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. "
From a conference held May 19-20, 2012, includes: "Math Strategies in Digital Storytelling: Effects of Multiple
Pedagogical Agents on Learning Single-Digit Addition Strategies", "Connected to Word Problems: Improving Mathematical Problem Solving
While Exergaming," "Digital Modeling Artifacts as Geometric Thinking & Learning: Top, Side and
Perspective Views to Improve Spatial Abilities," "Credibility of Culturally Situated Design Tools: Mathematics and Black
Identity," "The Use of Dynamic Geometry Software for the development of Specialized
Subject Matter Knowledge."
A 'must try' vast site with a irresistible bounty of downloadable and printable resources for across the curriculum that you will come to treasure.
http://ictmagic.wikispaces.com/Cross+Curricular
"Monkey Tales Games is a series of 3D video games to support the learning of maths, created in 2011 by die Keure Educatief and Larian Studios from Belgium. The series is made up of five exciting and fun video games with age-specific themes where the player has to solve 3D puzzles." ...
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" (
The survey involved more than 600 "randomly selected mathematicians worldwide" and revealed that many mathematicians publish on arxiv.org, some on their personal websites, some publish in open access journals but disapprove of publishing fees, tenure and promotion influence publication, high awareness of publishing rights, little use of online collaboration tools
This is a superb site from the TES with a large collection of great flash whiteboard resources for across the curriculum for Primary schools. There is something for everyone here!
http://ictmagic.wikispaces.com/Cross+Curricular