For instructors of liberal arts mathematics classes who focus on problem-solving, Harold Jacobs's remarkable textbook has long been the answer, helping teachers connect with of math-anxious students. Drawing on over thirty years of classroom experience, Jacobs shows students how. This is a go-to reference for math project ideas (I'm a teacher), more often as a source of inspiration than ready-made things. It also activates the "wonder" factor . Elementary Algebra by Harold R. Jacobs Hardcover $ Mathematics: A Human Endeavor (3rd Edition) Student Workbook for Jacobs Mathematics: A Human Endeavor.
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So in order to grant all the interesting features of our environment their moment in the foveal spotlight, we move our eyes around — a lot — in darts that scientists call saccades.
Saccades are guided by what we are paying attention to, even though we are often blissfully unaware of them. This illustration laying out the basic structure of the eye shows where the fovea — where images are rendered in high resolution — is situated.
Eye jerks known as saccades allow different parts of a scene to come into the line of sight of the fovea. Scientists refer to this phenomenon as visual masking, and it is thought to be very common in real-life situations where a lot is going on at the same time.
If scientists set up experiments in a way that avoids this visual masking, it reveals that our brains can perceive the less noticeable things. This can be done, Morrone explains, by showing people nothing but very faint and short-lived visual stimuli on an otherwise empty background.
Under these conditions, surprising things may happen. Since we do not notice our constant saccades, this suggests that the brain specifically suppresses the signals that reach our retina while a saccadic eye movement is in process. And indeed, experiments have shown that if something appears during a saccade, we may miss it entirely. If we were to see our surroundings from one angle, then see nothing, and then suddenly see it from another angle, that would still be unsettling.
Instead, as Wurtz and others have shown, a kind of remapping happens even before we move our eyes. In experiments with macaques that were trained to make predictable saccades, brain cells that receive signals from one particular spot in the retina switched from responding to things currently in view there to things that would show up only after the saccade.
And that happened before the monkeys moved their eyes.
The students could actually participate in the discovery of mathematics. These mathematical puzzles often require specialized knowledge in some branch of Mathematics.
Diagrams, videos, slideshows, problems and interactive games let the content come to life. White - The Open Court Publishing Company , The tendency to select the problems and illustrations of mathematics mostly from the scientific and commercial activities of today, is one with which the writer is in accord.
Moreover, amusement is one of the fields of applied mathematics.
An expertly written book by a brilliant man, filled with valuable insights. We do not promise an easy ride: it will take a considerable effort from the reader to follow the details of the arguments. Finan - Arkansas Tech University , Problem-solving is the cornerstone of school mathematics.
The techniques discussed in this book should help you to become a better problem solver and should show you how to help others develop their problem-solving skills. Perfect as an accompaniment to any science class. This book can be viewed as a sequel to Mathematics under the Microscope, but with focus shifted on mathematics as it was experienced by children well, by children who became mathematicians.
We connected all our mathematics with the work in the shops and laboratories. Drawing on over thirty years of classroom experience, Jacobs shows students how to make observations, discover relationships, and solve problems in the context of ordinary exp For instructors of liberal arts mathematics classes who focus on problem-solving, Harold Jacobs's remarkable textbook has long been the answer, helping teachers connect with of math-anxious students.
Drawing on over thirty years of classroom experience, Jacobs shows students how to make observations, discover relationships, and solve problems in the context of ordinary experience. WorldCat Subjects: Get A Copy. Hardcover , Second Edition , pages. Published October 1st by W.
More Details Original Title. Other Editions 6. Friend Reviews. To see what your friends thought of this book, please sign up. To ask other readers questions about Mathematics, a Human Endeavor , please sign up.
Be the first to ask a question about Mathematics, a Human Endeavor. Lists with This Book. Community Reviews. Showing Rating details. More filters. Sort order. I love this math text!
It happens to be one of my favorite books of all time. You know, I didn't even like mathematics before I started teaching. Funny then, that after five years of doing so I would find a text book that intrigued me so much that it would become a highly prized object. There is more to mathematics than computational techniques! Jacobs' clear and entertaining text which is full of cartoons, pictures, and anecdotes inspires a love of math.
Each chapter invites the reader to discover for himself the patterns and structure of a particular topic.