Download or read book Adventures in Dynamic Geometry written by Gerry Stahl and published by Lulu.com. This book was released on 2015-10-06 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Math games and workbooks with topics for online small groups of teachers or students to collaboratively learn dynamic geometry. The approach is based on "Translating Euclid." The many GeoGebra files used in VMT courses are pictured in the workbook. Several versions of the workbooks are available, including the version used in WinterFest 2013 and analyzed in "Translating Euclid" and "Constructing Dynamic Triangles Together." Also includes the content of a game version that is available as a GeoGebraBook.
Download or read book Some Adventures in Euclidean Geometry written by Michael de Villiers and published by Dynamic Mathematics Learning. This book was released on 2009-09-08 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book seeks to actively involve the reader in the heuristic processes of conjecturing, discovering, formulating, classifying, defining, refuting, proving, etc. within the context of Euclidean geometry. The book deals with many interesting and beautiful geometric results, which have only been discovered during the past 300 years such as the Euler line, the theorems of Ceva, Napoleon, Morley, Miquel, Varignon, etc. Extensive attention is also given to the classification of the quadrilaterals from the symmetry of a side-angle duality. Many examples lend themselves excellently for exploration on computer with dynamic geometry programs such as Sketchpad. The book is addressed primarily to university or college lecturers involved in the under-graduate or in-service training of high school mathematics teachers, but may also interest teachers who are looking for enrichment material, and gifted high school mathematics pupils.
Download or read book Dynamic Geometry Game for Pods written by Gerry Stahl and published by Lulu.com. This book was released on 2020-08-21 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains adventures in digital geometry for the minds of students in pods and in home-schooling. Learning about geometry has inspired many of the most important thinkers for centuries and helped them to make sense of the world. This sequence of 50 hands-on challenges will step learners through the most exciting experiences of geometry, from basic points, lines and circles to construction and proof. The book is structured as a game: a series of thought-provoking challenges that provides a stimulating experience of collaboration with pod-mates and a fun introduction to geometry.
Download or read book An Adventure in Geometry written by Anthony Ravielli and published by . This book was released on 1960 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Exploring Geometry with the Geometer s Sketchpad written by Key Curriculum Press and published by . This book was released on 1996 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Influential Aspects of Dynamic Geometry Activities in the Construction of Proofs written by Ernesto Sanchez and published by . This book was released on 2003 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present results from a study which investigated the influence of dynamic geometry-based activities in the development of proving skills (in geometry) in high-school students (15-16 years of age). After a 12-week course on Cabri and the writing of conjectures and proofs, students were asked to write and prove conjectures based on their observations in six Cabri-based activities. We analyzed the written data in the light of Balacheff's work (1987, 1999). Although progress is shown on the level of the development of knowledge, in that the objects and their relationships become more meaningful, there are still many difficulties in decontextualizing the activities and in the development of a functional language, necessary for the passage from pragmatic to intellectual tools. (Contains 2 footnotes.) [For complete proceedings, see ED500860.].
Download or read book Authentic Learning Activities Geometry Spatial Sense written by Brendan Kelly and published by Brendan Kelly Publishing Inc.. This book was released on 2000 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Constitution and Production of Mathematics in the Cyberspace written by Maria Aparecida Viggiani Bicudo and published by Springer Nature. This book was released on 2020-04-29 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together various studies that assume phenomenology to analyze how mathematics education is affected by the experience of being in the cyberspace. The authors of the chapters included in this contributed volume work with the theoretical framework developed by authors such as Edmund Husserl, Martin Heidegger and Maurice Merleau-Ponty to investigate how mathematics is produced and comprehended in a new way of being in the world, with digital technologies. The aim of this book is not to explain the tools used and how one works with them in the cyberspace, aiming at better teaching and learning mathematics. Its purpose is to present philosophical investigations that contribute to the understanding of the complexity of the world in which we are being researchers and mathematics teachers. By doing so, Constitution and Production of Mathematics in the Cyberspace – A Phenomenological Approach will help researchers and mathematics teachers understand their role in a world in which the experience of teaching and learning mathematics is being radically changed by new technologies and new ways of being in this world.
Download or read book Mathematical Problem Posing written by Florence Mihaela Singer and published by Springer. This book was released on 2015-06-12 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematics education community continues to contribute research-based ideas for developing and improving problem posing as an inquiry-based instructional strategy for enhancing students’ learning. A large number of studies have been conducted which have covered many research topics and methodological aspects of teaching and learning mathematics through problem posing. The Authors' groundwork has shown that many of these studies predict positive outcomes from implementing problem posing on: student knowledge, problem solving and posing skills, creativity and disposition toward mathematics. This book examines, in-depth, the contribution of a problem posing approach to teaching mathematics and discusses the impact of adopting this approach on the development of theoretical frameworks, teaching practices and research on mathematical problem posing over the last 50 years.
Download or read book Dynamic Geometry Task Design for Axiomatic Geometry written by Younggon Bae and published by . This book was released on 2019 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Responding to calls for studies on task design and enactment using technology in geometry classroom, this dissertation connects theoretical and empirical studies to instructional practices by designing, enacting, and revising a sequence of tasks using DGEs for college students in an axiomatic geometry course. First, I discuss a set of mathematical activities using DGEs that consist the core of the task sequence in this study. I illustrate a sequence of instructional tasks designed and enacted in an axiomatic geometry course where a DGE plays a crucial role in students' mathematical activities in class. The illustration of the task sequence consists of the mathematical activities intended in the design of each task as well as student reasoning. Student work collected in the actual classroom provides pedagogical implications to revise the task sequenceSecond, I report an empirical study on students' uses of DGEs and their engagement in mathematical reasoning and axiomatic reasoning while enacting three tasks in the sequence. Students used DGEs to communicate their mathematical ideas and to examine mathematical statements describing properties of geometric objects within axiomatic systems and models of hyperbolic geometry. The analyses of this study revealed case themes describing student use of DGEs, engagement in mathematical reasoning and axiomatic reasoning, and relationships thereof. The findings of the analysis provide practical implications to revise the task design as well as theoretical implications to better understand the nature of student engagement in advanced mathematical reasoning in such technology-rich environments.At last, not the least, I address theoretical consideration on understanding of epistemic aspects of student learning in axiomatic geometry supported by technology and appropriate mathematical activities exploiting pedagogical roles of technology. I address students' epistemological shifts that have been discussed in the existing literature of student learning of advanced geometry in connection with student work collected and analyzed in the empirical study reported above. First, students make a shift in the ontological view of geometric models from Euclidean to non-Euclidean geometry, in which the geometric models are considered conscious artifacts of mathematical design. Second, students make a shift in the epistemological view of mathematical proofs from absolutism to fallibilism, in which proofs can be characterized with a variety of functions and forms. Drawing on the prior literature, I argue that making successful shifts can benefit students in axiomatic geometry and that such shifts can be facilitated by engaging in mathematical activities with supports of dynamic geometry environments. In particular, I highlight examples of student work reported in the empirical study that illustrate those different views of geometric models and mathematical proofs captured observed from students who were on the process of such shifts.
Download or read book Overview and Autobiographical Essays written by Gerry Stahl and published by Lulu.com. This book was released on 2016-01-27 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: The current volume is intended to provide an overview of the eLibrary and some documentation of my life as the author of these texts.
Download or read book Mathematics Classrooms Students Activities and Teachers Practices written by Fabrice Vandebrouck and published by Springer Science & Business Media. This book was released on 2013-09-03 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: With cooperation of Aline Robert, Janine Rogalski, Maha Abboud-Blanchard, Claire Cazes, Monique Chappet-Pariès, Aurélie Chesnais, Christophe Hache, Julie Horoks, Eric Roditi & Nathalie Sayac. This book presents unique insights into a significant area of French research relating the learning and teaching of mathematics in school classrooms and their development. Having previously had only glimpses of this work, I have found the book fascinating in its breadth of theory, its links between epistemological, didactic and cognitive perspectives and its comprehensive treatment of student learning of mathematics, classroom activity, the work of teachers and prospective teacher development. Taking theoretical perspectives as their starting points, the authors of this volume present a rich array of theoretically embedded studies of mathematics teaching and learning in school classrooms. Throughout this book the reader is made aware of many unanswered questions and challenged to consider associated theoretical and methodological issues. For English-speaking communities who have lacked opportunity to access the French literature the book opens up a wealth of new ways of thinking about and addressing unresolved issues in mathematics learning, teaching and teacher education. I recommend it wholeheartedly! (Extract from Barbara Jaworski’s preface.)
Download or read book Teacher Training and Professional Development Concepts Methodologies Tools and Applications written by Management Association, Information Resources and published by IGI Global. This book was released on 2018-05-04 with total page 2240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Regardless of the field or discipline, technology is rapidly advancing, and individuals are faced with the challenge of adapting to these new innovations. To remain up-to-date on the current practices, teachers and administrators alike must constantly stay informed of the latest advances in their fields. Teacher Training and Professional Development: Concepts, Methodologies, Tools, and Applications contains a compendium of the latest academic material on the methods, skills, and techniques that are essential to lifelong learning and professional advancement. Including innovative studies on teaching quality, pre-service teacher preparation, and faculty enrichment, this multi-volume book is an ideal source for academics, professionals, students, practitioners, and researchers.
Download or read book Essays in Collaborative Dynamic Geometry written by Gerry Stahl and published by Lulu.com. This book was released on 2017-02-15 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes analyses of student teams using the VMT environment with multi-user GeoGebra. These studies are related to the presentations in "Translating Euclid" and "Constructing Dynamic Triangles Together." These essays document the most recent stage of the Virtual Math Teams Project.
Download or read book Handbook of Research on Transforming Mathematics Teacher Education in the Digital Age written by Niess, Margaret and published by IGI Global. This book was released on 2016-04-22 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: The digital age provides ample opportunities for enhanced learning experiences for students; however, it can also present challenges for educators who must adapt to and implement new technologies in the classroom. The Handbook of Research on Transforming Mathematics Teacher Education in the Digital Age is a critical reference source featuring the latest research on the development of educators’ knowledge for the integration of technologies to improve classroom instruction. Investigating emerging pedagogies for preservice and in-service teachers, this publication is ideal for professionals, researchers, and educational designers interested in the implementation of technology in the mathematics classroom.
Download or read book Mathematics Education and Technology Rethinking the Terrain written by Celia Hoyles and published by Springer Science & Business Media. This book was released on 2009-10-09 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics Education and Technology-Rethinking the Terrain revisits the important 1985 ICMI Study on the influence of computers and informatics on mathematics and its teaching. The focus of this book, resulting from the seventeenth Study led by ICMI, is the use of digital technologies in mathematics teaching and learning in countries across the world. Specifically, it focuses on cultural diversity and how this diversity impinges on the use of digital technologies in mathematics teaching and learning. Within this focus, themes such as mathematics and mathematical practices; learning and assessing mathematics with and through digital technologies; teachers and teaching; design of learning environments and curricula; implementation of curricula and classroom practice; access, equity and socio-cultural issues; and connectivity and virtual networks for learning, serve to organize the study and bring it coherence. Providing a state-of-the-art view of the domain with regards to research, innovating practices and technological development, Mathematics Education and Technology-Rethinking the Terrain is of interest to researchers and all those interested in the role that digital technology plays in mathematics education.
Download or read book The Computer Supported Collaborative Learning CSCL Conference 2013 Volume 1 written by ISLS and published by Lulu.com. This book was released on 2014-04-23 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Computer Supported Collaborative Learning (CSCL) Conference 2013 proceedings, Volume 1
