A manifesto for a mathematical revolution Forget everything you've been taught about math. In Burn Math Class, Jason Wilkes takes the traditional approach to how we learn math--with its unwelcoming textbooks, unexplained rules, and authoritarian assertions-and sets it on fire. Focusing on how mathematics is created rather than on mathematical facts, Wilkes teaches the subject in a way that requires no memorization and no prior knowledge beyond addition and multiplication. From these simple foundations, Burn Math Class shows how mathematics can be (re)invented from scratch without preexisting textbooks and courses. We can discover math on our own through experimentation and failure, without appealing to any outside authority. When math is created free from arcane notations and pretentious jargon that hide the simplicity of mathematical concepts, it can be understood organically--and it becomes fun! Following this unconventional approach, Burn Math Class leads the reader from the basics of elementary arithmetic to various "advanced" topics, such as time-dilation in special relativity, Taylor series, and calculus in infinite-dimensional spaces. Along the way, Wilkes argues that orthodox mathematics education has been teaching the subject backward: calculus belongs before many of its so-called prerequisites, and those prerequisites cannot be fully understood without calculus. Like the smartest, craziest teacher you've ever had, Wilkes guides you on an adventure in mathematical creation that will radically change the way you think about math. Revealing the beauty and simplicity of this timeless subject, Burn Math Class turns everything that seems difficult about mathematics upside down and sideways until you understand just how easy math can be.
This annual anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2016 makes available to a wide audience many articles not easily found anywhere else—and you don't need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today's hottest mathematical debates. Here Burkard Polster shows how to invent your own variants of the Spot It! card game, Steven Strogatz presents young Albert Einstein's proof of the Pythagorean Theorem, Joseph Dauben and Marjorie Senechal find a treasure trove of math in New York's Metropolitan Museum of Art, and Andrew Gelman explains why much scientific research based on statistical testing is spurious. In other essays, Brian Greene discusses the evolving assumptions of the physicists who developed the mathematical underpinnings of string theory, Jorge Almeida examines the misperceptions of people who attempt to predict lottery results, and Ian Stewart offers advice to authors who aspire to write successful math books for general readers. And there's much, much more. In addition to presenting the year's most memorable writings on mathematics, this must-have anthology includes a bibliography of other notable writings and an introduction by the editor, Mircea Pitici. This book belongs on the shelf of anyone interested in where math has taken us—and where it is headed.
A comprehensive Introduction to the world of brain and behavior computational models This book provides a broad collection of articles covering different aspects of computational modeling efforts in psychology and neuroscience. Specifically, it discusses models that span different brain regions (hippocampus, amygdala, basal ganglia, visual cortex), different species (humans, rats, fruit flies), and different modeling methods (neural network, Bayesian, reinforcement learning, data fitting, and Hodgkin-Huxley models, among others). Computational Models of Brain and Behavior is divided into four sections: (a) Models of brain disorders; (b) Neural models of behavioral processes; (c) Models of neural processes, brain regions and neurotransmitters, and (d) Neural modeling approaches. It provides in-depth coverage of models of psychiatric disorders, including depression, posttraumatic stress disorder (PTSD), schizophrenia, and dyslexia; models of neurological disorders, including Alzheimer’s disease, Parkinson’s disease, and epilepsy; early sensory and perceptual processes; models of olfaction; higher/systems level models and low-level models; Pavlovian and instrumental conditioning; linking information theory to neurobiology; and more. Covers computational approximations to intellectual disability in down syndrome Discusses computational models of pharmacological and immunological treatment in Alzheimer's disease Examines neural circuit models of serotonergic system (from microcircuits to cognition) Educates on information theory, memory, prediction, and timing in associative learning Computational Models of Brain and Behavior is written for advanced undergraduate, Master's and PhD-level students—as well as researchers involved in computational neuroscience modeling research.
A compendium of more than 240 classroom-tested lessons, this essential resource helps teachers build student understanding and skills and understand how children best learn math. In this third edition, Marilyn Burns has completely revised the first section to reflect what she has learned over the years from her classroom experience with students and her professional development experience with teachers. This section has also been expanded to address these important topics: teaching math vocabulary, incorporating writing into math instruction, linking assessment and instruction, and using children's literature to teach key math concepts. In an entirely new section, Marilyn addresses a wide range of questions she has received over the years from elementary and middle school teachers regarding classroom management and instructional issues.
Support mathematical understanding in your instructional program through this rich collection of easy-to-use teaching resources. Each book focuses on a specific arithmetic topic and offers a series of classroom-tested lessons addressing the three important aspects of arithmetic instructioncomputation, number sense, and problem solving. The lessons include step-by-step directions, amount of time needed, materials required, classroom vignettes, samples of student work, reproducibles, and a discussion of the math underlying the lesson.
Support mathematical understanding in your instructional program through this rich collection of easy-to-use teaching resources. Each book focuses on a specific arithmetic topic and offers a series of classroom-tested lessons addressing the three important aspects of arithmetic instruction--computation, number sense, and problem solving. The lessons include step-by-step directions, amount of time needed, materials required, classroom vignettes, samples of student work, reproducibles, and a discussion of the math underlying the lesson.
Release on 2012-10-25 | by Jenny Han,Siobhan Vivian
Author: Jenny Han,Siobhan Vivian
Pubpsher: Simon and Schuster
Category: Juvenile Fiction
Critically acclaimed authors Jenny Han - whose New York Times bestseller To All The Boys I've Loved Before inspired the hit NETFLIX movie - andSiobhan Vivan team up in this brand new trilogy. Perfect for fans of Pretty Little Liars and Big Little Lies. Postcard perfect Jar Island is home to charming tourist shops, pristine beaches, amazing ocean front homes and three girls quietly plotting revenge. Kat is tired of having people lie to her. One more cruel word from her ex best friend or her secret hook up acting like she doesn't exist will be the last straw. Those two deserve to feel as awful as they've made her feel. But if she tried anything, everyone would suspect her immediately… Lillia is ready to stop pretending her senior year is going to be so great. After what her best friend Rennie got her into this past summer and the way her guy friends are looking at her little sister, she is starting to feel like these "friends" are nothing but the entitled brats she has always denied they were. Mary has just gotten back to Jar Island after a traumatic event several years ago that still haunts her. She is determined to put it behind her, but when she sees Reeve, she is certain that will only happen when he feels the same pain that his actions caused her. But she can't get revenge alone… Maybe someone should show them there are consequences to bad behaviour.
In the #1 New York Times bestseller The Fast Metabolism Diet, powerhouse nutritionist Haylie Pomroy showed readers how to heal a broken metabolism with the strategic use of macronutrients. But even in the best running systems, inflammation, digestive dysfunction, and hormonal imbalances can all hinder weight-loss. In The Burn, Haylie breaks new ground and gives anyone trying to lose weight new tools for busting through plateaus. Using targeted micronutrients to incinerate weight-loss roadblocks, Haylie will help you remove the problem—and lose up to 3, 5, and 10 pounds in as many days! The Burn offers three eating plans, therapeutically designed to achieve highly specific results. The I-Burn targets the body’s inflammatory reactions to food and flushes out toxins and subcutaneous fat, producing prominent cheekbones and a glowing complexion in three days. In five days, the D-Burn unblocks the body’s digestive barrier and torches torso fat, to create a flat belly and tighter waistline. The 10-day H-Burn addresses the hormonal system, repairing and facilitating the proper synthesis of hormones to reshape lumps and bumps into gorgeous curves, sleeker hips, and thinner thighs. The Burn also unveils: · I-Burn, D-Burn, and H-Burn eating and living plans, complete with detailed grocery lists and daily menus to keep the process simple and easy-to-follow. · Dozens of delicious recipes for meals in a flash. · Simple success boosters: foods, teas, tips, and practices that are easy to incorporate and stoke up your body’s ability to heal. · How to live your life on fire – road maps that help readers recognize what their bodies are saying to keep their metabolisms blazing! From the Hardcover edition.
Developed in partnership with the National Geographic Society, market-leading OCEANOGRAPHY: AN INVITATION TO MARINE SCIENCE, 9e equips students with a basic understanding of the scientific questions, complexities, and uncertainties involved in ocean use-as well as the role and importance of the ocean in nurturing and sustaining life on Earth. The Ninth Edition features the work of seasoned author and educator Tom Garrison along with new co-author Robert Ellis, an assistant professor in the Marine Science Department at Orange Coast College who has managed research projects and educational programs throughout the world. Offering an even stronger emphasis on the science process, the new edition includes more How Do We Know? boxes detailing the science behind how oceanographers know what they know. Coverage of climate change has been updated to reflect the latest findings. In addition, Chapter 14 has been renamed Primary Producers and now includes expanded coverage of photosynthetic and chemosynthetic producers to help students understand the big picture in marine biology. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.