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Assessment in Mathematics Education Contexts by Jonathan D. Bostic,Erin E. Krupa,Jeffrey C. Shih Pdf
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.
Assessment in Mathematics Education by Christine Suurtamm,Denisse R. Thompson,Rae Young Kim,Leonora Diaz Moreno,Nathalie Sayac,Stanislaw Schukajlow,Edward Silver,Stefan Ufer,Pauline Vos Pdf
This book provides an overview of current research on a variety of topics related to both large-scale and classroom assessment. First, the purposes, traditions and principles of assessment are considered, with particular attention to those common to all levels of assessment and those more connected with either classroom or large-scale assessment. Assessment design based on sound assessment principles is discussed, differentiating between large-scale and classroom assessment, but also examining how the design principles overlap. The focus then shifts to classroom assessment and provides specific examples of assessment strategies, before examining the impact of large-scale assessment on curriculum, policy, instruction, and classroom assessment. The book concludes by discussing the challenges that teachers currently face, as well as ways to support them. The book offers a common language for researchers in assessment, as well as a primer for those interested in understanding current work in the area of assessment. In summary, it provides the opportunity to discuss large-scale and classroom assessment by addressing the following main themes: ·Purposes, Traditions and Principles of Assessment ·Design of Assessment Tasks ·Classroom Assessment in Action ·Interactions of Large-Scale and Classroom Assessment ·Enhancing Sound Assessment Knowledge and Practices It also suggests areas for future research in assessment in mathematics education.
Quantitative Measures of Mathematical Knowledge by Jonathan Bostic,Erin Krupa,Jeffrey Shih Pdf
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.
Investigations into Assessment in Mathematics Education by M. Niss Pdf
This book is one of the first to attempt a systematic in-depth analysis of assessment in mathematics education in most of its important aspects: it deals with assessment in mathematics education from historical, psychological, sociological, epistmological, ideological, and political perspectives. The book is based on work presented at an invited international ICMI seminar and includes chapters by a team of outstanding and prominent scholars in the field of mathematics education. Based on the observation of an increasing mismatch between the goals and accomplishments of mathematics education and prevalent assessment modes, the book assesses assessment in mathematics education and its effects. In so doing it pays particular attention to the need for and possibilities of assessing a much wider range of abilities than before, including understanding, problem solving and posing, modelling, and creativity. The book will be of particular interest to mathematics educators who are concerned with the role of assessment in mathematics education, especially as regards innovation, and to everybody working within the field of mathematics education and related areas: in R&D, curriculum planning, assessment institutions and agencies, teacher trainers, etc.
Latinos/as and Mathematics Education by Kip Téllez,Judit N. Moschkovich,Marta Civil Pdf
This book that explores the mathematics education of Latinos/as in 13 original research studies. Each chapter represents research that grounds mathematics instruction for Latinos/as in the resources to be found in culture and language. By inverting the deficit perspective, this volume redresses the shortcomings found in the previous literature on Latino/a learners. Each study frames language (e.g. bilingualism) not as an obstacle to learning, but as a resource for mathematical reasoning. Other chapters explore the notion of cultural variation not as a liability but as a tool for educators to build upon in the teaching of mathematics. Specifically, the book reframes culture as a focus on the practices, objects, inscriptions, or people that connect mathematical concepts to student thinking and experiences, both in and out of school. The book's four sections divide the research: The first section of the book focuses on mathematic learning in classrooms, specifically exploring bilingual, Latino/a students; the second section explores Latino/a learners in communities, including the role parents can play in advancing learning; the third section includes chapters focused on teacher professional growth; the final section concerns the assessment (and mis-assessment) of Latino/a learners. The research shared in this volume provides ample evidence that mathematics educators who choose to ignore language or culture in their pedagogy risk shortchanging their Latino/a students.
Classroom Assessment in Mathematics by Denisse R. Thompson,Megan Burton,Annalisa Cusi,David Wright Pdf
This book consists of 13 papers developed by participants in the ICME 13 Topic Study Group 40 on Classroom Assessment. The individual papers discuss various aspects of classroom assessment, focusing particularly on formative assessment as assessment for learning, and are grouped into four main sections: Examples of Classroom Assessment in Action, Technology as a Tool for Classroom Assessment, Statistical Models for Formative Assessment, and Engaging Teachers in Formative Assessment. The book opens with a brief discussion of the use of formative assessment as a critical component of the teaching–learning process and concludes with an overview of lessons learned and ideas for future research. It is of interest to classroom teachers, university teacher educators, professional development providers and school supervisors.
National Reflections on the Netherlands Didactics of Mathematics by Marja Van den Heuvel-Panhuizen Pdf
This open access book, inspired by the ICME 13 Thematic Afternoon on “European Didactic Traditions”, consists of 17 chapters, in which educators from the Netherlands reflect on the teaching and learning of mathematics in their country and the role of the Dutch domain-specific instruction theory of Realistic Mathematics Education. Written by mathematics teachers, mathematics teacher educators, school advisors, and developers and researchers in the field of instructional material, textbooks, and examinations, the book offers a multitude of perspectives on important issues in Dutch mathematics education, both at primary and secondary school levels. Topics addressed include the theoretical underpinnings of the Dutch approach, the subject of mathematics in the Dutch educational system, teacher education and testing, the history of mathematics education and the use of history in teaching of mathematics, changes over time in subject matter domains and in the use of technology, and the process of innovation and how the Dutch and in particular one Dutch institute have worked on the reform.
The Proceedings of the 12th International Congress on Mathematical Education by Sung Je Cho Pdf
This book comprises the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 3500 experts from 92 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. This work aims to serve as a platform for deeper, more sensitive and more collaborative involvement of all major contributors towards educational improvement and in research on the nature of teaching and learning in mathematics education. It introduces the major activities of ICME-12 which have successfully contributed to the sustainable development of mathematics education across the world. The program provides food for thought and inspiration for practice for everyone with an interest in mathematics education and makes an essential reference for teacher educators, curriculum developers and researchers in mathematics education. The work includes the texts of the four plenary lectures and three plenary panels and reports of three survey groups, five National presentations, the abstracts of fifty one Regular lectures, reports of thirty seven Topic Study Groups and seventeen Discussion Groups.
Teaching on Assessment by Sharon L. Nichols,Divya Varier Pdf
In an age where the quality of teacher education programs has been called into question, it is more important than ever that teachers have a fundamental understanding of the principles of human learning, motivation, and development. Theory to Practice: Educational Psychology for Teachers and Teaching is a series for those who teach educational psychology in teacher education programs. At a time when educational psychology is at risk of becoming marginalized, it is imperative that we, as educators, “walk our talk” in serving as models of what effective instruction looks like. Each volume in the series draws upon the latest research to help instructors model fundamental principles of learning, motivation, and development to best prepare their students for the diverse, multidimensional, uncertain, and socially-embedded environments in which these future educators will teach. The inaugural volume, Teaching on Assessment, is centered on the role of assessment in teaching and learning. Each chapter translates current research on critical topics in assessment for educational psychology instructors and teacher educators to consider in their teaching of future teachers. Written for practitioners, the aim is to present contemporary issues and ideas that would help teachers engage in meaningful assessment practice. This volume is important not only because of the dwindling presence of assessment-related instructional content in teacher preparation programs, but also because the policy changes in the last two decades have transformed the meaning and use of assessment in K-12 classrooms. Praise for Teaching on Assessment "This thought-provoking book brings together perspectives from educational psychology and teacher education to examine how assessment can best support student motivation, engagement, and learning. In the volume, editors Nichols and Varier present a set of chapters written by leaders in the field to examine critical questions about how to best prepare teachers to make instructional decisions, understand assessment within the context of learning and motivation theory, and draw on assessment in ways which can meet the needs of diverse learners. Written in a highly accessible language and style, each chapter contains clear takeaway messages designed for educational psychologists, teacher educators, teachers, and pre-service teachers. This book is essential reading for anyone involved in teaching or developing our future teaching professionals." Lois R. Harris, Australian Catholic University "This impressive book provides a wealth of contemporary and engaging resources, ideas and perspectives that educational psychology instructors will find relevant for helping students understand the complexity of assessment decision-making as an essential component of instruction. Traditional assessment principles are integrated with contemporary educational psychology research that will enhance prospective teachers’ decision-making about classroom assessments that promote all students’ learning and motivation. It is unique in showing how to best leverage both formative and summative assessment to boost student engagement and achievement, enabling students to understand how to integrate practical classroom constraints and realities with current knowledge about self-regulation, intrinsic motivation, and other psychological constructs that assessment needs to consider. The chapters are written by established experts who are able to effectively balance presentation of research and theory with practical applications. Notably, the volume includes very important topics rarely emphasized in other assessment texts, including assessment literacy frameworks, diversity, equity, assessment strategies for students with special needs, and data-driven decision making. The book will be an excellent supplement for educational psychology classes or for assessment courses, introducing students to current thinking about how to effectively integrate assessment with instruction." James McMillan, Virginia Commonwealth University.
Mapping Equity and Quality in Mathematics Education by Bill Atweh,Mellony Graven,Walter Secada,Paola Valero Pdf
Concerns about quality mathematics education are often posed in terms of the types of mathematics that are worthwhile and valuable for both the student and society in general, and about how to best support students so that they can develop this mathematics. Concerns about equity are about who is excluded from the opportunity to develop quality mathematics within our current practices and systems, and about how to remove social barriers that systematically disadvantage those students. This collection of chapters summarises our learning about the achievement of both equity and quality agendas in mathematics education and to move forward the debate on their importance for the field.
Cases of Assessment in Mathematics Education by M. Niss Pdf
The present book, Cases of Assessment in Mathematics Education, is one of two studies resulting from an ICMI Study Conference on Assessment in Mathematics Education and Its Effects. The book which is published in the series of ICMI Studies under the general editorship of the President and Secretary of ICMI is closely related to another study resulting from the same conference: Investigations into Assessment in Mathematics Education (Niss, 1992). The two books, although originating from the same sources and having the same editor, emphasize different aspects of assessment in mathematics education and can be read independently of one another. While the present book is devoted to presenting and discussing cases of assessment that are actually implemented, the other study attempts to critically analyze general and principal aspects of assessment. Naturally, the content of either book is enriched by the materials and perspectives provided by the other one. In order to put this book and its background into context, the nature and scope of the ICMI studies are outlined briefly below.
Assessing Contexts of Learning by Susanne Kuger,Eckhard Klieme,Nina Jude,David Kaplan Pdf
This volume brings together educational effectiveness research and international large-scale assessments, demonstrating how the two fields can be applied to inspire and improve each other, and providing readers direct links to instruments that cover a broad range of topics and have been shown to work in more than 70 countries. The book’s initial chapters introduce and summarize recent discussions and developments in the conceptualization, implementation, and evaluation of international large-scale context assessments and provide an outlook on possible future developments. Subsequently, three thematic sections – “Student Background”, “Outcomes of Education Beyond Achievement”, and “Learning in Schools” – each present a series of chapters that provide the conceptual background for a wide range of important topics in education research, policy, and practice. Each chapter defines a conceptual framework that relates recent findings in the educational effectiveness research literature to current issues in education policy and practice. These frameworks were used to develop interesting and relevant indicators that may be used for meaningful reporting from international assessments, other cross-cultural research, or national studies. Using the example of one particular survey (the Programme for International Student Assessment (PISA 2015)), this volume links all theoretical considerations to fully developed questionnaire material that was field trailed and evaluated in questionnaires for students and their parents as well as teachers and principals in their schools. The primary purposes of this book are to inform readers about how education effectiveness research and international large-scale assessments are already interacting to inform research and policymaking; to identify areas where a closer collaboration of both fields or input from other areas could further improve this work; to provide sound theoretical frameworks for future work in both fields; and finally to relate these theoretical debates to currently available and evaluated material for future context assessments.
Mathematics Education in Brazil by Alessandro Jacques Ribeiro,Lulu Healy,Rute Elizabete de Souza Rosa Borba,Solange Hassan Ahmad Ali Fernandes Pdf
This book presents, for the first time in English, the state of the art of Mathematics Education research in Brazil, a country that has the strongest community in this field in Latin America. Edited by leading researchers in the area, the volume provides the international academic community a summary of the scientific production of the thirteen working groups of the Brazilian Society of Mathematics Education (SBEM), the national scientific society that brings together researchers, teachers, students and other professionals of the area. These working groups meet every three years at the International Seminar of Mathematics Education (SIPEM) and cover the following topics: Mathematics Education in the Early Years and Primary Education (Y1-Y5); Mathematics Education in the Middle School (Y6-Y9); Mathematics Education in the High School (Y10-Y12); Mathematics Education at the University level; History of Mathematics, Culture and Mathematics Education; Digital Technologies and Distance Education; Teacher Education; Assessment and Mathematics Education; Cognitive and Linguistic Processes in Mathematics Education; Mathematical Modeling; Philosophy of Mathematics Education, Teaching Probability and Statistics; and Difference, Inclusion and Mathematics Education. Each chapter of the book presents an overview of the production of a working group and they are all preceded by an introduction by professor Ubiratan D’Ambrosio, one of the pioneers of Mathematics Education in Brazil.
The AMTE Handbook of Mathematics Teacher Education by Babette M. Benken Pdf
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.
Assessing Mathematical Proficiency by Alan H. Schoenfeld Pdf
Testing matters! It can determine kids' and schools' futures. In a conference at the Mathematical Sciences Research Institute, mathematicians, maths education researchers, teachers, test developers, and policymakers gathered to work through critical issues related to mathematics assessment. They examined: the challenges of assessing student learning in ways that support instructional improvement; ethical issues related to assessment, including the impact of testing on urban and high-poverty schools; the different (and sometimes conflicting) needs of the different groups; and different frameworks, tools, and methods for assessment, comparing the kinds of information they offer about students' mathematical proficiency. This volume presents the results of the discussions. It highlights the kinds of information that different assessments can offer, including many examples of some of the best mathematics assessments worldwide. A special feature is an interview with a student about his knowledge of fractions and a demonstration of what interviews (versus standardized tests) can reveal.