Assessment in Mathematics Education
Assessment in Mathematics Education

Author: Christine Suurtamm

Publisher: Springer

Published: 2016-07-07

Total Pages: 46

ISBN-13: 3319323946

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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.

Designing Assessment for Mathematics
Designing Assessment for Mathematics

Author: Eileen Depka

Publisher: Corwin Press

Published: 2007-05-31

Total Pages: 233

ISBN-13: 1452293910

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"Clearly demonstrates how to design rubrics for math, a content area that desperately needs support. The use of rubrics combined with performance tasks helps educators teach math at a higher, more engaging level. A must-have book for all educators seeking to build a strong thinking-based math program." —Lee Ann Cervini, Principal, Holley Elementary School, NY "Makes a distinct contribution to the field. Not only does the text clearly explain how to create rubrics and performance tasks in a step-by-step manner, each chapter also provides an example for immediate use in the classroom." —Marcia Carlson, Sixth-Grade Teacher, Crestview Elementary School, Clive, IA Enhance students′ understanding of math concepts through rubrics and hands-on learning! Teaching mathematics in today′s world requires practices and procedures integrated with performance tasks that actively involve students. In this second edition of Designing Rubrics for Mathematics, Eileen Depka clarifies the purpose of rubrics in math instruction and illustrates the relationship between assessment, rubrics, and the National Council of Teachers of Mathematics′ Principles and Standards for School Mathematics (2000). Each chapter in this research-based updated edition offers easy-to-use strategies, suggestions, creative sample problems, and tasks to engage students in hands-on learning while allowing them to have fun in the process. With two new chapters focused on communication to deepen students′ understanding of math concepts and using rubric data to improve instruction, this resource provides teachers with: Reflective activities to use with students for metacognitive processing Strategies for creating standards-linked rubrics, plus samples Tips for differentiating performance tasks How-to′s for student-created rubrics Internet resource links for rubric development, mathematical focal points, and standards Designing Assessment for Mathematics, Second Edition, demonstrates how to drive instruction and successfully boost achievement levels by providing students with experiences that impact their learning and performance.

Designing Everyday Assessment in the Science Classroom
Designing Everyday Assessment in the Science Classroom

Author:

Publisher: Teachers College Press

Published: 2005

Total Pages: 116

ISBN-13: 9780807746332

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This book describes how middle school science teachers, in collaboration with a team of researchers, tried to improve their everyday assessment practices to enhance student learning. It discusses the challenges they faced, the differences among the teachers, and the personal nature of deep educational change. A product of CAPITAL (Classroom Assessment Project to Improve Teaching and Learning), a research effort supported by the National Science Foundation, this book: Uses classroom stories to show how teachers can use a variety of formative assessment techniques to answer questions they have about their teaching.; Provides real-life examples of teachers grappling with new practices at a personal level, in their own settings and in light of their own values and beliefs; Offers suggestions for designing professional development efforts that recognize the significant variation among teachers in how they go about changing their assessment practices ; Outlines principles and practices that must accompany change in the classroom if it is to be more than superficial.

Digital Technologies in Designing Mathematics Education Tasks
Digital Technologies in Designing Mathematics Education Tasks

Author: Allen Leung

Publisher: Springer

Published: 2016-10-12

Total Pages: 359

ISBN-13: 3319434233

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This book is about the role and potential of using digital technology in designing teaching and learning tasks in the mathematics classroom. Digital technology has opened up different new educational spaces for the mathematics classroom in the past few decades and, as technology is constantly evolving, novel ideas and approaches are brewing to enrich these spaces with diverse didactical flavors. A key issue is always how technology can, or cannot, play epistemic and pedagogic roles in the mathematics classroom. The main purpose of this book is to explore mathematics task design when digital technology is part of the teaching and learning environment. What features of the technology used can be capitalized upon to design tasks that transform learners’ experiential knowledge, gained from using the technology, into conceptual mathematical knowledge? When do digital environments actually bring an essential (educationally, speaking) new dimension to classroom activities? What are some pragmatic and semiotic values of the technology used? These are some of the concerns addressed in the book by expert scholars in this area of research in mathematics education. This volume is the first devoted entirely to issues on designing mathematical tasks in digital teaching and learning environments, outlining different current research scenarios.

Computer Aided Assessment of Mathematics
Computer Aided Assessment of Mathematics

Author: Chris Sangwin

Publisher: OUP Oxford

Published: 2013-05-02

Total Pages: 271

ISBN-13: 0191635863

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Assessment is a key driver in mathematics education. This book examines computer aided assessment (CAA) of mathematics in which computer algebra systems (CAS) are used to establish the mathematical properties of expressions provided by students in response to questions. In order to automate such assessment, the relevant criteria must be encoded and, in articulating precisely the desired criteria, the teacher needs to think very carefully about the goals of the task. Hence CAA acts as a vehicle to examine assessment and mathematics education in detail and from a fresh perspective. One example is how it is natural for busy teachers to set only those questions that can be marked by hand in a straightforward way, even though the constraints of paper-based formats restrict what they do and why. There are other kinds of questions, such as those with non-unique correct answers, or where assessing the properties requires the marker themselves to undertake a significant computation. It is simply not sensible for a person to set these to large groups of students when marking by hand. However, such questions have their place and value in provoking thought and learning. This book, aimed at teachers in both schools and universities, explores how, in certain cases, different question types can be automatically assessed. Case studies of existing systems have been included to illustrate this in a concrete and practical way.

Understanding by Design
Understanding by Design

Author: Grant P. Wiggins

Publisher: ASCD

Published: 2005

Total Pages: 383

ISBN-13: 1416600353

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What is understanding and how does it differ from knowledge? How can we determine the big ideas worth understanding? Why is understanding an important teaching goal, and how do we know when students have attained it? How can we create a rigorous and engaging curriculum that focuses on understanding and leads to improved student performance in today's high-stakes, standards-based environment? Authors Grant Wiggins and Jay McTighe answer these and many other questions in this second edition of Understanding by Design. Drawing on feedback from thousands of educators around the world who have used the UbD framework since its introduction in 1998, the authors have greatly revised and expanded their original work to guide educators across the K-16 spectrum in the design of curriculum, assessment, and instruction. With an improved UbD Template at its core, the book explains the rationale of backward design and explores in greater depth the meaning of such key ideas as essential questions and transfer tasks. Readers will learn why the familiar coverage- and activity-based approaches to curriculum design fall short, and how a focus on the six facets of understanding can enrich student learning. With an expanded array of practical strategies, tools, and examples from all subject areas, the book demonstrates how the research-based principles of Understanding by Design apply to district frameworks as well as to individual units of curriculum. Combining provocative ideas, thoughtful analysis, and tested approaches, this new edition of Understanding by Design offers teacher-designers a clear path to the creation of curriculum that ensures better learning and a more stimulating experience for students and teachers alike.

Classroom Assessment in Mathematics
Classroom Assessment in Mathematics

Author: Denisse R. Thompson

Publisher: Springer

Published: 2018-03-01

Total Pages: 249

ISBN-13: 3319737481

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This book consists of 13 papers developed by participants in the ICME 13 Topic Study Group 40 on Classroom Assessment. The individual papers discuss various aspects of classroom assessment, focusing particularly on formative assessment as assessment for learning, and are grouped into four main sections: Examples of Classroom Assessment in Action, Technology as a Tool for Classroom Assessment, Statistical Models for Formative Assessment, and Engaging Teachers in Formative Assessment. The book opens with a brief discussion of the use of formative assessment as a critical component of the teaching–learning process and concludes with an overview of lessons learned and ideas for future research. It is of interest to classroom teachers, university teacher educators, professional development providers and school supervisors.

Science Formative Assessment, Volume 1
Science Formative Assessment, Volume 1

Author: Page Keeley

Publisher: Corwin Press

Published: 2015-09-09

Total Pages: 372

ISBN-13: 1483352196

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Formative assessment informs the design of learning opportunities that take students from their existing ideas of science to the scientific ideas and practices that support conceptual understanding. Science Formative Assessment shows K-12 educators how to weave formative assessment into daily instruction. Discover 75 assessment techniques linked to the Next Generation Science Standards and give classroom practices a boost with: Descriptions of how each technique promotes learning Charts linking core concepts at each grade level to scientific practices Implementation guidance, such as required materials and student grouping Modifications for different learning styles Ideas for adapting techniques to other content areas

Proceedings of the 13th International Congress on Mathematical Education
Proceedings of the 13th International Congress on Mathematical Education

Author: Gabriele Kaiser

Publisher: Springer

Published: 2017-10-31

Total Pages: 735

ISBN-13: 3319625977

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This book is open access under a CC BY 4.0 license. The book presents the Proceedings of the 13th International Congress on Mathematical Education (ICME-13) and is based on the presentations given at the 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft für Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 brought together about 3.500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. Directly before the congress activities were offered for 450 Early Career Researchers. The proceedings give a comprehensive overview on the current state-of-the-art of the discussions on mathematics education and display the breadth and deepness of current research on mathematical teaching-and-learning processes. The book introduces the major activities of ICME-13, namely articles from the four plenary lecturers and two plenary panels, articles from the five ICMI awardees, reports from six national presentations, three reports from the thematic afternoon devoted to specific features of ICME-13. Furthermore, the proceedings contain descriptions of the 54 Topic Study Groups, which formed the heart of the congress and reports from 29 Discussion Groups and 31 Workshops. The additional important activities of ICME-13, namely papers from the invited lecturers, will be presented in the second volume of the proceedings.