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Mathematics at the Margins

This book reports the impact a four-year longitudinal study (Representations, Oral Language and Engagement in Mathematics (RoleM)) had on teachers and students from 16 schools in disadvantaged contexts. It offers theories with regard to the interplay between teaching and learning mathematics as teachers and students in these contexts implement a mathematics program. The data are longitudinal, drawn from 154 teachers and their students (up to 1738 students) from the first four years of school (Foundation to Year 3). To ascertain the effectiveness of the RoleM Professional Learning model, teachers were interviewed three times a year and pre and post-tests were administered to students at the beginning and end of each year. Students' results indicated that all students' understanding of mathematics improved significantly, with the ESL students showing the greatest gains. Their results matched the norm-referenced expectations for all Australian students of this age. This book shares the journey of these teachers, Indigenous teacher aides and students. It outlines the dimensions of the research findings that supported teachers to become effective teachers of mathematics and assisted students in becoming successful learners of mathematics. The book also draws on the expertise of researchers from both Canada and New Zealand. They share the similarities and the differences between RoleM findings and their own contexts, in order to draw general conclusions for the effective teaching and learning of mathematics at the margins of society.

Mathematics Education

Many in the mathematics community in the U. S. are involved in mathematics education in various capacities. This book highlights the breadth of the work in K-16 mathematics education done by members of US departments of mathematical sciences. It contains contributions by mathematicians and mathematics educators who do work in areas such as teacher education, quantitative literacy, informal education, writing and communication, social justice, outreach and mentoring, tactile learning, art and mathematics, ethnomathematics, scholarship of teaching and learning, and mathematics education research. Contributors describe their work, its impact, and how it is perceived and valued. In addition, there is a chapter, co-authored by two mathematicians who have become administrators, on the challenges of supporting, evaluating, and rewarding work in mathematics education in departments of mathematical sciences. This book is intended to inform the readership of the breadth of the work and to encourage discussion of its value in the mathematical community. The writing is expository, not technical, and should be accessible and informative to a diverse audience. The primary readership includes all those in departments of mathematical sciences in two or four year colleges and universities, and their administrators, as well as graduate students. Researchers in education may also find topics of interest. Other potential readers include those doing work in mathematics education in schools of education, and teachers of secondary or middle school mathematics as well as those involved in their professional development.

Mathematics Education and Language Diversity

This book examines multiple facets of language diversity and mathematics education. It features renowned authors from around the world and explores the learning and teaching of mathematics in contexts that include multilingual classrooms, indigenous education, teacher education, blind and deaf learners, new media and tertiary education. Each chapter draws on research from two or more countries to illustrate important research findings, theoretical developments and practical strategies.

Mathematics Education and Language Diversity: The 21st ICMI Study (New ICMI Study Series #18)

*THIS BOOK WILL SOON BECOME AVAILABLE AS OPEN ACCESS BOOK*This book examines multiple facets of language diversity and mathematics education. It features renowned authors from around the world and explores the learning and teaching of mathematics in contexts that include multilingual classrooms, indigenous education, teacher education, blind and deaf learners, new media and tertiary education. Each chapter draws on research from two or more countries to illustrate important research findings, theoretical developments and practical strategies.This open access book examines multiple facets of language diversity

Mathematics Education in a Context of Inequity, Poverty and Language Diversity

This volume is dedicated to the career of Jill Adler and the role she has played in growing mathematics education research in South Africa, Africa and beyond. Her work epitomises what is referred to as the 'engaged scholar': i. e. doing rigorous and theoretically rich research at the cutting edge of international work in the field which at the same time contributes to critical areas of local and regional need in education. Jill is one of the world's leading experts in mathematics education research and her exemplary career is a continuous source of inspiration for generations of researchers and students. The chapters in this volume are authored by Jill's former PhD students, a few select colleagues from different parts of the world that she collaborated with as well as leading scholars who she worked with in PME, ICMI and in her many international assignments. In essence, this volume celebrates Jill's contribution not only to mathematics education but also to our contributions as her friends and colleagues. Topics covered include language and mathematics, teacher education, and the dilemma of an activist researcher engaging in issues that matter hugely to the participants in the research, students and teachers in post-apartheid schooling, whilst also setting up the separation that is needed for good research.

Mathematics Education in East Africa

This book is a valuable resource for policymakers andpractitioners as it brings insights mainly from developing countries whererelatively less research activity takes place. It is also a valuableresource for courses in mathematics education in the teacher education colleges,and departments of education in the sub-Saharan Africa region. In theincreasingly global and technological world mathematics is seen as asignificant gatekeeper of opportunities for social and economic advancement andmobility. Hence, countries and development agencies in the broader sub-SaharanAfrica region are looking towards increasing access to relevant andhigh-quality secondary education as a lever towards economic development. Policy makers and other key decision makers in education look towardsimprovement in mathematics teaching and learning as a key focus in educationreform. In the East Africa region also a number of initiatives have been takenat the national level in the respective countries to improve the quality ofmathematics education. This book provides an in-depth comparative analysisof the developments and issues in mathematics education in Kenya, Tanzania,Rwanda and Uganda, and advances our understanding of the state of secondarymathematics education in East Africa.

Mathematics Education in East Africa: Towards Harmonization and Enhancement of Education Quality (SpringerBriefs in Education)

This Open Access book is a valuable resource for policymakers and practitioners as it brings insights mainly from developing countries where relatively less research activity takes place. It is also a valuable resource for courses in mathematics education in the teacher education colleges, and departments of education in the sub-Saharan Africa region. In the increasingly global and technological world mathematics is seen as a significant gatekeeper of opportunities for social and economic advancement and mobility. Hence, countries and development agencies in the broader sub-Saharan Africa region are looking towards increasing access to relevant and high-quality secondary education as a lever towards economic development. Policy makers and other key decision makers in education look towards improvement in mathematics teaching and learning as a key focus in education reform. In the East Africa region also a number of initiatives have been taken at the national level in the respective countries to improve the quality of mathematics education. This book provides an in-depth comparative analysis of the developments and issues in mathematics education in Kenya, Tanzania, Rwanda and Uganda, and advances our understanding of the state of secondary mathematics education in East Africa.

Mathematics Education in the Early Years

This book presents chapters based onpapers presented at the second POEM conference on early mathematics learning. Thesechapters broaden the discussion about mathematics education in early childhood,by exploring the debate about construction versus instruction. Specific sectionsinvestigate the teaching and learning of mathematical processes and mathematicalcontent, early childhood teacher development, transitions for young children betweenhome and preschool, between home and school and between preschool and school. Thechapters use a range of innovative theoretical and methodological approaches whichwill form an interesting basis for future research in this area.

Mathematics for Elementary School Teachers

It offers future teachers a comprehensive mathematics course designed to foster concept development through examples, investigations, and explorations. Visual icons throughout the main text allow instructors to easily connect content to the hands-on activities in the corresponding Explorations Manual.

Mathematics For Elementary Teachers: An Activity Approach

The primary purpose of Mathematics for Elementary Teachers: An Activity Approach is to engage prospective elementary and middle-school teachers in mathematical activities that will enhance their conceptual knowledge, introduce them to important manipulatives, and model the kind of mathematical learning experiences they will be expected to provide for their students. The activities incorporate inductive thinking and the use of physical models and visual images to develop concepts and encourage higher-level reasoning. <P><P> The Activity Approach can be packaged with Activity Sets that correspond to each section of the text and augment the ideas presented in the sections. Each Activity Set consists of a sequence of inductive activities and experiments that enable the student to build an understanding of mathematical ideas through the use of models and the discovery of patterns. In addition, over thirty Material Cards are included that complement the color cardstock materials in the Manipulative Kit. A section on Ideas for the Elementary Classroom at the end of each chapter includes a suggested Elementary-School Activity that has been adapted from one of the chapter's Activity Sets. <P><P> Additionally, a companion text, Mathematics for Elementary Teachers: A Conceptual Approach, is also available from the Bennett, Burton, and Nelson team. Mathematics for Elementary Teachers: A Conceptual Approach can be used independently or along with Mathematics for Elementary Teachers: An Activity Approach.

Mathematics for Modeling and Scientific Computing

This book provides the mathematical basis for investigating numerically equations from physics, life sciences or engineering. Tools for analysis and algorithms are confronted to a large set of relevant examples that show the difficulties and the limitations of the most naïve approaches. These examples not only provide the opportunity to put into practice mathematical statements, but modeling issues are also addressed in detail, through the mathematical perspective.

Mathematics for Natural Scientists

This book covers a course of mathematics designed primarily for physics and engineering students. It includes all the essential material on mathematical methods, presented in a form accessible to physics students, avoiding precise mathematical jargon and proofs which are comprehensible only to mathematicians. Instead, all proofs are given in a form that is clear and convincing enough for a physicist. Examples, where appropriate, are given from physics contexts. Both solved and unsolved problems are provided in each section of the book. Mathematics for Natural Scientists: Fundamentals and Basics is the first of two volumes. Advanced topics and their applications in physics are covered in the second volume.

Mathematics for Natural Scientists II

This book covers the advanced mathematical techniques useful for physics and engineering students, presented in a form accessible to physics students, avoiding precise mathematical jargon and laborious proofs. Instead, all proofs are given in a simplified form that is clear and convincing for a physicist. Examples, where appropriate, are given from physics contexts. Both solved and unsolved problems are provided in each chapter. Mathematics for Natural Scientists II: Advanced Methods is the second of two volumes. It follows the first volume on Fundamentals and Basics.

Mathematics Formulas (Fourth Edition)

The value of r is between -1 (a perfect negative correlation) and +1 (a perfect positive correlation). When r is close or near 0, there is no linear correlation, Nota: The numerator for r is the same as that for m in equation (3), The denominator is also very similar to that for m.

Mathematics in Ancient Egypt

Mathematics in Ancient Egypt traces the development of Egyptian mathematics, from the end of the fourth millennium BC--and the earliest hints of writing and number notation--to the end of the pharaonic period in Greco-Roman times. Drawing from mathematical texts, architectural drawings, administrative documents, and other sources, Annette Imhausen surveys three thousand years of Egyptian history to present an integrated picture of theoretical mathematics in relation to the daily practices of Egyptian life and social structures.Imhausen shows that from the earliest beginnings, pharaonic civilization used numerical techniques to efficiently control and use their material resources and labor. Even during the Old Kingdom, a variety of metrological systems had already been devised. By the Middle Kingdom, procedures had been established to teach mathematical techniques to scribes in order to make them proficient administrators for their king. Imhausen looks at counterparts to the notation of zero, suggests an explanation for the evolution of unit fractions, and analyzes concepts of arithmetic techniques. She draws connections and comparisons to Mesopotamian mathematics, examines which individuals in Egyptian society held mathematical knowledge, and considers which scribes were trained in mathematical ideas and why. Of interest to historians of mathematics, mathematicians, Egyptologists, and all those curious about Egyptian culture, Mathematics in Ancient Egypt sheds new light on a civilization's unique mathematical evolution.

Mathematics in Everyday Life

How does mathematics impact everyday events? The purpose of this book is to show a range of examples where mathematics can be seen at work in everyday life. From money (APR, mortgage repayments,personal finance), simple first and second order ODEs, sport and games (tennis,rugby, athletics, darts, tournament design, soccer, snooker), business (stockcontrol, linear programming, check digits, promotion policies, investment), thesocial sciences (voting methods, Simpson's Paradox, drug testing, measurementsof inequality) to TV game shows and even gambling (lotteries, roulette, poker, horseracing), the mathematics behind commonplace events is explored. Fully worked examples illustrate the ideas discussed and each chapterends with a collection of exercises. Everyday Mathematics supports other first year modules by giving students extra practice in working with calculus, linear algebra, geometry, trigonometry and probability. Secondary/high school level mathematics is all that is required for students to understand the material. Those students whose degree course includes writing an extendedmathematical essay will find many suitable topics here, with pointers to extendand develop the material.

Mathematics Instruction (Ready Common Core #4)

The Mathematics of Various Entertaining Subjects

The history of mathematics is filled with major breakthroughs resulting from solutions to recreational problems. Problems of interest to gamblers led to the modern theory of probability, for example, and surreal numbers were inspired by the game of Go. Yet even with such groundbreaking findings and a wealth of popular-level books exploring puzzles and brainteasers, research in recreational mathematics has often been neglected. The Mathematics of Various Entertaining Subjects brings together authors from a variety of specialties to present fascinating problems and solutions in recreational mathematics.Contributors to the book show how sophisticated mathematics can help construct mazes that look like famous people, how the analysis of crossword puzzles has much in common with understanding epidemics, and how the theory of electrical circuits is useful in understanding the classic Towers of Hanoi puzzle. The card game SET is related to the theory of error-correcting codes, and simple tic-tac-toe takes on a new life when played on an affine plane. Inspirations for the book's wealth of problems include board games, card tricks, fake coins, flexagons, pencil puzzles, poker, and so much more.Looking at a plethora of eclectic games and puzzles, The Mathematics of Various Entertaining Subjects is sure to entertain, challenge, and inspire academic mathematicians and avid math enthusiasts alike.

Mathematics Old and New

This introductory treatment provides insightful expositions of specific applications as well as elements of mathematical history and culture. The in-depth coverage of key mathematical topics is presented in clear terms and at an informal level that relates classic concepts to readers' everyday lives. Some knowledge of high school algebra would be useful for a full appreciation of the book, which is suitable for advanced high school students and college undergraduates in all fields as well as readers with an interest in mathematics and its history. The first five chapters, as published in the book's first edition, deal somewhat unconventionally with probability, statistics, voting systems, game theory, and linear programming. This new edition adds chapters on geometry in two and three dimensions, Egyptian arithmetic, the evolution of the normal distribution, and other subjects. Readers are certain to acquire a heightened awareness of many aspects of contemporary mathematics and its subject matter, relevant applications, and history.

Mathematics Part 1 Class 12 NCERT

NCERT designed the new syllabi and constituted Textbook Development Teams for Classes XI and XII to prepare textbooks in mathematics under the new guidelines and new syllabi.

Mathematics Part 1 class 5 - Kerala Board

Mathematics text book, class V, SCERT Kerala syllabus, english medium. It covers the chapters - Number World, When Lines Join, Equal Sharing, Circles and Part Number.

Mathematics Part 2 class 5 - Kerala Board

Mathematics text book, class V, SCERT Kerala syllabus, english medium. It covers the chapters - Area, Inside Numbers, Joining Parts and Let's Read Pictures.

Mathematics Part 2 class 8 - S.C.E.R.T. - Kerala Board

Mathematics Part 2 textbook for 8th standard from State Council of Educational Research and Training (S.C.E.R.T.) Kerala in English.

Mathematik für Naturwissenschaftler für Dummies (Für Dummies)

Alle Naturwissenschaftler benötigen sie, kaum einer mag sie: die Mathematik. Aber Mathematik muss nicht dröge und schwer verständlich sein, manchmal kann sie sogar ein bisschen Spaß machen. Thoralf Räsch vermittelt Ihnen die Grundlagen, die alle Naturwissenschaftler benötigen: Algebra, Analysis, Differentiation, Integration, Lineare Algebra, Statistik und Wahrscheinlichkeitsrechnung. Anhand vieler Tipps und Praxisbeispiele lernen Sie, wie die erworbenen Kenntnisse in den Naturwissenschaften angewendet werden. Dieses Buch richtet sich an Studierende aller Naturwissenschaften - sowohl zum Lernen als auch zum Nachschlagen.

Mathematische Statistik

"Mathematische Statistik" hat wegen des großen Anwendungsbedarfes stetig an Attraktivität gewonnen - und auch theoretisch sind neue Ansätze entwickelt worden. Ein besonderer Schwerpunkt liegt auf der Versuchsplanung, die häufig gegenüber der Auswertung vernachlässigt wird. Unter konsequenter Berücksichtigung der Entwicklungen der letzten Jahrzehnte ist ein neues Buch entstanden. Kenntnisse in der Maßtheorie und der Wahrscheinlichkeitsrechnung sind hilfreich, aber nicht notwendig, da die Autoren die Materie leicht verständlich beschrieben haben. Ein Schwerpunkt liegt auf der Versuchsplanung, die zu oft vernachlässigt wird und oft neben der Auswertung benachteiligt ist. Konsequenterweise nimmt in diesem Buch die Planung des Stichprobenumfangs und die Beschreibung von Versuchsanlagen einen großen Raum ein - immer eingebettet in die passenden Auswertungsverfahren wie die Varianz- und Regressionsanalyse. Ein Muss für alle Natur- und Ingenieurwissenschaftler, die empirisch arbeiten und daneben auch an der Begründung der Methoden interessiert sind.