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Rebecca Patterson

Mathematical model predicts weight with varying diet, exercise changes; Findings challe... - 0 views

  • Researchers at the National Institutes of Health have created a mathematical model -- and an accompanying online weight simulation tool -- of what happens when people of varying weights, diets and exercise habits try to change their weight.
  • However, the computer simulation of metabolism is meant as a research tool and not as a weight-loss guide for the public. The computer program can run simulations for changes in calories or exercise that would never be recommended for healthy weight loss. The researchers hope to use the knowledge gained from developing the model and from clinical trials in people to refine the tool for everyone.
  • "Mathematical modeling lets us make and test predictions about changes in weight and metabolism over time," Hall said. "We're developing research tools to accurately simulate physiological differences between people based on gender, age, height, and weight, as well as body fat and resting metabolic rate."
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  • Moving toward that goal, a more comprehensive mathematical model of human metabolism was used recently to design an NIH clinical trial that is comparing the effects of reducing fats versus carbohydrates in obese adults.
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    Not really stats here, but a mathematical model used for application. Great use of applied math.
Rebecca Patterson

Education Week: Math Educators See the Right Angles for Digital Tools - 0 views

  • And just because there’s a lot to choose from doesn’t mean all the programs possess the same ability to teach math on a long-lasting, conceptual level.
  • Although kids are quick to pick [technology] up, they’re not that quick at learning to relate it to a mathematical concept.
  • what you want is for students to realize, ‘I don’t need to memorize a thousand different rules. I’m beginning to observe commonalities.
    • Rebecca Patterson
       
      patterns and metapatterns
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  • Some adaptive-learning software, which tailors lessons and exercises to individual student progress, also uses visual representation to demonstrate relationships.
  • online drawing programs that allow students and instructors to draw and manipulate shapes and graphs—like the Geometer’s Sketchpad, made by Emeryville, Calif.-based Key Curriculum Press, or the independently run GeoGebra, which has established dozens of institutes across the globe—immediately give users a sense of the relationships that govern geometry, algebra, and even calculus.
  • While software from Bellevue, Wash.-based DreamBox Learning also uses visual approaches, it differs from MIND’s software because it lets students in grades K-3 choose their own visual representations. After completing a problem one way, students will often be prompted to solve the same problem by choosing a different visualization to reinforce the concept.
  • its ability to import data from thrice-yearly Washington state standardized testing.
  • content services like Learn360, from Woodbury, N.Y.-based AIM Education Inc., offer the ability to combine resources into playlists of media set specifically for the needs of individual students, to help give some of that multidimensional understanding of content.
Rebecca Patterson

Math-based model for deep-water oil drilling - 0 views

  • The deeper the well, the higher the pressure, and the higher the risks associated with tapping oil from wells. During drilling, when the pressure applied to balance the hydrocarbon pressure in a well is not great enough to overcome that exerted by gas and fluids in the rock formation drilled, water, gas, oil, or other formation fluid can enter the hole. This is called a "gas kick," which in worst-case scenarios can lead to blowouts. In a paper published earlier this month in the SIAM Journal on Mathematical Analysis, author Steinar Evjepresents new analysis of a mathematical model that has applications to the study of such gas kicks in deep-water oil wells.
  • Simulators have become an important tool for the development of new, more efficient and safer drilling methods.
  • The use of mathematical models is important for the development of tools that can help simulate, and hence, increase control in deep-water well operations.
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  • "A simulator for drilling operations is composed of a set of nonlinear coupled partial differential equations that describe the simultaneous flow of hydrocarbons in a well. This mathematical model represents a 'virtual laboratory' where the finer mechanisms related to a number of different physical effects can be studied in detail," Evje goes on to explain.
  • In order to compute reliable solutions, it is crucial to have a model that is well defined mathematically. Mathematical methods are applied in order to derive upper and lower limits for various quantities like masses and fluid velocities, which provide insight into the parameters that are important for the control of these quantities. In addition, they allow proof of the existence of solutions for the model in a strict mathematical sense. In this paper, the author demonstrates that under certain assumptions, a solution exists.
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    Another applied mathematics scenario. (no stats - maybe I need to make a new group?)
Rebecca Patterson

In turnabout, teachers give students Apples, hope iPads boost test scores - Wednesday, ... - 0 views

  • The $49 Fuse application allows users to learn at their own pace, Blumenfeld said. If students miss a class, they can tap into about 400 video tutorials led by textbook author Edward Burger, a math professor at Williams College in Massachusetts. “Videos allow for anywhere, anytime instruction,” Blumenfeld said. “For students who might have missed class or didn’t understand the lesson, you can push a button and have it explained again and again. You have a teacher available anytime, anywhere.”
  • Test scores in Riverside, Calif., jumped 30 percentage points, from 60 percent to 90 percent proficiency in math, he said. A smaller iPad program in some of Chicago’s elementary schools also resulted in improvement, Ebert said.
  • Indeed, Algebra 1 is one of the most-failed courses in the School District, Ebert said. All Nevada 10th graders are tested on the freshman-level math subject before they can graduate. Only half of the students in Clark County passed the math section of the High School Proficiency Exam on their first try last year. A quarter of students won’t pass the math section by their senior year and, as a result, will fail to graduate. This year, the district has identified about 9,000 seniors who haven’t passed the proficiency exam. They are at risk of dropping out, Ebert said.
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  • At the time, the technology we used (in math class) was a graphing calculator,” he said. “Today, these kids have the privilege to learn math in a new, innovative way
  • Only the Fuse algebra application and a few key tools are loaded onto the devices. At school, students are blocked from inappropriate sites via firewalls. The App Store, where iPad users can purchase games and other applications, is locked on the device, but school officials are looking at opening the online store in the future. Freshman Catherine Rodriguez, 14, flashed a big smile as she received her new iPad. Math isn’t her strongest subject; she hopes the new technology will help her, she said. Passing math is a big concern for Rodriguez’s mother, who took three years to pass pre-algebra, she said.
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    Interesting place to funnel school district money. There should be some good research coming out on this application in the next few years.
Rebecca Patterson

Carnegie works on new approaches for teaching math in community colleges | Cision Wire - 0 views

  • “Developmental mathematics has become a burial ground for the aspirations of myriad students trying to improve their lives through education,” said Carnegie senior partner Uri Treisman. A MacArthur fellow, Treisman is also a professor of mathematics at The University of Texas at Austin.
    • Rebecca Patterson
       
      Treisman founded the Dana Math Education Research Center at UT Austin.
  • By completely reimagining the way math is taught, Statway and Quantway align with Kresge’s goal of supporting innovation that improves higher education productivity. The programs also provide pathways to and through college for students who might otherwise be left behind.
  • In 2010, The Kresge Foundation added its support – a two-year, $2 million grant – to that of the Carnegie Corporation of New York, the Bill & Melinda Gates Foundation, The William and Flora Hewlett Foundation and Lumina Foundation.
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  • Charles Cook, vice chancellor for instruction at Houston Community College. “I think the Statway project really has it right, where we’re looking at mathematical reasoning and problem solving and how math can serve you as a tool to further understanding, further investigation and further knowledge.”
  • Carnegie’s $14 million Quantway/Statway initiative is developing two mathematics programs: one-year courses that build quantitative literacy (Quantway) and statistical proficiency (Statway). They’re infusing both with teaching strategies that build students’ confidence as math learners.
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    $14 Million is a lot of money to develop 3 programs.
Rebecca Patterson

Back-to-school facts: $7 billion-plus in shopping and everything else - The Answer Shee... - 0 views

  • Back-to-school facts: $7 billion-plus in shopping and everything else
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    These are some very interesting statistics with links. Could use this with the data collection tool previously mentioned.
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