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Quantitative Measures Of Mathematical Knowledge
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Book Synopsis Quantitative Measures of Mathematical Knowledge by : Jonathan Bostic
Download or read book Quantitative Measures of Mathematical Knowledge written by Jonathan Bostic and published by Routledge. This book was released on 2019-04-29 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to explore measures of mathematics knowledge, spanning K-16 grade levels. By focusing solely on mathematics content, such as knowledge of mathematical practices, knowledge of ratio and proportions, and knowledge of abstract algebra, this volume offers detailed discussions of specific instruments and tools meant for measuring student learning. Written for assessment scholars and students both in mathematics education and across educational contexts, this book presents innovative research and perspectives on quantitative measures, including their associated purpose statements and validity arguments.
Book Synopsis Quantitative Measures of Mathematical Knowledge by : Jonathan Bostic
Download or read book Quantitative Measures of Mathematical Knowledge written by Jonathan Bostic and published by Routledge. This book was released on 2019-04-29 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to explore measures of mathematics knowledge, spanning K-16 grade levels. By focusing solely on mathematics content, such as knowledge of mathematical practices, knowledge of ratio and proportions, and knowledge of abstract algebra, this volume offers detailed discussions of specific instruments and tools meant for measuring student learning. Written for assessment scholars and students both in mathematics education and across educational contexts, this book presents innovative research and perspectives on quantitative measures, including their associated purpose statements and validity arguments.
Book Synopsis Assessing Children'S Mathematical Knowledge by : Cooper, Barry
Download or read book Assessing Children'S Mathematical Knowledge written by Cooper, Barry and published by McGraw-Hill Education (UK). This book was released on 1999-12-01 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'this work is highly relevant to the proliferation of accountability measures worldwide' James Scheurich and Douglas Foley In many countries, the lives of teachers and children are increasingly dominated by programmes of national testing of mathematics and other subjects. In England, the majority of the items in such tests have set mathematical tasks in every day situations such as 'shopping'. This requires children to make decisions about whether to use or not their own every day knowledge and experience in their problem-solving. Some children are likely to have a better 'feel for this game' than others. Assessing Children's Mathematical Knowledge draws on the analysis of national curriculum test data from more than 600 children of 10-11 and 13-14 years of age, as well as in-depth interviews with 250 of these as they attempt to solve test problems, in order to explore the nature of the difficulties children experience with 'realistic' items. The book shows, by comparing test and interview data, that many children, as a consequence of their confusion over the requirements of 'realistic' test items, fail in tests to demonstrate mathematical knowledge and understanding that they actually possess. The book also explores whether this problem of invalid measurement is equally spread across children from different social backgrounds, and across the sexes. The book will be of interest to academics and teachers studying for advanced degrees in mathematics education, sociology of education and educational assessment.
Book Synopsis The Origins of Mathematical Knowledge in Childhood by : Catherine Sophian
Download or read book The Origins of Mathematical Knowledge in Childhood written by Catherine Sophian and published by Routledge. This book was released on 2017-09-25 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the origins and development of children's mathematical knowledge. It contrasts the widely held view that counting is the starting point for mathematical development with an alternative comparison-of-quantities position. According to the comparison-of-quantities position, the concept of number builds upon more basic concepts of equality, inequality, and less-than and greater-than relations, which derive from comparisons between unenumerated quantities such as lengths. The concept of number combines these basic comparative concepts with the concept of a unit of measure, which allows one quantity to be described as a multiple of another. Sophian examines these alternative accounts of children's developing mathematical knowledge in the light of research: on children's counting; on their reasoning about continuous quantities such as length and area; on the development of the concept of unit; on additive and multiplicative reasoning; and on knowledge about fractions. In the closing chapters, Sophian draws out the developmental and the educational implications of the research and theory presented. Developmentally, the comparison-of-quantities position undermines the idea that numerical knowledge develops through domain-specific learning mechanisms in that it links numerical development both to physical knowledge about objects, which is the starting point for the concept of unit, and to the acquisition of linguistic number terms. Instructionally, the comparison-of-quantities perspective diverges from the counting-first perspective in that it underscores the continuity between whole-number arithmetic and fraction learning that stems from the importance of the concept of unit for both. Building on this idea, Sophian advances three instructional recommendations: First, instruction about numbers should always be grounded in thinking about quantities and how numbers represent the relations between them; second, instruction in the early years should always be guided by a long-term perspective in which current objectives are shaped by an understanding of their role in the overall course of mathematics learning; and third, instruction should be directly toward promoting the acquisition of the most general mathematical knowledge possible. The Origins of Mathematical Knowledge in Childhood is intended for researchers, professionals, and graduate students in developmental psychology, educational psychology, and mathematics education, and as a supplementary text for advanced undergraduate courses in cognitive development, educational psychology, and mathematics education.
Book Synopsis Quantitative Literacy by : Bernard L. Madison
Download or read book Quantitative Literacy written by Bernard L. Madison and published by . This book was released on 2003 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Digital Games and Mathematics Learning by : Tom Lowrie
Download or read book Digital Games and Mathematics Learning written by Tom Lowrie and published by Springer. This book was released on 2015-10-05 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: Digital games offer enormous potential for learning and engagement in mathematics ideas and processes. This volume offers multidisciplinary perspectives—of educators, cognitive scientists, psychologists and sociologists—on how digital games influence the social activities and mathematical ideas of learners/gamers. Contributing authors identify opportunities for broadening current understandings of how mathematical ideas are fostered (and embedded) within digital game environments. In particular, the volume advocates for new and different ways of thinking about mathematics in our digital age—proposing that these mathematical ideas and numeracy practices are distinct from new literacies or multiliteracies. The authors acknowledge that the promise of digital games has not always been realised/fulfilled. There is emerging, and considerable, evidence to suggest that traditional discipline boundaries restrict opportunities for mathematical learning. Throughout the book, what constitutes mathematics learnings and pedagogy is contested. Multidisciplinary viewpoints are used to describe and understand the potential of digital games for learning mathematics and identify current tensions within the field. Mathematics learning is defined as being about problem solving; engagement in mathematical ideas and processes; and social engagement. The artefact, which is the game, shapes the ways in which the gamers engage with the social activity of gaming. In parallel, the book (as a te xtual artefact) will be supported by Springer’s online platform—allowing for video and digital communication (including links to relevant websites) to be used as supplementary material and establish a dynamic communication space.
Book Synopsis Mathematics for Sustainability by : John Roe
Download or read book Mathematics for Sustainability written by John Roe and published by Springer. This book was released on 2018-04-26 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for the 21st century classroom, this textbook poses, refines, and analyzes questions of sustainability in a quantitative environment. Building mathematical knowledge in the context of issues relevant to every global citizen today, this text takes an approach that empowers students of all disciplines to understand and reason with quantitative information. Whatever conclusions may be reached on a given topic, this book will prepare the reader to think critically about their own and other people’s arguments and to support them with careful, mathematical reasoning. Topics are grouped in themes of measurement, flow, connectivity, change, risk, and decision-making. Mathematical thinking is at the fore throughout, as students learn to model sustainability on local, regional, and global scales. Exercises emphasize concepts, while projects build and challenge communication skills. With no prerequisites beyond high school algebra, instructors will find this book a rich resource for engaging all majors in the mathematics classroom. From the Foreword No longer will you be just a spectator when people give you quantitative information—you will become an active participant who can engage and contribute new insights to any discussion.[...] There are many math books that will feed you knowledge, but it is rare to see a book like this one that will help you cultivate wisdom.[...] As the authors illustrate, mathematics that pays attention to human considerations can help you look at the world with a new lens, help you frame important questions, and help you make wise decisions. Francis Edward Su, Harvey Mudd College
Book Synopsis Assessment in Mathematics Education Contexts by : Jonathan D. Bostic
Download or read book Assessment in Mathematics Education Contexts written by Jonathan D. Bostic and published by Routledge. This book was released on 2019-05-13 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to provide theoretical discussions of assessment development and implementation in mathematics education contexts, as well as to offer readers discussions of assessment related to instruction and affective areas, such as attitudes and beliefs. By providing readers with theoretical implications of assessment creation and implementation, this volume demonstrates how validation studies have the potential to advance the field of mathematics education. Including chapters addressing a variety of established and budding areas within assessment and evaluation in mathematics education contexts, this book brings fundamental issues together with new areas of application.
Book Synopsis Large-Scale Studies in Mathematics Education by : James A. Middleton
Download or read book Large-Scale Studies in Mathematics Education written by James A. Middleton and published by Springer. This book was released on 2015-05-05 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, funding agencies like the Institute of Educational Sciences and the National Science Foundation have increasingly emphasized large-scale studies with experimental and quasi-experimental designs looking for 'objective truths'. Educational researchers have recently begun to use large-scale studies to understand what really works, from developing interventions, to validation studies of the intervention, and then to efficacy studies and the final "scale-up" for large implementation of an intervention. Moreover, modeling student learning developmentally, taking into account cohort factors, issues of socioeconomics, local political context and the presence or absence of interventions requires the use of large data sets, wherein these variables can be sampled adequately and inferences made. Inroads in quantitative methods have been made in the psychometric and sociometric literatures, but these methods are not yet common knowledge in the mathematics education community. In fact, currently there is no volume devoted to discussion of issues related to large-scale studies and to report findings from them. This volume is unique as it directly discusses methodological issue in large-scale studies and reports empirical data from large-scale studies.
Book Synopsis The AMTE Handbook of Mathematics Teacher Education by : Babette M. Benken
Download or read book The AMTE Handbook of Mathematics Teacher Education written by Babette M. Benken and published by IAP. This book was released on 2024-02-01 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new volume of The Association of Mathematics Teacher Educators (AMTE) Professional Book Series is a critical and timely resource that paves the way and guides the future of mathematics teacher education. The collection of work in this AMTE Handbook of Mathematics Teacher Education reflects on research and what we know about how best to prepare and support both mathematics teachers and mathematics teacher educators and presents what is happening in the field. Examples included in the 22 chapters highlight how we are preparing teachers across multiple contexts (e.g., within district, in content courses for the major) and grade ranges (K-20+) and all chapters highlight relevant connections to the AMTE Standards for Preparing Teachers of Mathematics. Most importantly, this volume explores what we do not yet fully understand and where we are going. In essence, it considers how we can move the field forward. The 95 contributing authors range from graduate students to those who have served as leaders in the field in multiple ways for many years. Authors include K-12 teachers, school administrators, district leaders, graduate students, higher education faculty, and professional development facilitators.
Book Synopsis Essentials of WISC-IV Assessment by : Dawn P. Flanagan
Download or read book Essentials of WISC-IV Assessment written by Dawn P. Flanagan and published by John Wiley & Sons. This book was released on 2004-11-11 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: A successor to the extremely popular Essentials of WISC-III/WPPSI-R Assessment(0-471-34501-6), Essentials of WISC-IV Assessment provides beginning and seasoned clinicians comprehensive guidelines to administering, scoring, and interpreting the latest revision of the Wechsler Intelligence Scales for Children. Featuring the popular Essentials format of call-out boxes, Test Yourself questions and step-by-step instructions, this handy resource also includes strengths and weaknesses of the instrument, practical clinical applications, and illustrative case reports. This detailed guide to using this immensely popular measure of intelligence is a must-have for anyone involved in the psychological testing of children.
Book Synopsis International Perspectives on Teaching and Learning Mathematics with Virtual Manipulatives by : Patricia S. Moyer-Packenham
Download or read book International Perspectives on Teaching and Learning Mathematics with Virtual Manipulatives written by Patricia S. Moyer-Packenham and published by Springer. This book was released on 2016-06-21 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores terminology, frameworks, and research being conducted worldwide on virtual manipulatives. It brings together international authors who provide their perspectives on virtual manipulatives in research and teaching. By defining terminology, explaining conceptual and theoretical frameworks, and reporting research, the authors provide a comprehensive foundation on the study and use of virtual manipulatives for mathematics teaching and learning. This foundation provides a common way for researchers to communicate about virtual manipulatives and build on the major works that have been conducted on this topic. By discussing these big ideas, the book advances knowledge for future research on virtual manipulatives as these dynamic tools move from computer platforms to hand-held, touch-screen, and augmented platforms.
Book Synopsis Encyclopedia of Special Education by : Cecil R. Reynolds
Download or read book Encyclopedia of Special Education written by Cecil R. Reynolds and published by John Wiley & Sons. This book was released on 2007-01-02 with total page 809 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers a thoroughly revised, comprehensive A to Z compilation of authoritative information on the education of those with special needs.
Book Synopsis Contemporary Intellectual Assessment by : Dawn P. Flanagan
Download or read book Contemporary Intellectual Assessment written by Dawn P. Flanagan and published by Guilford Publications. This book was released on 2018-09-17 with total page 1153 pages. Available in PDF, EPUB and Kindle. Book excerpt: This leading practitioner reference and text--now in a revised and expanded fourth edition--provides the knowledge needed to use state-of-the-art cognitive tests with individuals of all ages, from preschoolers to adults. The volume examines major theories and tests of intelligence (in chapters written by the theorists and test developers themselves) and presents research-based approaches to test interpretation. Contributors address critical issues in evaluating culturally and linguistically diverse students, gifted students, and those with intellectual disability, sensory–motor impairments, traumatic brain injuries, and learning difficulties and disabilities. The fourth edition highlights the use of cognitive test results in planning school-based interventions. New to This Edition *Complete coverage of new or updated tests: WPPSI-IV, WISC-V, WISC-V Integrated, WJ IV, ECAD, CAS2, RIAS-2, KABC-II Normative Update, and UNIT2. *Chapters on cutting-edge approaches to identifying specific learning disabilities and reading disorders. *Chapters on brain imaging, neuropsychological intervention in schools, adult intellectual development, and DSM-5 criteria for learning disorders. *Updated chapters on theories of intelligence, their research base, and their clinical utility in guiding cognitive and neuropsychological assessment practice.
Book Synopsis Current Practices in Quantitative Literacy by : Rick Gillman
Download or read book Current Practices in Quantitative Literacy written by Rick Gillman and published by MAA. This book was released on 2006 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a wide sampling of efforts being made on campuses across the country to achieve our common goal of having a quantitatively literate citizenry.
Book Synopsis The Disorder of Mathematics Education by : Hauke Straehler-Pohl
Download or read book The Disorder of Mathematics Education written by Hauke Straehler-Pohl and published by Springer. This book was released on 2016-08-23 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research within a socio-political paradigm or “turn” has been gradually recognized and institutionalized as an important part of mathematics education. This book focuses on the neglected problems, tensions and contradictions evoked by this process. The authors do this by challenging current regimes of truth about mathematics education; by identifying how recent technological developments challenge or suspend contemporary conceptions of mathematics education; by critiquing the ideological entanglement of mathematics, its education and schooling with capitalism; by self-reflective analyses of researchers' impacts on shaping what is and can be perceived as the practice of mathematics education (research); and by confronting main-stream mathematics education with socio-political contexts that are usually neglected. In this way, "mathematical rationality" becomes contextualized within contemporary society, where it reproduces itself through technologies, social practices, media and other spheres of social life.
Author :Christopher Hian Ann Ting Publisher :World Scientific Publishing Company ISBN 13 :9814704326 Total Pages :272 pages Book Rating :4.8/5 (147 download)
Book Synopsis An Introduction to Quantitative Finance by : Christopher Hian Ann Ting
Download or read book An Introduction to Quantitative Finance written by Christopher Hian Ann Ting and published by World Scientific Publishing Company. This book was released on 2015-09-16 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise textbook provides a unique framework to introduce Quantitative Finance to advanced undergraduate and beginning postgraduate students. Inspired by Newton's three laws of motion, three principles of Quantitative Finance are proposed to help practitioners also to understand the pricing of plain vanilla derivatives and fixed income securities. The book provides a refreshing perspective on Box's thesis that "all models are wrong, but some are useful." Being practice- and market-oriented, the author focuses on financial derivatives that matter most to practitioners. The three principles of Quantitative Finance serve as buoys for navigating the treacherous waters of hypotheses, models, and gaps between theory and practice. The author shows that a risk-based parsimonious model for modeling the shape of the yield curve, the arbitrage-free properties of options, the Black-Scholes and binomial pricing models, even the capital asset pricing model and the Modigliani-Miller propositions can be obtained systematically by applying the normative principles of Quantitative Finance.
