Download or read book Fractions Ratios and Roots written by Renate Motzer and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Renate Motzer introduces the world of fractions and connects them with decimal numbers. She clearly shows that fractions can be understood as parts of a whole, but also as ratios of two quantities. The author clearly shows why roots cannot be exactly indicated by fractions, how to find good approximations and why an unusual addition of fractions can lead to paradoxical results. Furthermore, she explains the use of fractions in percentage and probability calculations in a practical way and finally discusses different ways of forming mean values. This Springer essential is a translation of the original German 1st edition essentials, Brüche, Verhältnisse und Wurzeln by Renate Motzer, published by Springer Fachmedien Wiesbaden GmbH, part of Springer Nature in 2018. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors. The contents What are (common) fractions? Fractures as ratios Irrational numbers Conditional probabilities The target groups Lecturers and students of mathematics or students who want to repeat basic knowledge of fractions for their statistics lectures People interested in mathematics, who want to refresh and expand their knowledge from fractions to hypothesis testing from school The Author Dr. Renate Motzer is an academic senior councillor at the Chair for Didactics of Mathematics at the University of Augsburg. Her main focus is the didactic and professional training of future mathematics teachers at various types of schools.
Download or read book Fractions Ratios and Roots written by Renate Motzer and published by Springer Nature. This book was released on 2021-06-25 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: Renate Motzer introduces the world of fractions and connects them with decimal numbers. She clearly shows that fractions can be understood as parts of a whole, but also as ratios of two quantities. The author clearly shows why roots cannot be exactly indicated by fractions, how to find good approximations and why an unusual addition of fractions can lead to paradoxical results. Furthermore, she explains the use of fractions in percentage and probability calculations in a practical way and finally discusses different ways of forming mean values. This Springer essential is a translation of the original German 1st edition essentials, Brüche, Verhältnisse und Wurzeln by Renate Motzer, published by Springer Fachmedien Wiesbaden GmbH, part of Springer Nature in 2018. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors.
Download or read book Teaching Fractions and Ratios for Understanding written by Susan J. Lamon and published by Routledge. This book was released on 2006-08-15 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This popular text addresses the urgent need for curriculum materials that cross traditional boundaries to include many of the elements that are integrated in the teaching/learning enterprise: mathematics content, teacher understanding, student thinking, teaching methods, instructional activities, and assessment. The book pushes readers beyond the limits of their current understanding of rational numbers, challenging them to refine and explain their thinking--without falling back on rules and procedures they have relied on throughout their lives. Written in a conversational and easy to understand style, this is not a textbook as much as it is a resource book. An underlying assumption is that facilitating teacher understanding using the same questions and activities that may be used with children is one way to help teachers build the comfort and confidence they need to begin talking to children about complex ideas. Unlike a textbook that is used to study formal theory and then discarded when it comes to putting ideas into practice, the many problems and activities included to facilitate teacher learning are valuable resources for use in elementary and middle school classrooms. Changes in the second edition include: *even more student work incorporated in every chapter; *discussion of the connectivity between the topics addressed in the book and the elementary and middle school mathematics curricula; *an increased emphasis on measurement; *expansion of some topics, including number sense, percent, scale factors, similarity, and linear graphs; *clarification of the characteristics of ratio and proportions and how to use these to generate discussion with children; and *content-related interview questions for exploring children's thinking. This book is a valuable resource for researchers and curriculum developers in mathematics education, pre-service and in-service teachers of mathematics, those involved in the mathematical and pedagogical preparation of mathematics teachers, and graduate students in mathematics education. The methods and activities it includes have been tested with students in grades 3-8 and with pre-service and in-service teachers and other adults. This text is accompanied by MORE--a supplement that is not merely an answer key but a resource that includes in-depth discussions of all the problems in the text; develops and extends discussion of the issues, teaching problems, and other considerations raised in the chapters; and contains additional problems--with and without solutions--that instructors may find helpful for assessment purposes.
Download or read book Ratios and Percents written by Rebecca Wingard-Nelson and published by Enslow Publishers, Inc.. This book was released on 2008 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A step-by-step guide to the basics of ratios and fractions"--Provided by publisher.
Download or read book Elements of Arithmetic Fractions Decimals Weights and Measures Ratio and Proportion Powers and Roots Mensuration Formulas Cube Root Trigonometry and Graphs Use of Trigonometric Tables Commercial Calculations Logarithms written by and published by . This book was released on 1922 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book New National Framework Mathematics 8 Teacher Planning Pack written by M. J. Tipler and published by Nelson Thornes. This book was released on 2014-11 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Each lesson plan contains everything you will need to teach the course including Framework Objectives & Medium Term Planning references, resources needed, starter and plenary ideas and links to Homework activities. The pack also features mappings to the Framework for teaching mathematics and the Medium Term Plan, National Curriculum/Framework planning grids.
Download or read book Real Life Math written by Tom Campbell and published by Walch Publishing. This book was released on 1998 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers key middle school and high school topics in the context of everyday life scenarios. Teaches fractions, equivalent fractions, finding patterns, ratio, solving proportions, rates, and unit pricing.
Download or read book New national framework mathematics written by M. J. Tipler and published by Nelson Thornes. This book was released on 2003 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: New National Framework Mathematics features extensive teacher support materials which include dedicated resources to support each Core and Plus Book. The 7 Plus Teacher Planning Pack contains Teacher Notes for every chapter with a 'Self-contained lesson plan' for each of the units in the pupil books.
Download or read book More Teaching Fractions and Ratios for Understanding written by Susan J. Lamon and published by Routledge. This book was released on 2014-04-04 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a supplement to the text Teaching Fractions and Ratios for Understanding. It is not merely an answer key, but a resource that includes in-depth discussions of the problems in the text; develops and extends discussion of the issues, teaching problems, and other considerations raised in the chapters; and contains additional problems--with and without solutions--that instructors may find helpful for assessment purposes. In the second edition, MORE has been reorganized so that supplementary activities immediately follow the discussions of the activities from the text. Solutions to these supplemental activities have been removed to facilitate the use of MORE in courses. Nevertheless, because the number of activities in each chapter of the text has increased and complete discussions of all of them are provided in MORE, there is ample opportunity to learn reasoning methods.
Download or read book Insights in Functional Plant Ecology 2022 written by Boris Rewald and published by Frontiers Media SA. This book was released on 2023-10-27 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this special edition Research Topic is to shed light on the progress made in the past decade in the Functional Plant Eoology field, and on its future challenges to provide a thorough overview of the field. This article collection will inspire, inform and provide direction and guidance to researchers in the field.
Download or read book Sourcebook in the Mathematics of Medieval Europe and North Africa written by Victor J. Katz and published by Princeton University Press. This book was released on 2016-11-01 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Medieval Europe was a meeting place for the Christian, Jewish, and Islamic civilizations, and the fertile intellectual exchange of these cultures can be seen in the mathematical developments of the time. This sourcebook presents original Latin, Hebrew, and Arabic sources of medieval mathematics, and shows their cross-cultural influences. Most of the Hebrew and Arabic sources appear here in translation for the first time. Readers will discover key mathematical revelations, foundational texts, and sophisticated writings by Latin, Hebrew, and Arabic-speaking mathematicians, including Abner of Burgos's elegant arguments proving results on the conchoid—a curve previously unknown in medieval Europe; Levi ben Gershon’s use of mathematical induction in combinatorial proofs; Al-Mu’taman Ibn Hūd’s extensive survey of mathematics, which included proofs of Heron’s Theorem and Ceva’s Theorem; and Muhyī al-Dīn al-Maghribī’s interesting proof of Euclid’s parallel postulate. The book includes a general introduction, section introductions, footnotes, and references. The Sourcebook in the Mathematics of Medieval Europe and North Africa will be indispensable to anyone seeking out the important historical sources of premodern mathematics.
Download or read book Decimals Fractions Ratios and Percents written by Ellen Carley Frechette and published by . This book was released on 1995 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Middle School Collection Math Fractions Ratios Percents Grades 5 8 written by Steck-Vaughn and published by Steck-Vaughn Company. This book was released on 2006 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book More in depth Discussion of the Reasoning Activities in teaching Fractions and Ratios for Understanding written by Susan J. Lamon and published by Routledge. This book was released on 2005-10-01 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 1999. Routledge is an imprint of Taylor & Francis, an informa company.
Download or read book Bulletin written by American School (Chicago, Ill.) and published by . This book was released on 1911 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Host Bibliographic Record for Boundwith Item Barcode 30112100632634 and Others written by and published by . This book was released on 1903 with total page 946 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Elementary Treatise on Algebra written by James Thomson and published by . This book was released on 1845 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
