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Reform in School Mathematics and Authentic Assessment

Reform in School Mathematics and Authentic Assessment
Author: Thomas A. Romberg
Publisher: SUNY Press
Total Pages: 304
Release: 1995-01-01
Genre: Education
ISBN: 9780791421611

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Today new ways of thinking about learning call for new ways for monitoring learning. Reform in School Mathematics builds from the vision that assessment can become the bridge for instructional activity, accountability, and teacher development. It places teachers in key roles while developing the theme that we cannot reform the way in which school mathematics is taught without radically reforming the ways the effects of that teaching are monitored. Among others, this volume addresses the issues of the specification of performance standards, the development of authentic tasks, the measure of status and growth or a combination, the development of psychometric models, and the development of scoring rubrics. The new models proposed in this book give teachers a wealth of nontraditional assessment strategies and concrete ways to obtain measures of both group and individual differences in growth.


Mathematics Assessment and Evaluation

Mathematics Assessment and Evaluation
Author: Thomas A. Romberg
Publisher: SUNY Press
Total Pages: 380
Release: 1992-01-01
Genre: Mathematics
ISBN: 9780791408995

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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.


Assessment of Authentic Performance in School Mathematics

Assessment of Authentic Performance in School Mathematics
Author: Richard A. Lesh
Publisher: Routledge
Total Pages: 468
Release: 2013-04-03
Genre: Education
ISBN: 1136489460

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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.


Experiencing School Mathematics

Experiencing School Mathematics
Author: Jo Boaler
Publisher:
Total Pages: 180
Release: 1997
Genre: Education
ISBN:

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This is the first book of its kind to provide direct evidence for the effectiveness of traditional and progressive teaching methods. It reports on careful and extensive case studies of two schools which taught mathematics in totally different ways. Three hundred students were followed over three years and the interviews that are reproduced in the book give compelling insights into what it meant to be a student in the classrooms of the two schools. The different school approaches are compared and analyzed using student interviews, lesson observations, questionnaires given to students and staff and a range of different assessments, including GCSE examinations. Questions are raised about the effectiveness of different teaching methods in preparing students for the demands of the 'real world' and the 21st century, the impact of setted and mixed ability teaching upon student attitude and achievement, and gender and learning styles. New evidence is provided for each of these issues. The book draws some radical new conclusions about the ways that traditional teaching methods lead to limited forms of knowledge that are ineffective in non-school settings. The book will be essential reading for math teachers, parents, and policy makers in education.


Experiencing School Mathematics

Experiencing School Mathematics
Author: Jo Boaler
Publisher: Routledge
Total Pages: 217
Release: 2002-12-18
Genre: Education
ISBN: 1135642419

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NORTH AMERICAN RIGHTS ONLY: This is a revised edition of Experiencing School Mathematics first published in 1997 by Open University Press, © Jo Boaler. This revised edition is for sale in North America only. The first book to provide direct evidence for the effectiveness of traditional and reform-oriented teaching methods, Experiencing School Mathematics reports on careful and extensive case studies of two schools that taught mathematics in totally different ways. Three hundred students were followed over three years, providing an unusual and important range of data, including observations, interviews, questionnaires, and assessments, to show the ways students' beliefs and understandings were shaped by the different approaches to mathematics teaching. The interviews that are reproduced in the book give compelling insights into what it meant to be a student in the classrooms of the two schools. Questions are raised about and new evidence is provided for: * the ways in which "traditional" and "reform oriented" mathematics teaching approaches can impact student attitude, beliefs, and achievement; *the effectiveness of different teaching methods in preparing students for the demands of the "real world" and the 21st century; *the impact of tracking and heterogeneous ability grouping; and *gender and teaching styles--the potential of different teaching approaches for the attainment of equity. The book draws some radical new conclusions about the ways that traditional teaching methods lead to limited forms of knowledge that are ineffective in non-school settings. This edition has been revised for the North American market to show the relevance of the study results in light of the U.S. reform movement, the "math wars" and debates about teachers, assessment, and tracking. The details of the study have been rewritten for an American audience and the results are compared with research conducted in the U.S. This is an important volume for mathematics teachers and researchers, education policymakers, and for students in mathematics education courses. NOTE: This is a revised edition of Experiencing School Mathematics first published in 1997 by Open University Press, © Jo Boaler. This revised edition is for sale in North America only.


The Dimensions of Time and the Challenge of School Reform

The Dimensions of Time and the Challenge of School Reform
Author: Patricia C. Gandara
Publisher: SUNY Press
Total Pages: 276
Release: 2000-01-01
Genre: Education
ISBN: 9780791443583

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Annotation. As the education reform movement matures into its second decade, it is clear that many promising efforts have fallen short in their attempts to create real school change. One reason for this is that the process of school reform is much more complex than most reformers realized or were willing to acknowledge. The Dimensions of Time and the Challenge of School Reform points to another problem--the problem of time--and its role in both the success and failure of school reform efforts. The importance of understanding the role that time plays in both learning and instruction and finding ways to provide time for teachers grappling with change and students learning to accommodate a new language and culture are important themes in this book. This book is directed to policymakers and practitioners as well as to academics in that it combines theory with the "real world" experiences of many who have been active in the school reform movement and who have learned, through trial and error, how to think about time in innovative ways. Book jacket.


Assessment Standards for School Mathematics

Assessment Standards for School Mathematics
Author: National Council of Teachers of Mathematics
Publisher: National Council of Teachers of Mathematics
Total Pages: 120
Release: 1995
Genre: Education
ISBN:

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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)


Science Assessment in the Service of Reform

Science Assessment in the Service of Reform
Author: Gerald Kulm
Publisher:
Total Pages: 424
Release: 1991
Genre: Science
ISBN:

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Students in America don't measure up in science and mathematics, a problem especially critical in a society which is becoming increasingly technology-based. This authoritative examination of the problem presents useful material to make assessment a tool for the meaningful reform of school science. It also provides some basic guidelines for whatever system of assessment is used. Acidic paper. Annotation copyrighted by Book News, Inc., Portland, OR


Authentic Assessment in Action

Authentic Assessment in Action
Author: Linda Darling-Hammond
Publisher: Teachers College Press
Total Pages: 304
Release: 1995-06-15
Genre: Education
ISBN: 9780807734384

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Authentic Assessment in Action: Studies of Schools and Students at Work examines, through case studies of elementary and secondary schools, how five schools have developed "authentic," performance-based assessments of students' learning, and how this work has interacted with and influenced the teaching and learning experiences students encounter in school. This important and timely book reveals the changing dynamics of classroom life as it moves from more traditional pedagogy to one that asks students to master intellectual and practical skills that are eminently transferable to "real-life" social settings and workplaces. This book will be important reading for practitioners, professors, and researchers of curriculum and instruction and educational policy and will serve as a supplementary text in pre- and in-service courses in elementary and secondary curriculum development, curriculum and teaching, school organizations, educational leadership, educational policy and implementation.


Rethinking Mathematics

Rethinking Mathematics
Author: Eric Gutstein
Publisher: Rethinking Schools
Total Pages: 192
Release: 2005
Genre: Mathematics
ISBN: 0942961544

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In this unique collection, more than 30 articles show how to weave social justice issues throughout the mathematics curriculum, as well as how to integrate mathematics into other curricular areas. Rethinking Mathematics offers teaching ideas, lesson plans, and reflections by practitioners and mathematics educators. This is real-world math-math that helps students analyze problems as they gain essential academic skills. This book offers hope and guidance for teachers to enliven and strengthen their math teaching. It will deepen students' understanding of society and help prepare them to be critical, active participants in a democracy. Blending theory and practice, this is the only resource of its kind.