Assessment Of Authentic Performance In School Mathematics

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Assessment Of Authentic Performance In School Mathematics
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Author : Richard A. Lesh
language : en
Publisher: Routledge
Release Date : 2013-04-03
Assessment Of Authentic Performance In School Mathematics written by Richard A. Lesh and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-03 with Education categories.
This book is the result of a conference sponsored by the Educational Testing Service and the University of Wisconsin's National Center for Research in Mathematical Sciences Education. The purpose of the conference was to facilitate the work of a group of scholars whose interests included the assessment of higher-order understandings and processes in foundation-level (pre-high school) mathematics. Discussions focused on such issues as the purposes of assessment, guidelines for producing and scoring "real-life" assessment activities, and the meanings of such terms as "deeper and higher-order understanding," "cognitive objectives," and "authentic mathematical activities." Assessment was viewed as a critical component of complex, dynamic, and continually adapting educational systems. During the time that the chapters in this book were being written, sweeping changes in mathematics education were being initiated in response to powerful recent advances in technology, cognitive psychology, and mathematics, as well as to numerous public demands for educational reform. These changes have already resulted in significant reappraisals of what it means to understand mathematics, of the nature of mathematics teaching and learning, and of the real-life situations in which mathematics is useful. The challenge was to pursue assessment-related initiatives that are systematically valid, in the sense that they work to complement and enhance other improvements in the educational system rather than act as an impediment to badly needed curriculum reforms. To address these issues, most chapters in this book focus on clarifying and articulating the goals of assessment and instruction, and they stress the content of assessment above its mode of delivery. Computer- or portfolio-based assessments are interpreted as means to ends, not as ends in themselves. Assessment is conceived as an ongoing documentation process, seamless with instruction, whose quality hinges upon its ability to provide complete and appropriate information as needed to inform priorities in instructional decision making. This book tackles some of the most complicated issues related to assessment, and it offers fresh perspectives from leaders in the field--with the hope that the ultimate consumer in the instruction/assessment enterprise, the individual student, will reclaim his or her potential for self-directed mathematics learning.
Assessment In Mathematics Education
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Author : Christine Suurtamm
language : en
Publisher: Springer
Release Date : 2016-07-07
Assessment In Mathematics Education written by Christine Suurtamm and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-07 with Education categories.
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.
Assessment In Middle And High School Mathematics
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Author : Daniel Brahier
language : en
Publisher: Routledge
Release Date : 2013-10-30
Assessment In Middle And High School Mathematics written by Daniel Brahier and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-30 with Education categories.
It describes each strategy and clarifies its advantages and drawbacks. Also included is a large sample of classroom-tested examples along with sample student responses. These examples can be used "as is" - or you can customize them for your own class. This book will help prepare your students for standardized tests that include items requiring evidence of conceptual understanding. The strategies reflect the assessment Standards benchmarks established by the NCTM. In addition, an entire chapter is devoted to help teachers use these assessments to arrive at their students' grades.
Mathematics Assessment And Evaluation
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Author : Thomas A. Romberg
language : en
Publisher: SUNY Press
Release Date : 1992-01-01
Mathematics Assessment And Evaluation written by Thomas A. Romberg and has been published by SUNY Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-01-01 with Mathematics categories.
Are current testing practices consistent with the goals of the reform movement in school mathematics? If not, what are the alternatives? How can authentic performance in mathematics be assessed? These and similar questions about tests and their uses have forced those advocating change to examine the way in which mathematical performance data is gathered and used in American schools. This book provides recent views on the issues surrounding mathematics tests, such as the need for valid performance data, the implications of the Curriculum and Evaluation Standards for School Mathematics for test development, the identification of valid items and tests in terms of the Standards, the procedures now being used to construct a sample of state assessment tests, gender differences in test taking, and methods of reporting student achievement.
Teaching Secondary And Middle School Mathematics
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Author : Daniel J. Brahier
language : en
Publisher: Routledge
Release Date : 2016-02-12
Teaching Secondary And Middle School Mathematics written by Daniel J. Brahier and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-12 with Education categories.
Teaching Secondary and Middle School Mathematics combines the latest developments in research, standards, and technology with a vibrant writing style to help teachers prepare for the excitement and challenges of teaching secondary and middle school mathematics today. In the fully revised fifth edition, scholar and mathematics educator Daniel Brahier invites teachers to investigate the nature of the mathematics curriculum and reflect on research-based "best practices" as they define and sharpen their own personal teaching styles. The fifth edition has been updated and expanded with a particular emphasis on the continued impact of the Common Core State Standards for Mathematics and NCTM’s just-released Principles to Actions, as well as increased attention to teaching with technology, classroom management, and differentiated instruction. Features include: A full new Chapter 7 on selection and use of specific tools and technology combined with "Spotlight on Technology" features throughout clearly illustrate the practical aspects of how technology can be used for teaching or professional development. Foundational Chapters 1 and 2 on the practices and principles of mathematics education have been revised to build directly on Common Core State Standards for Mathematics and Principles to Actions, with additional references to both documents throughout all chapters. A new Chapter 4 focuses on the use of standards in writing objectives and organizing lesson plan resources while an updated Chapter 5 details each step of the lesson planning process. A fully revised Chapter 12 provides new information on teaching diverse populations and outlines specific details and suggestions for classroom management for mathematics teachers. Classroom Dialogues" features draws on the author’s 35-year experience as an educator to present real-world teacher-student conversations about specific mathematical problems or ideas "How Would You React?" features prepares future teachers for real-life scenarios by engaging them in common classroom situations and offering tried-and-true solutions. With more than 60 practical, classroom-tested teaching ideas, sample lesson and activities, Teaching Secondary and Middle School Mathematics combines the best of theory and practice to provide clear descriptions of what it takes to be an effective teacher of mathematics.
Assessment Standards For School Mathematics
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Author : National Council of Teachers of Mathematics
language : en
Publisher: National Council of Teachers of Mathematics
Release Date : 1995
Assessment Standards For School Mathematics written by National Council of Teachers of Mathematics and has been published by National Council of Teachers of Mathematics this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Education categories.
This document was created because of the need for new assessment strategies and practices to be developed to enable teachers and others to assess students' performance in a manner that reflects the NCTM's reform vision for school mathematics. Instead of assuming that the purpose of assessment is to rank students on a particular trait, the new approach assumes that high public expectations can be set that every student can strive for and achieve, that different performances can and will meet agreed-on expectations, and that teachers can be fair and consistent judges of diverse student performances. The first sections of the document discuss six mathematics assessment standards: (1) The Mathematics Standard, (2) The Learning Standard, (3) The Equity Standard, (4) The Openness Standard, (5) The Inferences Standard, and (6) The Coherence Standard. The use of the assessment standards is then discussed in the context of different purposes such as monitoring students' progress, making instructional decisions, evaluating students' achievement, and evaluating programs. The next section discusses what should happen next with regard to mathematical assessment. The document concludes with a glossary and a selected assessment bibliography with 116 citations. Contains 28 references. (MKR)
International Handbook Of Mathematics Teacher Education Volume 1
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Author :
language : en
Publisher: BRILL
Release Date : 2019-12-02
International Handbook Of Mathematics Teacher Education Volume 1 written by and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-02 with Education categories.
This second edition of the International Handbook of Mathematics Teacher Education builds on and extends the topics/ideas in the first edition while maintaining the themes for each of the volumes. Collectively, the authors looked back beyond and within the last 10 years to establish the state-of-the-art and continuing and new trends in mathematics teacher and mathematics teacher educator education, and looked forward regarding possible avenues for teachers, teacher educators, researchers, and policy makers to consider to enhance and/or further investigate mathematics teacher and teacher educator learning and practice, in particular. The volume editors provide introductions to each volume that highlight the subthemes used to group related chapters, which offer meaningful lenses to see important connections within and across chapters. Readers can also use these subthemes to make connections across the four volumes, which, although presented separately, include topics that have relevance across them since they are all situated in the common focus regarding mathematics teachers. Volume 1, Knowledge, Beliefs, and Identity in Mathematics Teaching and Teaching Development, edited by Despina Potari and Olive Chapman, examines teacher knowledge, beliefs, identity, practice and relationships among them. These important aspects of mathematics teacher education continue to be the focus of extensive research and policy debate globally. Thus, as the first volume in the series, it appropriately addresses central topics/issues that provide an excellent beginning to engage in the field of mathematics education through the handbook. Contributors are: Jill Adler, Mike Askew, Maria Bartolini Bussi, Anne Bennison, Kim Beswick, Olive Chapman, Charalambos Charalambus, Helen Chick, Marta Civil, Sandra Crespo, Sean Delaney, Silvia Funghi, Merrilyn Goos, Roberta Hunter, Barbara Jaworski, Kim Koh, Esther S. Levenson, Yeping Li, Niamh O’ Meara, JoengSuk Pang, Randolph Phillipp, Despina Potari, Craig Pournara, Stephen Quirke, Alessandro Ramploud, Tim Rowland, John (Zig) Siegfried, Naiqing Song, Konstantinos Stouraitis, Eva Thanheiser, Collen Vale, Hamsa Venkat, and Huirong Zhang.
Designing Authentic Performance Tasks And Projects
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Author : Jay McTighe
language : en
Publisher: ASCD
Release Date : 2020-02-18
Designing Authentic Performance Tasks And Projects written by Jay McTighe and has been published by ASCD this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-18 with Education categories.
Aimed at the growing number of educators who are looking to move beyond covering the curriculum, Designing Authentic Performance Tasks and Projects provides a comprehensive guide to ensuring students' deeper learning—in which they can transfer their knowledge, skills, and understandings to the world beyond the classroom. Readers will learn how to * Create authentic tasks and projects to address both academic standards and 21st century skills. * Apply task frames to design performance tasks that allow voice and choice for students. * Design and use criterion-based evaluation tools and rubrics for assessment, including those for students to use in self-assessment and peer assessment. * Incorporate performance-based instructional strategies needed to prepare students for authentic performance. * Differentiate tasks and projects for all students, including those needing additional support or challenge. * Effectively manage the logistics of a performance-based classroom. * Use project management approaches to facilitate successful implementation of tasks and projects. * Develop performance-based curriculum at the program, school, and district levels. Authors Jay McTighe, Kristina J. Doubet, and Eric M. Carbaugh provide examples and resources across all grade levels and subject areas. Teachers can use this practical guidance to transform their classrooms into vibrant centers of learning, where students are motivated and engaged and see relevance in the work they are doing.
The Math We Need To Know And Do In Grades Prek 5
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Author : Pearl Gold Solomon
language : en
Publisher: Corwin Press
Release Date : 2006-06-14
The Math We Need To Know And Do In Grades Prek 5 written by Pearl Gold Solomon and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-14 with Education categories.
"I will be quoting many of the key points presented in the book often to others in my school." -Carol Amos, Teacher Leader/Mathematics Coordinator Twinfield Union School, Plainfield, VT "A wonderful resource for readers who will be developing curriculum and lessons. Each content branch is clearly explained and has examples for easy development. Professionals will be able to easily build further examples." -Joseph DiGarbo, Teacher Mohegan Elementary School, Uncasville, CT "Makes a distinct contribution to the field of mathematics, explaining in clear language the relevance of the various concepts as they apply to elementary mathematics curricula." -Melissa Miller, TeacherRandall G. Lynch Middle School, Farmington, AR Strengthen your math instruction and assessments with these standards-based, learner-friendly tools! This updated and expanded new edition provides elementary math teachers with a step-by-step approach to planning standards-based curriculum, instruction, and now assessment, too. Pearl Gold Solomon covers the essential concepts and skills defined by the National Council of Teachers of Mathematics (NCTM) using a simple-to-follow matrix that aligns activities and problems for the classroom with specific NCTM standards, and then provides appropriate assessments for each. An essential handbook for grades PreK-5, it provides detailed guidance, sample activities, problems, and assessments, all grade appropriate and ready to use. Highlights include a rubric, test specifications, other assessment resources, suggestions for working with manipulatives, calculators, educational software and graphics programs, and Web sites. Teachers will find this invaluable when they: Review their own knowledge of mathematical concepts Plan curriculum for a specific lesson, grade level, or an entire school Respond to individual conceptual or procedural challenges among their learners Assess student knowledge, both formally and informally As always, Solomon turns confusing pedagogy into accessible instruction, giving new teachers clarity and experienced teachers a base that can easily be built upon. This is an indispensable resource for instructional leaders, district planners, staff developers, math coaches, and individual teachers seeking to enhance their instructional repertoire.
Handbook Of Research Design In Mathematics And Science Education
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Author : Anthony Edward Kelly
language : en
Publisher: Taylor & Francis
Release Date : 2012-10-12
Handbook Of Research Design In Mathematics And Science Education written by Anthony Edward Kelly and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-12 with Education categories.
The Handbook of Research Design in Mathematics and Science Education is based on results from an NSF-supported project (REC 9450510) aimed at clarifying the nature of principles that govern the effective use of emerging new research designs in mathematics and science education. A primary goal is to describe several of the most important types of research designs that: * have been pioneered recently by mathematics and science educators; * have distinctive characteristics when they are used in projects that focus on mathematics and science education; and * have proven to be especially productive for investigating the kinds of complex, interacting, and adapting systems that underlie the development of mathematics or science students and teachers, or for the development, dissemination, and implementation of innovative programs of mathematics or science instruction. The volume emphasizes research designs that are intended to radically increase the relevance of research to practice, often by involving practitioners in the identification and formulation of the problems to be addressed or in other key roles in the research process. Examples of such research designs include teaching experiments, clinical interviews, analyses of videotapes, action research studies, ethnographic observations, software development studies (or curricula development studies, more generally), and computer modeling studies. This book's second goal is to begin discussions about the nature of appropriate and productive criteria for assessing (and increasing) the quality of research proposals, projects, or publications that are based on the preceding kind of research designs. A final objective is to describe such guidelines in forms that will be useful to graduate students and others who are novices to the fields of mathematics or science education research. The NSF-supported project from which this book developed involved a series of mini conferences in which leading researchers in mathematics and science education developed detailed specifications for the book, and planned and revised chapters to be included. Chapters were also field tested and revised during a series of doctoral research seminars that were sponsored by the University of Wisconsin's OERI-supported National Center for Improving Student Learning and Achievement in Mathematics and Science. In these seminars, computer-based videoconferencing and www-based discussion groups were used to create interactions in which authors of potential chapters served as "guest discussion leaders" responding to questions and comments from doctoral students and faculty members representing more than a dozen leading research universities throughout the USA and abroad. A Web site with additional resource materials related to this book can be found at http://www.soe.purdue.edu/smsc/lesh/ This internet site includes directions for enrolling in seminars, participating in ongoing discussion groups, and submitting or downloading resources which range from videotapes and transcripts, to assessment instruments or theory-based software, to publications or data samples related to the research designs being discussed.