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Growing out of a course in the history of mathematics given to school teachers,the present book covers a number of topics of elementary mathematics from both the mathematical and historical perspectives.Included are topics from geometry (π, Napoleon's Theorem, trigonometry),recreational mathematics (the Pell equation, Fibonacci numbers), and computational mathematics (finding square roots, mathematical tables). Although written with the needs of the mathematics teacher in mind, the book can be read profitably by any high school graduate with a liking for mathematics.
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Engage students in mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the fourth-grade level through visualization, play, and investigation. During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message—that they want to incorporate more brain science into their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to improve student test scores, and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in Mindset Mathematics reflect the lessons from brain science that: There is no such thing as a math person – anyone can learn mathematics to high levels. Mistakes, struggle and challenge are the most important times for brain growth. Speed is unimportant in mathematics. Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics. With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections within the Common Core State Standards (CCSS) and can be used with any current curriculum.
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Engage students in mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the third-grade level through visualization, play, and investigation. During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message—that they want to incorporate more brain science into their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to improve student test scores, and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in Mindset Mathematics reflect the lessons from brain science that: There is no such thing as a math person – anyone can learn mathematics to high levels. Mistakes, struggle and challenge are the most important times for brain growth. Speed is unimportant in mathematics. Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics. With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections within the Common Core State Standards (CCSS) and can be used with any current curriculum.
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Engage students in mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the sixth-grade level through visualization, play, and investigation. During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message—that they want to incorporate more brain science into their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to improve student test scores, and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in Mindset Mathematics reflect the lessons from brain science that: There is no such thing as a math person – anyone can learn mathematics to high levels. Mistakes, struggle and challenge are the most important times for brain growth. Speed is unimportant in mathematics. Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics. With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections within the Common Core State Standards (CCSS) and can be used with any current curriculum.
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Harmonia, “harmonies,” analyzes the connections between glitch art, visual music, abstraction, and motion pictures. It is a theory and a critique of visual music.This collection is a chronological survey of artistic research into, around, and with digital motion pictures. The result unveils a theory of both visual music and abstraction, one that is directly connected to a critical engagement with the socio-cultural meaning of “visionary art” that builds on the work of Umberto Eco and Michel Foucault to engage with the historical films of John Whitney, Mary Ellen Bute, Mark Hallock-Greenewalt, and Stan Brakhage. Included are the essays “The Aura of the Digital,” “The Invention of Glitch Video,” and “Welcome to Cyberia” along with many other talks, publications, and analyses of glitch art and visual music, surveying glitch art pioneer Michael Betancourt’s critical/theoretical engagements with these art forms.
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Mathematics is a fine art, like painting, sculpture, or music. This book teaches the art of solving challenging mathematics problems. Part I presents a general process for solving problems. Part II contains 35 difficult and challenging mathematics problems with complete solutions. The goal is to teach the reader how to proceed from an initial state of "panic and fear" to finding a beautiful and elegant solution to a problem.
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A Companion to Contemporary Art is a major survey covering the major works and movements, the most important theoretical developments, and the historical, social, political, and aesthetic issues in contemporary art since 1945, primarily in the Euro-American context. Collects 27 original essays by expert scholars describing the current state of scholarship in art history and visual studies, and pointing to future directions in the field. Contains dual chronological and thematic coverage of the major themes in the art of our time: politics, culture wars, public space, diaspora, the artist, identity politics, the body, and visual culture. Offers synthetic analysis, as well as new approaches to, debates central to the visual arts since 1945 such as those addressing formalism, the avant-garde, the role of the artist, technology and art, and the society of the spectacle.
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This study explores the state of art education in Turkey as revealed by pre-service art education university instructors, and the potential of incorporating visual culture studies in pre-service art education in Turkey. The instructors' ideas about visual culture and its impact on art education, its contents (objects), and its practices within the context of Turkey are examined, with a focus on a pedagogical approach that emphasizes the perception and critique of popular culture and everyday cultural experiences, and the analysis of media including television programs, computer games, the internet, and advertisements. The aim of the study is to benefit pre-service art teacher education in Turkey and in general. It provides the rationale, the nature and pedagogy of visual culture, and provides insights into the potential contribution of the concept of visual culture to the understanding of art and improvement of art teacher training.
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The book is based on the recently held Symposium on mathematics and its connections to the artsand sciences, namely the second Mathematics and its Connections to the Arts and Sciences(MACAS2)Symposium in Odense, Denmark (May 29-31, 2007). The chapters are an eclectic collectionof interdisciplinary research initiatives undertaken by mathematics educators with implicationsfor practitioners concerned with teaching and learning processes. The papers cover a widegenre of research domains within mathematics education (cognition, modelling, problem solving,teacher education, ethnomathematics, mathematical/statistical literacy, curricular and technologicalinitiatives and research related to science education). The major interdisciplinary themes of thepapers in this book are:1. How can modelling activities be used to foster interdisciplinary projects in the school and university setting?2. How can the intricate connections between mathematics and physics be used to design and researchinterdisciplinary activities in schools and the university?3. How can research within the ethnomathematics domain of mathematics education be linked to criticalmathematics education and interdisciplinary projects involving mathematics, art and culture?4. How can the push for mathematical and statistical literacy be connected to other subjects in the schoolcurricula and emphasized via interdisciplinary activities?5. What are concrete examples of classroom experiments with empirical data that demonstrate ne...
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A traditional self-portrait in visual art is popularly understood as a singular image - usually a painting, photograph, drawing or other similar graphic medium - where the artist is also the subject.This text expands this view by considering the self as changeable, constantly in flux, and therefore impossible to capture in just one image. Exploring the possibilities of representing identity, this book focuses on the writing of Gilles Deleuze and Felix Guattari, allowing for an understanding of identity that acknowledges the movement and change of the self and allows an art-work to represent identity as a constantly changing form. With an emphasis on narrative-based self-representation, this text explores the construction of identity and possibilities of representing the self through autobiography and visual art.
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This monograph marks a major step in the growth of the Association of Mathematics Teacher Educators (AMTE) as the leading organization for mathematics teacher educators. It is an effort by AMTE to provide further support for the work of mathematics teacher educators throughout the United States. It is hoped that readers will find this monograph to be useful in their day-to-day work with mathematics teachers. Learning to be a mathematics teacher is a life-long process, but so is learning to be a mathematics teacher educator. Just as mathematics teachers need opportunities for professional growth, so do mathematics teacher educators. Publications such as this monograph can serve an important role in the professional development of mathematics teacher educators.
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Presents a clear bridge between mathematics and the liberal arts Mathematics for the Liberal Arts provides a comprehensible and precise introduction to modern mathematics intertwined with the history of mathematical discoveries. The book discusses mathematical ideas in the context of the unfolding story of human thought and highlights the application of mathematics in everyday life. Divided into two parts, Mathematics for the Liberal Arts first traces the history of mathematics from the ancient world to the Middle Ages, then moves on to the Renaissance and finishes with the development of modern mathematics. In the second part, the book explores major topics of calculus and number theory, including problem-solving techniques and real-world applications. This book emphasizes learning through doing, presents a practical approach, and features: A detailed explanation of why mathematical principles are true and how the mathematical processes work Numerous figures and diagrams as well as hundreds of worked examples and exercises, aiding readers to further visualize the presented concepts Various real-world practical applications of mathematics, including error-correcting codes and the space shuttle program Vignette biographies of renowned mathematicians Appendices with solutions to selected exercises and suggestions for further reading Mathematics for the Liberal Arts is an excellent introduction to the history and concepts of mathematics for undergraduate liberal arts students and readers in non-scientific fields wishing to gain a better understanding of mathematics and mathematical problem-solving skills.
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Mind Over Metal is a philosophical and spiritual approach to musical mastery for the aspiring musician. As the first book in The Mystic Art of Self-Discovery series, Mind Over Metal offers deep insights for anyone who wants to unleash their primal essence and achieve mastery in the complex art of music. Derived from the metaphysical beliefs and traditions of Eastern Philosophies, Spiritualism, Shamanism, and the Healing Arts, Mind Over Metal has been crafted in a fashion that will awaken your mind to a deeper understanding of sound and vibrations and how they can be harnessed to transform your musical expression. Whether you are a novice, a pro or even just someone who is passionate about music, Mind Over Metal offers you timeless wisdom that is sure to open your mind and expand your creative vision!
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A volume in the series The Montana Mathematics Enthusiast: Monograph Seriesin Mathematics Education. Series Editor: Bharath Sriraman, The University of MontanaThe teaching and learning of mathematics in Alberta - one of three Canadian provinces sharing aborder with Montana - has a long and storied history. An integral part of the past 50 years (1962-2012) of this history has been delta-K: Journal of the Mathematics Council of the AlbertaTeachers' Association. This volume, which presents ten memorable articles from each of the pastfive decades, that is, 50 articles from the past 50 years of the journal, provides an opportunity toshare this rich history with a wide range of individuals interested in the teaching and learning of mathematics and mathematicseducation. Each decade begins with an introduction, providing a historical context, and concludes with a commentary from a prominentmember of the Alberta mathematics education community. As a result, this monograph provides a historical account as well as acontemporary view of many of the trends and issues in the teaching and learning of mathematics. This volume is meant to serve as aresource for a variety of individuals, including teachers of mathematics, mathematics teacher educators, mathematics educationresearchers, historians, and undergraduate and graduate students. Most importantly, this volume is a celebratory retrospective on thework of the Mathematics Council of the Alberta Teachers' Association.
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Essays from biblical scholars and art historians provide resources for understanding the relation of texts to artistic paintings and images. Additionally, contributors offer resources for understanding language that prompts mental picturing and visual objects that prompt mental imaging and meditation. Readers will master the tools necessary for integrating multiple approaches both to biblical and artistic interpretation.
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A volume in The Montana Mathematics Enthusiast: Monograph Series in Mathematics EducationThe teaching and learning of mathematics in British Columbia has a long and storied history. An integral part of the past 50 years (1962-2012) of this history has been Vector: Journal of the British Columbia Association of Mathematics Teachers. This volume, which presents ten memorable articles from each of the past five decades, that is, 50 articles from the past 50 years of the journal, provides an opportunity to share this rich history with a wide range of individuals interested in the teaching and learning of mathematics and mathematics education. Each decade begins with an introduction, providing a historical context, and concludes with a commentary from a prominent member of the British Columbia mathematics education community. As a result, this monograph provides a historical ac-count as well as a contemporary view of many of the trends and issues in the teaching and learning of mathematics. This volume is meant to serve as a re-source for a variety of individuals including: teachers of mathematics, mathematics teacher educators, mathematics education researchers, historians, and undergraduate and graduate students. Most importantly, this volume is a celebratory retrospective on the work of the British Columbia Association of Mathe-matics Teachers.
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Document from the year 2014 in the subject Mathematics - Applied Mathematics, grade: 13, , course: B.Tech, Semester-II, language: English, abstract: Its applied mathematics notes for B.Tech students of Second Semester of Indian Universities.Strictly according to the syllabus of P.T.U (Jalandhar)
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An easy-to-read presentation of the early history of mathematics Engaging and accessible, An Introduction to the Early Development of Mathematics provides a captivating introduction to the history of ancient mathematics in early civilizations for a nontechnical audience. Written with practical applications in a variety of areas, the book utilizes the historical context of mathematics as a pedagogical tool to assist readers working through mathematical and historical topics. The book is divided into sections on significant early civilizations including Egypt, Babylonia, China, Greece, India, and the Islamic world. Beginning each chapter with a general historical overview of the civilized area, the author highlights the civilization’s mathematical techniques, number representations, accomplishments, challenges, and contributions to the mathematical world. Thoroughly class-tested, An Introduction to the Early Development of Mathematics features: Challenging exercises that lead readers to a deeper understanding of mathematics Numerous relevant examples and problem sets with detailed explanations of the processes and solutions at the end of each chapter Additional references on specific topics and keywords from history, archeology, religion, culture, and mathematics Examples of practical applications with step-by-step explanations of the mathematical concepts and equations through the lens of early mathematical problems A companion website that includes additional exercises An Introduction to the Early Development of Mathematics is an ideal textbook for undergraduate courses on the history of mathematics and a supplement for elementary and secondary education majors. The book is also an appropriate reference for professional and trade audiences interested in the history of mathematics. Michael K. J. Goodman is Adjunct Mathematics Instructor at Westchester Community College, where he teaches courses in the history of mathematics, contemporary mathematics, and algebra. He is also the owner and operator of The Learning Miracle, LLC, which provides academic tutoring and test preparation for both college and high school students.
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As the curious mind will attest, it is an ethereal thrill to discover, revere, and regale the sinuous, striking feminine form, celebrated here in a stunning visual...
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Unlock your brain's potential using mind mapping Mind mapping is a popular technique that can be applied in a variety of situations and settings. Students can make sense of complex topics and structure their revision with mind mapping; business people can manage projects and collaborate with colleagues using mind maps, and any creative process can be supported by using a mind map to explore ideas and build upon them. Mind maps allow for greater creativity when recording ideas and information whatever the topic, and enable the note-taker to associate words with visual representations. Mind Mapping For Dummies explains how mind mapping works, why it's so successful, and the many ways it can be used. It takes you through the wide range of approaches to mind mapping, looks at the available mind mapping software options, and investigates advanced mind mapping techniques for a range of purposes, including studying for exams, improving memory, project management, and maximizing creativity. Suitable for students of all ages and study levels An excellent resource for people working on creative projects who wish to use mind mapping to develop their ideas Shows businesspeople how to maximize their efficiency, manage projects, and brainstorm effectively If you're a student, artist, writer, or businessperson, Mind Mapping For Dummies shows you how to unlock your brain's potential.
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VOLUME 2 (M to Z) 'Easy as you Go' was originally intended to be solely a support for the learning of Mathematics. However it has blossomed into something more than just that. The two volumes are packed with a total of 950 pages of mathematics, covering no less than 230 topics and containing a multitude of worked examples, equations and formulas, graphs and charts, tables, diagrams and illustrations.Together, the two volumes address all the significant issues encountered in First School, Secondary School and in Advanced studies, along with a plethora of anecdotal topics to capture the reader's imagination, and titivate their perhaps otherwise sanguine attitude towards Mathematics. 'Easy as you Go' is ideally suited to student, educator and parent alike because of its simplistic, down-to-earth and visual approach.
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This book examines visual data use with students (PK-16) as well as in pre-service in- service scienceteacher preparation. Each chapter includes discussion about the current state of the art with respect toscience classroom application and utilization of the particular visual data targeted by the author(s),discussion and explanation about the targeted visual data as applied by the author in his/her classroom, useof visual data as a diagnostic tool, its use as an assessment tool, and discussion of implications for scienceteaching and/or science teacher preparation.Although the body of research and practice in this field is growing, there remains a gap in the literatureabout clearly explicating the use of visual data in the science classroom. A growing body of literaturediscusses what visual data are (although this topic is still viewed as being at the beginning of itsdevelopment in educators' thinking), and there are some scattered examples of studies exploring the use ofvisual data in science classrooms, although those studies have not necessarily clearly identified their foci asvisual data, per se. As interest and attention has become more focused on visual data, a logical progressionof questioning has been how visual data are actually applied in the science classroom, whether it be early elementary, college, or somewhere inbetween. Visual data applications of interest to the science education community include how it is identified, how it can be used with students and h...
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“A noteworthy feature of the book is that eleven of the chapter authors work in mainland China … The edited collection is a significant contribution to the research literature and provides an important resource in the field.” Research in Mathematics Education “In a context of revolving reforms of the mathematical curricula in the West, the research presented in How Chinese Learn Mathematics certainly gives a lot of food for thought about effectively combining a problem-oriented approach to basic mathematical knowledge and skills with a conceptual and abstract representation of mathematical objects.”EASTM “The book copes with the issue of mathematics education in a culturally attentive way and offer hints to reconsider policies on mathematics education in the Western world. Hence, it should be present in the library of each education department.”EMS Newsletter The book has been written by an international group of very active researchers and scholars who have a passion for the study of Chinese mathematics education. It aims to provide readers with a comprehensive and updated picture of the teaching and learning of mathematics involving Chinese students from various perspectives, including the ways in which Chinese students learn mathematics in classrooms, schools and homes, the influence of the cultural and social environment on Chinese students' mathematics learning, and the strengths and weaknesses of the ways in which Chinese learn mathematics. Furthermore, based on the...
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'Easy as you Go' was originally intended to be solely a support for the learning of Mathematics. However it has evolved into something more than just that. The two volumes are packed with a total of 950 pages of mathematics, covering no less than 230 topics and containing a multitude of worked examples, equations and formulas, graphs and charts, tables, diagrams and illustrations. Together, the two volumes address all the significant issues encountered in First School, Secondary School and in Advanced studies, along with a plethora of anecdotal topics to capture the reader's imagination, and titivate their perhaps otherwise sanguine attitude towards Mathematics. 'Easy as you Go' is ideally suited to student, educator and parent alike because of its simplistic, down-to-earth and visual approach.
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VOLUME 1 (A to L)'Easy as you Go' was originally intended to be solely a support for the learning of Mathematics. However it has blossomed into something more than just that. The two volumes are packed with a total of 950 pages of mathematics, covering no less than 230 topics and containing a multitude of worked examples, equations and formulas, graphs and charts, tables, diagrams and illustrations. Together, the two volumes address all the significant issues encountered in First School, Secondary School and in Advanced studies, along with a plethora of anecdotal topics to capture the reader's imagination, and titivate their perhaps otherwise sanguine attitude towards Mathematics. 'Easy as you Go' is ideally suited to student, educator and parent alike because of its simplistic, down-to-earth and visual approach.
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A volume in Cognition, Equity, & Society: International PerspectivesSeries Editors: Bharath Sriraman, University of Montanaand Lyn English, Queensland University of TechnologyMathematics is traditionally seen as the most neutral of disciplines, the furthest removed from the argumentsand controversy of politics and social life. However, critical mathematics challenges these assumptions andactively attacks the idea that mathematics is pure, objective, and value‐neutral. It argues that history, society,and politics have shaped mathematics-not only through its applications and uses but also through molding its concepts, methods, and evenmathematical truth and proof, the very means of establishing truth. Critical mathematics education also attacks the neutrality of the teaching andlearning of mathematics, showing how these are value‐laden activities indissolubly linked to social and political life. Instead, it argues that the valuesof openness, dialogicality, criticality towards received opinion, empowerment of the learner, and social/political engagement and citizenship arenecessary dimensions of the teaching and learning of mathematics, if it is to contribute towards democracy and social justice.This book draws together critical theoretic contributions on mathematics and mathematics education from leading researchers in the field.Recurring themes include: The natures of mathematics and critical mathematics education, issues of epistemology and ethics; Ideology, thehegemony o...
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Video Art Theory: A Comparative Approach demonstrates how video art functions on the basis of a comparative media approach, providing a crucial understanding of video as a medium in contemporary art and of the visual mediations we encounter in daily life. A critical investigation of the visual media and selected video artworks which contributes to the understanding of video as a medium in contemporary art The only study specifically devoted to theorizing the medium of video from the perspective of prominent characteristics which result from how video works deal with time, space, representation, and narrative The text has emerged out of the author’s own lectures and seminars on video art Offers a comparative approach which students find especially useful, offering new perspectives
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A Volume in The Montana Mathematics Enthusiast:Monograph Series in Mathematics EducationSeries Editor Bharath Sriraman, The University of MontanaThe word "critical" in the title of this collection has three meanings, all of which are relevant. One meaning, as applied toa situation or problem, is "at a point of crisis". A second meaning is "expressing adverse or disapproving comments orjudgments". A third is related to the verb "to critique", meaning "to analyze the merits and faults of". The authorscontributing to this book pose challenging questions, from multiple perspectives, about the roles of mathematics insociety and the implications for education. Traditional reasons for teaching mathematics include: preparing a newgeneration of mathematics researchers and a cadre of technically competent users of mathematics; training students tothink logically; and because mathematics is as much part of cultural heritage as literature or music. These reasons remainvalid, though open to critique, but a deeper analysis is required that recognizes the roles of mathematics in framing manyaspects of contemporary society, that will connect mathematics education to the lived experiences of students, theircommunities, and society in general, and that acknowledges the global ethical responsibilities of mathematicians andmathematics educators.The book is organized in four sections (1) Mathematics education: For what and why?(2) Globalization and cultural...
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Mathematics research papers provide a forum for all mathematics enthusiasts to exercise their mathematical experience, expertise and excitement. The research paper process epitomizes the differentiation of instruction, as each student chooses their own topic and extends it as far as their desire takes them. The features and benefits of the research paper process offer a natural alignment with all eight Common Core State Standards for Mathematical Practice.Writing Math Research Papers serves both as a text for students and as a resource for instructors and administrators. It systematically describes the steps involved in creating a mathematics research paper and an oral presentation. The chapters offer tips on technical writing, formatting, and preparing visual aids. For instructors and administrators, the book covers the logistics necessary in setting up a mathematics research program in a high school setting. This program received the1997 Chevron Best Practices in Education Award as the premier high school mathematics course in the United States.
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From rainbows, river meanders, and shadows to spider webs, honeycombs, and the markings on animal coats, the visible world is full of patterns that can be described mathematically. Examining such readily observable phenomena, this book introduces readers to the beauty of nature as revealed by mathematics and the beauty of mathematics as revealed in nature. Generously illustrated, written in an informal style, and replete with examples from everyday life, Mathematics in Nature is an excellent and undaunting introduction to the ideas and methods of mathematical modeling. It illustrates how mathematics can be used to formulate and solve puzzles observed in nature and to interpret the solutions. In the process, it teaches such topics as the art of estimation and the effects of scale, particularly what happens as things get bigger. Readers will develop an understanding of the symbiosis that exists between basic scientific principles and their mathematical expressions as well as a deeper appreciation for such natural phenomena as cloud formations, halos and glories, tree heights and leaf patterns, butterfly and moth wings, and even puddles and mud cracks. Developed out of a university course, this book makes an ideal supplemental text for courses in applied mathematics and mathematical modeling. It will also appeal to mathematics educators and enthusiasts at all levels, and is designed so that it can be dipped into at leisure.
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Doctoral Thesis / Dissertation from the year 2010 in the subject Sociology - Knowledge and Information, grade: A, Atlantic International University (School of Social and Human Studies), course: Doctorate in Education, language: English, abstract: The primary purpose of this research was to investigate the effects of individual student affective factors and educational background on mathematics achievement among higher education students as measured by semester grades in the core mathematics courses. Student Locus of Control, Self-Efficacy, and Mathematics Anxiety were the specific individual student affective factors that were examined in the study. Educational backgrounds of the students were examined as an attempt to explain the differences in mathematics performance at the higher education level. To achieve this, high school teacher characteristics and instructional practices in influencing students' affective factors were examined. All of the analyses presented were performed on data collected for the study from two institutions of higher education in Cameroon for the student participants and from high school mathematics teachers of the English-Speaking and the French-Speaking subsystems of education. The results of the study show that student internal locus of control, high mathematics self-efficacy, and Mathematics Anxiety were associated with performance in mathematics at the higher education level. The results also revealed a high significant difference in the per...
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Praise for the Second Edition «An amazing assemblage of worldwide contributions in mathematics and, in addition to use as a course book, a valuable resource . . . essential.» —CHOICE This Third Edition of The History of Mathematics examines the elementary arithmetic, geometry, and algebra of numerous cultures, tracing their usage from Mesopotamia, Egypt, Greece, India, China, and Japan all the way to Europe during the Medieval and Renaissance periods where calculus was developed. Aimed primarily at undergraduate students studying the history of mathematics for science, engineering, and secondary education, the book focuses on three main ideas: the facts of who, what, when, and where major advances in mathematics took place; the type of mathematics involved at the time; and the integration of this information into a coherent picture of the development of mathematics. In addition, the book features carefully designed problems that guide readers to a fuller understanding of the relevant mathematics and its social and historical context. Chapter-end exercises, numerous photographs, and a listing of related websites are also included for readers who wish to pursue a specialized topic in more depth. Additional features of The History of Mathematics, Third Edition include: Material arranged in a chronological and cultural context Specific parts of the history of mathematics presented as individual lessons New and revised exercises ranging between technical, factual, and integrative Individual PowerPoint presentations for each chapter and a bank of homework and test questions (in addition to the exercises in the book) An emphasis on geography, culture, and mathematics In addition to being an ideal coursebook for undergraduate students, the book also serves as a fascinating reference for mathematically inclined individuals who are interested in learning about the history of mathematics.
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In quick brush strokes and near staccato stanzas, Cameron deftly redefines the relationship between visual art and the viewers heart.
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The mathematics curriculum - what mathematics is taught, to whom it is taught, and when it is taught - is the bedrock to understanding what mathematics students can, could, and should learn. Today's digital technology influences the mathematics curriculum in two quite different ways. One influence is on the delivery of mathematics through hardware such as desktops, laptops, and tablets. Another influence is on the doing of mathematics using software available on this hardware, but also available on the internet, calculators, or smart phones.These developments, rapidly increasing in their availability and decreasing in their cost, raise fundamental questions regarding a mathematics curriculum that has traditionally been focused on paper-and-pencil work and taught in many places as a set of rules to be practiced and learned.This volume presents the talks given at a conference held in 2014 at the University of Chicago, sponsored by the Center for the Study of Mathematics Curriculum. The speakers - experts from around the world and inside the USA - were asked to discuss one or more of the following topics:• changes in the nature and creation of curricular materials available to students• transformations in how students learn and how they demonstrate their learning• rethinking the role of the teacher and how students and teachers interact within a classroom and across distances from each otherThe result is a set of articles that are interesting and captivating, and challenge u...
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The Fractal Brain Theory, or the Symmetry, Self Similarity and Recursivity Theory of Brain and Mind, is a Revolutionary new way of looking at the nature of intelligence and also genomics. It is the key to a powerful and new kind of Recursively Self Modifying Artificial Intelligence.Wai H. Tsang presents an exciting new synthesis of all things psychological, linguistic, neuroscientific, genomic, evolutionary, informatic, computational, complex and fractal. Dealing with the most central puzzles of mind science and AI, and weaving in some of the most fundamental concepts in mathematics such as symmetry, geometry, functions, discrete maths and formal axiomatic systems.This book presents nothing less than a seamless unified theory of Brain, Mind, Artificial Intelligence, Functional Genomics, Ontogenesis and Evolution. Also covering topics such as the quest for the Perfect & Universal Language, Recursively Self Modifying Algorithms, Super Intelligence & Technological Singularity.
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Throughout the book, readers take a journey throughout time and observe how people around the world have understood these patterns of quantity, structure, and dimension around them. The Development of Mathematics Throughout the Centuries: A Brief History in a Cultural Contex provides a brief overview of the history of mathematics in a very straightforward and understandable manner and also addresses major findings that influenced the development of mathematics as a coherent discipline. This book: Highlights the contributions made by various world cultures including African, Egyptian, Babylonian, Chinese, Indian, Islamic, and pre-Columbian American mathematics Features an approach that is not too rigorous and is ideal for a one-semester course of the history of mathematics. Includes a Resources and Recommended Reading section for further exploration and has been extensively classroom-tested
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Эта книга — репринт оригинального издания (издательство "New York : Funk and Wagnalls company", 1899 год), созданный на основе электронной копии высокого разрешения, которую очистили и обработали вручную, сохранив структуру и орфографию оригинального издания. Редкие, забытые и малоизвестные книги, изданные с петровских времен до наших дней, вновь доступны в виде печатных книг.Contents: On Mind below Man; The Scope of Mind in Man; The Conscious Mind; The Unconscious Mind; The Relations of the Unconscious and Conscious; The Unconscious Mind and Habit; The Unconscious Mind and Its Qualities-Memory and Sleep; The Unconscious Mind in the Child; General Principles of Unconscious Education; The Unconscious Mind and Its Detailed Education; The Unconscious Mind and Sensation; The Unconscious Mind and the Body Generally; The Unconscious Mind and the Special Senses-Sight; The Unconscious Mind and the Special Senses and Speech-Hearing, etc.; The Unconscious Mind and the Muscular System; The Unconscious Mind and Its Action on the Heart, Lungs, Skin, Stomach; and in Sex and Reproduction; The Unconscious Mind and Disease; The Unconscious Mind and Therapeutics, I.; The Unconscious Mind and Therapeutics, II.; and The Value of the Unconscious Mind.
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a fantasy drama the murder in the Mexican village of El Rosario followed by four items about the life and legacy of Cesar del Mundo the British artist who devised the school of art known as Art of the Mind
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The sixth monograph of AMTE highlights examples of the important scholarship of the mathematics teacher education community. This monograph, like others produced by AMTE, serves as a forum for mathematics teacher educators to exchange ideas, experiences, resources, and detailed acounts of work to improve preservice and inservice teacher preparation. Chapters address important issues such as: designing tasks to emphasize mathematics knowledge for teaching; capitalizing on opportunities for student teaching mentor learning; and learning to lead classroom mathematics discussions.
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Discrete Mathematics for Teachers is a text designed to fill this void. The topic is right. Discrete mathematics provides a rich and varied source of problems for exploration and communication, expands knowledge of mathematics in directions related to elementary and middle school curricula, and is easily presented using our best understanding of the ways that mathematics is learned and taught. The presentation is right. In the spirit of NCTM's Principles and Standards for School Mathematics, topics are presented with careful attention to the best traditions of problem solving, reasoning and proof, communication, connections with other disciplines and other areas of mathematics, and varied modes of representation.
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For the first time, all of your first 100 lessons of mathematics are in one book. Come on a journey that takes you from numbers and symbols to branches of mathematics including arithmetic, percentages, geometry, and algebra. Unlock the secrets of the mathematics of money. These first 100 lessons are presented in learning order to maximize your progress.
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Mathematics teacher education has a critical role to play in preparing teachers to put at center stage goals tosupport equity in mathematics education and to diversify student interest and participation in mathematics.These goals must also resonate with broader public interest goals to improve educational and socialconditions both in the U.S. and abroad. The Mathematics Teacher Education in the Public Interest book aimsto support mathematics teacher educators to prepare teachers with new knowledge and skills to support allstudents to learn mathematics and to become informed, engaged, and critical citizens within theircommunity, nation, and world. While internationally there is considerable interest among mathematicseducators in issues of equity and social justice, the literature on mathematics teacher education for equity andsocial justice thus far has been very limited.The book provides theoretical discussions on the need for equity and social justice emphases inmathematics teacher education, as well as practical examples from mathematics teacher educators, documenting their own professional efforts tocenter practices on equity and social justice. Section emphases include critical perspectives on mathematics teacher education, the use of equity andsocial justice-themed activities in mathematics teacher preparation courses, and issues of identity and community and cultural contexts in mathematicsteacher education. In addition syntheses of major ideas of the book are offered b...
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Teaching Mathematics is nothing less than a mathematical manifesto. Arising in response to a limited National Curriculum, and engaged with secondary schooling for those aged 11 ̶ 14 (Key Stage 3) in particular, this handbook for teachers will help them broaden and enrich their students' mathematical education. It avoids specifying how to teach, and focuses instead on the central principles and concepts that need to be borne in mind by all teachers and textbook authors-but which are little appreciated in the UK at present.This study is aimed at anyone who would like to think more deeply about the discipline of 'elementary mathematics', in England and Wales and anywhere else. By analysing and supplementing the current curriculum, Teaching Mathematics provides food for thought for all those involved in school mathematics, whether as aspiring teachers or as experienced professionals. It challenges us all to reflect upon what it is that makes secondary school mathematics educationally, culturally, and socially important.
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A complete guide to site grading for designers and other visual learners Grading With Design in Mind: Landscape Site Grading Principles is a comprehensive guide to grading, written specifically from the design perspective. Heavily illustrated and non-technical, this book meets the needs of designers and visual learners by presenting the principles and methods of site grading with less emphasis on engineering, and a strong focus on the effect on the overall aesthetic. Written by a professor in America's number-one ranked undergraduate landscape architecture program, the book guides readers step-by-step through the process of solving various grading problems in real-life scenarios. Landscape designers, landscape architects, and engineers need to have a deep understanding of site grading as the foundation of any project. Grading plans must not only solve practical requirements, but also create landforms that contribute to the aesthetic ambition of the overall site and architectural design concept. Grading With Design in Mind takes a highly visual approach to presenting modern grading techniques and considerations, providing designers the guidance they need to become competent in site grading while understanding the design implications of the subject. Features include: Numerous illustrations to support the text Step-by-step examples Professional grading plans Studying the professional grading plans helps readers better understand the real-world application of grading principles in different situations. Site grading is a complicated topic with plenty of on-site variables, but Grading with Design in Mind breaks it down into clear, concise instruction with value to both professionals and students in the field of landscape design.
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Presents a uniquely balanced approach that bridges introductory and advanced topics in modern mathematics An accessible treatment of the fundamentals of modern mathematics, Principles of Mathematics: A Primer provides a unique approach to introductory andadvanced mathematical topics. The book features six main subjects, whichcan be studied independently or in conjunction with each other including: settheory; mathematical logic; proof theory; group theory; theory of functions; andlinear algebra. The author begins with comprehensive coverage of the necessary building blocks in mathematics and emphasizes the need to think abstractly and develop an appreciation for mathematical thinking. Maintaining a useful balance of introductory coverage and mathematical rigor, Principles of Mathematics: A Primer features: Detailed explanations of important theorems and their applications Hundreds of completely solved problems throughout each chapter Numerous exercises at the end of each chapter to encourage further exploration Discussions of interesting and provocative issues that spark readers’ curiosity and facilitate a better understanding and appreciation of the field of mathematics Principles of Mathematics: A Primer is an ideal textbook for upper-undergraduate courses in the foundations of mathematics and mathematical logic as well as for graduate-level courses related to physics, engineering, and computer science. The book is also a useful reference for readers interested in pursuing careers in mathematics and the sciences. Vladimir Lepetic, PhD, is Professor in the Department of Mathematical Sciences at DePaul University. His research interests include mathematical physics, set theory, foundations of mathematics, and the philosophy of mathematics.
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This book is the second, extended edition of the first of its kind. It is a resource to help people artists, teachers, administrators, and students assess and compare programs for a new PhD in Studio Art."A PhD in art is inevitable, and so best to explore the implications of this seemingly inevitable development."-David Carrier, Champney Family Professor, Case Western Reserve University/ Cleveland Institute of Art."I find this book to be fascinating and thought-provoking material."-Andrew E. Hershberger, Associate Professor of Contemporary Art History, Bowling Green State University."It is especially timely that a book addressing the many concerns regarding this degree should appear in the US market."-Tom Huhn, Ph.D., Chair Visual & Critical Studies, Art History School of Visual Arts, New York."The book is organized as a constructive debate that encourages people to engage with the issues."-Lynette Hunter, Professor of the History of Rhetoric and Performance and Director UC Multicampus Research Group in International Performance and Culture, University of California Davis."This book furthers the debate by opening various windows on the discussion of studio art."-Harold Linton, Chair Department of Art and Visual Technology, College of Visual and Performing Arts George Mason University."We are in the midst of a paradigm shift.The range of viewpoints presented in this collection will help spur the debate and contribute to clarifyin...
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Macmillan Mathematics is a six-level Primary Mathematics course designed to meet the needs of international learners. The Teacher's Guide includes facsimiles of the Pupil's Book pages, answers to all the exercises, and supportive lesson notes to ensure that teachers get the most out of the course and their pupils.
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The 14 chapters in this monograph provide support for mathematics teacher educators in both their Practical Knowledge and their Professional Knowledge. Individually, these articles provide insights into advancing our thinking about professional development, teacher preparation, and program development. Collectively, they have the potential to help the field of mathematics teacher education move forward in framing effective practices in mathematics teacher education and developing a focused, cohesive research agenda. ATME's Monograph 5, therefore, is a superb resource for mathematics teacher education.
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A Volume in The Montana Mathematics Enthusiast:Monograph Series in Mathematics EducationSeries Editor Bharath Sriraman, The University of MontanaInternational Perspectives and Research on Social Justice in Mathematics Education is the highly acclaimedinaugural monograph of The Montana Mathematics Enthusiast now available through IAP. The book coversprescient social, political and ethical issues for the domain of education in general and mathematics educationin particular from the perspectives of critical theory, feminist theory and social justice research. The majorthemes in the book are (1) relevant mathematics, teaching and learning practices for minority andmarginalized students in Australia, Brazil, South Africa, Israel, Palestine, and the United States., (2) closingthe achievement gap in the U.K, U.S and Iceland across classes, ethnicities and gender, and (3) the politicaldimensions of mathematics. The fourteen chapters are written by leading researchers in the internationalcommunity interested and active in research issues of equity and social justice.
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A perennial discussion about teacher development is the optimal content background for teachers. Inrecent years, that discussion has taken center stage in the work of mathematics education researchers,mathematicians, mathematics professional developers, and mathematics education policymakers. Muchof the existing and prior work in this area has been directed toward mathematical knowledge forteaching at the elementary level. The work described in this volume takes a sometimes-neglectedapproach, focusing on the dynamic nature of mathematical understanding rather than on a stabledescription of mathematical knowledge, and on mathematics for secondary teaching rather thanmathematics for teaching at the elementary level.The work reported in Mathematical Understanding for Secondary Teaching: A Framework and Classroom-Based Situations is a practice-basedresponse to the question of what mathematical understandings secondary teachers could productively use in their teaching. For each of more than 50events, our team of almost 50 mathematics educators who were experienced mathematics teachers developed descriptions of the mathematics thatteachers could use-each of those descriptions (consisting of the event and the mathematics related to the event) is what we call a Situation. Wedeveloped our Framework for Mathematical Understanding for Secondary Teaching (MUST) based on an analysis of our entire set of Situations. Wecall the work practice-based because the MUST framework is based on actu...
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Macmillan Mathematics is a six-level Primary Mathematics course designed to meet the needs of international learners. The Teacher's Guide includes facsimiles of the Pupil's Book pages, answers to all the exercises, and supportive lesson notes to ensure that teachers get the most out of the course and their pupils.
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Macmillan Mathematics is a six-level Primary Mathematics course designed to meet the needs of international learners. The Teacher's Guide includes facsimiles of the Pupil's Book pages, answers to all the exercises, and supportive lesson notes to ensure that teachers get the most out of the course and their pupils.
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Graphic tools and visual solutions for team building and development Visual Teams uses visual tools and methods to help teams—both face-to-face and virtual—reach high performance in today's work environment. As teams become more and more global and distributed, visualization provides an important channel of communication—one that opens up the group's mind to improving work systems and processes by understanding relationships, interconnections, and big picture contexts. Visual Teams shares best practices and uses visualization as a power tool for process improvement by providing teams with a common language for high performance. The book: Explores how any kind of team can draw on the principles and practices of creative design teams in the software, architectural, engineering, and information design professions Introduces the Drexler/Sibbet Team Performance™ Model and related tools—a system used throughout companies such as Nike, Genentech, Becton Dickinson, Chevron, and others Visual Teams presents a comprehensive framework, best practices, and unique visual tools for becoming an innovative, high-performance team.
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A Volume in The Montana Mathematics Enthusiast:Monograph Series in Mathematics EducationSeries Editor Bharath Sriraman, The University of MontanaPaul Ernest's name is synonymous with social constructivism as a philosophy ofmathematics. His contributions to mathematics education have occurred at a veryfundamental level and to an extent shaped theory development in this field. Hisresearch addresses fundamental questions about the nature of mathematics and how itrelates to teaching, learning and society. For the last three decades Paul has been aprolific scholar who has published in a wide array of topics such as the relationshipbetween the philosophy of mathematics and mathematics education, and moregenerally the philosophy of mathematics education, ethics and values in mathematics education, and the philosophy ofresearch methodology.The title of this Festschrift is meant to be a pun to convey the sometimes relativistic dimension to mathematical certaintythat Paul argued for in developing his philosophy, and also a play on words for the fact that absolute "earnestness" mayperhaps be a Platonic construct, and not possible in the realm of language and human discourse! Paul Ernest's scholarlyevolution and life can best be summarized in the words of Walt Whitman "Do I contradict myself? Very well then Icontradict myself" (I am large, I contain multitudes). Indeed his presence has beenlarge and multitudinous and this Festschrift celebrates his 65th Birthday w...
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This book presents examples of the scholarship of Brazilian mathematics educators. The authors who contributed to this collection situate their work within the construct of creative insubordination. With this collection we hope to increase the participation of Brazilian scholars in the international conversations of research on mathematics teaching and learning.
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The seventh monograph of AMTE highlights examples of important scholarship of and for the mathematics teacher education community. This monograph, like others produced by AMTE, serves as a forum for mathematics teacher educators to exchange ideas, experiences, resources, and detailed accounts of work to improve teacher preparation. Chapters in this monograph take up a variety of issues such as using online social networking in the preparation of teachers, examining the impact of textbook-specific professional development, and offering a mathematics-specific reading in the content area course.
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A volume in Research on Technology and the Teaching and Learningof Mathematics: Syntheses, Cases, and PerspectivesAccording to NCTM's Principles and Standards for School Mathematics, "Technology isessential in teaching and learning of mathematics; it influences the mathematics that is taughtand it enhances students' learning." How does research inform this clarion call for technology inmathematics teaching and learning? In response to the need to craft appropriate roles fortechnology in school mathematics new technological approaches have been applied to theteaching and learning of mathematics, and these approaches have been examined by researchersworld-wide.The first volume provides insight into what research suggests about the nature of mathematicslearning in technological environments. Included in this volume are syntheses of research ontechnology in the learning of rational number, algebra, elementary and secondary geometry,mathematical modeling, and calculus. Additional chapters synthesize research on technology in the practice of teaching and on equityissues in the use of technology in mathematics instruction. Instead of simply reporting achievement scores of students who use technologyin their learning, authors provide thoughtful analyses of bodies of research with the goal of understanding the ways in which technologyaffects what and how students learn. Each of the chapters in this volume is written by a team of experts whose own research hasprovided i...
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A volume in the series The Montana Mathematics Enthusiast: Monograph Seriesin Mathematics Education. Series Editor: Bharath Sriraman, The University of MontanaThe title of the book is Critique as Uncertainty. Thus Ole Skovsmose seesuncertainty as an important feature of any critical approach. He does not assumethe existence of any blue prints for social and political improvements, nor thatcertain theoretical structures can provide solid foundations for a criticalactivities. For him critique is an open and uncertain activity. This also applies tocritical mathematics education.Critique as Uncertainty includes papers Ole Skovsmose already has published aswell as some newly written chapters. The book addresses issues about: landscapes of investigations, students'foregrounds, mathematics education and democracy, mathematics and power. Finally it expresses concerns of acritical mathematics education.
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Curriculum materials are among the most pervasive and powerful influences on schoolmathematics. In many mathematics classes, student assignments, the questions theteacher asks, the ways students are grouped, the forms of assessment, and much moreoriginate in curriculum materials. At the same time, teachers have considerable latitude inhow they use their curriculum materials. Two classes making use of the same materialsmay differ markedly in what mathematics content is emphasized and how students are engaged in learning that content.This volume considers a variety of research tools for investigating the enactment of mathematics curriculum materials,describing the conceptualization, development, and uses of seven sets of tools. Mathematics education researchers,curriculum developers, teacher educators, district supervisors, teacher leaders, and math coaches will find insights that canimprove their work, and guidance for selecting, adapting, and using tools for understanding the complex relationshipbetween curriculum materials and their enactment in classroom instruction.
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A volume in Research on Technology and the Teaching and Learningof Mathematics: Syntheses, Cases, and PerspectivesAccording to NCTM's Principles and Standards for School Mathematics, "Technology isessential in teaching and learning of mathematics; it influences the mathematics that is taughtand it enhances students' learning." How does research inform this clarion call for technology inmathematics teaching and learning? In response to the need to craft appropriate roles fortechnology in school mathematics new technological approaches have been applied to theteaching and learning of mathematics, and these approaches have been examined by researchersworld-wide.The second volume has a dual focus: cases and perspectives. It features descriptive cases thatprovide accounts of the development of technology-intensive curriculum and tools. In thesecases the writers describe and analyze various roles that research played in their developmentwork and ways in which research, curriculum development, and tool development can informeach other. These thoughtful descriptions and analyses provide documentation of how this processcan and does occur. The remaining chapters in the second volume address research-related issues and perspectives on the use oftechnology in the teaching and learning of mathematics. The lessons learned from the research presented in these volumes are lessonsabout teaching and learning that can be applied more broadly than solely in technological setting... An easy-to-read presentation of the early history of mathematics Engaging and accessible, An Introduction to the Early Development of Mathematics provides a captivating introduction to the history of ancient mathematics in early civilizations for a nontechnical audience. Written with practical applications in a variety of areas, the book utilizes the historical context of mathematics as a pedagogical tool to assist readers working through mathematical and historical topics. The book is divided into sections on significant early civilizations including Egypt, Babylonia, China, Greece, India, and the Islamic world. Beginning each chapter with a general historical overview of the civilized area, the author highlights the civilization’s mathematical techniques, number representations, accomplishments, challenges, and contributions to the mathematical world. Thoroughly class-tested, An Introduction to the Early Development of Mathematics features: Challenging exercises that lead readers to a deeper understanding of mathematics Numerous relevant examples and problem sets with detailed explanations of the processes and solutions at the end of each chapter Additional references on specific topics and keywords from history, archeology, religion, culture, and mathematics Examples of practical applications with step-by-step explanations of the mathematical concepts and equations through the lens of early mathematical problems A companion website that includes additional exercises An Introduction to the Early Development of Mathematics is an ideal textbook for undergraduate courses on the history of mathematics and a supplement for elementary and secondary education majors. The book is also an appropriate reference for professional and trade audiences interested in the history of mathematics. Michael K. J. Goodman is Adjunct Mathematics Instructor at Westchester Community College, where he teaches courses in the history of mathematics, contemporary mathematics, and algebra. He is also the owner and operator of The Learning Miracle, LLC, which provides academic tutoring and test preparation for both college and high school students.