Mathematics Education and the Legacy of Zoltan Paul Dienes

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Publisher : IAP
ISBN 13 : 1607529106
Total Pages : 125 pages
Book Rating : 4.6/5 (75 download)

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Book Synopsis Mathematics Education and the Legacy of Zoltan Paul Dienes by : Bharath Sriraman

Download or read book Mathematics Education and the Legacy of Zoltan Paul Dienes written by Bharath Sriraman and published by IAP. This book was released on 2008-03-01 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: The name of Zoltan P. Dienes (1916-) stands with those of Jean Piaget and Jerome Bruner as a legendary figure whose theories of learning have left a lasting impression on the field of mathematics education. Dienes' name is synonymous with the Multi-base blocks (also known as Dienes blocks) which he invented for the teaching of place value. He also is the inventor of Algebraic materials and logic blocks, which sowed the seeds of contemporary uses of manipulative materials in mathematics instruction. Dienes' place is unique in the field of mathematics education because of his theories on how mathematical structures can be taught from the early grades onwards using multiple embodiments through manipulatives, games, stories and dance. Dienes' notion of embodied knowledge presaged other cognitive scientists who eventually came to recognize the importance of embodied knowledge and situated cognition - where knowledge and abilities are organized around experience as much as they are organized around abstractions. Dienes was an early pioneer in what was later to be called sociocultural perspectives and democratization of learning. This monograph compiled and edited by Bharath Sriraman honors the seminal contributions of Dienes to mathematics education and includes several recent unpublished articles written by Dienes himself. These articles exemplify his principles of guided discovery learning and reveal the non-trivial mathematical structures that can be made accessible to any student. The monograph also includes a rare interview with Dienes in which he reflects on his life, his work, the role of context, language and technology in mathematics teaching and learning today. The book finds an important place in any mathematics education library and is vital reading for mathematics education researchers, cognitive scientists, prospective teachers, graduate students and teachers of mathematics.

Building Up Mathematics

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Publisher :
ISBN 13 :
Total Pages : 236 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Building Up Mathematics by : Zoltan Paul Dienes

Download or read book Building Up Mathematics written by Zoltan Paul Dienes and published by . This book was released on 1967 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Crossroads in the History of Mathematics and Mathematics Education

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Publisher : IAP
ISBN 13 : 1617357065
Total Pages : 383 pages
Book Rating : 4.6/5 (173 download)

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Book Synopsis Crossroads in the History of Mathematics and Mathematics Education by : Bharath Sriraman

Download or read book Crossroads in the History of Mathematics and Mathematics Education written by Bharath Sriraman and published by IAP. This book was released on 2012-07-01 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interaction of the history of mathematics and mathematics education has long been construed as an esoteric area of inquiry. Much of the research done in this realm has been under the auspices of the history and pedagogy of mathematics group. However there is little systematization or consolidation of the existing literature aimed at undergraduate mathematics education, particularly in the teaching and learning of the history of mathematics and other undergraduate topics. In this monograph, the chapters cover topics such as the development of Calculus through the actuarial sciences and map making, logarithms, the people and practices behind real world mathematics, and fruitful ways in which the history of mathematics informs mathematics education. The book is meant to serve as a source of enrichment for undergraduate mathematics majors and for mathematics education courses aimed at teachers.

The First Sourcebook on Nordic Research in Mathematics Education

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Publisher : IAP
ISBN 13 : 1617351008
Total Pages : 753 pages
Book Rating : 4.6/5 (173 download)

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Book Synopsis The First Sourcebook on Nordic Research in Mathematics Education by : Bharath Sriraman

Download or read book The First Sourcebook on Nordic Research in Mathematics Education written by Bharath Sriraman and published by IAP. This book was released on 2010-09-01 with total page 753 pages. Available in PDF, EPUB and Kindle. Book excerpt: The First Sourcebook on Nordic Research in Mathematics Education: Norway, Sweden, Iceland, Denmark and contributions from Finland provides the first comprehensive and unified treatment of historical and contemporary research trends in mathematics education in the Nordic world. The book is organized in sections co-ordinated by active researchers in mathematics education in Norway, Sweden, Iceland, Denmark, and Finland. The purpose of this sourcebook is to synthesize and survey the established body of research in these countries with findings that have influenced ongoing research agendas, informed practice, framed curricula and policy. The sections for each country also include historical articles in addition to exemplary examples of recently conducted research oriented towards the future. The book will serve as a standard reference for mathematics education researchers, policy makers, practitioners and students both in and outside the Nordic countries.

Memoirs of a Maverick Mathematician

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Publisher : Upfront Publishing
ISBN 13 : 9781844261925
Total Pages : 580 pages
Book Rating : 4.2/5 (619 download)

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Book Synopsis Memoirs of a Maverick Mathematician by : Zoltan Paul Dienes

Download or read book Memoirs of a Maverick Mathematician written by Zoltan Paul Dienes and published by Upfront Publishing. This book was released on 2003 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dr Zoltan Dienes is a world-famous theorist and tireless practitioner of the 'new mathematics' - an approach to mathematics learning which uses games, songs and dance to make it more appealing to children. Holder of numerous honorary degrees, Dr Dienes has had a long and fruitful career, breaking new ground and gaining many followers with his revolutionary ideas of learning often complex mathematical concepts in such fun ways that children are often unaware that they are learning anything.This is an honest account of an academic radical, covering his sometimes unconventional childhood in Hungary, France, Germany and Britain, his peripatetic academic career, his successes and failures and his personal affairs. Occasionally sad or moving, frequently amusing and always fascinating, this autobiography shares some of the intelligence, spirit and humanity that have made Dr Dienes such a landmark figure in mathematics education. A 'must-read' for anyone with a professional interest in the field, this is also an absorbing and frank book for anyone interested in the life of a man of ideas who was not afraid to take on the might of the traditionalist educational establishment.

A Concrete Approach to the Architecture of Mathematics

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Publisher :
ISBN 13 : 9780473153175
Total Pages : 345 pages
Book Rating : 4.1/5 (531 download)

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Book Synopsis A Concrete Approach to the Architecture of Mathematics by : Zoltan Paul Dienes

Download or read book A Concrete Approach to the Architecture of Mathematics written by Zoltan Paul Dienes and published by . This book was released on 2009 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Zoltan Dienes (born 1916) is a Hungarian mathematician whose ideas on the education (especially of small children) have been popular in some countries. He is a world-famous theorist and tireless practitioner of the "new mathematics" - an approach to mathematics learning that uses games, songs and dance to make it more appealing to children. One of the best known examples of the application of these principles is Dienes' multibase blocks, which have been used in learning by many around the world to embody the concepts of place values. Mike Thomas is an Associate Professor at the Mathematics Education Unit in the Department of Mathematics at the University of Auckland, and has been in regular contact over the last ten years with Zoltan Dienes whose manuscripts have appeared regularly in the New Zealand Mathematics Magazine. Mike is confident that all mathematic educators will find something valuable in this publication as will their students.

Selected writings from the Journal of the Mathematics Council of the Alberta Teachers' Association

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Publisher : IAP
ISBN 13 : 1623967023
Total Pages : 503 pages
Book Rating : 4.6/5 (239 download)

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Book Synopsis Selected writings from the Journal of the Mathematics Council of the Alberta Teachers' Association by : Egan J Chernoff

Download or read book Selected writings from the Journal of the Mathematics Council of the Alberta Teachers' Association written by Egan J Chernoff and published by IAP. This book was released on 2014-06-01 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: The teaching and learning of mathematics in Alberta - one of three Canadian provinces sharing a border 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 Alberta Teachers' Association. 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 Alberta mathematics education community. As a result, this monograph provides a historical account 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 resource 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 Mathematics Council of the Alberta Teachers' Association.

Selected Writings from the Journal of the Saskatchewan Mathematics Teachers' Society

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Publisher : IAP
ISBN 13 : 1641135298
Total Pages : 500 pages
Book Rating : 4.6/5 (411 download)

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Book Synopsis Selected Writings from the Journal of the Saskatchewan Mathematics Teachers' Society by : Egan J Chernoff

Download or read book Selected Writings from the Journal of the Saskatchewan Mathematics Teachers' Society written by Egan J Chernoff and published by IAP. This book was released on 2019-07-01 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: The teaching and learning of mathematics in Saskatchewan—one of three Canadian provinces sharing a border with Montana—has a long and storied history. An integral part of the past 50 years (1961-2011) of history has been vinculum: Journal of the Saskatchewan Mathematics Teachers' Society (in its many different renditions). This monograph, which presents ten memorable articles from each of the past five decades (i.e., 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 decade-specific commentary by a prominent member of the Saskatchewan mathematics education community. As a result, this monograph provides a historical account as well as a contemporary view of many of the trends and issues (e.g., curriculum, technology) in the teaching and learning of mathematics. This book is meant to serve as a resource for a variety of individuals, including teachers of mathematics, mathematics teacher educators, mathematics education researchers, historians, and undergraduate and graduate students and, further, as a celebratory retrospective on the work of the Saskatchewan Mathematics Teachers' Society.

Selected writings from the Journal of the British Columbia Association of Mathematics Teachers

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Publisher : IAP
ISBN 13 : 1681233037
Total Pages : 463 pages
Book Rating : 4.6/5 (812 download)

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Book Synopsis Selected writings from the Journal of the British Columbia Association of Mathematics Teachers by : Egan J Chernoff

Download or read book Selected writings from the Journal of the British Columbia Association of Mathematics Teachers written by Egan J Chernoff and published by IAP. This book was released on 2016-06-01 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 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 account 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 resource 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 Mathematics Teachers.

The Development of Teaching Expertise from an International Perspective

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Publisher : IAP
ISBN 13 : 1623963788
Total Pages : 167 pages
Book Rating : 4.6/5 (239 download)

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Book Synopsis The Development of Teaching Expertise from an International Perspective by : Su Liang

Download or read book The Development of Teaching Expertise from an International Perspective written by Su Liang and published by IAP. This book was released on 2013-06-01 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an insightful view of effective teaching practices in China from an international perspective by examining the grades 7-12 mathematics teacher preparation in the Shandong province of China. It is an excellent reference book for teacher educators, researchers, reformers, and teaching practitioners. A qualitative research approach, involving in-depth interviews with purposive sampling of ten grades 7-12 award-winning mathematics teachers, was chosen to conduct the study. The participants are from the Shandong province and have been awarded recognition for his/her achievements in teaching grades 7-12 mathematics by the different levels: school, district, city, province, or nation; and his/her students have achieved high average scores in college entrance exams or in high school entrance exams among the classes at the same grade level. Data analysis revealed the following findings: first, grades 7-12 mathematics teachers from the Shandong province of China were prepared to teach through pre-service training, in-service training, and informal learning. The pre-service training can be characterized as emphasizing formal mathematics training at advanced level. The in-service training is integrated with teacher collaboration and teaching research, and has the characteristics of diversity, continuity, and orientation toward teaching practice. The in-service training also stimulates teachers to conduct self-directed learning. Second, the award-winning grades 7-12 mathematics teachers are identified by the following characteristics: they are passionate about mathematics and share their passion through teaching; they actively take part in teaching research through application of teaching research in the classroom, collaboration with peers, and systematic lesson preparation; they apply technology into teaching; and they take an active role in teaching research in order to expand their professional opportunities. Based on the findings of this study, the following conclusions were reached: pre-service training and in-service training are both necessary processes for mathematics teachers to build up their knowledge base for effective teaching. Pre-service training is just a starting point for the teaching profession. In-service training, integrated with teacher collaboration and teaching research should be a continuous activity that is a part of a teacher’s everyday life.

The Role of Mathematics Discourse in Producing Leaders of Discourse

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Publisher : IAP
ISBN 13 : 1607522845
Total Pages : 245 pages
Book Rating : 4.6/5 (75 download)

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Book Synopsis The Role of Mathematics Discourse in Producing Leaders of Discourse by : Libby Knott

Download or read book The Role of Mathematics Discourse in Producing Leaders of Discourse written by Libby Knott and published by IAP. This book was released on 2010-01-01 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: The intent of this monograph is to showcase successful implementation of mathematical discourse in the classroom. Some questions that might be addressed are: * How does a teacher begin to learn about using discourse purposefully to improve mathematics teaching and learning? * How is discourse interwoven into professional development content courses to provide teachers with the tools necessary to begin using discourse in their own classrooms? * What does a discourse-rich classroom look like and how is it different from other classrooms, from both the teacher's and the students' perspectives? * How can teachers of pre-service teachers integrate discourse into their content and methods courses? * How can we use discourse research to inform work with teachers, both pre- and in-service, for example, to help them know how to respond to elicited knowledge from students in their classrooms? * What are the discourse challenges in on-line mathematics courses offered for professional development? Can on-line classrooms also be discourse-rich? What would that look like? * In what ways does mathematical discourse differ from discourse in general?

Critique as Uncertainty

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Publisher : IAP
ISBN 13 : 1623967554
Total Pages : 391 pages
Book Rating : 4.6/5 (239 download)

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Book Synopsis Critique as Uncertainty by : Ole Skovsmose

Download or read book Critique as Uncertainty written by Ole Skovsmose and published by IAP. This book was released on 2014-09-01 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: The title of the book is Critique as Uncertainty. Thus Ole Skovsmose sees uncertainty as an important feature of any critical approach. He does not assume the existence of any blue prints for social and political improvements, nor that certain theoretical structures can provide solid foundations for a critical activities. For him critique is an open and uncertain activity. This also applies to critical mathematics education. Critique as Uncertainty includes papers Ole Skovsmose already has published as well 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 a critical mathematics education.

The Mathematics of Paul Erdős II

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Publisher : Springer Science & Business Media
ISBN 13 : 1461472547
Total Pages : 607 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis The Mathematics of Paul Erdős II by : Ronald L. Graham

Download or read book The Mathematics of Paul Erdős II written by Ronald L. Graham and published by Springer Science & Business Media. This book was released on 2013-08-04 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the most comprehensive survey of the mathematical life of the legendary Paul Erdős (1913-1996), one of the most versatile and prolific mathematicians of our time. For the first time, all the main areas of Erdős' research are covered in a single project. Because of overwhelming response from the mathematical community, the project now occupies over 1000 pages, arranged into two volumes. These volumes contain both high level research articles as well as key articles that survey some of the cornerstones of Erdős' work, each written by a leading world specialist in the field. A special chapter "Early Days", rare photographs, and art related to Erdős complement this striking collection. A unique contribution is the bibliography on Erdős' publications: the most comprehensive ever published. This new edition, dedicated to the 100th anniversary of Paul Erdős' birth, contains updates on many of the articles from the two volumes of the first edition, several new articles from prominent mathematicians, a new introduction, and more biographical information about Paul Erdős with an updated list of publications. The second volume contains chapters on graph theory and combinatorics, extremal and Ramsey theory, and a section on infinity that covers Erdős' research on set theory. All of these chapters are essentially updated, particularly the extremal theory chapter that contains a survey of flag algebras, a new technique for solving extremal problems.

Interdisciplinarity for the 21st Century

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Publisher : IAP
ISBN 13 : 1617352209
Total Pages : 509 pages
Book Rating : 4.6/5 (173 download)

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Book Synopsis Interdisciplinarity for the 21st Century by : Bharath Sriraman

Download or read book Interdisciplinarity for the 21st Century written by Bharath Sriraman and published by IAP. This book was released on 2010-11-01 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interdisciplinarity has become increasingly important for emergent professions of the 21st century yet there is a dearth of systematic studies aimed at implementing it in the school and university curricula. The Mathematics and its Connections to the Arts and Sciences (MACAS ) group places Mathematics as a vehicle through which deep and meaningful connections can be forged with the Arts and the Sciences and as a means of promoting interdisciplinary and transdisciplinary thinking traits amongst students. The Third International Symposium held by the MACAS group in Moncton, Canada in 2009 included numerous initiatives and ideas for interdisciplinarity that are implementable in both the school and university setting. The chapters in this book cover interdisciplinary links with mathematics found in the domains of culture, art, aesthetics, music, cognition, history, philosophy, engineering, technology and science with contributors from Canada, U.S, Denmark, Germany, Mexico, Iran and Poland amongst others.

Relatively and Philosophically Earnest

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Publisher : IAP
ISBN 13 : 1607523361
Total Pages : 259 pages
Book Rating : 4.6/5 (75 download)

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Book Synopsis Relatively and Philosophically Earnest by : Bharath Sriraman

Download or read book Relatively and Philosophically Earnest written by Bharath Sriraman and published by IAP. This book was released on 2009-10-01 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paul Ernest’s name is synonymous with social constructivism as a philosophy of mathematics. His contributions to mathematics education have occurred at a very fundamental level and to a extent shaped theory development in this field. His research addresses fundamental questions about the nature of mathematics and how it relates to teaching, learning and society. For the last three decades Paul has been a prolific scholar who has published in a wide array of topics such as the relationship between the philosophy of mathematics and mathematics education, and more generally the philosophy of mathematics education, ethics and values in mathematics education, and the philosophy of research methodology. The title of this Festschrift is meant to be a pun to convey the sometimes relativistic dimension to mathematical certainty that Paul argued for in developing his philosophy, and also a play on words for the fact that absolute “earnestness” may perhaps be a Platonic construct, and not possible in the realm of language and human discourse! Paul Ernest’s scholarly evolution and life can best be summarized in the words of Walt Whitman “Do I contradict myself? Very well then I contradict myself” (I am large, I contain multitudes). Indeed his presence has been large and multitudinous and this Festschrift celebrates his 65th Birthday with numerous contributions coming from the mathematics, philosophy and mathematics education communities around the world.

TExES Core Subjects 4-8 (211) Book + Online

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Publisher : Research & Education Assoc.
ISBN 13 : 0738611972
Total Pages : 562 pages
Book Rating : 4.7/5 (386 download)

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Book Synopsis TExES Core Subjects 4-8 (211) Book + Online by : Ann M.L. Cavallo

Download or read book TExES Core Subjects 4-8 (211) Book + Online written by Ann M.L. Cavallo and published by Research & Education Assoc.. This book was released on 2019-04-30 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teacher candidates seeking certification to teach the middle-level grades in Texas's public schools must pass the TExES Core Subjects 4-8 exam. Written by a team of faculty experts led by Dr. Ann M.L. Cavallo, Associate Dean for Research and Graduate Studies at the University of Texas at Arlington, REAs test prep provides extensive coverage of the four core subject areas tested on the exam: English Language Arts and Reading (806); Mathematics (807); Social Studies (808); and Science (809). In addition to a thorough review, this test prep features a diagnostic test and 2 full-length practice test batteries (1 in the book and 1 online at the REA Study Center) that deal with every question type, competency, and skill tested on the exam. REAs online tests run under timed conditions and provide automatic scoring and diagnostic feedback on every question to help teacher candidates zero in on the topics that give them trouble now, so they can succeed on test day. -- Amazon.com.

TExES Core Subjects 4-8 (211) Book + Online, 2nd Ed.

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Author :
Publisher : Research & Education Assoc.
ISBN 13 : 0738612820
Total Pages : 587 pages
Book Rating : 4.7/5 (386 download)

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Book Synopsis TExES Core Subjects 4-8 (211) Book + Online, 2nd Ed. by : Ann M.L. Cavallo

Download or read book TExES Core Subjects 4-8 (211) Book + Online, 2nd Ed. written by Ann M.L. Cavallo and published by Research & Education Assoc.. This book was released on 2023-01-03 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: REA's TExES Core Subjects 4-8 (211) Test Prep with Online Practice Tests Gets You Certified and in the Classroom! Teacher candidates seeking certification to teach the middle-level grades in Texas's public schools must pass the TExES Core Subjects 4-8 exam. Written by a team of faculty experts led by Dr. Ann M. L. Cavallo, Associate Dean for Research and Graduate Studies at the University of Texas at Arlington, REA's test prep provides extensive coverage of the four core subject areas tested on the exam: English Language Arts and Reading (806); Mathematics (807); Social Studies (808); and Science (809). In addition to a thorough review, this test prep features a diagnostic test and 2 full-length practice test batteries (1 in the book and 1 online at the REA Study Center) that deal with every question type, competency, and skill tested on the exam. REA's online tests run under timed conditions and provide automatic scoring and diagnostic feedback on every question to help teacher candidates zero in on the topics that give them trouble now, so they can succeed on test day. The new 200-question Core Subjects test, one of the largest of its kind in the United States, was first administered in January 2015; it replaced the TExES Generalist 4-8 (111) exam. REA's test prep package includes: - Comprehensive review of all domains and content categories tested on the TExES Core Subjects 4-8 exam - Online diagnostic that pinpoints strengths and weaknesses to help focus study - 2 full-length practice test batteries based on actual exam questions - Practice test answers explained in detail - Proven study tips, strategies, and confidence-boosting advice - Online practice tests feature timed testing, automatic scoring, and topic-level feedback REA's TExES Core Subjects 4-8 (211) is a must-have for anyone who wants to become a middle-school teacher in Texas.