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Contents contributed and discussions participated by Garrett Eastman

Garrett Eastman

Indian-Origin Boy In Germany Solves Newton's 350-Year-Old Math Problem - 6 views

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    16-year old solves particle dynamics theories which eluded traditional computational problem solving
Garrett Eastman

How We Measure the Universe, Animated | Brain Pickings - 10 views

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    A video from the Royal Observatory Greenwich explaining how maths are used in measurement in astronomy and cosmology.
Garrett Eastman

A night of fun, fellowship - and math | Harvard Gazette - 9 views

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    Family math games and math night at the Gardner Pilot Academy
Garrett Eastman

Proceedings of the Fourth Annual Teachers College Educational Technology Conference - 3 views

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    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."
Garrett Eastman

Design of Trigonometry Apps for Vocational Education - 7 views

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    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"
Garrett Eastman

'You do the math': Mathletics and the play of online learning - 8 views

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    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)
Garrett Eastman

Transforming Primary Mathematics - 8 views

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    Two sections, teaching, and transforming
Garrett Eastman

OUPblog " Blog Archive " Sudoku and the Pace of Mathematics - 3 views

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    "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".
Garrett Eastman

The Glorious Golden Ratio - 2 views

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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. "
Garrett Eastman

Beautiful Mathematics - 2 views

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    "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)
Garrett Eastman

How to Count Infinity - YouTube - 8 views

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    A video from minutephysics
Garrett Eastman

The Views of High School Geometry Teachers regarding the Effect of Technology on Studen... - 9 views

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    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."
Garrett Eastman

Liberal Education | Spring 2012 | Achieving a Quantitatively Literate Citizenry: Resour... - 3 views

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    Discusses quantitative literacy (QL) as a student learning outcome and the work of Project Kaleidoscope and others towards effecting the curriculum in that direction
Garrett Eastman

MIND Research Institute - Home - 9 views

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    "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."
Garrett Eastman

Random Number Generation: Types and Techniques - 5 views

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    "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."
Garrett Eastman

This well-known Egyptian symbol is actually an early math problem - 11 views

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    "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."
Garrett Eastman

Mathematical Road Trips » American Scientist - 9 views

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    Review of In Pursuit of the Traveling Salesman: Mathematics at the Limits of Computation, published in 2012
Garrett Eastman

Elsevier's recent update to its letter to the mathematical community « Gowers... - 4 views

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    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.
Garrett Eastman

Studio of Engaging Math - 12 views

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    "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."
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