and revealed an intuitive understanding of essential properties of Euclidean geometry." (Full text requires subscription.

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/

A superb 'Must Try' HTML based collaborative whiteboard site. The tools are wonderfully simple. No log in required. Just share the page link to work collaboratively. Combine with a tool like Skype to share a lesson across classes, schools or even countries. http://ictmagic.wikispaces.com/ICT+%26+Web+Tools

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.

Pi Cubed is a visual math application for the iPhone / iPod touch that lets you perform calculations as you would on a piece of paper. By using an animated, touch-based interface, even the most complex mathematical expressions can be entered and instantly evaluated. These expressions are typeset as they would be in a textbook or on a blackboard. Calculations are displayed with up to 34 digits of decimal precision. Additionally, a library of over 150 equations ships with the application.

Using a balance strategy to solve equations. Great tool for teaching properties of equality when solving equations. Can even make your own equations

"I love patterns, diagrams and pictures. Ask me to record information and it gets plastered over a page in bubbles, a mind map or random boxes. I'm not particularly artistic but I find I like to store information in this way. Even with telephone numbers - I remember the pattern the digits make, not the number itself."

"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."

Abstract: "Why do people contribute content to communities of question- answering, such as Yahoo!Answers? We investigated this issue on MathOverflow, a site dedicated to research-level mathematics, in which users ask and answer questions. Math- Overflow is the first in a growing number of specialized Q&A sites using the Stack Exchange platform for scientific collab- oration. In this study we combine responses to a survey with collected data on posting behavior on the site. User behavior suggests that building reputation is an important incentive, even though users do not report this in the survey. Level of expertise affects users' reported motivation to help others, but does not affect the importance of reputation building. We discuss the implications for the design of communities to target and encourage more contributions."

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"Most of these books are beginner level books, simply introducing the concept and terminology. However, there are a few at the end that are really great, and begin to introduce equivalent fractions and even discuss the numerator and denominator."

"A physicist faced with a fine for running a stop sign has proved his innocence by publishing a mathematical paper, and has even won a prize for his efforts. Dmitri Krioukov is a physicist based at the University of California in San Diego."

Abstract:"Prime Climb is an educational game that provides individual support for learning number factorization skills in the form of hints based on a model of student learning. Previous studies with Prime Climb indicated that students may not always be paying attention to the hints, even when they are justified (i.e. based on a student model's assessment). In this thesis we will discuss the test-bed game, Prime Climb, and our re-implementation of the game which allowed us to modify the game dynamically and will allow for more rapid prototyping in the future. To assist students as they play the game, Prime Climb includes a pedagogical agent which provides individualized support by providing user-adaptive hints. We then move into our work with the eye-tracker to better understand if and how students process the agent's personalized hints. We will conclude with a user study in which we use eyetracking data to capture user attention patterns as impacted by factors related to existing user knowledge, hint types, and attitude towards getting help in general. We plan to leverage these results in the future to make hint delivery more effective."

"Some people love math, some hate it, and some are scared of it. Math for the Frightened provides a trauma-free entry into the world of numeracy, written by someone who is on your side. It even gives away the big secret: math really is useful"

"this essay will focus on the implications of the design and implementation of games for teaching and learning mathematics via mobile devices as one specific means to address the gap in achievement in mathematics, and even more specifically, how it might further address the equity gap among minorities. "

A great maths site with PDF worksheets and online activities to help students learn a range of maths topics at every stage of their school career. http://ictmagic.wikispaces.com/Maths

"As a medium for learning, digital games provide promising possibilities to motivate and engage students in subject learning. In this study, a game-based learning system, My-Pet- My-Quest, is developed to support pupils' math learning. This is due to the fact that most students in Taiwan have relatively lower positive attitude towards math learning, even though their math performance is prominent. To this end, a three-tire framework is proposed to guide the design of the My-Pet-My-Quest system. A quasi-experiment was conducted to examine the influence of game quests on pupils' enjoyment and goalpursuing in math learning. The results revealed that game quests were favored by students in terms of enjoyment, goal orientation, and goal intensity. Possible reasons for these results and a discussion of related issues are presented in this paper."

I wish we could add tags to other people's items without overwriting their authorship!

Steven, you shared a link and I wanted to add a tag to it. However, Diigo does not have a separate "add tag" function. The only way to add a new tag is to share the same link to the group, again. However, it overrides the author - now the link says "Shared by Maria Droujkova" even though you linked it first. I hope it makes sense. We discussed it with Darren when I first started to use Diigo Groups: http://groups.diigo.com/group/math-links/content/can-you-add-tags-to-other-people-s-bookmarks-959243

Hi Maria, thank you for the clarification. I now understand your first comment.