Assessing Higher Order Thinking in Mathematics

Assessing Higher Order Thinking in Mathematics PDF

Author: Gerald Kulm

Publisher: Advancement of Science

Published: 1990-01-01

Total Pages: 209

ISBN-13: 9780871683564

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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.

Assessment of Higher Order Thinking Skills

Assessment of Higher Order Thinking Skills PDF

Author: Gregory Schraw

Publisher: IAP

Published: 2011-10-01

Total Pages: 427

ISBN-13: 1617355070

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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.

Learning by Doing

Learning by Doing PDF

Author: National Assessment of Educational Progress (Project)

Publisher:

Published: 1987

Total Pages: 40

ISBN-13:

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The National Assessment of Educational Progress (NAEP), the Nation's Report Card, has developed and pilot-tested a variety of hands-on science and mathematics tasks. These tasks were developed as prototypes for use in future national assessments, but the concepts measured and the innovative approaches used are equally suitable for classroom learning. This manual is designed for use by science and mathematics coordinators and teachers to share these techniques. To develop these hands-on activities, NAEP invited the views of science and mathematics educators and worked closely with members of the United Kingdom's Assessment of Performance Unit at Kings College, London University. Tasks were administered as group activities, station activities, and as complete experiments. About 1,000 third-, seventh-, and eleventh-grade students from 12 school districts across four regions of the country were assessed, with approximately 100-300 responses obtained for each task. Results showed that students responded to the tasks, and results conformed to expectations about basic developmental trends in thinking skills. In response to the pilot study, 11 tasks field-tested by NAEP were selected to show a range of possibilities for classroom and assessment use. Each task is presented by thinking skills necessary for successful student performance and the administration mode used by NAEP. Hierarchically arranged tasks are divided into the following sections: (1) classifying; (2) observing and making inferences; (3) formulating hypotheses; (4) interpreting data; (5) designing an experiment, and (6) conducting a complete experiment. The presentation for each task includes a brief explanation of the activity, the student response sheet, a list of the equipment used, and one or more exemplary student responses. (LMO)

Higher Order Thinking in Science Classrooms: Students’ Learning and Teachers’ Professional Development

Higher Order Thinking in Science Classrooms: Students’ Learning and Teachers’ Professional Development PDF

Author: Anat Zohar

Publisher: Springer Science & Business Media

Published: 2004-01-31

Total Pages: 256

ISBN-13: 1402018541

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How can educators bridge the gap between "big" ideas about teaching students to think and educational practice? This book addresses this question by a unique combination of theory, field experience and elaborate educational research. Its basic idea is to look at science instruction with regard to two sets of explicit goals: one set refers to teaching science concepts and the second set refers to teaching higher order thinking. This book tells about how thinking can be taught not only in the rare and unique conditions that are so typical of affluent experimental educational projects but also in the less privileged but much more common conditions of educational practice that most schools have to endure. It provides empirical evidence showing that students from all academic levels actually improve their thinking and their scientific knowledge following the thinking curricula, and discusses specific means for teaching higher order thinking to students with low academic achievements. The second part of the book addresses issues that pertain to teachers' professional development and to their knowledge and beliefs regarding the teaching of higher order thinking. This book is intended for a very large audience: researchers (including graduate students), curricular designers, practicing and pre-service teachers, college students, teacher educators and those interested in educational reform. Although the book is primarily about the development of thinking in science classrooms, most of it chapters may be of interest to educators from all disciplines.

Multidimensional Item Response Theory

Multidimensional Item Response Theory PDF

Author: M.D. Reckase

Publisher: Springer Science & Business Media

Published: 2009-07-07

Total Pages: 355

ISBN-13: 0387899766

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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 PDF

Author: Susan Janssen Creighton

Publisher: Corwin Press

Published: 2015-01-21

Total Pages: 222

ISBN-13: 1483385965

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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

Cases of Assessment in Mathematics Education

Cases of Assessment in Mathematics Education PDF

Author: M. Niss

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 215

ISBN-13: 9401709807

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The present book, Cases of Assessment in Mathematics Education, is one of two studies resulting from an ICMI Study Conference on Assessment in Mathematics Education and Its Effects. The book which is published in the series of ICMI Studies under the general editorship of the President and Secretary of ICMI is closely related to another study resulting from the same conference: Investigations into Assessment in Mathematics Education (Niss, 1992). The two books, although originating from the same sources and having the same editor, emphasize different aspects of assessment in mathematics education and can be read independently of one another. While the present book is devoted to presenting and discussing cases of assessment that are actually implemented, the other study attempts to critically analyze general and principal aspects of assessment. Naturally, the content of either book is enriched by the materials and perspectives provided by the other one. In order to put this book and its background into context, the nature and scope of the ICMI studies are outlined briefly below.

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