Through a careful treatment of number theory and geometry, Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory helps readers understand serious mathematical ideas and proofs. Classroom-tested, the book draws on the authors’ successful work with undergraduate students at the University of Chicago, seventh to tenth grade mathematically talented students in the University of Chicago’s Young Scholars Program, and elementary public school teachers in the Seminars for Endorsement in Science and Mathematics Education (SESAME). The first half of the book focuses on number theory, beginning with the rules of arithmetic (axioms for the integers). The authors then present all the basic ideas and applications of divisibility, primes, and modular arithmetic. They also introduce the abstract notion of a group and include numerous examples. The final topics on number theory consist of rational numbers, real numbers, and ideas about infinity. Moving on to geometry, the text covers polygons and polyhedra, including the construction of regular polygons and regular polyhedra. It studies tessellation by looking at patterns in the plane, especially those made by regular polygons or sets of regular polygons. The text also determines the symmetry groups of these figures and patterns, demonstrating how groups arise in both geometry and number theory. The book is suitable for pre-service or in-service training for elementary school teachers, general education mathematics or math for liberal arts undergraduate-level courses, and enrichment activities for high school students or math clubs.
Through a careful treatment of number theory and geometry, Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory helps readers understand serious mathematical ideas and proofs. Classroom-tested, the book draws on the authors’ successful work with undergraduate students at the University of Chicago, seventh to tenth grade mathematically talented students in the University of Chicago’s Young Scholars Program, and elementary public school teachers in the Seminars for Endorsement in Science and Mathematics Education (SESAME). The first half of the book focuses on number theory, beginning with the rules of arithmetic (axioms for the integers). The authors then present all the basic ideas and applications of divisibility, primes, and modular arithmetic. They also introduce the abstract notion of a group and include numerous examples. The final topics on number theory consist of rational numbers, real numbers, and ideas about infinity. Moving on to geometry, the text covers polygons and polyhedra, including the construction of regular polygons and regular polyhedra. It studies tessellation by looking at patterns in the plane, especially those made by regular polygons or sets of regular polygons. The text also determines the symmetry groups of these figures and patterns, demonstrating how groups arise in both geometry and number theory. The book is suitable for pre-service or in-service training for elementary school teachers, general education mathematics or math for liberal arts undergraduate-level courses, and enrichment activities for high school students or math clubs.
From the classroom to professional practice, nurses will find Guide to the Code of Ethics for Nurses a powerful tool for learning how to apply the values of service in the Code of Ethics to their nursing practice." -- Book Cover.
Have you ever found yourself saying, “I’m never going to pass the math pre-service exam!” This statement, and many others like it, led the authors to discover exactly how to crack the math pre-service exam test code and students are reaping all the benefits. How to Pass the Pre-Service Mathematics Test for Teachers is the result of years of researching and experimenting with what it takes to not only pass the test, but come away from it a better test-taker and a stronger mathematician. The authors offer tons of crystal-clear examples with detailed explanations, all supported by deep mathematical thinking. As an added bonus, there are three comprehensive practice tests carefully created to reflect the format of the test. This book will provide all that is needed to pass the math pre-service exam!
Discover your roots! The answers to all your genealogy questions in one place! This convenient, timesaving collection of genealogy hacks gathers the best resources, tips, lists, and need-to-know facts from the experts at Family Tree Magazine. Inside, you'll find fast facts about a variety of family history topics, such as important dates in US history, the different kinds of DNA tests, and how to use the best genealogy websites. Inside, you'll find: • Key genealogy lists and statistics: common genealogy abbreviations and acronyms, a glossary of genetic genealogy terms, genealogy pitfalls to avoid, and more • Strategies for tracking your ancestors in important documents (including census records, passenger lists, and military records) and performing important genealogical tasks (such as searching Ancestry.com) • A size perfect for carrying with you wherever your research may lead
Meets the diverse need for a reliable reference book on agricultural production, supplies, consumption, facilities, costs and returns. Its tables of annual data cover a wide variety of facts in forms suited to most common use. Statistics include Government as well as non-Government shipments of merchandise from the U. S. Armed Forces abroad for their own use or shipments between the States and U. S. Territories. Numerous Tables.
The Government Performance and Results Act of 1993 (GPRA) was passed to, among other things, improve the effectiveness and efficiency of federal programs by establishing a system to set performance goals and measure results. This report provides information on the implementation of this Act and performance measures used by the U.S. Department of Justice component agencies -- Bureau of Prisons, Civil Rights Div., INTERPOL Div., DEA, National Drug Intelligence Center, Nat. Inst. of Corrections, in Fiscal Year 1996.
Statistical analysis of differences among carriers in denial rates for lack of medical necessity for Medicare Part B claims. Identifies factors that contribute to intercarrier variations. Lists denial rates by treatment, type of coverage & state. Carrier action code. Charts & tables. Appendix.
This good-humored, Generation-X inspired, illustrated "love dictionary" contains tongue-in-cheek slang terms for the different stages of love and dating, for body parts and common sexual experiences, ways of making up and breaking up, and the basic rules of play that every woman should know. 50 two-color illustrations.
Thought and Knowledge applies theory and research from the learning sciences to teach students the critical thinking skills that they need to succeed in today’s world. The text identifies, defines, discusses, and deconstructs contemporary challenges to critical thinking, from fake news, alternative facts, and deep fakes, to misinformation, disinformation, post-truth, and more. It guides students through the explosion of content on the internet and social media and enables them to become careful and critical evaluators as well as consumers. The text is grounded in psychological science, especially the cognitive sciences, and brought to life through humorous and engaging language and numerous practical and real-world examples and anecdotes. This edition has been streamlined with thoughtful consideration over what content to keep, what to cut, and how much new and current research to add. Critical thinking skills are presented in every chapter, empowering students to learn more efficiently, research more productively, and present logical, critical, and informed arguments. The skills are reviewed at the end of the chapter, and a complete list of skills with definitions and examples are included in the appendix. The text is supported by a companion website that features a robust set of instructor and student resources: www.routledge.com/cw/halpern. Thought and Knowledge can be used as a core text in critical thinking courses offered in departments of psychology, philosophy, English, or across the humanities and social sciences, or as a supplement in any course where critical thinking is emphasized.
Provides information on the number and characteristics of infants and toddlers in the Head Start Program. Analyzes 1980 and 1990 decennial census data to provide information on the demographic and economic characteristics of the infant and toddler population. Describes the eligibility criteria of major childhood programs and the percentage of the infant and toddler population served by them. 40 charts, tables and graphs.
Deals with the problem of the growing number of infants born to mothers using drugs and the impact this is having on the nation's health and welfare system. Assesses the extent of the problem; health effects and medical costs of infants born exposed to drugs compared with the costs of those who were not; impact of these births on the social welfare system; and availability of drug treatment and prenatal care to drug-addicted pregnant women. Bibliography. Charts and tables.
If Students Need to Know It, It’s in This Book This book develops the math skills of fourth graders. It builds skills that will help them succeed in school and on the New York State test. Why The Princeton Review? We have more than 20 years of experience helping students master the skills needed to excel on standardized tests. Each year, we help more than 2 million students score higher and earn better grades. We Know the New York State Testing Program Our experts at The Princeton Review have analyzed the New York State test, and this book provides the most up-to-date, thoroughly researched practice possible for the Grade 4 Mathematics test. We break down the test into individual skills to familiarize students with the test’s structure, while increasing their overall skill level. We Get Results We know what it takes to succeed in the classroom and on tests. This book includes strategies that are proven to improve student performance. We provide • content review, detailed lessons, and practice exercises modeled on the skills tested by the New York State Grade 4 Mathematics test • engaging puzzles, riddles, and word problems • 2 complete practice New York State Math tests
The definitive Canadian resource from the leading association on child health & development Paediatrician Dr. Diane Sacks and the CPS have compiled the most current information relating to child health and development. This guide empowers parents to make informed decisions about their child’s well-being by laying out the information in an engaging and informative way. Emphasis is placed on health, development, injury prevention and nutrition. Organized into age-specific sections, the book features a modular format that allows parents or caregivers to jump in and out with just the information they need. Clear instructions are given to help parents assess the severity of a situation or condition, with guidelines that recommend “mention at the next Dr.’s appt.,” “make an appt. to see the Dr.,” or “proceed to the clinic or emergency room immediately.” This type of easy-to-apply advice will make this a “go to” resource for generations to come. The book includes the most up-to-date information on: Preparing for your baby’s arrival The role of the parent in caring for your child’s health The Canadian Health Care System: dealing with the system and your role as a parent in getting the best care Growth and Development charts A detailed section on children’s mental health The Canadian Paediatric Society (CPS) has been working for children since 1922. Today more than 2,000 paediatricians from across Canada belong to the CPS.
Conservation initiatives have profound social impacts and consequences for local communities and cultures. This text offers an introduction to methods, from ethnography and interviews to surveys and community mapping, always attending the imperatives of local control and community partnerships.
Here is a book of easy reading poetry that is meant for everyone's pleasure especially someone who likes a good rhyme. More importantly it has a bonus of having social stories in the margins of all the pages of poetry to help a developmentally challenged child understand what is in the text of the poem. Diane has found that social stories are very helpful in teaching her autistic child to understand concepts he may not otherwise be able to understand. These pictures and corresponding text would be a good way to pass on social skills to people like her child. She has found that social skills are at the very root and basis of a meaningful life and help enrich the learning experience. This has helped her child to understand difficult concepts and has worked well in conjunction with the medicine he takes from a well recognized physician. She wants to make as much of this new language as she can. This is her first book and hopefully the first of many.
Recipient of the 2019 Most Promising New Textbook Award from the Textbook & Academic Authors Association (TAA). "The authors of Attainable Region Theory: An Introduction to an Choosing Optimal Reactor make what is a complex subject and decades of research accessible to the target audience in a compelling narrative with numerous examples of real-world applications." TAA Award Judges, February 2019 Learn how to effectively interpret, select and optimize reactors for complex reactive systems, using Attainable Region theory Teaches how to effectively interpret, select and optimize reactors for complex reactive systems, using Attainable Region (AR) theory Written by co-founders and experienced practitioners of the theory Covers both the fundamentals of AR theory for readers new to the field, as we all as advanced AR topics for more advanced practitioners for understanding and improving realistic reactor systems Includes over 200 illustrations and 70 worked examples explaining how AR theory can be applied to complex reactor networks, making it ideal for instructors and self-study Interactive software tools and examples written for the book help to demonstrate the concepts and encourage exploration of the ideas
A report to the Technical Advisory Committee for Diabetes Translation and Community Control Programs of the Centers for Disease Control. The specific nature and extent of its impact is summarized for the 50 States and the District of Columbia
Provides trends for: some mission-related indicators that IRS has traditionally used; some of IRS' key enforcement programs, and IRS' taxpayer service and tax return processing activities. Also includes information on: recent developments within IRS relating to performance measures, and gaps in IRS' management information. Charts, graphs and tables.
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