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A 3d Visualization Teaching Learning Trajectory For Elementary Grades Children
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Book Synopsis A 3D Visualization Teaching-Learning Trajectory for Elementary Grades Children by : Jacqueline Sack
Download or read book A 3D Visualization Teaching-Learning Trajectory for Elementary Grades Children written by Jacqueline Sack and published by Springer. This book was released on 2016-03-21 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Learning and Teaching of Geometry in Secondary Schools by : Pat Herbst
Download or read book The Learning and Teaching of Geometry in Secondary Schools written by Pat Herbst and published by Taylor & Francis. This book was released on 2017-03-16 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Learning and Teaching Early Math by : Douglas H. Clements
Download or read book Learning and Teaching Early Math written by Douglas H. Clements and published by Taylor & Francis. This book was released on 2020-12-29 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Early Childhood Mathematics Education Research by : Julie Sarama
Download or read book Early Childhood Mathematics Education Research written by Julie Sarama and published by Routledge. This book was released on 2009-04-01 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important new book synthesizes relevant research on the learning of mathematics from birth into the primary grades from the full range of these complementary perspectives. At the core of early math experts Julie Sarama and Douglas Clements's theoretical and empirical frameworks are learning trajectories—detailed descriptions of children’s thinking as they learn to achieve specific goals in a mathematical domain, alongside a related set of instructional tasks designed to engender those mental processes and move children through a developmental progression of levels of thinking. Rooted in basic issues of thinking, learning, and teaching, this groundbreaking body of research illuminates foundational topics on the learning of mathematics with practical and theoretical implications for all ages. Those implications are especially important in addressing equity concerns, as understanding the level of thinking of the class and the individuals within it, is key in serving the needs of all children.
Book Synopsis Learning and Teaching Early Math by : Douglas H. Clements
Download or read book Learning and Teaching Early Math written by Douglas H. Clements and published by Routledge. This book was released on 2020-12-29 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Forging Connections in Early Mathematics Teaching and Learning by : Virginia Kinnear
Download or read book Forging Connections in Early Mathematics Teaching and Learning written by Virginia Kinnear and published by Springer. This book was released on 2017-12-12 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited book promotes thinking, dialogue, research and theorisation on multiple ways of making connections in mathematics teaching and learning in early childhood education. The book addresses some key challenges in research, policy and practice in early childhood mathematics education. It examines diverse ways for learning experiences to connect young children to mathematics, and the importance of forging connections between mathematics and young children’s lives as key elements in their engagement with mathematics. Each chapter provides research or theoretical provocations and pedagogical implications for connecting children’s lived experiences and ways of learning in mathematics teaching. The chapters are drawn from a range of international authors who raise important ideas within the overall context of current research and consider the theoretical and practical implications of their research. As such, the book advances current thinking on mathematics teaching and learning for children in the early years from birth to eight years with an emphasis on children aged birth to 5 years. It considers the purpose and value in connecting mathematics teaching and learning to children’s lives, and provides provocations for both educators and researchers on the many under-researched and under-represented aspects of early years mathematics teaching and learning.
Book Synopsis Cross-Disciplinary, Cross-Institutional Collaboration in Teacher Education by : Cheryl J. Craig
Download or read book Cross-Disciplinary, Cross-Institutional Collaboration in Teacher Education written by Cheryl J. Craig and published by Springer Nature. This book was released on 2020-11-24 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Visualization in Mathematics, Reading and Science Education by : Linda M. Phillips
Download or read book Visualization in Mathematics, Reading and Science Education written by Linda M. Phillips and published by Springer Science & Business Media. This book was released on 2010-09-02 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Reading for Evidence and Interpreting Visualizations in Mathematics and Science Education by : Stephen P. Norris
Download or read book Reading for Evidence and Interpreting Visualizations in Mathematics and Science Education written by Stephen P. Norris and published by Springer Science & Business Media. This book was released on 2012-09-17 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Visualizing Elementary and Middle School Mathematics Methods by : Joan Cohen Jones
Download or read book Visualizing Elementary and Middle School Mathematics Methods written by Joan Cohen Jones and published by Wiley Global Education. This book was released on 2011-11-15 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of Visualizing Elementary and Middle School Mathematics Methods is to teach mathematics in a way that excites and motivates readers, with an accessible format that serves as an introduction to the teaching of mathematics. This text, in partnership with National Geographic, is designed to present mathematics content and pedagogy in a fresh new way. This unique approach, while maintaining necessary rigor, provides the opportunity to set aside previous beliefs about mathematics and to learn concepts and pedagogy from a new perspective. The structure of Visualizing Elementary and Middle School Mathematics Methods is similar to the format of other methods texts, however, it has many unique features that are designed to be engaging and make the text relevant for readers. It begins with a brief summary of the history of mathematics. Diversity is integrated into the content of every chapter, through Multicultural Perspectives in Mathematics. Several chapters include Virtual Classroom Observation Videos.
Book Synopsis Hypothetical Learning Trajectories by : Douglas H. Clements
Download or read book Hypothetical Learning Trajectories written by Douglas H. Clements and published by Routledge. This book was released on 2012-12-06 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Transforming the Workforce for Children Birth Through Age 8 by : National Research Council
Download or read book Transforming the Workforce for Children Birth Through Age 8 written by National Research Council and published by National Academies Press. This book was released on 2015-07-23 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Assessing Computational Thinking by : David Weintrop
Download or read book Assessing Computational Thinking written by David Weintrop and published by Taylor & Francis. This book was released on 2023-09-12 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Toward a Visually-Oriented School Mathematics Curriculum by : Ferdinand Rivera
Download or read book Toward a Visually-Oriented School Mathematics Curriculum written by Ferdinand Rivera and published by Springer. This book was released on 2011-04-09 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: What does it mean to have a visual representation of a mathematical object, concept, or process? What visualization strategies support growth in mathematical thinking, reasoning, generalization, and knowledge? Is mathematical seeing culture-free? How can information drawn from studies in blind subjects help us understand the significance of a multimodal approach to learning mathematics? Toward a Visually-Oriented School Mathematics Curriculum explores a unified theory of visualization in school mathematical learning via the notion of progressive modeling. Based on the author’s longitudinal research investigations in elementary and middle school classrooms, the book provides a compelling empirical account of ways in which instruction can effectively orchestrate the transition from personally-constructed visuals, both externally-drawn and internally-derived, into more structured visual representations within the context of a socioculturally grounded mathematical activity. Both for teachers and researchers, a discussion of this topic is relevant in the history of the present. The ubiquity of technological tools and virtual spaces for learning and doing mathematics has aroused interest among concerned stakeholders about the role of mathematics in these contexts. The book begins with a prolegomenon on the author’s reflections on past and present visual studies in mathematics education. In the remaining seven chapters, visualization is pursued in terms of its role in bringing about progressions in mathematical symbolization, abduction, pattern generalization, and diagrammatization. Toward a Visually-Oriented School Mathematics Curriculum views issues surrounding visualization through the eyes of a classroom teacher-researcher; it draws on findings within and outside of mathematics education that help practitioners and scholars gain a better understanding of what it means to pleasurably experience the symmetric visual/symbolic reversal phenomenon – that is, seeing the visual in the symbolic and the symbolic in the visual."
Book Synopsis Mathematics Learning in Early Childhood by : National Research Council
Download or read book Mathematics Learning in Early Childhood written by National Research Council and published by National Academies Press. This book was released on 2009-11-13 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Early childhood mathematics is vitally important for young children's present and future educational success. Research demonstrates that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success. Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children.
Book Synopsis Standards for Preparing Teachers of Mathematics by : Nadine Bezuk
Download or read book Standards for Preparing Teachers of Mathematics written by Nadine Bezuk and published by . This book was released on 2020 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: AMTE, in the Standards for Preparing Teachers of Mathematics, puts forward a national vision of initial preparation for all Pre-K-12 teachers who teach mathematics. SPTM pertains not only to middle and high school mathematics teachers who may teach mathematics exclusively but also to elementary school teachers teaching all disciplines, special education teachers, teachers of emergent multilingual students, and all other teaching professionals and administrators who have responsibility for students' mathematical learning. SPTM has broad implications for teacher preparation programs, in which stakeholders include faculty and administrators in both education and mathematics at the university level; teachers, principals, and district leaders in the schools with which preparation programs partner; and the communities in which preparation programs and their school partners are situated. SPTM is intended as a national guide that articulates a vision for mathematics teacher preparation and supports the continuous improvement of teacher preparation programs. Such continuous improvement includes changes to preparation program courses and structures, partnerships involving schools and universities and their leaders, the ongoing accreditation of such programs regionally and nationally, and the shaping of state and national mathematics teacher preparation policy. SPTM is also designed to inform accreditation processes for mathematics teacher preparation programs, to influence policies related to preparation of teachers of mathematics, and to promote national dialogue around preparing teachers of mathematics. The vision articulated in SPTM is aspirational in that it describes a set of high expectations for developing a well-prepared beginning mathematics teacher who can support meaningful student learning. The vision is research-based and establishes a set of goals for the continued development and refinement of a mathematics teacher preparation program and a research agenda for the study of the effects of such a program. SPTM contains detailed depictions of what a well-prepared beginning teacher knows and is able to do related to content, pedagogy, and disposition, and what a strong preparation program entails with respect to learning experiences, assessments, and partnerships. Stakeholders in mathematics teacher preparation will find messages related to their roles. Standards for Preparing Teachers of Mathematics includes standards and indicators for teacher candidates and for the design of teacher preparation programs. SPTM outlines assessment practices related to overall quality, program effectiveness, and candidate performance. SPTM describes specific focal practices by grade band and provides guidance to stakeholders regarding processes for productive change.
Download or read book GAIMME written by Solomon A. Garfunkel and published by . This book was released on 2016 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
