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I know that this was already shared with the math group, but this is to the main site. Not just the PDF file. These are videos to help put reasons behind why we would learn math concepts and what are they related to. I think they can also serve as a good model for student math projects.

"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)."

"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."

A presentation from the "International Conference on Innovations in Learning and Technology: Asia-Pacific Perspectives", see http://capiconf.uvic.ca/viewabstract.php?id=296&cf=10 for abstract and references

"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."

"What if I were to tell you that Angry Birds had been surpassed in the App Store - by a game that involves solving algebra equations? Because that's what DragonBox did."

A video from minutephysics

Review of 1999 book on cosmology demonstrating universal phenomena contingent on six numbers. "Forget those 1,000 things you need to do before you die, the 10 commandments and seven deadly sins. Concentrate instead on six impossible things that, as the White Queen advised Alice, you must try to believe before breakfast. Without them there would be no galaxies of stars, no chemistry, no people, no books and no breakfast."

"The Motion Math game follows a star trying to return to its home in a far-away galaxy. Moving up through different levels motivates a player to keep playing and keep learning, while bonus levels practice an important variation on the number line theme - is one fraction more or less than another?"

by John Yoo, Yuba Community College, a series of columns on math history, written for the CMC3 newsletter

"In In Pursuit of the Unknown, celebrated mathematician Ian Stewart uses a handful of mathematical equations to explore the vitally important connections between math and human progress."

Discussion of TeXpad, a LaTeX editor for iPad and iOS requiring considerably less memory and storage than similar apps

first mathematics education seminar: Understanding Abstract Concepts in the Context of Abstract Algebra. Mathematics is a science of numbers, quantity, and space. All of the listed components are abstract ideas. How do we learn abstraction?"

Review of a children's book published in 2013

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2013 memoir by Edward Frenkel chronicling his journey from the Soviet Union (where he was prevented from studying at Moscow State University) to teaching at Harvard and University of California, and the role and centrality of mathematics in his life. Subtitled the Heart of Hidden Reality

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Give this website a try. It is one of my favorites. My students love it!! One of my favorite lessons, "The More Money the More Problems". Give it a try

"Beauty of Mathematics" from Parachutes.TV "showing the mathematics of different phenomena in equation, visualization, and realization. "

"Measurement explains how math should be done. With plain English and pictures, [Lockhart] makes complex ideas about shape and motion intuitive and graspable, and offers a solution to math phobia by introducing us to math as an artful way of thinking and living."

Great site that has a ton of math videos produced by a great teacher at SLA (Science Leadership Academy). It is all teacher tube videos.

Abstract: "An innovative mathematics game shown to be effective for low-achieving mainstream students is tested in special education for learners with intellectual disabilities. The game relies on a graphical, intuitive representation for numbers and arithmetic operations to foster conceptual understanding and numbers sense, and provides a set of 2-player games to develop strategic thinking and reasoning skills. The game runs on computers and interactive white boards, and as an augmented reality application at a science centre. We compare its use in special education and mainstream education with respect to usage, performance levels and learning gain. The game has been used by teachers in special educations, with gains in mathematical understanding, strategic thinking and communication skills as effects."