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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."

Abstract: "A simulated academic career was combined with inquiry-based learning in an upper-division undergraduate mathematics course. Concepts such as tenure, professional conferences and journals were simulated. Simulation procedures were combined with student-led, inquirybased classroom formats. A qualitative analysis (ethnography) describes the culture that emerged within the simulation during a pilot test. A discussion follows evaluating the potential for career simulations to invite students to consider graduate studies and academic careers in the STEM disciplines."

LOGIN: http://tinyurl.com/math20event Mind the Daylight Saving Time! Geoff Roulet and Jill Lazarus will discuss their use of wikis, GeoGebra and Jing with students, and invite participants for an extended DIY exploration. More details concerning the software required are below. All events in the Math Future weekly series: http://mathfuture.wikispaces.com/events The recording will be at: http://mathfuture.wikispaces.com/SupportingCollaborativeMath Your time zone: http://bit.ly/z69yzS About Blended Mathematical Collaboration using a Wiki, GeoGebra and Jing This discussion centers on the use of computer tools in a high school class. The goal was to develop a "math-talk learning community" to establish mathematics communication and collaboration as a classroom norm. In support of this we have combined the use of a wiki, GeoGebra, and Jing. We would like to invite educators who have experience with wikis, GeoGebra and screencasts, or who would like to learn more, to discuss our project and share their ideas. Event Hosts Geoff is the skipper of and Jill a crew member on Jeannie, a J35 racing yacht. When not sailing, they are mathematics educators. After graduate work at the University of Waterloo, Geoff Roulet began teaching mathematics, computer science, and chemistry at Roland Michener Secondary School in Timmins, northern Ontario. In the late 1970s, when personal computers for computer science were placed in the back of his classroom, Geoff began using these to support student learning in mathematics. Since then he has been involved in ICT use in teaching and learning at all grades and in all subjects, but with a particular focus on mathematics. Teaching was followed by a short spell of curriculum development and support work with the Ontario Ministry of Education and then in 1990 a move to the Faculty of Education, Queen's University at Kingston. Along the way Geoff completed M.Ed. and D.Ed. degrees at the Ontario Institute for Studies

A platform combining a searchable database of the "Jahrbuch �ber die Fortschritte der Mathematik" (1868-1942) and digitized mathematical publications from the Digital Library Göttingen. Cannot tell if the project is active or being updated at the moment.

kanakku is a free web 2.0 application that is a combination of a spreadsheet and a calculator. This application is designed to be used on either IE 7+ or Firefox (Safari seems to be compatible, but further testing is ongoing). All operating systems that use these browsers should be able to use this Website.

Sage is a free open-source mathematics software system licensed under the GPL. It combines the power of many existing open-source packages into a common Python-based interface.

Project T.R.I.G. members are peparing for their next mission. Can you find the right combination of launch angle and velocity to hit increasingly difficult targets?

"LyX combines the power and flexibility of TeX/LaTeX with the ease of use of a graphical interface."

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

Inspired by the work of Magdeline Lampert, interactive problems offer educators a fun tool to help learners think about "mathematical principles" within the familiar context of coinage. We love her idea that playing with combinations and recombinations of denominations promotes engagement with multiplicative thinking, and have produced this as a result.

This is a collection of interactive lessons from a Grade 4 Math course developed by Winpossible - the course uses an innovative instruction format by combining an engaging animated character's visual and voice with Winpossible's unique ChalkTalk™ technology (patent pending) in order to replicate the "classroom experience" for students. The course matches with the Grade 4 correlations of most states in the US.

From the abstract: "ew innovations by math- ematicians themselves are starting to harness the power of social computation to create new modes of mathematical production. We study the effectiveness of one such system, and make proposals for enhancement, drawing on AI and computer based mathematics. We analyse the content of a sample of questions and responses in the community ques- tion answering system for research mathematicians, math- overflow . We find that mathoverflow is very effective, with 90% of our sample of questions answered completely or in part. A typical response is an informal dialogue, allowing error and speculation, rather than rigorous mathematical argument: 37% of our sample discussions acknowledged er- ror. Responses typically present information known to the respondent, and readily checked by other users: thus the effectiveness of mathoverflow comes from information shar- ing. We conclude that extending and the power and reach of mathoverflow through a combination of people and machines raises new challenges for artificial intelligence and compu ta- tional mathematics, in particular how to handle error, anal - ogy and informal reasoning."

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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"Developing a 21st Century Global Library for Mathematics Research discusses how information about what the mathematical literature contains can be formalized and made easier to express, encode, and explore. Many of the tools necessary to make this information system a reality will require much more than indexing and will instead depend on community input paired with machine learning, where mathematicians' expertise can fill the gaps of automatization. This report proposes the establishment of an organization; the development of a set of platforms, tools, and services; the deployment of an ongoing applied research program to complement the development work; and the mobilization and coordination of the mathematical community to take the first steps toward these capabilities. The report recommends building on the extensive work done by many dedicated individuals under the rubric of the World Digital Mathematical Library, as well as many other community initiatives. Developing a 21st Century Global Library for Mathematics envisions a combination of machine learning methods and community-based editorial effort that makes a significantly greater portion of the information and knowledge in the global mathematical corpus available to researchers as linked open data through a central organizational entity-referred to in the report as the Digital Mathematics Library. This report describes how such a library might operate - discussing development and research needs, role in facilitating discover and interaction, and establishing partnerships with publishers."

Forthcoming June 2012: "From the pyramids and the Parthenon to the Sydney Opera House and the Bilbao Guggenheim, this book takes readers on an eye-opening tour of the mathematics behind some of the world's most spectacular buildings. Beautifully illustrated, the book explores the milestones in elementary mathematics that enliven the understanding of these buildings and combines this with an in-depth look at their aesthetics, history, and structure."

"Research has been conducted on how to aid blind peoples' perceptions and cognition of scientific data and, specifically, on how to strengthen their background in mathematics as a means of accomplishing this goal. In search of alternate modes to vision, researchers and practitioners have studied the opportunities of haptics alone and in combination with other modes, such as audio."

Abstract: "Shoot x Shoot is the first game for EduTurtle. It's a 6th grade Math game that combines topics like "Multiples", "Cartesian Plane", "International and English measurement systems", "Percentages and fractions". Through a pre game test we obtain a score of the students on the subjects then is a game time and before this time we measure again with a similar test the score of the students in order to measure an influence of the game on the students about this subjects. The online platform EduTurlte offers educational games for elementary schools children. In a near future at http://www.eduturtle.com girls and boys may come to play (and at the same time learn and reinforce their knowledge) by keeping track of their progress in games on various topics at different grades. It is also a way to reinforce the lessons learned in the classroom and/or books through games that capture their attention over entertainment. "

Abstract: "How can smartphones apps enrich the learning of mathematics in vocational education? This article examines how mathematics teaching can be enriched by apps using smartphone sensors such as gyroscope, compass, camera, and touch screen in a gaming context. An iterative and participatory design process involving two classes of carpentry students from different vocational colleges resulted in two highly successful and course-relevant games based on trigonometry. Each game consists of quests and missions whose successful completion unlocks more theoretical multiple-choice exercises for the classroom. The combination of competition to unlock exercises, competition for placing on the high-score list, and physical activity proved very motivating for the students and was also approved by their teachers. In this article we describe our design principles, the overall game architecture and the games themselves. We talk about our experience in implementing our design process and subsequently summarize the pros and cons of the application and the smartphone platform and how the app developed contributes to vocational mathematics teaching"

Lecture from 2010 ""Mathematics and Art: The Good, the Bad, and the Pretty," "use of mathematics to create realistic art"

From the abstract: "The problem addressed by this study is the need to identify practical predictors of success for community college developmental mathematics students in online, hybrid and seated course delivery formats. This study examined two possible predictors of success, mathematics self-efficacy and technology self-efficacy, in the three delivery formats and how they related to performance on a final assessment. The study used a quantitative research design employing binomial logistic regression to determine if the independent variables (math self-efficacy and technology self-efficacy) were significant in predicting the outcome category (score on the final assessment dichotomized about the mean). Next linear regression analysis was used to build a predictor equation for a particular score on the outcome variable. A previously developed survey and an adapted version of another survey were combined to measure the independent variables; demographic factors were also measured for descriptive purposes. Binomial logistic regression analysis showed that math self-efficacy was a valid predictor of success for the developmental math students in this study but technology self-efficacy was not. Regression analysis produced a valid equation to predict standard score from average math selfefficacy score. When separated into groups according to course format, math self-efficacy was only a valid predictor for students in hybrid courses. The implications of these results are discussed and recommendations are made for further research."