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"Students learn mathematic skills and concepts best when there is a learning atmosphere of fun and connection. Gisele Glosser at Math Goodies knows this and has developed Math Mania Competition so you can coach your class to victory in the worldwide Math Mania Competition!"

An open source "general-purpose" computer algebra system.

"Mathics is a general-purpose computer algebra system. Enter queries and submit them by pressing Shift + Return. See the gallery for some neat examples or the documentation for a full list of supported functions. Mathics uses MathJax to display beautiful math."

Includes a section on math apps for different grade levels

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"Schoolhouse Rock may be the standard for music-based educational videos, but YouTube is leading the renaissance of educational songs and dances. Using music as a lure for educational content isn't new, but it's being widely adopted, thanks to the accessible and sharable nature of YouTube."

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"π has fascinated mathematicians, engineers and other people for centuries. It is a mathematical constant that is the ratio of a circle's circumference (C) to its diameter (d); This also explains why and how this number got its name: the lowercase π was first adopted in 1706 as an abbreviation for this number because it is the first letter of the Greek for "perimeter", specifically of a circle." Introduces a video by Numberphile explaining more about the determination of π

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."

Discusses theory of motivational learning in educational games and presents a research study involving 115 elementary school students in math class using digital game-based learning

"SRI International, Worcester Polytechnic Institute (WPI), and the University of Maine have received a $3.5 million award from the Institute of Education Sciences at the U.S. Department of Education to evaluate the effectiveness of an online tutoring system for mathematics homework. The research team will study seventh-grade mathematics students and teachers in more than 50 schools throughout Maine using WPI's ASSISTments system. ASSISTments aims to transform homework by giving students instant feedback and tutoring adapted to their individual needs. It also provides teachers with customized reports each morning on their students' nightly progress. Teachers in the study will receive training in how to use these reports to adapt their lesson plans to better suit students' needs."

A description of mathematicians' and other scientists recent boycott of Elsevier publishing for its high prices and practices to hinder open distribution of scientific knowledge, as well as a comparison of scholarly mathematics journals pricing among major publishers, and introduction to an ongoing movement of mathematicians organized to fix a "broken" scholarly publishing system

Games devised by Ming Ming Chiu, education professor at University of Buffalo, teaching math in everyday phenomena, link to YouTube videos included

"Take Back Math's Algebra, Pre-Algebra, and Algebra Readiness mobile apps are created by a credentialed, experienced California math teacher who has a passion for math education. These apps offer full math courses with easy to follow instruction that can really help students."

by Penta, Michael K., M.S., UNIVERSITY OF MASSACHUSETTS LOWELL, 2011, 83 pages; 1507796 Abstract record for a thesis completed in December 2011, fulltext requires subscription or purchase. A news story on the departmental blog http://blog.uml.edu/cs/2011/12/penta_ms_video_games_for_math_learning.html describes the kinds of games involved, the participants and the results.

"An interesting group participation project for the Manchester Science Fair: growing sunflowers" Includes video on Fibonacci sequences in nature with the example of sunflowers

"The revolutionary calculator that shows the answer only when you also enter a suitable mental estimate." (I have no connection with this company or product.)

"An average person can read out approximately 120 digits/min. Keeping this pace it would take more than 158,000 years to recite the 10 trillion digits of π discovered this year and roughly 3 weeks to read out the 4 million digits visualized here."

"Diagramly is a free online diagram drawing application. You can use it to create UML, entity relationship, org charts, BPMN and BPM, database schema and networks. Also possible are telecommunication network, workflow, flowcharts, maps overlays and GIS, electronic circuit and social network diagrams. It's like a mini version of Visio in your browser."

A study on the efficacy of introducing game-like achievements in classroom learning, with math as one of the examples, see appendices

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."

"The purpose of this study is to determine the effect of supplemental instruction using technology on the attitude toward mathematics of fifth grade students with learning disabilities in a classroom."

Math Goes to the Movies Burkard Polster and Marty Ross"Mel Gibson teaching Euclidean geometry, Meg Ryan and Tim Robbins acting out Zeno's paradox, Michael Jackson proving in three different ways that 7 x 13 = 28. These are just a few of the intriguing mathematical snippets that occur in hundreds of movies."