How Students (mis-) Understand Science and Mathematics
How Students (mis-) Understand Science and Mathematics

Author: Ruth Stavy

Publisher: Teachers College Press

Published: 2000-01-01

Total Pages: 148

ISBN-13: 9780807770412

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In this long-awaited book, Timothy J. Lensmire examines the problems and promise of progressive literacy education. He does this by developing a series of striking metaphors in which, for example, he imagines the writing workshop as a carnival or popular festival and the teacher as a novelist who writes her student-characters into more and less desirable classroom stories. Grounded in Lensmire's own and others' work in schools, Powerful Writing, Responsible Teaching makes powerful use of Bakhtin's theories of language and writing and Dewey's vision of schooling and democracy. Lensmire's book is, at once, a defense, a criticism, and a reconstruction of progressive and critical literacy approaches.

Student Misconceptions and Errors in Physics and Mathematics
Student Misconceptions and Errors in Physics and Mathematics

Author: Teresa Neidorf

Publisher: Springer Nature

Published: 2019-10-30

Total Pages: 173

ISBN-13: 3030301885

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This open access report explores the nature and extent of students’ misconceptions and misunderstandings related to core concepts in physics and mathematics and physics across grades four, eight and 12. Twenty years of data from the IEA’s Trends in International Mathematics and Science Study (TIMSS) and TIMSS Advanced assessments are analyzed, specifically for five countries (Italy, Norway, Russian Federation, Slovenia, and the United States) who participated in all or almost all TIMSS and TIMSS Advanced assessments between 1995 and 2015. The report focuses on students’ understandings related to gravitational force in physics and linear equations in mathematics. It identifies some specific misconceptions, errors, and misunderstandings demonstrated by the TIMSS Advanced grade 12 students for these core concepts, and shows how these can be traced back to poor foundational development of these concepts in earlier grades. Patterns in misconceptions and misunderstandings are reported by grade, country, and gender. In addition, specific misconceptions and misunderstandings are tracked over time, using trend items administered in multiple assessment cycles. The study and associated methodology may enable education systems to help identify specific needs in the curriculum, improve inform instruction across grades and also raise possibilities for future TIMSS assessment design and reporting that may provide more diagnostic outcomes.

Science Teaching Reconsidered
Science Teaching Reconsidered

Author: National Research Council

Publisher: National Academies Press

Published: 1997-03-12

Total Pages: 102

ISBN-13: 0309175445

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Effective science teaching requires creativity, imagination, and innovation. In light of concerns about American science literacy, scientists and educators have struggled to teach this discipline more effectively. Science Teaching Reconsidered provides undergraduate science educators with a path to understanding students, accommodating their individual differences, and helping them grasp the methodsâ€"and the wonderâ€"of science. What impact does teaching style have? How do I plan a course curriculum? How do I make lectures, classes, and laboratories more effective? How can I tell what students are thinking? Why don't they understand? This handbook provides productive approaches to these and other questions. Written by scientists who are also educators, the handbook offers suggestions for having a greater impact in the classroom and provides resources for further research.

Visualizing Mathematics
Visualizing Mathematics

Author: Kelly S. Mix

Publisher: Springer

Published: 2018-12-07

Total Pages: 382

ISBN-13: 3319987674

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This unique volume surveys recent research on spatial visualization in mathematics in the fields of cognitive psychology and mathematics education. The general topic of spatial skill and mathematics has a long research tradition, but has been gaining attention in recent years, although much of this research happens in disconnected subfields. This volume aims to promote interaction between researchers, not only to provide a more comprehensive view of spatial visualization and mathematics, but also to stimulate innovative new directions in research based on a more coordinated effort. It features ten chapters authored by leading researchers in cognitive psychology and mathematics education, as well as includes dynamic commentaries by mathematics education researchers on cognitive psychology chapters, and by cognitive psychologists on mathematics education chapters. Among the topics included: From intuitive spatial measurement to understanding of units. Spatial reasoning: a critical problem-solving tool in children’s mathematics strategy tool-kit. What processes underlie the relation between spatial skill and mathematics? Learning with and from drawing in early years geometry. Communication of visual information and complexity of reasoning by mathematically talented students. Visualizing Mathematics makes substantial progress in understanding the role of spatial reasoning in mathematical thought and in connecting various subfields of research. It promises to make an impact among psychologists, education scholars, and mathematics educators in the convergence of psychology and education.

Student Thinking and Learning in Science
Student Thinking and Learning in Science

Author: Keith S. Taber

Publisher: Routledge

Published: 2014-04-11

Total Pages: 255

ISBN-13: 1136620842

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This readable and informative survey of key ideas about students’ thinking in science builds a bridge between theory and practice by offering clear accounts from research, and showing how they relate to actual examples of students talking about widely taught science topics. Focused on secondary students and drawing on perspectives found in the international research literature, the goal is not to offer a comprehensive account of the vast literature, but rather to provide an overview of the current state of the field suitable for those who need an understanding of core thinking about learners’ ideas in science, including science education students in teacher preparation and higher degree programs, and classroom teachers, especially those working with middle school, high school, or college level students. Such understanding can inform and enrich science teaching in ways which are more satisfying for teachers, less confusing and frustrating for learners, and so ultimately can lead to both greater scientific literacy and more positive attitudes to science.

Mathematics Formative Assessment, Volume 1
Mathematics Formative Assessment, Volume 1

Author: Page Keeley

Publisher: Corwin Press

Published: 2011-09-15

Total Pages: 257

ISBN-13: 1452269440

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Transform your mathematics instruction with this rich collection of formative assessment techniques Award-winning author Page Keeley and mathematics expert Cheryl Rose Tobey apply the successful format of Keeley′s best-selling Science Formative Assessment to mathematics. They provide 75 formative assessment strategies and show teachers how to use them to inform instructional planning and better meet the needs of all students. Research shows that formative assessment has the power to significantly improve learning, and its many benefits include: Stimulation of metacognitive thinking Increased student engagement Insights into student thinking Development of a discourse community The authors also provide important guidance with each technique, including usage tips and caveats, implementation examples, and suggested modifications. With practical strategies that are relevant for all grades and topic areas, Mathematics Formative Assessment provides the tools to transform teaching and learning in your classroom.

Mathematics Formative Assessment
Mathematics Formative Assessment

Author: Page Keeley

Publisher: Corwin Press

Published: 2011-09-15

Total Pages: 257

ISBN-13: 1412968127

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"There is a substantive body of research that indicates formative assessment can significantly improve student learning. Yet, this same research shows that the features of formative assessment that impact student achievement are sadly missing from many classrooms (Black, et al., 2003). This book provides teachers with guidance and suggestions for using formative assessment to improve teaching and learning in the mathematics classroom, and identifies and describes practical techniques teachers can use to build a rich repertoire of formative assessment strategies. The acronym, FACT, is used to label the techniques included in this book. FACT stands for Formative Assessment Classroom Technique. Through the varied use of FACTs, explicitly tied to a purpose for gathering information about or promoting students' thinking and learning, teachers can focus on what works best for learning and design or modify lessons to fit the needs of the students"--Provided by publisher.

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

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"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.

Proceedings Of The 14th International Congress On Mathematical Education (In 2 Volumes)
Proceedings Of The 14th International Congress On Mathematical Education (In 2 Volumes)

Author: Jianpan Wang

Publisher: World Scientific

Published: 2024-06-07

Total Pages: 1609

ISBN-13: 9811287198

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The International Congress on Mathematical Education (ICME) is the largest international conference on mathematics education in the world. This quadrennial event is organized under the auspices of the International Commission on Mathematical Instruction (ICMI). This book, the Proceedings of ICME-14, presents the latest trends in mathematics education research and mathematics teaching practices at all levels. Each chapter covers an extensive range of topics in mathematics education.Volume I consists of 4 Plenary Lectures, 3 Plenary Panels, 5 Lectures of Awardees, 4 Survey Teams, 62 Topic Study Groups, 13 Discussion Groups, 20 Workshops, a Thematic Afternoon, and an Early Career Researcher Day. Plenary Lectures recognize substantial and continuing contributions to the growth of the field of Mathematics Education. Plenary Panels address three major challenges currently facing mathematics educators across the globe. The Survey Teams have a particular emphasis on identifying and characterizing important new knowledge, recent developments, new perspectives, and emergent issues. The Topic Study Groups provides a coverage of important topics in mathematics education.Volume II consists of 50 invited lectures which present the work and reflections of both established and emerging researchers from around the world. These lectures cover a wide spectrum of topics, themes and issues that reflect the latest challenges and development in the field of mathematics education.

Misconceptions in Science Education
Misconceptions in Science Education

Author: Ilana Ronen

Publisher: Cambridge Scholars Publishing

Published: 2018-07-27

Total Pages: 296

ISBN-13: 1527514846

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How do we make sense of our world? How does giving an immediate, intuitive response impact its quality, what are its features, and how is this related to misconceptions? Who is afraid of misconceptions? Despite cognitive ability and information being accessible like never before, learners often provide incorrect, intuition-based responses to science and mathematics questions. Based on comprehensive research, combining quantitative and qualitative methodologies, this book suggests a paradigm shift into an “empathic space” in which students, elementary and middle school, pre-service teachers and researchers can utilize misconceptions as a learning tool. The book follows the cathartic “Aha!” moment, in which the learner understands the source of his incorrect response, as the researcher re-discovers the chief role of the facilitator teacher within the process of creating knowledge is based upon empathic human interaction.