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With Glean PEMDAS (Please Excuse My Dear Aunt Sally), we present a math learning environment to help teachers extend students' understanding of order of operations concepts.

With Glean PEMDAS (Please Excuse My Dear Aunt Sally), we present a math learning environment to help teachers extend students' understanding of order of operations concepts. Glean PEMDAS can be used to introduce Order of Operations, and is best applied to critical inquiry about application of order.

Focuses on three careers requiring solid mathematics background as well as additional job profiles

Equations and word problems

by dr. sarah-marie belcastro, "You might wonder why one would want to knit mathematical objects. One reason is that the finished objects make good teaching aids; a knitted object is flexible and can be physically manipulated, unlike beautiful and mathematically perfect computer graphics. And the process itself offers insights: In creating an object anew, not following someone else's pattern, there is deep understanding to be gained. To craft a physical instantiation of an abstraction, one must understand the abstraction's structure well enough to decide which properties to highlight. Such decisions are a crucial part of the design process, but for the specifics to make sense, we must first consider knitting geometrically."

Published 2012. "Spherical trigonometry was at the heart of astronomy and ocean-going navigation for two millennia. The discipline was a mainstay of mathematics education for centuries, and it was a standard subject in high schools until the 1950s. Today, however, it is rarely taught. Heavenly Mathematics traces the rich history of this forgotten art, revealing how the cultures of classical Greece, medieval Islam, and the modern West used spherical trigonometry to chart the heavens and the Earth. Glen Van Brummelen explores this exquisite branch of mathematics and its role in ancient astronomy, geography, and cartography; Islamic religious rituals; celestial navigation; polyhedra; stereographic projection; and more. He conveys the sheer beauty of spherical trigonometry, providing readers with a new appreciation for its elegant proofs and often surprising conclusions. Heavenly Mathematics is illustrated throughout with stunning historical images and informative drawings and diagrams that have been used to teach the subject in the past. This unique compendium also features easy-to-use appendixes as well as exercises at the end of each chapter that originally appeared in textbooks from the eighteenth to the early twentieth centuries."

Criticism of research into why students have trouble with factions and experience boredom

"In Math on Trial, mathematicians Leila Schneps and Coralie Colmez tell the story of ten criminal trials in which mathematical arguments were used-and disastrously misused-as evidence. Using a wide range of examples, from the Dreyfus Affair to the Amanda Knox murder trial, they show how the improper application of mathematical concepts can mean the difference between walking free and life in prison. A colorful narrative of mathematical abuse featuring such characters as Charles Ponzi, Alfred Dreyfus, and Oliver Wendell Holmes, Math on Trial shows that legal expertise isn't always enough to prove a person innocent."

Part of a series considering options for college-bound students, this column emphasizes the importance of quantitative skills across the curriculum and workforce.

And then goes on to name several favorite numbers or numerical equations

from the abstract: "Mathematics is now at a remarkable in exion point, with new technology radically extending the power and limits of individuals. Crowd- sourcing pulls together diverse experts to solve problems; symbolic computation tackles huge routine calculations; and computers check proofs too long and complicated for humans to comprehend. The Study of Mathematical Practice is an emerging interdisciplinary eld which draws on philoso- phy and social science to understand how mathematics is produced. Online mathematical activity provides a novel and rich source of data for empirical investigation of mathematical practice - for example the community question-answering system mathover ow contains around 40,000 mathe- matical conversations, and polymath collaborations provide transcripts of the process of discovering proofs. Our preliminary investigations have demonstrated the importance of \soft" aspects such as analogy and creativity, alongside deduction and proof, in the production of mathematics, and have given us new ways to think about the roles of people and machines in creating new mathematical knowledge. We discuss further investigation of these resources and what it might reveal. Crowdsourced mathematical activity is an example of a \social machine", a new paradigm, identi- ed by Berners-Lee, for viewing a combination of people and computers as a single problem-solving entity, and the subject of major international research endeavours. We outline a future research agenda for mathematics social machines, a combination of people, computers, and mathematical archives to create and apply mathematics, with the potential to change the way people do mathe- matics, and to transform the reach, pace, and impact of mathematics research."

"Estonia said it plans to adopt an innovative math curriculum developed by a UK-based group called Computer-Based Math. The effort is the brainchild of Conrad Wolfram, brother of Stephen Wolfram who cofounded Mathematica, a computational software program designed to help with project workflows in almost any industry. "

The role of mathematics in complex economic problems such as the consumer price index

Maria Chudnovsky, mathematician, is one of 23 MacArthur Fellowship recipients in 2012. She is an associate professor in the department of industrial engineering and operations research at Columbia University and specializes in graph theory. With colleagues she successfully solved the "Srong Perfect Graph Theorem" which was proposed in the 1960s, and her research is potentially "deepening the connections between graph theory and other major branches of mathematics, such as linear programming, geometry, and complexity theory." A video featuring the awardee can be viewed on the web site.

Research study at Michigan State University shows how developing spatial reasoning in young children (6-8) improves calculation

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In defense of mathematics and mathematical literacy

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"Nasa's Voyager spacecraft have enthralled everyone with their exploits on the edge of the Solar System, but their launch in 1977 was only possible because of some clever maths and the persistence of a PhD student who worked out how to slingshot probes into deep space".

"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."