Contare è una di quelle attività che accompagnano l'uomo da sempre. È una curiosità, una necessità, un desiderio. Viene naturale - più o meno, dirà qualcuno... - e nonostante il più delle volte non ci pensiamo quando lo facciamo, è un processo che nasconde un sorprendente livello di raffinatezza, a partire dall'idea stessa di numero e della sua astrazione. Dagli antichi egizi fino ai romani e agli arabi, per poi passare in Cina, in India e in Europa, arrivando infine all'invenzione del computer, Paul Lockhart ripercorre la storia dell'aritmetica, cioè la storia di come l'uomo ha soddisfatto questo suo impulso naturale di confrontare mucchi di oggetti, rappresentarli in modi più o meno astratti, manipolarli, sommarli e moltiplicarli. E inventa tre tribù (il Popolo delle Mani, il Popolo delle Banane e il Popolo degli Alberi) per spiegarci che il modo in cui contiamo e rappresentiamo i numeri non è altro che una convenzione. "Aritmetica" non è il solito libro di matematica ricreativa. Non troverete giochini o indovinelli, ma quesiti stimolanti; nessun trucco, se non quello della bellezza semplice e profonda dei numeri, che è poi la bellezza dell'intelligenza umana.

Offers a solution to math phobia by introducing readers to mathematics as an artful way of thinking and living.

For seven years, Paul Lockhart's A Mathematician's Lament enjoyed a samizdat-style popularity in the mathematics underground, before demand prompted its 2009 publication to even wider applause and debate. An impassioned critique of K–12 mathematics education, it outlined how we shortchange students by introducing them to math the wrong way. Here Lockhart offers the positive side of the math education story by showing us how math should be done. Measurement offers a permanent solution to math phobia by introducing us to mathematics as an artful way of thinking and living.

In conversational prose that conveys his passion for the subject, Lockhart makes mathematics accessible without oversimplifying. He makes no more attempt to hide the challenge of mathematics than he does to shield us from its beautiful intensity. Favoring plain English and pictures over jargon and formulas, he succeeds in making complex ideas about the mathematics of shape and motion intuitive and graspable. His elegant discussion of mathematical reasoning and themes in classical geometry offers proof of his conviction that mathematics illuminates art as much as science.

Lockhart leads us into a universe where beautiful designs and patterns float through our minds and do surprising, miraculous things. As we turn our thoughts to symmetry, circles, cylinders, and cones, we begin to see that almost anyone can “do the math” in a way that brings emotional and aesthetic rewards. Measurement is an invitation to summon curiosity, courage, and creativity in order to experience firsthand the playful excitement of mathematical work.

Paul Lockhart combines military and political history to offer a major reassessment of one of the most famous battles in American history.

One hot June afternoon in 1775, on the gentle slopes of a hill near Boston, Massachusetts, a small band of ordinary Americans?frightened but fiercely determined?dared to stand up to a superior British force. The clash would be immortalized as the Battle of Bunker Hill: the first real engagement of the American Revolution and one of the most famous battles in our history. But Bunker Hill was not the battle that we have been taught to believe it was.

Revisiting old evidence and drawing on new research, historian Paul Lockhart, author of The Drillmaster of Valley Forge, shows that Bunker Hill was a clumsy engagement pitting one inexperienced army against another. Lockhart tells the rest of the story, too: how a mob of armed civilians became America's first army; how George Washington set aside his comfortable patrician life to take command of the veterans of Bunker Hill; and how the forgotten heroes of 1775?though overshadowed by the more famous Founding Fathers?kept the notion of American liberty alive, and thus made independence possible.

A failure in midlife, the Baron de Steuben uprooted himself from his native Europe to seek one last chance at glory and fame in the New World. Steeped in the traditions of the Prussian army of Frederick the Great—the most ruthlessly effective in Europe—he taught the demoralized soldiers of the Continental Army how to fight like Europeans. His guiding hand shaped the fighting force that triumphed over the British at Monmouth, Stony Point, and Yorktown. But his influence did not end with the Revolution. Steuben was instrumental in creating West Point and in writing the first official regulations of the American army, and his principles have guided the American armed forces to this day.

In The Drillmaster at Valley Forge, Paul Lockhart tells the remarkable story of an extraordinary man—bringing to flesh and blood life the hitherto little-known figure whose image has long been part of the iconography of our Revolutionary heritage.

Formule da memorizzare, procedure da seguire, definizioni da ripetere parola per parola, simboli astrusi da manipolare: è questa la matematica? No, è solo la triste caricatura cui l'ha ridotta la scuola. A dirlo è un professore che ha deciso di rivoluzionare i metodi di insegnamento ansiogeni, terroristici, frustranti che il programmagli imporrebbe. Perché la vera matematica è una sublime forma d'arte, e la creazione e l'esplorazione di un mondo immaginario abitato da creature fantastiche, è "poesia della ragione". Questo piccolo libro ricolmo di passione è insieme una critica impietosa a un'istruzione che uccide ogni piacere della scoperta e un inno gioioso alla libera attività dello spirilo.

In this manifesto Lockhart explains that mathematics is in fact an art and that by reducing it to a set of facts and procedures to be memorized modern education methods have left nothing but a boring shell; comparable to studying music only with notation and theory, or painting through color swatches and paint-by-numbers. He contends that most students have only experienced math with the depth, beauty, imagination, and history removed and suggests we approach the subject from a playful, intuitive and aesthetic angle. Very well written, this book will be of equal interest to teachers, students, parents, mathematicians and general readers. Lockhart has taught mathematics at Brown U and UC Santa Cruz and currently teaches K-12 students in New York. Annotation ©2009 Book News, Inc., Portland, OR (booknews.com)