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"A research team led by Carnegie Mellon University's Robert Siegler has identified a major source of the gap -- U. S. students' inadequate knowledge of fractions and division. Although fractions and division are taught in elementary school, even many college students have poor knowledge of them. The research team found that fifth graders' understanding of fractions and division predicted high school students' knowledge of algebra and overall math achievement, even after statistically controlling for parents' education and income and for the children's own age, gender, I.Q., reading comprehension, working memory, and knowledge of whole number addition, subtraction and multiplication. Published in Psychological Science, the findings demonstrate an immediate need to improve teaching and learning of fractions and division."

"supports middle grades educators with high-quality, standards-based resources and promotes collaboration and knowledge-sharing among its users. Educators use MSP2 to increase content knowledge in science, mathematics, and appropriate pedagogy for youth ages 10 to 15. MSP2 employs social networking and digital tools to foster dynamic experiences that promote creation, modification, and sharing of resources, facilitate professional development, and support the integration of technology into practice."

"Why Learn It (WLI) aims to address the issue of motivation around learning math by helping students explore the beauty and relevance of what they would otherwise dismiss as inconsequential in school. Targeting late middle-school and early high-school students, WLI takes a hybrid approach to cultivat- ing motivation. It leverages the engagement value of short (approximately three-minute long) videos depicting real people talking about how math and computational thinking are critical to their successes in a number of professional areas. Students then complete a series of interactive exercises that help students explore an application area discussed in the video in more detail. These exercises, however, are not simply drill problems aimed at making students experts in a particular content area. Instead, they are multi-step assignments that require the students to draw upon both detailed mathematical knowledge and a big picture view of how this knowledge can be used to draw useful, meaningful conclusions. The exercises are focused on bridging the worlds of number, images, and sounds in or- der to help students build intuition around a particular topic. Therefore, while some questions have objectively correct responses, others require students to gather knowledge they have built through answering previous questions within the packet to draw new inferences. Hints are provided along the 1 way to ensure students receive assistance when necessary. Finally, WLI is housed online and is oered for free, signifying minimal barriers to usage by educators and students."

"This site represents a collective effort to explore teaching and learning in the 21st century and beyond. The list of teachers and student knowledge, skills, and dispositions was initially generated by teachers and administrators from Rockland County BOCES who explored a number of resources and references on 21st learning. The lists are a work in progress and will benefit greatly from the continued exploration and addition of outcomes by those who visit this site."

"PlanetMath is a virtual community which aims to help make mathematical knowledge more accessible. PlanetMath's content is created collaboratively: the main feature is the mathematics encyclopedia with entries written and reviewed by members."

The Middle School Portal 2: Math and Science Pathways project (MSP2) is a component of the National Science Digital Library (NSDL) that supports middle school educators and youth by offering contextualized, high-quality resources and promotes interactivity, collaboration, and knowledge-sharing among its users. Educators can access MSP2 to increase content knowledge in the areas of science, mathematics, and technology, and to build knowledge on developmentally appropriate pedagogy for youth aged 10 to 15. MSP2 also connects middle school youth to fun and engaging information on math, science, and technology, as well as health, safety, and career exploration. Web tools such as blogs, wikis, podcasts, RSS feeds, and social networking services are being used in the continued development of MSP2 to transform passive, text-based information into a dynamic, collaborative experience that promotes the creation, modification, and sharing of resources, and facilitates professional development. MSP2 is a project of The Ohio State University, National Middle School Association, and Education Development Center, Inc., and is funded by the National Science Foundation.

Today's Wolfram|Alpha is the first step in an ambitious, long-term project to make all systematic knowledge immediately computable by anyone. You enter your question or calculation, and Wolfram|Alpha uses its built-in algorithms and growing collection of data to compute the answer.

Computational Knowledge Engine

From the National Center of Education Statistics: "The Trends in International Mathematics and Science Study (TIMSS) 2011 is the fifth administration of this international comparative study since 1995 when first administered. TIMSS is used to compare over time the mathematics and science knowledge and skills of fourth- and eighth-graders. TIMSS is designed to align broadly with mathematics and science curricula in the participating countries. The results, therefore, suggest the degree to which students have learned mathematics and science concepts and skills likely to have been taught in school. In 2011, there were 54 countries and 20 other educational systems that participated in TIMSS, at the fourth- or eighth-grade level, or both. The focus of the report is on the performance of U.S. students relative to their peers in other countries in 2011, and on changes in mathematics and science achievement since 2007 and 1995. For a number of participating countries and education systems, changes in achievement can be documented over the last 16 years, from 1995 to 2011. This report also describes achievement within the United States by sex, race/ethnicity, and enrollment in public schools with different levels of poverty. In addition, it describes achievement in nine states that participated in TIMSS both as part of the U.S. national sample of public and private schools as well as individually with state-level samples of public schools."

My name is Patrick Honner. I teach mathematics at Brooklyn Technical High School, a large, public, specialized high school in Brooklyn, New York. As a NYC public school teacher I have taught everything from Introductory Algebra to Multivariable Calculus.  I mentor student research in mathematics, and I am actively involved in extracurricular mathematics programs both in my school and around New York City. Math research is an instructional focus of mine. Independent, investigative, mathematical research projects can be crafted by and for students at all levels of knowledge, in all areas of interest. A primary objective of MrHonner.com is to exhibit the math all around us in order to stimulate question-posing and hypothesizing, the first steps in structuring a good research project. I am a two-time recipient of Math For America's Master Teacher Fellowship, and I am active in MfA's professional community.

A site from the US with a superb collect of professional development videos for teachers to improve their skills and knowledge of teaching and learning in a range of areas and subjects. http://ictmagic.wikispaces.com/Video%2C+animation%2C+film+%26+Webcams

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

Play space invaders and save the world by using your knowledge of place value with this good flash game. http://ictmagic.wikispaces.com/Maths

Use your knowledge of coordinates and shape transformation to keep on par with this transformation golf whiteboard reasource. http://ictmagic.wikispaces.com/Maths

Battle evil robots and save the world with your knowledge of angles with this great BBC maths adventure. http://ictmagic.wikispaces.com/Maths

A fun interactive maths game from the BBC where players complete tasks using their knowledge of 2D shapes. http://ictmagic.wikispaces.com/Maths

A fun futuristic maths game where you need to save the world with your knowledge of number patterns. http://ictmagic.wikispaces.com/Maths

A great interactive Maths video and games from the BBC. Solve the puzzles by using your knowledge of money. http://ictmagic.wikispaces.com/Maths

These puzzles are simple enough for anyone to try, but need some thinking to see how they work. They are based on logical thought rather than knowledge or memory or skill or arithmetic. They are also counter-intuitive (another way of saying that they're tricky!) Even if you can't work them out for yourself, once you know the trick, you can fool other people.

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here. On our website you will find thousands of our free mathematics enrichment materials (problems, articles and games) for teachers and learners from ages 5 to 19 years. All the resources are designed to develop subject knowledge, problem-solving and mathematical thinking skills. The website is updated with new material on the first day of every month. For guidance on how to find the right resources for you, go to the Help section of the site.

A group in New York City. "The School of Mathematics was founded to cultivate a natural and stress-free environment where anyone can study, discuss, explore, and experience mathematics. No prior knowledge is assumed. Whether you are an avid student of mathematics or have always shied away saying "math is not for me", you are welcome. " Features a Meetup page listing events and articles describing mathematical principles. See "The Power of Mathematics" http://pulse.me/s/3iW2A and A Mathematician's Lament http://thewe.net/math/lockhart.pdf