Performance Tasks and Rubrics for Upper Elementary Mathematics: Meeting Rigorous Standards and Assessments

195 Pages·2016·1.395 MB·English

by  Charlotte Danielson, Joshua Dragoon

Performance Tasks
and Rubrics for Upper
Elementary Mathematics
Performance tasks are highly effective tools to assist you in implementing
rigorous standards. But how do you create, evaluate, and use such tools?
In this bestselling book, educational experts Charlotte Danielson and
Joshua Dragoon explain how to construct and apply performance tasks
to gauge students’ deeper understanding of mathematical concepts at the
upper elementary level. You’ll learn how to:
◆◆ Evaluate the quality of performance tasks, whether you’ve written
them yourself or found them online;
◆◆ Use performance tasks for instructional decision-making and to
prepare students for summative assessments;
◆◆ Create your own performance tasks, or adapt pre-made tasks to best
suit students’ needs;
◆◆ Design and use scoring rubrics to evaluate complex performance
tasks;
◆◆ Use your students’ results to communicate more effectively with parents.
This must-have second edition is fully aligned to the Common Core State
Standards and assessments and includes a variety of new performance tasks
and rubrics, along with samples of student work. Additionally, download-
able student handout versions of all the performance tasks are available as
free eResources from our website (www.routledge.com/9781138906969), so
you can easily distribute them to your class.
Charlotte Danielson is an educational consultant now based in San Francisco,
California. She has taught at all levels from kindergarten through college, and
has worked as an administrator, a curriculum director, and a staff developer.
Joshua Dragoon began his career in education as an elementary school
classroom teacher. In addition to teaching, Joshua has served as a school
administrator and district instructional coach. Most recently, he has led
large-scale mathematics professional development initiatives across New
York City for teachers at all grade levels.
Math Performance Tasks
Performance Tasks and Rubrics for Early Elementary Mathematics:
Meeting Rigorous Standards and Assessments
Charlotte Danielson and Pia Hansen
Performance Tasks and Rubrics for Upper Elementary Mathematics:
Meeting Rigorous Standards and Assessments
Charlotte Danielson and Joshua Dragoon
Performance Tasks and Rubrics for Middle School Mathematics:
Meeting Rigorous Standards and Assessments
Charlotte Danielson and Elizabeth Marquez
Performance Tasks and Rubrics for High School Mathematics:
Meeting Rigorous Standards and Assessments
Charlotte Danielson and Elizabeth Marquez
Performance Tasks
and Rubrics for Upper
Elementary Mathematics
Meeting Rigorous
Standards and Assessments
Second Edition
Charlotte Danielson and Joshua Dragoon
Second edition published 2016
by Routledge
711 Third Avenue, New York, NY 10017
and by Routledge
2 Park Square, Milton Park, Abingdon, Oxon, OX14 4RN
Routledge is an imprint of the Taylor & Francis Group, an informa business
© 2016 Taylor & Francis
The right of Charlotte Danielson and Joshua Dragoon to be identified as authors of
this work has been asserted by them in accordance with sections 77 and 78 of the
Copyright, Designs and Patents Act 1988.
All rights reserved. No part of this book may be reprinted or reproduced or
utilised in any form or by any electronic, mechanical, or other means, now
known or hereafter invented, including photocopying and recording, or in any
information storage or retrieval system, without permission in writing from the
publishers.
Trademark notice: Product or corporate names may be trademarks or registered
trademarks, and are used only for identification and explanation without intent
to infringe.
First edition published by Routledge 1997
Library of Congress Cataloging in Publication Data
Names: Danielson, Charlotte, author. | Dragoon, Joshua, author.
Title: Performance tasks and rubrics for upper elementary mathematics: meeting
rigorous standards and assessments/by Charlotte Danielson and Joshua Dragoon.
Other titles: Collection of performance tasks and rubrics. Upper elementary school
mathematics
Description: Second edition. | New York: Routledge, 2016. | Revised edition of:
A collection of performance tasks and rubrics. Upper elementary school
mathematics.
Identifiers: LCCN 2015038796 | ISBN 9781138906969 (pbk.) |
ISBN 9781315695266 (e-book)
Subjects: LCSH: Mathematics—Study and teaching (Elementary)—Evaluation.
Classification: LCC QA135.5 .D245 2016 | DDC 372.7—dc23
LC record available at http://lccn.loc.gov/2015038796
ISBN: 978-1-138-90696-9 (pbk)
ISBN: 978-1-315-69526-6 (ebk)
Typeset in Palatino
by Swales & Willis Ltd, Exeter, Devon, UK
To Cindy and Ronnie
This Page is Intentionally Left Blank
Contents
eResources ................................................... viii
Meet the Authors ............................................... ix
Foreword by Jay McTighe ......................................... x
Preface ....................................................... xii
Acknowledgments .............................................. xv
1 Introduction: What Is Performance Assessment? .................. 1
2 Why Use Performance Assessment? ............................. 10
3 Making an Evaluation Plan .................................... 19
4 Understanding Quality Performance Tasks ...................... 27
5 Creating and Adapting Performance Tasks ...................... 34
6 Using Rubrics to Evaluate Complex Performance ................ 42
7 Creating and Adapting Rubrics ................................ 56
8 Upper Elementary Mathematics Performance Tasks .............. 69
eResources
The student handouts that accompany the tasks in this book are available
on our website as free eResources, so you can download and print them for
classroom use. You can access the eResources by visiting the book product
page on our website: www.routledge.com/9781138906969. Click on the tab
that says “eResources” and select the files. They will begin downloading to
your computer.
Meet the Authors
Charlotte Danielson is an internationally recognized expert specializing
recently in the area of teacher effectiveness, focusing on the design of teacher
evaluation systems that both ensure teacher quality and promote profes-
sional learning.
Charlotte began her career as an economist but soon realized her passion
for education. She became a teacher and later worked as a curriculum direc-
tor, staff developer, and instructional coach, and then later as an advisor on
educational policy. Her work in classroom-based assessment—in particular
in the design and interpretation of performance tasks—served as a prototype
for her later work in the analysis of teacher performance.
After years in the classroom, Charlotte realized that clear standards
of practice were essential to advancing the profession. She wrote the
Framework for Teaching, initially published in 1996 and intended to define
good practice, primarily to inform professional learning and only later
used as a tool for teacher evaluation. As such, it has, in many places, trans-
formed school culture. She then began advising school districts, states,
and countries on how to incorporate principles of professional learning
into their evaluation systems.
Charlotte currently advises State Education Departments and National
Ministries and Departments of Education, both in the United States and
overseas. She is a sought-after keynote speaker at national and international
conferences, and a policy consultant to legislative and administrative bodies.
She continues to base her work on a profound awareness of the complexity of
teaching, the nature of learning, and the need to work to advance the profes-
sionalism of teaching.
Joshua Dragoon’s work in education spans over 15 years, beginning as a
fourth grade teacher in New York City. He has served as an elementary school
classroom teacher, coached teachers in mathematics, and supported schools
as they transitioned their curriculum and instruction to meet the demands
of the Common Core State Standards in both mathematics and literacy. He
has served as a school and district-level administrator, and is particularly
proud of his work leading mathematics professional development initiatives
across New York City, serving teachers in all grades, K-12. He holds a bach-
elor’s degree from Vassar College, as well as masters’ degrees in elementary
educatio n and educational leadership from Brooklyn College.