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Prometheus Books The Glorious Golden Ratio [978-1-61614-423-4] - "For centuries, mathematicians, scientists, artists, and architects have been fascinated by a ratio that is ubiquitous in nature and is commonly found across many cultures. It has been called the "Golden Ratio" because of its prevalence as a design element and its seemingly universal esthetic appeal. From the ratio of certain proportions of the human body and the heliacal structure of DNA to the design of ancient Greek statues and temples as well as modern masterpieces, the Golden Ratio is a key pattern that has wide-ranging and perhaps endless applications and manifestations. What exactly is the Golden Ratio? How was it discovered? Where is it found? These questions and more are thoroughly explained in this engaging tour of one of mathematics' most interesting phenomena. With their talent for elucidating mathematical mysteries, veteran educators and prolific mathematics writers Alfred S. Posamentier and Ingmar Lehmann begin by tracing the appearance of the Golden Ratio throughout history. They demonstrate a variety of ingenious techniques used to construct it and illustrate the many surprising geometric figures in which the Golden Ratio is embedded. They also point out the intriguing relationship between the Golden Ratio and other famous numbers (such as the Fibonacci numbers, Pythagorean triples, and others). They then explore its prevalence in nature as well as in architecture, art, literature, and technology. "

"This engaging book presents the essential mathematics needed to describe, simulate, and render a 3D world. Reflecting both academic and in-the-trenches practical experience, the authors teach you how to describe objects and their positions, orientations, and trajectories in 3D using mathematics. The text provides an introduction to mathematics for game designers, including the fundamentals of coordinate spaces, vectors, and matrices. It also covers orientation in three dimensions, calculus and dynamics, graphics, and parametric curves. "Visit the book's companion web site, gamemath.com, to download the example code and access other resources.

LOG IN January 24th 9pm ET: http://tinyurl.com/MathFutureEvent Music and mathematics have been linked together for thousands of years, but rarely have students had the opportunity to explore the many connections that exist between them. To try to fill this gap, Mike Thayer of Hyperbolic Guitars is developing a course. At the event, we will discuss the course outline, as well as math and music links in general. All events in the Math Future weekly series: http://mathfuture.wikispaces.com/events The recording will be at http://mathfuture.wikispaces.com/HyperbolicGuitarsCourse Event challenge! Help Mike find a resource - a web page, a video, a music piece - to go with one of the topics in the course outline. Full syllabus and details of the outline: http://hyperbolicguitars.wikispaces.com/Math+%26+Music+Course Major topics: What is sound, anyway? The physics of waves The mathematics of waves Resonance Elasticity The generation of sound by "simple" systems The vibrating string The vibrating rod The vibrating plate (e.g., drumhead or cymbal) Open and closed pipes The Helmholtz resonator (--> the vocal chords) White noise, pink noise The concept of "timbre" The perception of sound Human listeners Other "listeners": Digital recording The interaction between the generator and the listener: the science of acoustics What makes sound become music? What does a listener "listen for" in music? Basics of music and musical notation: Musical descriptions Basics of music: Psycho-physical (auditory) descriptions What makes sound "musical" (

"This is a resource page for anyone who is interested in research in mathematics education." (Facebook)

Math journals provide advantages for students to develop a better understanding of mathematics, with teachers learning their student's views and beliefs regarding math.

Includes Naomi Shah who devised a mathematical model depicting air pollution's effect on asthmatics (10:24), all worth watching

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 Math 2.0 Interest Group is an international network of researchers, educators, families, community leaders and technology enablers. We are collaborating on a variety of research and development projects and conversation threads about social media as it relates to mathematics and mathematics education.

"In this article we introduce the free educational mathematics software GeoGebra. This open source tool extends concepts of dynamic geometry to the fields of algebra and calculus. You can use GeoGebra both as a teaching tool and to create interactive web pages for students from middle school up to college level. Specifically designed for educational purposes, GeoGebra can help you to foster experimental, problem-oriented and discovery learning of mathematics. We will illustrate the basic ideas of the software and some of its versatile possibilities by discussing several interactive examples."

A workshop scheduled in Berkeley, California, Feburary14-16, 2011. "The workshop will discuss what is important and unique to the publishing of mathematical research articles and how we can best ensure that publishing practices support peer reviewed research in the long term. Much of the current discussion is taking place between funders and publishers, including learned societies, but not directly with mathematicians. A second goal is to see if we can find a consensus of opinion on what is important about journal publishing to mathematicians, that is, where the balance lies between the desire for profits from publishing and the broader dissemination of research."

A book by Reuben Hersh and Vera Johnson on the "hidden human, emotional, and social forces that shape mathematics and affect the experiences of students and mathematicians."

Mount Holyoke physics professor Mark Peterson argues that Galileo's applications of mathematics to Dante's Inferno laid the groundwork for his later discoveries (to be expanded on in a forthcoming book: ""Galileo's Muse: Renaissance Mathematics and the Arts" )

Discussion of potential exhibits for the proposed Museum of Mathematics in New York City

There is a Math Future event with MoMath on January 12th at 9:30pm ET http://mathfuture.wikispaces.com/events

An explanation of mathematical exmples in everyday life and a review of the author's mathematical journey from primary school throughout his career. (Published in the US as Here's Looking at Euclid)

From the abstract: "We tested the hypothesis that certain aspects of nonperceptible Euclidian geometry map onto intuitions of space that are present in all humans, even in the absence of formal mathematical education. Our tests probed intuitions of points, lines, and surfaces in participants from an indigene group in the Amazon, the Mundurucu, as well as adults and age-matched children controls from the United States and France and younger US children without education in geometry. The responses of Mundurucu adults and children converged with that of mathematically educated adults and children and revealed an intuitive understanding of essential properties of Euclidean geometry." (Full text requires subscription.

"mathematics in everyday life" (published in 2010), highlights mathematical solutions to everyday problems and points to unsolved questions

ORC enhances teaching and learning by promoting standards-based best practices in mathematics, science, and reading for Ohio schools and universities. ORC serves as a trusted source of easily accessible, peer-reviewed, high-quality, and effective resources.

ORC enhances teaching and learning by promoting standards-based best practices in mathematics, science, and reading for Ohio schools and universities. ORC serves as a trusted source of easily accessible, peer-reviewed, high-quality, and effective resources.

In brief, it contrasts the modern understanding of causality (and the mathematics this presupposes) with the more recent, perhaps in a sense "postmodern" understanding of causality (again with a concomitant mathematical model) and on the basis of this distinction, draws some interesting parallels between economics and natural events.

Darren challenged us to identify topics of interest last month and I responded that I would love to share some algebraic reasoning information.

interweaving content and pedagogy in teaching and learning to teach knowing and using mathematics.pdf

Interweaving Content and Pedagogy in Teaching and Learning to Teach: Knowing and Using Mathematics

In Educator's Algebra I course, instructor Dr. Grant Fraser walks you through the building blocks of mathematics, starting from Functions, Graphs, and Inequalities, to Factoring, Polynomials, and Rational Expressions. Utilizing his 27 years of teaching experience, UCLA educated (Ph.D and B.S.) Professor Fraser carefully explains each concept from multiple angles to ensure learners of any math ability can master Algebra. Dr. Fraser finishes off every idea with a reinforcing example in addition to the four worked-out video examples and things to remember at the end of each lecture.