Mathematics Assessment and Evaluation

Mathematics Assessment and Evaluation PDF Author: Thomas A. Romberg
Publisher: SUNY Press
ISBN: 9780791409008
Category : Mathematics
Languages : en
Pages : 380

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Book Description
This books contains papers written on issues related to externally mandated mathematics tests and their influence on school mathematics. Chapter 1 presents an overview of the book, including brief abstracts of each chapter. Chapter 2 presents a summary of the overall problems associated with the need for valid information. Remaining chapters include: (3) Implications of the National Council of Teachers of Mathematics (NCTM) Standards for Mathematics Assessment (Norman Webb & Thomas A. Romberg); (4) Curriculum and Test Alignment (Thomas A. Romberg, and others); (5) State Assessment Test Development Procedures (James Braswell); (6) Test Development Profile of a State-Mandated Large-Scale Assessment Instrument in Mathematics (Tej Pandey); (7) Assessing Students' Learning in Courses Using Graphics Tools: A Preliminary Research Agenda (Sharon L. Senk); (8) Mathematics Testing with Calculators; Ransoming the Hostages (John G. Harvey); (9) Gender Differences in Test Taking: A Review (Margaret R. Meyer); (10) Communication and the Learning of Mathematics (David Clarke, and others); (11) Measuring Levels of Mathematical Understanding (Mark Wilson); (12) A Framework for the California Assessment Program to Report Students' Achievement in Mathematics (E. Anne Zarinnia & Thomas A. Romberg); (13) Evaluation--Some Other Perspectives (Phillip C. Clarkson). A reference list organized by chapter contains 300 citations. Appendices include the NCTM Evaluation Standards, a classification matrix, illustrative questions, history and rationale for student mathematics journals, SMP Project student log sample pages, and the report of Vermont's Mathematics Portfolio Assessment Program. (MKR)

Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8

Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8 PDF Author: Jennifer M. Bay-Williams
Publisher: Corwin
ISBN: 1071818430
Category : Education
Languages : en
Pages : 265

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Book Description
Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. Real fluency involves reasoning and creativity, and it varies by the situation at hand. Figuring Out Fluency in Mathematics Teaching and Learning offers educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. In a friendly and accessible style, this hands-on guide empowers educators to support students in acquiring the repertoire of reasoning strategies necessary to becoming versatile and nimble mathematical thinkers. It includes: "Seven Significant Strategies" to teach to students as they work toward procedural fluency. Activities, fluency routines, and games that encourage learning the efficiency, flexibility, and accuracy essential to real fluency. Reflection questions, connections to mathematical standards, and techniques for assessing all components of fluency. Suggestions for engaging families in understanding and supporting fluency. Fluency is more than a toolbox of strategies to choose from; it’s also a matter of equity and access for all learners. Give your students the knowledge and power to become confident mathematical thinkers.

Helping Children Learn Mathematics

Helping Children Learn Mathematics PDF Author: National Research Council
Publisher: National Academies Press
ISBN: 0309131987
Category : Education
Languages : en
Pages : 53

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Book Description
Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.

Principles to Actions

Principles to Actions PDF Author: National Council of Teachers of Mathematics
Publisher: National Council of Teachers of Mathematics, Incorporated
ISBN: 9780873537742
Category : Curriculum planning
Languages : en
Pages : 139

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Book Description
This text offers guidance to teachers, mathematics coaches, administrators, parents, and policymakers. This book: provides a research-based description of eight essential mathematics teaching practices ; describes the conditions, structures, and policies that must support the teaching practices ; builds on NCTM's Principles and Standards for School Mathematics and supports implementation of the Common Core State Standards for Mathematics to attain much higher levels of mathematics achievement for all students ; identifies obstacles, unproductive and productive beliefs, and key actions that must be understood, acknowledged, and addressed by all stakeholders ; encourages teachers of mathematics to engage students in mathematical thinking, reasoning, and sense making to significantly strengthen teaching and learning.

Mathematics Assessment and Evaluation

Mathematics Assessment and Evaluation PDF Author: Thomas A. Romberg
Publisher: SUNY Press
ISBN: 9780791409008
Category : Mathematics
Languages : en
Pages : 380

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Book Description
This books contains papers written on issues related to externally mandated mathematics tests and their influence on school mathematics. Chapter 1 presents an overview of the book, including brief abstracts of each chapter. Chapter 2 presents a summary of the overall problems associated with the need for valid information. Remaining chapters include: (3) Implications of the National Council of Teachers of Mathematics (NCTM) Standards for Mathematics Assessment (Norman Webb & Thomas A. Romberg); (4) Curriculum and Test Alignment (Thomas A. Romberg, and others); (5) State Assessment Test Development Procedures (James Braswell); (6) Test Development Profile of a State-Mandated Large-Scale Assessment Instrument in Mathematics (Tej Pandey); (7) Assessing Students' Learning in Courses Using Graphics Tools: A Preliminary Research Agenda (Sharon L. Senk); (8) Mathematics Testing with Calculators; Ransoming the Hostages (John G. Harvey); (9) Gender Differences in Test Taking: A Review (Margaret R. Meyer); (10) Communication and the Learning of Mathematics (David Clarke, and others); (11) Measuring Levels of Mathematical Understanding (Mark Wilson); (12) A Framework for the California Assessment Program to Report Students' Achievement in Mathematics (E. Anne Zarinnia & Thomas A. Romberg); (13) Evaluation--Some Other Perspectives (Phillip C. Clarkson). A reference list organized by chapter contains 300 citations. Appendices include the NCTM Evaluation Standards, a classification matrix, illustrative questions, history and rationale for student mathematics journals, SMP Project student log sample pages, and the report of Vermont's Mathematics Portfolio Assessment Program. (MKR)

Mathematics Assessment and Evaluation

Mathematics Assessment and Evaluation PDF Author: Thomas A. Romberg
Publisher: SUNY Press
ISBN: 9780791408995
Category : Mathematics
Languages : en
Pages : 380

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Book Description
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.

Measuring What Counts

Measuring What Counts PDF Author: National Research Council
Publisher: National Academies Press
ISBN: 0309049814
Category : Education
Languages : en
Pages : 240

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Book Description
To achieve national goals for education, we must measure the things that really count. Measuring What Counts establishes crucial research- based connections between standards and assessment. Arguing for a better balance between educational and measurement concerns in the development and use of mathematics assessment, this book sets forth three principlesâ€"related to content, learning, and equityâ€"that can form the basis for new assessments that support emerging national standards in mathematics education.

Assessment of Authentic Performance in School Mathematics

Assessment of Authentic Performance in School Mathematics PDF Author: Richard A. Lesh
Publisher: Routledge
ISBN: 1136489398
Category : Education
Languages : en
Pages : 457

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Book Description
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 Standards for School Mathematics

Assessment Standards for School Mathematics PDF Author: National Council of Teachers of Mathematics
Publisher: National Council of Teachers of Mathematics
ISBN:
Category : Education
Languages : en
Pages : 120

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Book Description
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)

Common Core Mathematics in a PLC at Work®, Leader's Guide

Common Core Mathematics in a PLC at Work®, Leader's Guide PDF Author: Timothy D. Kanold
Publisher: Solution Tree Press
ISBN: 1936765497
Category : Education
Languages : en
Pages : 130

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Book Description
This leader companion to the grade-level teacher guides illustrates how to sustain successful implementation of the Common Core State Standards for mathematics. Discover what students should learn and how they should learn it. Comprehensive research-affirmed analysis tools and strategies will help collaborative teams develop and assess student demonstrations of deep conceptual understanding and procedural fluency.

Research in Education

Research in Education PDF Author:
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 900

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Book Description