A 3D Visualization Teaching-Learning Trajectory for Elementary Grades Children

A 3D Visualization Teaching-Learning Trajectory for Elementary Grades Children PDF

Author: Jacqueline Sack

Publisher: Springer

Published: 2016-03-21

Total Pages: 48

ISBN-13: 3319297996

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This monograph describes the development and use of a 3D visualization teaching-learning trajectory for elementary age learners. Using design research principles, the authors developed this trajectory using the NCTM recommendations and the Spatial Operational Capacity (SOC) theoretical framework to guide lesson development. The SOC framework utilizes actual 3D models, 2D and abstract representations of the actual models, and, a dynamic computer interface, the Geocadabra Construction Box, which integrates these representations dynamically in real time. The work begins with describing the theoretical SOC frameworks that guided the study, the inquiry-based learning focus, the research method used, and informal pre-program interviews with participant children. The next chapter describes introductory activities used to orient the children to the 3D objects that they used throughout the program. The book then focuses on the development of abstract top-view numeric plan representations leading to representations of rectangular prisms, followed by front-side-top view representations. The last chapter shows how numeracy was integrated into the program to support the demanding official mathematics curriculum.

The Learning and Teaching of Geometry in Secondary Schools

The Learning and Teaching of Geometry in Secondary Schools PDF

Author: Pat Herbst

Publisher: Taylor & Francis

Published: 2017-03-16

Total Pages: 240

ISBN-13: 1351973533

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IMPACT (Interweaving Mathematics Pedagogy and Content for Teaching) is an exciting new series of texts for teacher education which aims to advance the learning and teaching of mathematics by integrating mathematics content with the broader research and theoretical base of mathematics education. The Learning and Teaching of Geometry in Secondary Schools reviews past and present research on the teaching and learning of geometry in secondary schools and proposes an approach for design research on secondary geometry instruction. Areas covered include: teaching and learning secondary geometry through history; the representations of geometric figures; students’ cognition in geometry; teacher knowledge, practice and, beliefs; teaching strategies, instructional improvement, and classroom interventions; research designs and problems for secondary geometry. Drawing on a team of international authors, this new text will be essential reading for experienced teachers of mathematics, graduate students, curriculum developers, researchers, and all those interested in exploring students’ study of geometry in secondary schools.

Reading for Evidence and Interpreting Visualizations in Mathematics and Science Education

Reading for Evidence and Interpreting Visualizations in Mathematics and Science Education PDF

Author: Stephen P. Norris

Publisher: Springer Science & Business Media

Published: 2012-09-17

Total Pages: 209

ISBN-13: 9460919243

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CRYSTAL—Alberta was established to research ways to improve students’ understanding and reasoning in science and mathematics. To accomplish this goal, faculty members in Education, Science, and Engineering, as well as school teachers joined forces to produce a resource bank of innovative and tested instructional materials that are transforming teaching in the K-12 classroom. Many of the instructional materials cross traditional disciplinary boundaries and explore contemporary topics such as global climate change and the spread of the West Nile virus. Combined with an emphasis on the use of visualizations, the instructional materials improve students’ engagement with science and mathematics. Participation in the CRYSTAL—Alberta project has changed the way I think about the connection between what I do as a researcher and what I do as a teacher: I have learned how to better translate scientific knowledge into language and activities appropriate for students, thereby transforming my own teaching. I also have learned to make better connections between what students are learning and what is happening in their lives and the world, thereby increasing students’ interest in the subject and enriching their learning experience.

Learning and Teaching Early Math

Learning and Teaching Early Math PDF

Author: Douglas H. Clements

Publisher: Taylor & Francis

Published: 2020-12-29

Total Pages: 489

ISBN-13: 1000288447

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The third edition of this significant and groundbreaking book summarizes current research into how young children learn mathematics and how best to develop foundational knowledge to realize more effective teaching. Using straightforward, practical language, early math experts Douglas Clements and Julie Sarama show how learning trajectories help teachers understand children’s level of mathematical understanding and lead to better teaching. By focusing on the inherent delight and curiosity behind young children’s mathematical reasoning, learning trajectories ultimately make teaching more joyous: helping teachers understand the varying levels of knowledge exhibited by individual students, it allows them to better meet the learning needs of all children. This thoroughly revised and contemporary third edition of Learning and Teaching Early Math remains the definitive, research-based resource to help teachers understand the learning trajectories of early mathematics and become confident, credible professionals. The new edition draws on numerous new research studies, offers expanded international examples, and includes updated illustrations throughout. This new edition is closely linked with Learning and Teaching with Learning Trajectories–[LT]2–an open-access, web-based tool for early childhood educators to learn about how children think and learn about mathematics. Head to LearningTrajectories.org for ongoing updates, interactive games, and practical tools that support classroom learning.

Cross-Disciplinary, Cross-Institutional Collaboration in Teacher Education

Cross-Disciplinary, Cross-Institutional Collaboration in Teacher Education PDF

Author: Cheryl J. Craig

Publisher: Springer Nature

Published: 2020-11-24

Total Pages: 410

ISBN-13: 3030566749

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This book focuses on the impact of sustained and evolving collaborations, showcasing research and scholarship in a faculty group—consisting of 28 professors from five regional universities—meeting and supporting each other since 2002. Originally an innovation introduced by Cheryl J. Craig and funded by a reform movement, the Faculty Academy continues to flourish in the fourth largest city in America long after the reform initiative abandoned its charge. Contributors to this volume represent all stages of careers, include all races and genders, and write from a multiplicity of disciplinary stances (literacy, mathematics, science, social education, multiculturalism, English as a Second Language, accountability, etc.). In addition to fascinatingly diverse perspectives on teacher education, the authors also investigate issues related to career trajectories—including experiences of vulnerability. The volume illuminates how the Faculty Academy works as a dynamic academic and social bond: not only as a glue that binds members in community, but also in rigorous intellectual commitments that fuel their collective knowing and advance their careers while providing leadership, mentorship, and modelling in up-close and timely ways.

Visualization in Mathematics, Reading and Science Education

Visualization in Mathematics, Reading and Science Education PDF

Author: Linda M. Phillips

Publisher: Springer Science & Business Media

Published: 2010-09-02

Total Pages: 112

ISBN-13: 9048188164

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Science education at school level worldwide faces three perennial problems that have become more pressing of late. These are to a considerable extent interwoven with concerns about the entire school curriculum and its reception by students. The rst problem is the increasing intellectual isolation of science from the other subjects in the school curriculum. Science is too often still taught didactically as a collection of pre-determined truths about which there can be no dispute. As a con- quence, many students do not feel any “ownership” of these ideas. Most other school subjects do somewhat better in these regards. For example, in language classes, s- dents suggest different interpretations of a text and then debate the relative merits of the cases being put forward. Moreover, ideas that are of use in science are presented to students elsewhere and then re-taught, often using different terminology, in s- ence. For example, algebra is taught in terms of “x, y, z” in mathematics classes, but students are later unable to see the relevance of that to the meaning of the universal gas laws in physics, where “p, v, t” are used. The result is that students are c- fused and too often alienated, leading to their failure to achieve that “extraction of an education from a scheme of instruction” which Jerome Bruner thought so highly desirable.

Hypothetical Learning Trajectories

Hypothetical Learning Trajectories PDF

Author: Douglas H. Clements

Publisher: Routledge

Published: 2012-12-06

Total Pages: 188

ISBN-13: 1136506942

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The purpose of this special issue is to present several research perspectives on learning trajectories with the intention of encouraging the broader community to reflect on, better define, adopt, adapt, or challenge the concept. The issue begins by briefly introducing learning trajectories. The remaining articles provide elaboration, examples, and discussion of the construct. They purposefully are intended to be illustrative, exploratory, and provocative with regard to learning trajectories construct; they are not a set of verification studies.

Transforming the Workforce for Children Birth Through Age 8

Transforming the Workforce for Children Birth Through Age 8 PDF

Author: National Research Council

Publisher: National Academies Press

Published: 2015-07-23

Total Pages: 587

ISBN-13: 0309324882

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Children are already learning at birth, and they develop and learn at a rapid pace in their early years. This provides a critical foundation for lifelong progress, and the adults who provide for the care and the education of young children bear a great responsibility for their health, development, and learning. Despite the fact that they share the same objective - to nurture young children and secure their future success - the various practitioners who contribute to the care and the education of children from birth through age 8 are not acknowledged as a workforce unified by the common knowledge and competencies needed to do their jobs well. Transforming the Workforce for Children Birth Through Age 8 explores the science of child development, particularly looking at implications for the professionals who work with children. This report examines the current capacities and practices of the workforce, the settings in which they work, the policies and infrastructure that set qualifications and provide professional learning, and the government agencies and other funders who support and oversee these systems. This book then makes recommendations to improve the quality of professional practice and the practice environment for care and education professionals. These detailed recommendations create a blueprint for action that builds on a unifying foundation of child development and early learning, shared knowledge and competencies for care and education professionals, and principles for effective professional learning. Young children thrive and learn best when they have secure, positive relationships with adults who are knowledgeable about how to support their development and learning and are responsive to their individual progress. Transforming the Workforce for Children Birth Through Age 8 offers guidance on system changes to improve the quality of professional practice, specific actions to improve professional learning systems and workforce development, and research to continue to build the knowledge base in ways that will directly advance and inform future actions. The recommendations of this book provide an opportunity to improve the quality of the care and the education that children receive, and ultimately improve outcomes for children.

Assessing Computational Thinking

Assessing Computational Thinking PDF

Author: David Weintrop

Publisher: Taylor & Francis

Published: 2023-09-12

Total Pages: 215

ISBN-13: 1000952282

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This book presents different approaches for answering the question: How do we assess computational thinking? The result is a snapshot of the current state of the field for assessing computational thinking. The last decade has seen rapid growth in the presence of computational thinking (CT) in educational contexts. Those working to advance CT argue that the concepts and skills associated with CT are essential to succeed in an increasingly computational world. As a result of these efforts, there has been tremendous growth in curricula, learning environments, and innovations around CT education in K-12 classrooms and beyond. As CT grows in prominence, so too does the need to be able to effectively and equitably assess learners CT abilities. This volume is a collection of chapters pursuing different approaches for answering the question: How do we assess computational thinking? The answers provided span age ranges, formal and informal contexts, conceptual aspects of CT, and varying methodological and evaluative strategies. Collectively, the volume captures the current state of the field for assessing computational thinking and lays the groundwork for future CT assessment innovation. Assessing Computational Thinking will be a key resource for academics, researchers, and advanced students of Education, Educational Assessment, Educational Research, Psychology and Research Methods. The chapters included in this book were originally published as a special issue of Computer Science Education.