Basic Algebra

Basic Algebra
Author: Anthony W. Knapp
Publisher: Springer Science & Business Media
Total Pages: 762
Release: 2007-07-28
Genre: Mathematics
ISBN: 0817645292

Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole. The presentation includes blocks of problems that introduce additional topics and applications to science and engineering to guide further study. Many examples and hundreds of problems are included, along with a separate 90-page section giving hints or complete solutions for most of the problems.

Algebra and the Elementary Classroom

Algebra and the Elementary Classroom
Author: Maria L. Blanton
Publisher: Heinemann Educational Books
Total Pages: 228
Release: 2008
Genre: Education
ISBN:

Algebra in the Elementary Classroom provides the support we need as teachers to embed the development of students' algebraic thinking in the teaching of elementary school. - Megan Loef Franke Coauthor of Children's Mathematics and Thinking Mathematically How do you start students down the road to mathematical understanding? By laying the foundation for algebra in the elementary grades. Algebra and the Elementary Classroom shares ideas, tasks, and practices for integrating algebraic thinking into your teaching. Through research-based and classroom-tested strategies, it demonstrates how to use materials you have on hand to prepare students for formal algebra instruction - without adding to your overstuffed curriculum. You'll find ways to: introduce algebraic thinking through familiar arithmetical contexts nurture it by helping students think about, represent, and build arguments for their mathematical ideas develop it by exploring mathematical structures and functional relationships strengthen it by asking students to make algebraic connections across the curriculum reinforce it across the grades through a schoolwide initiative. No matter what your math background is, Algebra and the Elementary Classroom offers strong support for integrating algebraic thinking into your daily teaching. Its clear descriptions show you what algebraic thinking is and how to teach it. Its sample problems deepen your own algebraic thinking. Best of all, it gives you ideas for grade-specific instructional planning. Read Algebra and the Elementary Classroom and prepare your students for a lifetime of mathematical understanding.

An Introduction to the History of Algebra

An Introduction to the History of Algebra
Author: Jacques Sesiano
Publisher: American Mathematical Soc.
Total Pages: 187
Release: 2009
Genre: Mathematics
ISBN: 0821844733

Offers a basic introduction to the types of problems that illustrate the earliest forms of algebra. This book presents some significant steps in solving equations and, wherever applicable, to link these developments to the extension of the number system. It analyzes various examples of problems, with their typical solution methods.

Algebra

Algebra
Author: I.M. Gelfand
Publisher: Springer Science & Business Media
Total Pages: 164
Release: 2003-07-09
Genre: Mathematics
ISBN: 9780817636777

This book is about algebra. This is a very old science and its gems have lost their charm for us through everyday use. We have tried in this book to refresh them for you. The main part of the book is made up of problems. The best way to deal with them is: Solve the problem by yourself - compare your solution with the solution in the book (if it exists) - go to the next problem. However, if you have difficulties solving a problem (and some of them are quite difficult), you may read the hint or start to read the solution. If there is no solution in the book for some problem, you may skip it (it is not heavily used in the sequel) and return to it later. The book is divided into sections devoted to different topics. Some of them are very short, others are rather long. Of course, you know arithmetic pretty well. However, we shall go through it once more, starting with easy things. 2 Exchange of terms in addition Let's add 3 and 5: 3+5=8. And now change the order: 5+3=8. We get the same result. Adding three apples to five apples is the same as adding five apples to three - apples do not disappear and we get eight of them in both cases. 3 Exchange of terms in multiplication Multiplication has a similar property. But let us first agree on notation.

Handbook of Algebra

Handbook of Algebra
Author: M. Hazewinkel
Publisher: Elsevier
Total Pages: 577
Release: 2008-04-18
Genre: Mathematics
ISBN: 0080569412

Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different items would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a name or a convenient designation. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. If this happens, one should be able to find enough information in this Handbook to judge if it is worthwhile to pursue the quest. In addition to the primary information given in the Handbook, there are references to relevant articles, books or lecture notes to help the reader. An excellent index has been included which is extensive and not limited to definitions, theorems etc. The Handbook of Algebra will publish articles as they are received and thus the reader will find in this third volume articles from twelve different sections. The advantages of this scheme are two-fold: accepted articles will be published quickly and the outline of the Handbook can be allowed to evolve as the various volumes are published. A particularly important function of the Handbook is to provide professional mathematicians working in an area other than their own with sufficient information on the topic in question if and when it is needed. - Thorough and practical source of information - Provides in-depth coverage of new topics in algebra - Includes references to relevant articles, books and lecture notes

Primary Mathematics: Teaching For Understanding

Primary Mathematics: Teaching For Understanding
Author: Barmby, Patrick
Publisher: McGraw-Hill Education (UK)
Total Pages: 232
Release: 2009-09-01
Genre: Education
ISBN: 0335229263

This book addresses the particular areas of mathematics within the primary curriculum that teachers find difficult to teach and in which children struggle to achieve.. .It begins with introductory sections on how children learn mathematics and is then organised on a subject area basis, dealing with the teaching of particular maths topics. Key topics addressed include rounding and measuring, means and medians, fractions, negative numbers, commutative and associative laws in number operations, and shape and space. .Within each chapter, the authors examine the themes of representing, reasoning and communicating, drawing out both the subject knowledge and ways of teaching each topic. A reference section for studies drawn upon is provided at the end of each chapter.....

Teaching School Mathematics: Pre-Algebra

Teaching School Mathematics: Pre-Algebra
Author: Hung-Hsi Wu:
Publisher: American Mathematical Soc.
Total Pages: 407
Release: 2016-06-29
Genre: Education
ISBN: 1470427206

This is a systematic exposition of a major part of the mathematics of grades 5 to 8 (excluding statistics), written specifically for Common Core era teachers. It differs from other books for teachers in that the mathematics is correct, in the sense that all the concepts are clearly and correctly defined, and a grade-appropriate explanation (that is, proof) is given for every assertion. For example, it gives a precise definition of percent and explains how to use the definition to do all the standard problems about percent in an entirely routine manner. It also gives a leisurely explanation for “negative times negative is positive”. Another key feature is an intuitive introduction to plane geometry via rotations, translations, reflections, and dilations that, instead of treating these transformations as merely fun activities, shows how they make sense of the usual geometric topics in middle school, including congruence, similarity, length, area, and volume. In short, the readers will find in this volume a clear explanation of whatever was once puzzling to them in the mathematics of grades 5 to 8.