Numbers and Computers


Book Description

This is a book about numbers and how those numbers are represented in and operated on by computers. It is crucial that developers understand this area because the numerical operations allowed by computers, and the limitations of those operations, especially in the area of floating point math, affect virtually everything people try to do with computers. This book aims to fill this gap by exploring, in sufficient but not overwhelming detail, just what it is that computers do with numbers. Divided into two parts, the first deals with standard representations of integers and floating point numbers, while the second details several other number representations. Each chapter ends with exercises to review the key points. Topics covered include interval arithmetic, fixed-point numbers, floating point numbers, big integers and rational arithmetic. This book is for anyone who develops software including software engineerings, scientists, computer science students, engineering students and anyone who programs for fun.




Knowing and Teaching Elementary Mathematics


Book Description

The 20th anniversary edition of this groundbreaking and bestselling volume offers powerful examples of the mathematics that can develop the thinking of elementary school children. 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 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. Along with the original studies of U.S. and Chinese teachers’ mathematical understanding, this 20th anniversary edition includes a new preface and a 2013 journal article by Ma, "A Critique of the Structure of U.S. Elementary School Mathematics" that describe differences in U.S. and Chinese elementary mathematics. These are augmented by a new series editor’s introduction and two key journal articles that frame and contextualize this seminal work.




Learning Targets for Numeracy


Book Description

A practical teacher's resource for use at KS1/P1-3, this work provides structured lesson plans and linked copymasters, putting the emphasis on direct teaching and targets for pupil achievement in every lesson. Written in line with the National Curriculum and Scottish 5-14 Guidelines, it covers the main ideas in number for 5-7 year olds.




Knowing and Teaching Elementary Mathematics


Book Description

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.




Financial Intelligence, Revised Edition


Book Description

Explains what business numbers mean and why they matter, and addresses issues that have become more important in recent years, including questions about the financial crisis and accounting literacy.




A Course in Number Theory and Cryptography


Book Description

The purpose of this book is to introduce the reader to arithmetic topics, both ancient and modern, that have been at the center of interest in applications of number theory, particularly in cryptography. Because number theory and cryptography are fast-moving fields, this new edition contains substantial revisions and updated references.




Teaching and Learning Mathematics


Book Description

School mathematics is a complex subject and an ever-changing topic, but this book will help teachers, parents and employers to understand it better.




Computer and Information Security Handbook


Book Description

Computer and Information Security Handbook, Third Edition, provides the most current and complete reference on computer security available in one volume. The book offers deep coverage of an extremely wide range of issues in computer and cybersecurity theory, applications, and best practices, offering the latest insights into established and emerging technologies and advancements. With new parts devoted to such current topics as Cloud Security, Cyber-Physical Security, and Critical Infrastructure Security, the book now has 100 chapters written by leading experts in their fields, as well as 12 updated appendices and an expanded glossary. It continues its successful format of offering problem-solving techniques that use real-life case studies, checklists, hands-on exercises, question and answers, and summaries. Chapters new to this edition include such timely topics as Cyber Warfare, Endpoint Security, Ethical Hacking, Internet of Things Security, Nanoscale Networking and Communications Security, Social Engineering, System Forensics, Wireless Sensor Network Security, Verifying User and Host Identity, Detecting System Intrusions, Insider Threats, Security Certification and Standards Implementation, Metadata Forensics, Hard Drive Imaging, Context-Aware Multi-Factor Authentication, Cloud Security, Protecting Virtual Infrastructure, Penetration Testing, and much more. Online chapters can also be found on the book companion website: https://www.elsevier.com/books-and-journals/book-companion/9780128038437 - Written by leaders in the field - Comprehensive and up-to-date coverage of the latest security technologies, issues, and best practices - Presents methods for analysis, along with problem-solving techniques for implementing practical solutions




Learning and Experiencing Cryptography with CrypTool and SageMath


Book Description

This book provides a broad overview of cryptography and enables cryptography for trying out. It emphasizes the connections between theory and practice, focuses on RSA for introducing number theory and PKI, and links the theory to the most current recommendations from NIST and BSI. The book also enables readers to directly try out the results with existing tools available as open source. It is different from all existing books because it shows very concretely how to execute many procedures with different tools. The target group could be self-learners, pupils and students, but also developers and users in companies. All code written with these open-source tools is available. The appendix describes in detail how to use these tools. The main chapters are independent from one another. At the end of most chapters, you will find references and web links. The sections have been enriched with many footnotes. Within the footnotes you can see where the described functions can be called and tried within the different CrypTool versions, within SageMath or within OpenSSL.




Problem Solving, Reasoning and Numeracy in the Early Years Foundation Stage


Book Description

The Practical Guidance in the Early Years Foundation Stage series will assist practitioners in the smooth and successful implementation of the Early Years Foundation Stage. Each book gives clear and detailed explanations of each aspect of Learning and Development and encourages readers to consider each area within its broadest context to expand and develop their own knowledge and good practice. Practical ideas and activities for all age groups are offered along with a wealth of expertise of how elements from the practice guidance can be implemented within all early years settings. The books include suggestions for the innovative use of everyday ressources, popular books and stories. This book offers an in-depth understanding of children's thinking skills from a psychological perspective. The book introduces the Learning Tools model, a vital cognitive tool used by children to learn and solve problems, and gives practical ideas on how practitioners can use everyday materials to promote problem solving and early numeracy skills through play. Readers are encouraged to reflect on their own practice and understanding to help them provide learning opportunities to meet the unique needs of all children in their setting.