Download or read book The Essence of Mathematics Through Elementary Problems written by Alexandre Borovik and published by . This book was released on 2019-06-11 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Knowing and Teaching Elementary Mathematics written by Liping Ma and published by Routledge. This book was released on 2010-03-26 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. The anniversary edition of this bestselling volume includes the original studies that compare U.S and Chinese elementary school teachers’ mathematical understanding and offers a powerful framework for grasping the mathematical content necessary to understand and develop the thinking of school children. Highlighting notable changes in the field and the author’s work, this new edition includes an updated preface, introduction, and key journal articles that frame and contextualize this seminal work.
Download or read book Understanding Numbers in Elementary School Mathematics written by Hongxi Wu and published by American Mathematical Soc.. This book was released on 2011 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook for pre-service elementary school teachers and for current teachers who are taking professional development courses. By emphasizing the precision of mathematics, the exposition achieves a logical and coherent account of school mathematics at the appropriate level for the readership. Wu provides a comprehensive treatment of all the standard topics about numbers in the school mathematics curriculum: whole numbers, fractions, and rational numbers. Assuming no previous knowledge of mathematics, the presentation develops the basic facts about numbers from the beginning and thoroughly covers the subject matter for grades K through 7. Every single assertion is established in the context of elementary school mathematics in a manner that is completely consistent with the basic requirements of mathematics. While it is a textbook for pre-service elementary teachers, it is also a reference book that school teachers can refer to for explanations of well-known but hitherto unexplained facts. For example, the sometimes-puzzling concepts of percent, ratio, and rate are each given a treatment that is down to earth and devoid of mysticism. The fact that a negative times a negative is a positive is explained in a leisurely and comprehensible fashion.
Download or read book Vision in Elementary Mathematics written by W. W. Sawyer and published by Courier Corporation. This book was released on 2012-09-26 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sure-fire techniques of visualizing, dramatizing, and analyzing numbers promise to attract and retain students' attention and understanding. Topics include basic multiplication and division, algebra, word problems, graphs, negative numbers, fractions, many other practical applications of elementary mathematics. 1964 ed. Answers to Problems.
Download or read book Math Circles for Elementary School Students written by Natasha Rozhkovskaya and published by American Mathematical Soc.. This book was released on 2014-11-05 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main part of this book describes the first semester of the existence of a successful and now highly popular program for elementary school students at the Berkeley Math Circle. The topics discussed in the book introduce the participants to the basics of many important areas of modern mathematics, including logic, symmetry, probability theory, knot theory, cryptography, fractals, and number theory. Each chapter in the first part of this book consists of two parts. It starts with generously illustrated sets of problems and hands-on activities. This part is addressed to young readers who can try to solve problems on their own or to discuss them with adults. The second part of each chapter is addressed to teachers and parents. It includes comments on the topics of the lesson, relates those topics to discussions in other chapters, and describes the actual reaction of math circle participants to the proposed activities. The supplementary problems that were discussed at workshops of Math Circle at Kansas State University are given in the second part of the book. The book is richly illustrated, which makes it attractive to its young audience. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession. Titles in this series are co-published with the Mathematical Sciences Research Institute (MSRI).
Download or read book 100 Great Problems of Elementary Mathematics written by Heinrich Dörrie and published by Courier Corporation. This book was released on 2013-04-09 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge, Steiner, and other great mathematical minds. Features squaring the circle, pi, and similar problems. No advanced math is required. Includes 100 problems with proofs.
Download or read book Elementary Mathematical Models An Accessible Development without Calculus Second Edition written by Dan Kalman and published by American Mathematical Soc.. This book was released on 2019-08-02 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary Mathematical Models offers instructors an alternative to standard college algebra, quantitative literacy, and liberal arts mathematics courses. Presuming only a background of exposure to high school algebra, the text introduces students to the methodology of mathematical modeling, which plays a role in nearly all real applications of mathematics. A course based on this text would have as its primary goal preparing students to be competent consumers of mathematical modeling in their future studies. Such a course would also provide students with an understanding of the modeling process and a facility with much of the standard, non-trigonometric, content of college algebra and precalculus. This book builds, successively, a series of growth models defined in terms of simple recursive patterns of change corresponding to arithmetic, quadratic, geometric, and logistic growth. Students discover and come to understand linear, polynomial, exponential, and logarithmic functions in the context of analyzing these models of intrinsically—and scientifically—interesting phenomena including polar ice extent, antibiotic resistance, and viral internet videos. Students gain a deep appreciation for the power and limitations of mathematical modeling in the physical, life, and social sciences as questions of modeling methodology are carefully and constantly addressed. Realistic examples are used consistently throughout the text, and every topic is illustrated with models that are constructed from and compared to real data. The text is extremely attractive and the exposition is extraordinarily clear. The lead author of this text is the recipient of nine MAA awards for expository writing including the Ford, Evans, Pólya, and Allendoerfer awards and the Beckenbach Book prize. Great care has been taken by accomplished expositors to make the book readable by students. Those students will also benefit from more than 1,000 carefully crafted exercises.
Download or read book Ray s New Primary Arithmetic for Young Learners written by Joseph Ray and published by Рипол Классик. This book was released on 1877 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Thinking Mathematically written by Thomas P. Carpenter and published by Heinemann Educational Books. This book was released on 2003 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the authors reveal how children's developing knowledge of the powerful unifying ideas of mathematics can deepen their understanding of arithmetic
Download or read book One Two Three written by David Berlinski and published by Vintage. This book was released on 2012-05-01 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: The acclaimed author of A Tour of the Calculus and The Infinite Ascent offers an enlightening and enthralling tour of the basics of mathematics, and reveals a world of fascination in fundamental mathematical ideas. One, Two, Three is David Berlinski’s captivating exploration of the foundation of mathematics, its fundamental ideas, and why they matter. By unraveling the complex answers to these most elementary questions—What is a number? How do addition, subtraction, and other functions actually work? What are geometry and logic?—Berlinski reveals the intricacy behind their seemingly simple exteriors. Peppered with enlightening historical anecdotes and asides on some of history’s most fascinating mathematicians, One, Two, Three, revels in the beauty of numbers as Berlinski shows us how and why these often slippery concepts are as essential to the field of mathematics as to who we are.
Download or read book Elementary Concepts of Topology written by Paul Alexandroff and published by Courier Corporation. This book was released on 2012-08-13 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise work presents topological concepts in clear, elementary fashion, from basics of set-theoretic topology, through topological theorems and questions based on concept of the algebraic complex, to the concept of Betti groups. Includes 25 figures.
Download or read book Lectures on Elementary Mathematics written by Joseph Louis Lagrange and published by Courier Corporation. This book was released on 2012-08-29 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the 18th century's greatest mathematicians delivered these lectures at a training school for teachers. An exemplar among elementary expositions, they combine original ideas and elegant expression. 1898 edition.
Download or read book Connecting Arithmetic to Algebra written by Susan Jo Russell and published by Heinemann Educational Books. This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "To truly engage in mathematics is to become curious and intrigued about regularities and patterns, then describe and explain them. A focus on the behavior of the operations allows students starting in the familiar territory of number and computation to progress to true engagement in the discipline of mathematics." -Susan Jo Russell, Deborah Schifter, and Virginia Bastable Algebra readiness: it's a topic of concern that seems to pervade every school district. How can we better prepare elementary students for algebra? More importantly, how can we help all children, not just those who excel in math, become ready for later instruction? The answer lies not in additional content, but in developing a way of thinking about the mathematics that underlies both arithmetic and algebra. Connecting Arithmetic to Algebra invites readers to learn about a crucial component of algebraic thinking: investigating the behavior of the operations. Nationally-known math educators Susan Jo Russell, Deborah Schifter, and Virginia Bastable and a group of collaborating teachers describe how elementary teachers can shape their instruction so that students learn to: *notice and describe consistencies across problems *articulate generalizations about the behavior of the operations *develop mathematical arguments based on representations to explain why such generalizations are or are not true. Through such work, students become familiar with properties and general rules that underlie computational strategies-including those that form the basis of strategies used in algebra-strengthening their understanding of grade-level content and at the same time preparing them for future studies. Each chapter is illustrated by lively episodes drawn from the classrooms of collaborating teachers in a wide range of settings. These provide examples of posing problems, engaging students in productive discussion, using representations to develop mathematical arguments, and supporting both students with a wide range of learning profiles. Staff Developers: Available online, the Course Facilitator's Guide provides math leaders with tools and resources for implementing a Connecting Arithmetic to Algebra workshop or preservice course. For information on the PD course offered through Mount Holyoke College, download the flyer.
Download or read book An Elementary Arithmetic written by George Albert Wentworth and published by . This book was released on 1893 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Math Lessons for a Living Education Level 1 written by Angela O'Dell and published by New Leaf Publishing Group. This book was released on 2016-04-06 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: Have you ever noticed that we tend to compartmentalize when teaching our children? In real life, there aren’t artificial barriers between “subjects.” For example, when you are cooking or baking, you have to use the skills of reading, logical thinking, and measuring, just to name a few. In driving a car, you see and read road signs, read maps, and count miles. It has become quite clear that there is an abundance of math curriculums available that are nothing but monotonous drill sheets dressed up in pretty colors. Pretty colors do not make a living book. Content, story, and the ability to show math in real life make a living math book. Math Level 1: Teach math lessons through the creative means of a life storyProvides a link for the downloadable answer keyHas a scope and sequence that contains learning numbers 0 to 100, circles and patterns, counting and addition, days of the week, and telling time. This book was written to be used by you and your young student together. It is the story of a twin brother and sister, Charlie and Charlotte, who are visiting their grandparents’ farm. They soon learn that the farm is full of learning opportunities! As you read their story, your students will be drawn into the adventure along with the twins. They will learn about numbers, shapes, place value, adding, and subtracting. They will also learn about gardening, baby animals on the farm, nature, and the love of family. They will hear exciting stories from Grandpa and Grandma, and they will be invited to join the twins on their living math adventures. We hope you have a grand time on this adventure!
Download or read book Mastering Math Facts Addition and Subtraction written by Richard S Piccirilli and published by Teaching Resources. This book was released on 2009-05 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Packed with surefire learning strategies and dozens of practice pages to sharpen computational fluency, this book provides teachers with everything they need to help students master the 200 addition and subtraction facts that lay the groundwork for building proficiency and speed in problem solving. Veteran teacher Richard Piccirilli guides teachers through five steps to teaching for math-fact mastery. These steps help students 1. Develop a concrete understanding of multiplication and division 2. Use strategies that make learning facts easier and less stressful 3. Practice the procedures and strategies 4. Do meaningful drill exercises to ensure automatic recall 5. Test for mastery so that teachers can pinpoint areas for reteaching For use with Grades 1�3.
Download or read book Elementary Arithmetic written by Charles William Morey and published by . This book was released on 1910 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: