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?"

"The cookbook contains a succinct representation of various topics in probability theory and statistics. It provides a comprehensive reference reduced to the mathematical essence, rather than aiming for elaborate explanations."

"Several of our classes involve students using mathematical expressions, but there was no way for us to automatically check this work. The stated solution to a problem may be x+y, but if a student answers y+x, our system needs to understand that this is also correct." "sympy, an open source Python library for symbolic mathematics," is proposed as a solution.

Held in Taipei, Taiwan, July 18-22, 2012. Theme. Opportunities to Learn in Mathematics Education Conference website: http://tame.tw/pme36/

A policy brief from the National Center for Research on Evaluation, Standards and Student Testing includes positive findings on computer games used to improve student math performance.

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."

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

New York Times story of Neil Heffernan's creation of a computerized tutor designed to emulate actual teachers, eventually becoming ASSISTments

Researcher at University of Chicago studied first and second graders

"Mathematician Shinichi Mochizuki of Kyoto University in Japan has released a 500-page proof of the abc conjecture, which proposes a relationship between whole numbers - a 'Diophantine' problem. The abc conjecture, proposed independently by David Masser and Joseph Oesterle in 1985, might not be as familiar to the wider world as Fermat's Last Theorem, but in some ways it is more significant. "The abc conjecture, if proved true, at one stroke solves many famous Diophantine problems, including Fermat's Last Theorem," says Dorian Goldfeld, a mathematician at Columbia University in New York. "If Mochizuki's proof is correct, it will be one of the most astounding achievements of mathematics of the twenty-first century." See additional commentary at: http://bit-player.org/2012/the-abc-game?utm_src=HN2

"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. "

"Math tutorials for students in introductory geosciences"

This site features a math category, math concepts explained informed by the principle that "math is no about equations than poetry is about spelling .. .[but exist] to convey an idea."

Description of projects supported by the Defense Advanced Research Projects Agency (DARPA)

A slide show of artworks influenced by and demonstrating mathematical concepts

Mathematics in Popular Culture Essays on Appearances in Film, Fiction, Games, Television and Other Media Edited by Jessica K. Sklar and Elizabeth S. Sklar Foreword by Keith Devlin Print ISBN: 978-0-7864-4978-1 Ebook ISBN: 978-0-7864-8994-7 25 photos, appendices, notes, bibliographies, index 353pp. 2012

Published 2012 "Circles Disturbed brings together important thinkers in mathematics, history, and philosophy to explore the relationship between mathematics and narrative. The book's title recalls the last words of the great Greek mathematician Archimedes before he was slain by a Roman soldier--"Don't disturb my circles"--words that seem to refer to two radically different concerns: that of the practical person living in the concrete world of reality, and that of the theoretician lost in a world of abstraction."

Published 2012, a book on the quantitative reasoning's use in life

"Get a new math problem to share with your kids every day!"

Text from an interview with John H. Barrow, Professor of Mathematical Sciences at the University of Cambridge, discussing history of cultural understanding of infinity, as well as different understandings of infinity - mathematical, physical, cosmological