The Beauty of Elementary Mathematics And How to Teach It

類似書籍推薦給您

【簡介】 Why is 2 times 3 equal to 3 times 2? One may think this is an axiom, but it has a proof, and a beautiful one at that. Elementary mathematics is as deep and as beautiful as higher mathematics. It includes some of the most important mathematical discoveries ever, for example the concept of the number, and the place-value method of representing numbers. We are so accustomed to this method, that we forget how clever and beautiful it is — resulting in its incredible efficacy. All this was a surprise for the author, a university professor of mathematics, when he went to teach in elementary school. He realized that good teaching of elementary mathematics requires understanding its fine points and conveying their beauty to the students. Sensing the beauty and understanding go hand in hand. The book outlines the material from kindergarten to grade 6 (with an excursion into algebra as well). It also discusses teaching principles, and their close relatives — thinking principles. Teachers and parents who imbue these principles are likely to convey the love of mathematics to the child. 【目錄】

Pearson English Active Readers Level 1 (Beginning): Theseus and the Minotaur with CD-ROM/1片 and MP3 Audio CD/1片 (1版)

類似書籍推薦給您

【簡介】 Description British English/Classic Theseus is the son of Poseidon, the god of the sea, but he is the son of King Aegeus of Athenstoo. Every year the Minotaur eats people from Athens. Theseus is strong and angry, but he is only a young man. Can he kill the Minotaur? Active Readers Pearson English Active Readers provide a structured and intensive learning experience, with regular comprehension exercises throughout each book. Ideal for classroom use with teenagers. 【目錄】

TIME AND BEAUTY

類似書籍推薦給您

Time and beauty are two of our most visceral perceptions. Yet, their nature is seldom questioned. In this ground-breaking new work, Adrian Bejan — a true 'original' among physicists — explains, in a scholarly yet colorful style, the scientific basis for the perception of time and beauty. Organized into three main ideas, the book begins first with the perception of time. The author expounds on why we feel that time flies faster as we get older. Perceived time, also called "mind time," is different from clock time. In this context, time is another word for "perceived change". Next, readers will discover that beauty is appealing because beautifully-shaped images are scanned faster by two eyes. To observe our immediate surroundings and to understand them faster is highly advantageous to survival; hence, there is an underlying evolutionary advantage to our discernment for ideal ratios, shapes, and beauty at large. Finally, time and beauty are jointly understood to explain why the global pandemic had decelerated our mind time. This understanding arms us with techniques to slow down our mind time (which accelerates with age), and to create the conditions for living longer and more creatively. Scientists may have contemplated aspects of time and beauty separately. In contrast, the author submits an original and rewarding approach to understanding them together. In the process, key questions to our cognition are answered. Why does the mind "try" to make sense of a new mental image? Why is there a natural tendency to organize a new input and mentally position it among past perceptions? Through physics, the book offers a general answer: to empower the individual with speed and clarity of thought, understanding, decision-making and movement. The same answer holds for the other disparate perceptions illustrated in this book, from time and beauty to ideas, message, shape, perspective, art, science, illusions, and dreams. Sample Chapter(s) 1: Overview Contents: Acknowledgement Overview Speeding Time Beauty Contrast Shape Idea Perspective Art and Science Slowing Time Design Science Index Readership: General audience; laypersons, scientists and professionals who are interested in the connections between perceived time and beauty, derived from a scientific approach. The book is the first of its kind The book offers readers deep and powerful ideas which will transform their worldview about time, beauty, and design (Readers can glimpse a flavour of these ideas from the author's TED talk at: https://www.youtube.com/watch?v=KAJmHKieWDk)