Hattie, John, author.

Thousand Oaks, California : Corwin Mathematics, [2017]

xxvii, 269 pages : illustrations ; 24 cm

Make learning visible in mathematics. Forgetting the past -- What makes for good instruction? -- The evidence base -- Noticing what does and does not work -- Direct and dialogic approaches to teaching and learning -- The balance of surface, deep, and transfer learning -- Surface, deep, and transfer learning working in concert -- Making learning visible starts with teacher clarity. Learning intentions for mathematics -- Success criteria for mathematics -- Preassessments -- Mathematical tasks and talk that guide learning. Making learning visible through appropriate mathematical tasks -- Making learning visible through mathematical talk -- Surface mathematics learning made visible. The nature of surface learning -- Selecting mathematical tasks that promote surface learning -- Mathematical talk that guides surface learning -- Mathematical talk and metacognition -- Strategic use of vocabulary instruction -- Strategic use of manipulatives for surface learning -- Strategic use of spaced practice with feedback -- Strategic use of mnemonics -- Deep mathematics learning made visible. The nature of deep learning -- Selecting mathematical tasks that promote deep learning -- Mathematical talk that guides deep learning -- Mathematical thinking in whole class and small group discourse -- Small group collaboration and discussion strategies -- Whole class collaboration and discourse strategies -- Using multiple representations to promote deep learning -- Strategic use of manipulatives for deep learning -- Making mathematics learning visible through transfer learning. The nature of transfer learning -- The paths for transfer: low-road hugging and high-road bridging -- Selecting mathematical tasks that promote transfer learning -- Conditions necessary for transfer learning -- Metacognition promotes transfer learning -- Mathematical talk that promotes transfer learning -- Helping students connect mathematical understandings -- Helping students transform mathematical understandings -- Assessment, feedback, and meeting the needs of all learners. Assessing learning and providing feedback -- Meeting individual needs through differentiation -- Learning from what doesn't work -- Visible mathematics teaching and visible mathematics learning -- Appendices. A. Effect sizes -- B. Standards for mathematical practice -- C. A selection of international mathematical practice or process standards -- D. Eight effective mathematics teaching practices -- E. Websites to help make mathematics learning visible.

Rich tasks, collaborative work, number talks, problem-based learning, direct instruction, with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it's not about which one, it's about when ; and show you how to design high-impact instruction so all students demonstrate more than a year's worth of mathematics learning for a year spent in school. That's a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in visible learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie's synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When, through carefully constructed experiences, students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When, through the solving of rich high-cognitive tasks and rigorous discussion, students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning. -- Provided by publisher.

Rovelli, Carlo, 1956- author.

©2016

280 pages : illustrations ; 22 cm

Originally published in Italian under the title: La Realtà non è come ci appare.

English translation published in Great Britain by Allen Lane, an imprint of Penguin Random House UK.

Walking along the shore -- Roots. Grains ; Is there a limit to divisibility? ; The nature of things ; The classics. Isaac and the little moon ; Michael : fields and light -- The beginning of the revolution. Albert ; The extended present ; The most beautiful of theories ; Mathematics or physics? ; The cosmos ; Quanta. Albert again ; Niels, Werner, and Paul ; Fields and particles are the same thing ; Quanta 1 : information is finite ; Quanta 2 : indeterminacy ; Quanta 3 : reality is relation ; But do we really understand? -- Quantum space and relational time. Spacetime is quantum. Matvei ; John ; The loop's first steps ; Quanta of space. Spectra of volume and area ; Atoms of space ; Spin networks ; Time does not exist. Time is not what we think it is ; The candle chandelier and the pulse ; Spacetime sushi ; Spinfoam ; What is the world made of? -- Beyond space and time. Beyond the Big Bang. The master ; Quantum cosmology ; Empirical confirmations? Signals from nature ; A window onto quantum gravity ; Quantum black holes ; The end of infinity ; Information. Thermal time ; Reality and information -- Mystery.

"A closer look at the mind-bending nature of the universe. What are the elementary ingredients of the world? Do time and space exist? And what exactly is reality? Theoretical physicist Carlo Rovelli has spent his life exploring these questions. He tells us how our understanding of reality has changed over the centuries and how physicists think about the structure of the universe today. In elegant and accessible prose, Rovelli takes us on a wondrous journey from Democritus to Albert Einstein, from Michael Faraday to gravitational waves, and from classical physics to his own work in quantum gravity. As he shows us how the idea of reality has evolved over time, Rovelli offers deeper explanations of the theories he introduced so concisely in Seven Brief Lessons on Physics. This book culminates in a lucid overview of quantum gravity, the field of research that explores the quantum nature of space and time, seeking to unify quantum mechanics and general relativity. Rovelli invites us to imagine a marvelous world where space breaks up into tiny grains, time disappears at the smallest scales, and black holes are waiting to explode--a vast universe still largely undiscovered."--Dust jacket.

Czerski, Helen, 1978- author.

©2016

275 pages ; 25 cm

Popcorn and rockets -- What goes up must come down -- Small is beautiful -- A moment in time -- Making waves -- Why don't ducks get cold feet? -- Spoons, spirals and Sputnik -- When opposites attract -- A sense of perspective.

"A physicist explains daily phenomena from the mundane to the magisterial. In Storm in a Teacup, Helen Czerski provides the tools to alter the way we see everything around us by linking ordinary objects and occurrences, like popcorn popping, coffee stains, and fridge magnets, to big ideas like climate change, the energy crisis, or innovative medical testing. She guides us through the principles of gases ("Explosions in the kitchen are generally considered a bad idea. But just occasionally a small one can produce something delicious"); gravity (drop some raisins in a bottle of carbonated lemonade and watch the whoosh of bubbles and the dancing raisins at the bottom bumping into each other); size (Czerski explains the action of the water molecules that cause the crime-scene stain left by a puddle of dried coffee); and time (why it takes so long for ketchup to come out of a bottle). Along the way, she provides answers to vexing questions: How does water travel from the roots of a redwood tree to its crown? How do ducks keep their feet warm when walking on ice? Why does milk, when added to tea, look like billowing storm clouds? In an engaging voice at once warm and witty, Czerski shares her stunning breadth of knowledge to lift the veil of familiarity from the ordinary."--Provided by publisher.

Weatherall, James Owen, author.

©2016

196 pages ; 23 cm.

Prologue: Much ado about nothing -- The plenum and the void -- Waves of space itself -- The nothing nothings -- Epilogue: Why nothing really matters: quantum gravity and beyond.

James Owen Weatherall's previous book, The Physics of Wall Street, was a New York Times best-seller and named one of Physics Today's five most intriguing books of 2013. In his newest volume, he takes on a fundamental concept of modern physics: nothing. The physics of stuff--protons, neutrons, electrons, and even quarks and gluons--is at least somewhat familiar to most of us. But what about the physics of nothing? Isaac Newton thought of empty space as nothingness extended in all directions, a kind of theater in which physics could unfold. But both quantum theory and relativity tell us that Newton's picture can't be right. Nothing, it turns out, is an awful lot like something, with a structure and properties every bit as complex and mysterious as matter. In his signature lively prose, Weatherall explores the very nature of empty space--and solidifies his reputation as a science writer to watch.

Schmidt, Stanley F. (Stanley Fredric), 1944- author.

©2016

176 pages : illustrations ; 26 cm

Includes index.

"Logic with all the standard topics: Propositional and Predicate Logic; 17 Logical Fallacies; Gödel's Theorems and Diagonalization Lemma Proved; Metamathematics; Life Insurance for Fred's Wife"--Back cover.

Monahan, Chris, author.

Indianapolis, Indiana : Alpha, 2016.

ix, 326 pages : illustrations ; 24 cm.

Includes index.

part 1. Review of pre-calculus and calculus I: Pre-calculus topics used in calculus II ; Limits, derivatives, and basic integration ; Definite and indefinite integrals -- part 2. Length, area, and volumes: Areas and approximations ; Volumes and areas of solids of revolutions -- part 3. More definite and indefinite integrals: More integration techniques ; Integration with trigonometric functions ; Integration with fractions -- part 4. The infinite series and more: To infinity and beyond ; Parametric equations ; Polar coordinates ; Introduction to vectors ; Differential equations ; Infinite sequences ; Infinite series ; Power series ; Calculus II final exam.

"Idiot's Guides: Calculus II, like its counterpart Idiot's Guides: Calculus I, is a curriculum-based companion book that continues the tradition of taking the sting out of calculus by adding more explanatory graphs and illustrations in easy-to-understand language, practice problems, and even a test at the end. Idiot's Guides: Calculus II is geared for all students who need to succeed in calculus,"--Amazon.com.

Clegg, Brian, author.

©2016

x, 288 pages : illustrations ; 22 cm

Counting sheep -- Counting goats -- All is number -- Elegant perfection -- Counting sand -- The emergence of nothing -- He who is ignorant -- All in the imagination -- The amazing mechanical mathematical universe -- The mystery of "maybe" -- Maxwell's mathematical hammer -- Infinity and beyond -- Twentieth-century mathematical mysteries -- Symmetry games -- Cargo cult science?

Presents an accessible, in-depth look at the history of numbers and their applications in life and science, from math's surreal presence in the virtual world to the debates about the role of math in science.

Bodanis, David, author.

Boston : Houghton Mifflin Harcourt, 2016.

xiv, 280 pages : illustrations ; 24 cm

Origins of genius. Victorian childhood ; Coming of age ; Annus mirabilis ; Only the beginning -- "The happiest thought of my life." Interlude one. The romance of many dimensions ; Glimpsing a solution ; Time to think ; Sharpening the tools ; The greatest idea -- Glory. True or false? ; Totality ; Interlude two. The future and the past ; Cracks in the foundation -- Reckoning. Rising tensions ; Interlude three. Candles in the sky ; The queen of hearts is black ; Finally at ease -- The greatest mistake. Crushing the upstart ; Uncertainty of the modern age ; Arguing with the Dane ; Interlude 4. Music and inevitability -- Final acts. Dispersions ; Isolation in Princeton ; The end.

Widely considered the greatest genius of all time, Albert Einstein revolutionized our understanding of the cosmos with his theory of relativity and helped to lead us into the atomic age. Yet, in the final decades of his life, he was ignored by most working scientists, his ideas opposed by even his closest friends. As writer David Bodanis explains here, this stunning downfall can be traced to Einstein's earliest successes and to personal qualities that were at first his best assets. Einstein's imagination and self-confidence served him well as he sought to reveal the universe's structure, but when it came to newer revelations in the field of quantum mechanics, these same traits undermined his quest for the ultimate truth. Bodanis traces the arc of Einstein's intellectual development across his professional and personal life, showing how his conviction in his own powers of intuition proved to be both his greatest strength and his ultimate undoing. This intimate and enlightening biography of the celebrated physicist reveals how much we owe Einstein today--and how much more he might have achieved if not for his all-too-human flaws.--Adapted from dust jacket.

Segrè, Gino, author.

©2016

xi, 351 pages, 8 unnumbered pages of plates : illustrations, portraits ; 25 cm

Prologue: Trinity -- Italy, beginnings. Family roots -- The Little Match (Il Piccolo Fiammifero) ; Leaning in : physics and Pisa ; Student days ; The young protégé ; The summer of 1924 ; Florence ; Quantum leaps ; Enrico and Laura -- Passages. The boys of Via Panisperna ; The Royal Academy ; Crossing the Atlantic ; Bombarding the nucleus ; Decay ; The neutron comes to Rome ; The rise and fall of the boys ; Transitions ; Stockholm calls -- Hello, America. Fission ; News travels ; Chain reaction ; The race begins ; New Americans ; The sleeping giant ; Chicago bound ; Critical pile (CP-1) ; The day the Atomic Age was born -- The Atomic City. The Manhattan Project : a three-legged stool ; Signor Fermi becomes Mister Farmer ; Götterdämmerung ; The hill ; "No acceptable alternative" ; Aftershock ; Goodbye, Mr. Farmer -- Home. Physicist with a capital 'F' ; The Fermi Method ; The super ; Circling back ; Last gift to Italy (Ultimo regalo all'Italia) ; Farewell to the navigator.

"The first full-scale biography of the Nobel Prize-winning physicist and one of the fathers of the atomic age, Enrico Fermi."-- Provided by publisher.

Laurence, Douglas H.

New York, NY : Penguin Random House, [2016]

xiii, 400 pages : illustrations ; 23 cm.

At head of title: The Princeton Review.

High School Physics Unlocked focuses on giving you a wide range of key lessons to help increase your understanding of physics. With this book, you'll move from foundational concepts to complicated real-world applications, building confidence as your skills improve. End-of-chapter drills wil help test your comprehension of each facet of physics, from mechanics to magnetic fields. Don't feel locked out!

Penrose, Roger, author.

©2016.

xvi, 501 pages : illustrations ; 25 cm

Fashion. Mathematical elegance as a driving force ; Some fashionable physics of the past ; Particle-physics background to string theory ; The superposition principle in QFT ; The power of Feynman diagrams ; The original key ideas of string theory ; Time in Einstein's general relativity ; Weyl's gauge theory of electromagnetism ; Functional freedom in Kaluza-Klein and string models ; Quantum obstructions to functional freedom? ; Classical instability of higher-dimensional string theory ; The fashionable status of string theory ; M-theory ; Supersymmetry ; AdS/CFT ; Brane-worlds and the landscape -- Faith. The quantum revelation ; Max Planck's E = hv ; The wave-particle paradox ; Quantum and classical levels : C, U, and R ; Wave function of a point-like particle ; Wave function of a photon ; Quantum linearity ; Quantum measurement ; The geometry of quantum spin ; Quantum entanglement and EPR effects ; Quantum functional freedom ; Quantum reality ; Objective quantum state reduction : a limit to the quantum faith? -- Fantasy. The Big Bang and FLRW cosmologies ; Black holes and local irregularities ; The second law of thermodynamics ; The Big Bang paradox ; Horizons, comoving volumes, and conformal diagrams ; The phenomenal precision in the Big Bang ; Cosmological entropy? ; Vacuum energy ; Inflationary cosmology ; The anthropic principle ; Some more fantastical cosmologies -- A new physics for the universe? Twistor theory : an alternative to strings? ; Whither quantum foundations? ; Conformal crazy cosmology? ; A personal coda -- Appendix A. Mathematical appendix. Iterated exponents ; Functional freedom of fields ; Vector spaces ; Vector bases, coordinates, and duals ; Mathematics of manifolds ; Manifolds in physics ; Bundles ; Functional freedom via bundles ; Complex numbers ; Complex geometry ; Harmonic analysis.

"What can fashionable ideas, blind faith, or pure fantasy possibly have to do with the scientific quest to understand the universe? Surely, theoretical physicists are immune to mere trends, dogmatic beliefs, or flights of fancy? In fact, acclaimed physicist and best-selling author Roger Penrose argues that researchers working at the extreme frontiers of physics are just as susceptible to these forces as anyone else. In this provocative book, he argues that fashion, faith, and fantasy, while sometimes productive and even essential in physics, may be leading today's researchers astray in three of the field's most important areas--string theory, quantum mechanics, and cosmology.... The result is an important critique of some of the most significant developments in physics today from one of its most eminent figures."--Dust jacket.

Smith, Gary, 1945- author.

New York, NY : The Overlook Press, 2016.

289 pages : illustrations ; 24 cm

I: Overreaction. The law of small numbers -- II: Inherited traits. The father of regression ; Choose your parents carefully -- III: Education. Testing 1,2,3 ; The beatings will continue until morale improves ; Money for nothing ; Learning and unlearning -- IV: Games of chance. Hopes and excuses -- V: Sports. Champions choke ; Jinxes, slumps, and superstitions ; Being smart about it -- VI: Health: Take two aspirin ; The tin standard -- VII: Business. The triumph of mediocrity ; From bad to better and great to good ; Draft picks, CEOs, and soul mates -- VIII: Forecasting. A better crystal ball -- IX: Investing. $100 bills on the sidewalk -- X: Conclusion. Living with regression.

Explores the role of luck, specifically the concept of "regression to the mean," in everyday life, exploring how failures to understand chance and random variations influence choices and perceptions of truth.

Gleick, James, author.

©2016

336 pages : illustrations ; 20 cm

Machine -- Fin de siècle -- Philosophers and pulps -- Ancient lights -- By your bootstraps -- Arrow of time -- A river, a path, a maze -- Eternity -- Buried time -- Backward -- The paradoxes -- What is time? -- Our only boat -- Presently.

Gleick's story begins at the turn of the twentieth century with the young H. G. Wells writing and rewriting the fantastic tale that became his first book, an international sensation, The Time Machine. A host of forces were converging to transmute the human understanding of time, some philosophical and some technological--the electric telegraph, the steam railroad, the discovery of buried civilizations, and the perfection of clocks. Gleick tracks the evolution of time travel as an idea in the culture--from Marcel Proust to Doctor Who, from Woody Allen to Jorge Luis Borges. He explores the inevitable looping paradoxes and examines the porous boundary between pulp fiction and modern physics. Finally, he delves into a temporal shift that is unsettling our own moment: the instantaneous wired world, with its all-consuming present and vanishing future.

Muller, R. (Richard), author.

©2016

364 pages : illustrations ; 25 cm

Includes index.

Part I: Amazing time. The entangled enigma ; Einstein's childhood regression ; The leaping now ; Contradictions and paradoxes ; Lightspeed limit, lightspeed loophole ; Imaginary time ; To infinity and beyond -- Part II: Broken arrow. An arrow of confusion ; Demystifying entropy ; Mystifying entropy ; Time explained ; Our unlikely universe ; The universe erupts ; The end of time ; Throwing entropy under the bus ; Alternative arrows -- Par III: Spooky physics. A cat both dead and alive ; Tickling the quantum ghost ; Einstein is spooked ; Backward time travel observed -- Part IV: Physics and reality. Beyond physics ; Cogito ergo sum ; Free will -- Part V: Now. The 4D Big Bang ; The meaning of now.

"You are reading the word 'now' right now. But what does that mean? What makes the ephemeral moment 'now' so special? Its enigmatic character has bedeviled philosophers, priests, and modern-day physicists from Augustine to Einstein and beyond. Einstein showed that the flow of time is affected by both velocity and gravity, yet he despaired at his failure to explain the meaning of 'now.' Equally puzzling: Why does time flow? Some physicists have given up trying to understand, and call the flow of time an illusion, but the eminent experimental physicist Richard A. Muller protests. He says physics should explain reality, not deny it. In Now, Muller does more than poke holes in past ideas; he crafts his own revolutionary theory, one that makes testable predictions. "--Dust jacket.

Lee Shetterly, Margot, author.

©2016

xviii, 346 pages ; 24 cm

A door opens -- Mobilization -- Past is prologue -- The double V -- Manifest destiny -- War birds -- The duration -- Those who moved forward -- Breaking the barriers -- Home by the sea -- The area rule -- Serendipity -- Turbulence -- Angle of attack -- Young, gifted, and black -- What a difference a day makes -- Outer space -- With all deliberate speed -- Model behavior -- Degrees of freedom -- Out of the past, the future -- America is for everybody -- To boldly go.

Before John Glenn orbited the earth or Neil Armstrong walked on the moon, a group of dedicated female mathematicians known as "human computers" used pencils, slide rules and adding machines to calculate the numbers that would launch rockets, and astronauts, into space. Among these problem-solvers were a group of exceptionally talented African American women, some of the brightest minds of their generation. Originally relegated to teaching math in the South's segregated public schools, they were called into service during the labor shortages of World War II, when America's aeronautics industry was in dire need of anyone who had the right stuff. Suddenly, these overlooked math whizzes had a shot at jobs worthy of their skills, and they answered Uncle Sam's call, moving to Hampton, Virginia, and the fascinating, high-energy world of the Langley Memorial Aeronautical Laboratory. Even as Virginia's Jim Crow laws required them to be segregated from their white counterparts, the women of Langley's all-black "West Computing" group helped America achieve one of the things it desired most: a decisive victory over the Soviet Union in the Cold War, and complete domination of the heavens.

Gribbin, John, 1946- author.

New York : Pegasus Books, 2016.

xiii, 226 pages, 8 unnumbered pages of plates : illustrations ; 22 cm

In the beginning. Early life ; Breaking free ; Einstein and the Ploy ; Rejection ; Rescue -- The annus mirabilis. The doctoral thesis ; Jiggling atoms ; Particles of light ; The special one -- The long and winding word. The geometry of relativity ; Moving on ; In the shadow of a giant ; On the move ; First steps ; What Einstein should have known ; The masterwork -- Legacy. Black holes and timewarps ; Beyond reasonable doubt ; Making waves ; The universe at large -- The icon of science. Personal problems ; Fame ; A last quantum hurrah ; Exile ; Spooky action at a distance ; The final years.

"One of the world's most celebrated science writers reveals the origins of Einstein's General Theory--and provides a greater understanding of who Einstein was at the time of this pivotal achievement,"--NoveList.

Posamentier, Alfred S.

Amherst, New York : Prometheus Books, 2016.

349 pages : illustrations ; 24 cm

The circle relationships in basic plane geometry-and an extension -- Curious relationships involving circles (special roles) -- Famous theorems about circles -- Circle packing problems -- Equicircles -- Circle constructions : the problem of Apollonius -- Inversion-circle symmetry -- Mascheroni constructions-using only a compass -- Circles in art and architecture -- Hypocycloids and Epicycloids -- Spherical geometry : circles on the sphere.

Long, Lynette.

Hauppauge, New York : Barrons Educational Series, Inc., [2016]

viii, 359 pages : illustrations ; 23 cm.

3rd ed. (Hauppauge, N.Y. : Barron's Educational Series, Inc., c2011), has title: Barron's painless algebra.

A painless beginning -- The integers -- Solving equations with one variable -- Solving inequalities -- Graphing linear equations and inequalities -- Solving systems of equations and inequalities -- Exponents -- Roots and radicals -- Quadratic equations -- Advanced topics.

Teaches algebra by explaining integers, simple equations with one variable, inequalities, systems of equations, exponents, roots, radicals, and quadratic equations.

Kelley, W. Michael, author.

©2016

xiv, 338 pages : illustrations ; 24 cm

Includes index.

The roots of calculus -- Laying the foundation for calculus -- The derivative -- The integral -- Differential equations and more.

"Let's face it: the thought of Calculus I can be daunting. But it needn't be. in this helpful guide, the fundamentals of Calculus I are taught in easy-to-understand terms, with lots of explanatory graphs and illustrations and over 150 practice problems that feature simple, step-by-step solutions to really explain what you need to know,"--page [4] of cover.

Ryan, Mark, 1955- author.

©2016

xii, 391 pages : illustrations ; 24 cm.

Includes index.

Getting started with geometry basics -- Introducing proofs -- Triangles: polygons of the three-sided variety -- Polygons of the four-or-more-sided variety -- Working with not-so-vicious circles -- Going deep with 3-D geometry -- Placement, points, and pictures: alternative geometry topics -- The part of tens.