Assessing Higher Order Thinking in Mathematics
Assessing Higher Order Thinking in Mathematics

Author: Gerald Kulm

Publisher: Advancement of Science

Published: 1990-01-01

Total Pages: 209

ISBN-13: 9780871683564

DOWNLOAD EBOOK

Focusing on the elementary and secondary grades, this book explores current theory, research, practice, and policy in the assessment of higher order thinking in mathematics. The chapter authors combine current knowledge and research on mathematics learning and testing to provide examples of innovative test items for classroom use and state assessment programs, and present information on new assessment technologies, including computer-based approaches. Special coverage includes: * both background information and theoretical perspectives and examples of research on alternative assessment strategies; * a broad perspective on assessing higher-order thinking, including problem solving, consistent with recent work such as the NCTM Standards documents; * a discussion of how the recent changes not only in teaching and learning but in our world view of mathematics education imply the need for new approaches to assessment; and * information on assessment in the context of technology (calculators and computers) with illustrations of both practical and long-term issues.

Multidimensional Item Response Theory
Multidimensional Item Response Theory

Author: M.D. Reckase

Publisher: Springer Science & Business Media

Published: 2009-07-07

Total Pages: 355

ISBN-13: 0387899766

DOWNLOAD EBOOK

First thorough treatment of multidimensional item response theory Description of methods is supported by numerous practical examples Describes procedures for multidimensional computerized adaptive testing

Bringing Math Students Into the Formative Assessment Equation
Bringing Math Students Into the Formative Assessment Equation

Author: Susan Janssen Creighton

Publisher: Corwin Press

Published: 2015-01-21

Total Pages: 222

ISBN-13: 1483385965

DOWNLOAD EBOOK

Make formative assessment work for you—and your math students! Finally, formative assessment that adds up! Bringing Math Students Into the Formative Assessment Equation is the ultimate resource for helping teachers implement formative assessment in the middle school mathematics classroom. And it’s much more than that. With this research-based, teacher-tested guide, you won’t just learn effective teaching strategies—you’ll turn your students into self-regulated learners. They’ll monitor and assess their own progress—and communicate to you about it! Features include: A clear and manageable six-aspect instructional model Detailed strategies for helping students own their successes Real-life examples from middle school mathematics teachers Useful resources and a companion website to help you implement formative assessment in your classroom Formative assessment isn’t just for teachers anymore. With the help of this essential resource, you’ll work together with your students toward a common goal of math success. "This book is outstanding. I would recommend it to any math educator. The depth of research integrated into practice is extensive and, as a result, it is the most practical book I have come across related to formative assessment and mathematics The self-regulation aspects, as well as the ownership and involvement emphasized in the book, went beyond the traditional cognitive strategies endorsed in most books." Marc Simmons, Principal Ilwaco Middle School, Ocean Beach School District, Long Beach, WA "The ideas in this book are brought to life with examples of teachers and students in the classroom. The teacher voices, comments, and quotes lend credibility and are a big component of the book’s strengths as well as the visuals and graphics." Rita Tellez, Math Coordinator Ysleta Independent School District, El Paso, TX

Uncovering Student Thinking in Mathematics
Uncovering Student Thinking in Mathematics

Author: Cheryl M. Rose

Publisher: Corwin Press

Published: 2006-12-20

Total Pages: 201

ISBN-13: 1483334104

DOWNLOAD EBOOK

"Uncovering Student Thinking in Mathematics shows us ways to listen and observe children and their mathematical understandings so we can find better ways to help them take their next learning steps. This book is a gift to educators who ′seek to understand before being understood.′" —From the Foreword by Anne Davies "A fresh and unique resource for mathematics teachers who recognize the importance of carefully establishing the starting points of instruction in terms of what students already know. The collection of assessment probes is inventive, engaging for students, and invaluable for teachers." —Richard H. Audet, Associate Professor, Roger Williams University Use formative assessment probes to take the guesswork out of mathematics instruction and improve learning! Students learn at varying rates, and if a misconception in mathematics develops early, it may be carried from year to year and obstruct a student′s progress. To identify fallacies in students′ preconceived ideas, Uncovering Student Thinking in Mathematics offers educators a powerful diagnostic technique in the form of field-tested assessment probes—brief, easily administered activities to determine students′ thinking on core mathematical concepts. Designed to question students′ conceptual knowledge and reveal common understandings and misunderstandings, the probes generate targeted information for modifying mathematics instruction, allowing teachers to build on students′ existing knowledge and individually address their identified difficulties. Linked to National Council of Teachers of Mathematics standards, this invaluable handbook assists educators with: 25 ready-to-use mathematical probes Teacher guides for implementing each probe at any grade level Examples of typical obstacles and faulty thinking demonstrated by students This rich resource combines standards, educational research findings, and practical craft knowledge to help teachers deliver informed instruction that strengthens all students′ learning and achievement in mathematics.

The Video Game Theory Reader
The Video Game Theory Reader

Author: Mark J.P. Wolf

Publisher: Routledge

Published: 2013-10-08

Total Pages: 369

ISBN-13: 1135205191

DOWNLOAD EBOOK

In the early days of Pong and Pac Man, video games appeared to be little more than an idle pastime. Today, video games make up a multi-billion dollar industry that rivals television and film. The Video Game Theory Reader brings together exciting new work on the many ways video games are reshaping the face of entertainment and our relationship with technology. Drawing upon examples from widely popular games ranging from Space Invaders to Final Fantasy IX and Combat Flight Simulator 2, the contributors discuss the relationship between video games and other media; the shift from third- to first-person games; gamers and the gaming community; and the important sociological, cultural, industrial, and economic issues that surround gaming. The Video Game Theory Reader is the essential introduction to a fascinating and rapidly expanding new field of media studies.

Assessment of Higher Order Thinking Skills
Assessment of Higher Order Thinking Skills

Author: Gregory Schraw

Publisher: IAP

Published: 2011-10-01

Total Pages: 426

ISBN-13: 1617355070

DOWNLOAD EBOOK

This volume examines the assessment of higher order thinking skills from the perspectives of applied cognitive psychology and measurement theory. The volume considers a variety of higher order thinking skills, including problem solving, critical thinking, argumentation, decision making, creativity, metacognition, and self-regulation. Fourteen chapters by experts in learning and measurement comprise four sections which address conceptual approaches to understanding higher order thinking skills, cognitively oriented assessment models, thinking in the content domains, and practical assessment issues. The volume discusses models of thinking skills, as well as applied issues related to the construction, validation, administration and scoring of perfomancebased, selected-response, and constructed-response assessments. The goal of the volume is to promote a better theoretical understanding of higher order thinking in order to facilitate instruction and assessment of those skills among students in all K-12 content domains, as well as professional licensure and cetification settings.

Assessment in Mathematics Education
Assessment in Mathematics Education

Author: Christine Suurtamm

Publisher: Springer

Published: 2016-07-07

Total Pages: 46

ISBN-13: 3319323946

DOWNLOAD EBOOK

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.

Visible Learning for Mathematics, Grades K-12
Visible Learning for Mathematics, Grades K-12

Author: John Hattie

Publisher: Corwin Press

Published: 2016-09-15

Total Pages: 209

ISBN-13: 1506362958

DOWNLOAD EBOOK

Selected as the Michigan Council of Teachers of Mathematics winter book club book! Rich tasks, collaborative work, number talks, problem-based learning, direct instruction...with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in "visible" learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.