Assessing Mathematical Proficiency

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Assessing Mathematical Proficiency

Author : Alan H. Schoenfeld
Publisher : Cambridge University Press
Page : 412 pages
File Size : 40,9 Mb
Release : 2007-05-21
Category : Juvenile Nonfiction
ISBN : 9780521874922

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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.

Assessing Mathematical Proficiency

Author : Alan H. Schoenfeld
Publisher : Unknown
Page : 391 pages
File Size : 49,6 Mb
Release : 2007
Category : Mathematical ability
ISBN : 1316086488

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Assessing Mathematical Proficiency by Alan H. Schoenfeld Pdf

Highlights the kinds of information that assessments offer, with examples of some of the best mathematics assessments worldwide.

Helping Children Learn Mathematics

Author : National Research Council,Division of Behavioral and Social Sciences and Education,Center for Education,Mathematics Learning Study Committee
Publisher : National Academies Press
Page : 52 pages
File Size : 55,9 Mb
Release : 2002-07-31
Category : Education
ISBN : 9780309131988

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Helping Children Learn Mathematics by National Research Council,Division of Behavioral and Social Sciences and Education,Center for Education,Mathematics Learning Study Committee Pdf

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.

Mathematical Proficiency for All Students: Toward a Strategic Research and Development Program in Mathematics Education

Author : Deborah Loewenberg
Publisher : Rand Corporation
Page : 123 pages
File Size : 47,6 Mb
Release : 2003-04-15
Category : Education
ISBN : 9780833034113

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Mathematical Proficiency for All Students: Toward a Strategic Research and Development Program in Mathematics Education by Deborah Loewenberg Pdf

A clear need exists for substantial improvement in mathematics proficiency in U.S. schools. The RAND Mathematics Study Panel was convened to inform the U.S. Department of Education's Office of Educational Research and Improvement on ways to improve the quality and usability of education research and development (R&D). The panel identified three areas for focused R&D: development of teachers' mathematical knowledge used in teaching; teaching and learning of skills needed for mathematical thinking and problem-solving; and teaching and learning of algebra from kindergarten through the 12th grade.

Assessment in Mathematics Education

Author : Christine Suurtamm,Denisse R. Thompson,Rae Young Kim,Leonora Diaz Moreno,Nathalie Sayac,Stanislaw Schukajlow,Edward Silver,Stefan Ufer,Pauline Vos
Publisher : Springer
Page : 38 pages
File Size : 50,9 Mb
Release : 2016-07-07
Category : Education
ISBN : 9783319323947

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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.

Assessing Mathematical Literacy

Author : Kaye Stacey,Ross Turner
Publisher : Springer
Page : 334 pages
File Size : 42,5 Mb
Release : 2014-11-03
Category : Education
ISBN : 9783319101217

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Assessing Mathematical Literacy by Kaye Stacey,Ross Turner Pdf

This book describes the design, development, delivery and impact of the mathematics assessment for the OECD Programme for International Student Assessment (PISA). First, the origins of PISA’s concept of mathematical literacy are discussed, highlighting the underlying themes of mathematics as preparation for life after school and mathematical modelling of the real world, and clarifying PISA’s position within this part of the mathematics education territory. The PISA mathematics framework is introduced as a significant milestone in the development and dissemination of these ideas. The underlying mathematical competencies on which mathematical literacy so strongly depends are described, along with a scheme to use them in item creation and analysis. The development and implementation of the PISA survey and the consequences for the outcomes are thoroughly discussed. Different kinds of items for both paper-based and computer-based PISA surveys are exemplified by many publicly released items along with details of scoring. The novel survey of the opportunity students have had to learn the mathematics promoted through PISA is explained. The book concludes by surveying international impact. It presents viewpoints of mathematics educators on how PISA and its constituent ideas and methods have influenced teaching and learning practices, curriculum arrangements, assessment practices, and the educational debate more generally in fourteen countries.

Investigations, Tasks, and Rubrics to Teach and Assess Math

Author : Pat Lilburn,Alex Ciurak
Publisher : Math Solutions
Page : 156 pages
File Size : 50,9 Mb
Release : 2010
Category : Education
ISBN : 9781935099147

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Investigations, Tasks, and Rubrics to Teach and Assess Math by Pat Lilburn,Alex Ciurak Pdf

Provides opportunities for engaging, differentiated, open-ended problem-solving experiences. Features more than two hundred tasks grouped by content standards that reflect the NCTM Standards and the NCTM Curriculum Focal Points.

Teaching Mathematical Thinking

Author : Marian Small
Publisher : Teachers College Press
Page : 129 pages
File Size : 54,6 Mb
Release : 2017
Category : Education
ISBN : 9780807775882

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Teaching Mathematical Thinking by Marian Small Pdf

This new resource by math education expert Marian Small helps schools and districts to refine their teaching of standards-based mathematical practices. Small devotes a chapter to each of the eight standards of practice and includes a discussion of what each standard looks like in grades K–2, 3–5, and 6–8. Specific attention is given to helping students make sense of problems and persevere in solving them (Standard 1) and to encouraging students to create viable mathematical arguments and to effectively and respectfully critique the reasoning of others (Standard 3). The author also discusses how to formatively assess student performance for each practice standard. To provide additional support to U.S. teachers in their instructional planning, this resource includes attention to the Canadian math processes of visualization and mental math and estimation. “Whether you are a new teacher or a seasoned educator, this book will enrich your abilities to develop your students' mathematical thinking.” —From the Foreword by Linda Dacey, professor emerita, Mathematics, Lesley University “One of the best ways to prepare students for their futures is to teach mathematical thinking. Marian Small shows us the way with powerful tasks, probing questions, and incredible student work samples. This is the book I have been looking for and is definitely a must-have for every teacher.” —Ruth Harbin Miles, Mary Baldwin University

Mathematics Objectives, 1981-82 Assessment

Author : National Assessment of Educational Progress (Project)
Publisher : Unknown
Page : 54 pages
File Size : 51,8 Mb
Release : 1981
Category : Mathematical ability
ISBN : UOM:39015017284152

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Mathematics Objectives, 1981-82 Assessment by National Assessment of Educational Progress (Project) Pdf

This document describes the nature of the Third Assessment of Mathematics for the National Assessment of Educational Progress. Information about the first two assessments is provided to give background information and details on the framework for the third assessment. It is noted that objectives for the third assessment are based on the second, with revisions that reflect current content and trends in school mathematics. Information about the content domain is provided, with the six content categories discussed: numbers and numeration; variables and relationships; shape, size, and position; measurement; probability and statistics; and technology. Technology is measured by assessing the use of calculators and computer literacy. Five categories in the process domain are reviewed: knowledge, skill, understanding, application and problem solving, and attitudes towards mathematics. Questions to be answered within each of the process categories are listed. The first of two appendices lists advisory committee members and consultants. The second provides additional information on three assessment topics: attitudes, the calculator, and estimation skills. (MP)

Proficiency and Beliefs in Learning and Teaching Mathematics

Author : Yeping Li,Judit N. Moschkovich
Publisher : Springer Science & Business Media
Page : 317 pages
File Size : 52,5 Mb
Release : 2013-09-04
Category : Education
ISBN : 9789462092990

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Proficiency and Beliefs in Learning and Teaching Mathematics by Yeping Li,Judit N. Moschkovich Pdf

Efforts to improve mathematics education have led educators and researchers to not only study the nature of proficiency, beliefs, and practices in mathematics learn¬ing and teaching, but also identify and assess possible influences on students’ and teachers’ proficiencies, beliefs, and practices in learning and teaching mathematics. The complexity of these topics has fascinated researchers from various back¬grounds, including psychologists, cognitive or learning scientists, mathematicians, and mathematics educators. Among those researchers, two scholars with a similar background – Alan Schoenfeld in the United States and Günter Törner in Germany, are internationally recognized for their contributions to these topics. To celebrate their 65th birthdays in 2012, this book brought together many scholars to reflect on how their own work has built upon and continued Alan and Günter’s work in mathematics education. The book contains 17 chapters by 33 scholars from six different education systems. This collection describes recent research and provides new insights into these topics of interest to mathematics educators, researchers, and graduate students who wish to learn about the trajectory and direction of research on these issues.

Culturally Responsive Mathematics Education

Author : Brian Greer,Swapna Mukhopadhyay,Arthur B. Powell,Sharon Nelson-Barber
Publisher : Routledge
Page : 401 pages
File Size : 44,9 Mb
Release : 2009-05-20
Category : Education
ISBN : 9781135593346

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Culturally Responsive Mathematics Education by Brian Greer,Swapna Mukhopadhyay,Arthur B. Powell,Sharon Nelson-Barber Pdf

This critical new collection presents mathematics education from a culturally responsive perspective and offers a broad perspective of mathematics as a significant, liberating intellectual force in our society.

Principles to Actions

Author : National Council of Teachers of Mathematics
Publisher : National Council of Teachers of Mathematics, Incorporated
Page : 139 pages
File Size : 49,5 Mb
Release : 2014-02
Category : Curriculum planning
ISBN : 0873537742

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Principles to Actions by National Council of Teachers of Mathematics Pdf

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.

Uncovering Student Thinking About Mathematics in the Common Core, Grades 3-5

Author : Cheryl Rose Tobey,Emily R. Fagan
Publisher : Corwin Press
Page : 249 pages
File Size : 46,6 Mb
Release : 2013-11-27
Category : Education
ISBN : 9781483340203

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Uncovering Student Thinking About Mathematics in the Common Core, Grades 3-5 by Cheryl Rose Tobey,Emily R. Fagan Pdf

Take the guesswork out of grades 3-5 math assessment! Quickly pinpoint and reverse your students’ common math difficulties with this detailed and easy-to-follow resource from best-selling authors Cheryl Tobey and Carolyn Arline. Twenty research-based assessment probes help you ask the right questions to uncover just where your students get confused – while learning is already underway. These CCSM-aligned probes eliminate all guesswork and will help you: Systematically address conceptual and procedural mistakes Plan targeted instruction and remediation in multiplication and division, problem solving, the four operations, factorization, and beyond Master essential CCSM mathematical processes and proficiencies for Grades 3-5

PISA 2018 Results (Volume I) What Students Know and Can Do

Author : OECD
Publisher : OECD Publishing
Page : 354 pages
File Size : 48,5 Mb
Release : 2019-12-03
Category : Electronic
ISBN : 9789264541887

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PISA 2018 Results (Volume I) What Students Know and Can Do by OECD Pdf

This is one of six volumes that present the results of the PISA 2018 survey, the seventh round of the triennial assessment. Volume I, What Students Know and Can Do, provides a detailed examination of student performance in reading, mathematics and science, and describes how performance has changed since previous PISA assessments.