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Contents contributed and discussions participated by Garrett Eastman

Garrett Eastman

Math for eight year olds: graph theory for kids - 24 views

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    Joel David Hamkins, a professor of Mathematics at CUNY, describes his day teaching graph theory to his daughter's third grade class starting with the Euler characteristic and connected planar graphs tested on a variety of combinations and shapes.
Garrett Eastman

The other irrational numbers we could celebrate instead of pi - Quartz - 8 views

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    "there are plenty of other infinite decimal (and infinitely useful) numbers to celebrate-Feb. 7 could have been e Day, for example, or Jan. 6, the Day of the Golden Ratio."
Garrett Eastman

Bublz!: Playing with Bubbles to Develop Mathematical Thinking - 17 views

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    Abstract: "We encounter mathematical problems in various forms in our lives, thus making mathematical thinking an important human ability [6]. Of these problems, optimization problems are an important subset: Wall Street traders often have to take instantaneous, strategic decisions to buy and sell shares, with the goal of maximizing their profits at the end of a day's trade. Continuous research on game-based learning and its value [2] [3] led us to ask: can we develop and improve the ability of mathematical thinking in children by guising an optimization problem as a game? In this paper, we present Bublz!, a simple, click-driven game we developed as a first step towards answering our question."
Garrett Eastman

The Best Language for Math - 15 views

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    "Studies have linked confusing English number names to weaker arithmetic skills in children. Chinese, Japanese, Korean and Turkish express math concepts more clearly." Also explores how math games at an early age develop appreciation and skills.
Garrett Eastman

Augustana's Math Circle: The Mentoring Loop - 6 views

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    Drawing on culture, creativity and computation in teacher education
Garrett Eastman

Women Mathematicians, Sponsored by Agnes Scott College - 3 views

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    An ongoing project at Agnes Scott College in Athens, Georgia, this site features biographies of notable women mathematicians, which you can browse alphabetically, chronologically or geographically.
Garrett Eastman

Infinitesimal: How a Dangerous Mathematical Theory Shaped the Modern World | Amir Alexa... - 3 views

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    Published in 2014, tells the story of how, in the seventeenth century, Italian Jesuit authorities evidently tried to suppress the idea of infinitesimals in mathematics and how subsequently their flourishing led to the development of calculus and shifted the balance of world culture and the influence of nations.
Garrett Eastman

84-year-old math tutor retiring - 3 views

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    Profile of Don Cohen, author of "Calculus by and for young people"
Garrett Eastman

How humans learn to think mathematically - 13 views

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    David Tall, emeritus professor from Warwick in the UK, published this book in 2013, and this links to his summary and a sample chapter. His papers and other math resources are on his website: http://homepages.warwick.ac.uk/staff/David.Tall/index.html
Garrett Eastman

Do I Count: Stories from Mathematics - 8 views

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    Published 2013 by CRC Press. A collection of essays and stories on mathematics for the general reader, including such topics as mathematicians, mathematical discoveries, prime numbers, puzzles, equations, proofs and the value of mathematics.
Garrett Eastman

Developing a 21st Century Global Library for Mathematics Research - 4 views

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    "Developing a 21st Century Global Library for Mathematics Research discusses how information about what the mathematical literature contains can be formalized and made easier to express, encode, and explore. Many of the tools necessary to make this information system a reality will require much more than indexing and will instead depend on community input paired with machine learning, where mathematicians' expertise can fill the gaps of automatization. This report proposes the establishment of an organization; the development of a set of platforms, tools, and services; the deployment of an ongoing applied research program to complement the development work; and the mobilization and coordination of the mathematical community to take the first steps toward these capabilities. The report recommends building on the extensive work done by many dedicated individuals under the rubric of the World Digital Mathematical Library, as well as many other community initiatives. Developing a 21st Century Global Library for Mathematics envisions a combination of machine learning methods and community-based editorial effort that makes a significantly greater portion of the information and knowledge in the global mathematical corpus available to researchers as linked open data through a central organizational entity-referred to in the report as the Digital Mathematics Library. This report describes how such a library might operate - discussing development and research needs, role in facilitating discover and interaction, and establishing partnerships with publishers."
Garrett Eastman

Language key to learning math - 15 views

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    "An assistant professor at the University of California, Riverside Graduate School of Education has shown that a reading comprehension technique helps non-native English speakers in elementary school learn math."
Garrett Eastman

Adaptive Interaction Design for Online Mathematics Education: The Way of the Game - 8 views

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    Abstract: "Together, brain science and learning design inform Adaptive Interaction Design (AID), a technique for curriculum planning and development. Mathematics is a particular case in which AID can help. The Way of the Game is vital to learning design. There are many definitions of "game." Here, we mean game to be the means by which spontaneous play becomes responsible learning. That innovative games figure as the centerpiece of many 21st century curricula is no accident. Games are a critical element in modern theories of learning design especially when related to insights from neuroscience and online learning/teaching methods. But beyond simple gamification, can games provide the disruptive transformation to mathematics education that is required to effect substantive and sustainable improvement? Can we game the educational system to ensure students' success in mathematics? To find out, we will look at the AID process and two sample products for the development of mathematical thinking and practice based on the Way of the Game."
Garrett Eastman

Visions of Infinity: The Great Mathematical Problems - 7 views

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    Written in 2013 by Ian Stewart, an overview of mathematical problems that influence our lives and continue to challenge mathematicians.
Garrett Eastman

Mondrian Meets Euclid: An Eccentric Victorian Mathematician's Masterwork of Art and Sci... - 6 views

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    Profile of a reissue of Elements of Euclid with colored designs and graphics by Oliver Byrne, 19th century engineer and mathematician
Garrett Eastman

Math Is Beautiful - 7 views

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    "Beauty of Mathematics" from Parachutes.TV "showing the mathematics of different phenomena in equation, visualization, and realization. "
Garrett Eastman

Hurray for Fermat and Wiles!: A Bibliographic Essay on the Modern Literature Pertaining... - 1 views

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    This article traverses the journey (through literature) towards the solution of Fermat's Last Theorem
Garrett Eastman

Imagery: A Key to Understanding Math - 10 views

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    Using mathematical images and visualization in teaching
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