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."
Abstract: "How can smartphones apps enrich the learning of mathematics
in vocational education? This article examines how
mathematics teaching can be enriched by apps using smartphone
sensors such as gyroscope, compass, camera, and
touch screen in a gaming context.
An iterative and participatory design process involving two
classes of carpentry students from different vocational colleges
resulted in two highly successful and course-relevant
games based on trigonometry. Each game consists of
quests and missions whose successful completion unlocks
more theoretical multiple-choice exercises for the classroom.
The combination of competition to unlock exercises,
competition for placing on the high-score list, and physical
activity proved very motivating for the students and was
also approved by their teachers.
In this article we describe our design principles, the overall
game architecture and the games themselves. We talk
about our experience in implementing our design process
and subsequently summarize the pros and cons of the application
and the smartphone platform and how the app developed
contributes to vocational mathematics teaching"
Abstract "This article reports on a case study of the web-based educational maths application, Mathletics. The findings are drawn from an ethnographic study of children's technology use in Melbourne, Australia. We explore the experience, governance and commerce of children's Mathletics use, and offer insights into the developing possibilities and challenges emerging through the adoption of Web 2.0 applications for learning and education." (Full text requires subscription or purchase)
"Among mathematicians, it is always a happy moment when a long-standing problem is suddenly solved. The year 2012 started with such a moment, when an Irish mathematician named Gary McGuire announced a solution to the minimal-clue problem for Sudoku puzzles." Article written by author of a recent book, "Taking Sudoku Seriously: The Math Behind the World's Most Popular Pencil Puzzle".
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. "
"Beautiful Mathematics is about beautiful mathematical concepts and creations. Mathematical ideas have an aesthetic appeal that can be appreciated by those who have the time and dedication to investigate. Mathematical topics are presented in the categories of words, images, formulas, theorems, proofs, solutions, and unsolved problems. Readers will investigate exciting mathematical topics ranging from complex numbers to arithmetic progressions, from Alcuin's sequence to the zeta function, and from hypercubes to infinity squared." (MAA, 2011)
From the abstract: "The purpose of this study was to find out from current high school math teachers, of geometry specifically, what their views of technology are. The goal of the study was to ask these teachers which technologies they use and whether they believe technology has beneficial effects on student learning. Data was collected for the survey by asking teachers to take brief electronic surveys and conduct in-person interviews. All questions in both the survey and interviews were focused on the effects of technology that they see in their classrooms. The scope of the participants was restricted to Columbus, Ohio, and thus, generalizations for any classroom or any school building cannot be made. However, this study did find a consensus among the participants as to which technologies they felt were the most beneficial in their classrooms, as well as those that might not be needed at all in a classroom. The three technologies that these teachers claimed to be the most beneficial were SMART boards, TI-nspire calculators and Geometer's Sketchpad/GeoGebra. Again, this study cannot make solid conclusions, but it is safe to say that this study gives insight into teachers' viewpoints, which, in a sense, are more important than those of outside researchers. The teachers agreed on a few technologies that are the most beneficial and thus future studies should focus on really studying the effects of these technologies as well as focus on getting a wider range of teachers' opinions on this topic."
Discusses quantitative literacy (QL) as a student learning outcome and the work of Project Kaleidoscope and others towards effecting the curriculum in that direction
"The MIND Research Institute enables elementary and secondary students to reach their full academic and career potential through developing and deploying math instructional software and systems. A non-profit organization, MIND also conducts basic neuroscientific, mathematics, and education research to improve math education and advance scientific understanding."
"Abstract
What does it mean to have random numbers? Without understanding where a group of
numbers came from, it is impossible to know if they were randomly generated. However,
common sense claims that if the process to generate these numbers is truly understood,
then the numbers could not be random. Methods that are able to let their internal
workings be known without sacrificing random results are what this paper sets out to
describe. Beginning with a study of what it really means for something to be random, this
paper dives into the topic of random number generators and summarizes the key areas. It
covers the two main groups of generators, true-random and pseudo-random, and gives
practical examples of both. To make the information more applicable, real life examples
of currently used and currently available generators are provided as well. Knowing the
how and why of a number sequence without knowing the values that will come is
possible, and this thesis explains how it is accomplished."
"Chances are you've seen this symbol before, because it's one of the most well-known Egyptian symbols. It's called the Eye of Horus. It's been in the background of plenty of mummy movies, and been turned into a lot of necklace charms. Some people think it's writing. Actually, it's math."
Tim Gowers analyzes Elsevier Publishing's announcement to the mathematics community on reduced article charges and other concessions in light of recent university, funding body and government initiatives in support of more open scholarly publishing.
"Our studio was created to help parents who want to give their children a better education than is provided by the majority of schools.....Our program is based on more than 30 years of teaching experience during which time we have synthesized the best of Russian, American, and European logical and thinking developmental programs."