The Interconnective Relationship of Students' Visualization and Argumentation in Geometry

Download The Interconnective Relationship of Students' Visualization and Argumentation in Geometry PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (138 download)

DOWNLOAD NOW!


Book Synopsis The Interconnective Relationship of Students' Visualization and Argumentation in Geometry by : Chrysi Papadaki

Download or read book The Interconnective Relationship of Students' Visualization and Argumentation in Geometry written by Chrysi Papadaki and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In my work, I investigate the role of visualization in students' argumentations while they work on geometric tasks, whose specific design aims to promote students' visualization. The data presented here are from the implementation of my study in a 9th grade school class in Germany. Two theories underlie this work: Toulmin's (1958) theory on argumentation and his functional model of argumentation, and Duval's (1999/2002) cognitive approach to visualization. These theories help me to describe the meaning of the argumentation and visualization processes in students' work. In order to observe these phenomena, I use two argumentation analysis methods to analyze my data and reconstruct students' argumentations. The two methods are Reid's (2002b) method of “patterns of reasoning” and Knipping's (2003, 2008) method of “argumentation structures”. The two methods combined unwind the argumentation processes that take place while students work on given geometric tasks. Employing Duval's (1999/2002) visualization theory in the reconstructed argumentations reveals the roles of visualization in students' argumentations and, as a consequence, visualization's contribution in their learning of geometry. The data analysis reveals five roles that visualization plays in students' argumentation (e.g. supporting the creation of a hypothesis) and also three functions that the students attribute to them in their arguments (e.g. as warrants). In the results, I also explain how visualization can be indicated in argumentation both through students' verbal descriptions (including metaphors) as well as their actions (e.g. gestures, use of drawings). Furthermore, I discuss how the task design as well as the organization of the learning social settings - students working in pairs and participating in classroom discussions - influence students' work and contribute to their learning in different ways. This work concludes with a discussion in which all the important results are brought together and are also linked to the already existing literature. The contributions of my work are discussed and implications for the teaching of geometry and for further research are proposed.

Visualizing Argumentation

Download Visualizing Argumentation PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1852336641
Total Pages : 248 pages
Book Rating : 4.8/5 (523 download)

DOWNLOAD NOW!


Book Synopsis Visualizing Argumentation by : Paul A. Kirschner

Download or read book Visualizing Argumentation written by Paul A. Kirschner and published by Springer Science & Business Media. This book was released on 2002-12-05 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text examines the use of collaboration technologies in the problem-solving or decision-making process. These systems are widely used in both education and in the workplace to enable virtual groups to discuss and exchange ideas on issues ranging from applied problems to theoretical debate. While some systems are text-based, the majority rely on visualization techniques to allow participants to represent their ideas in a more flexible, graphical form. The text evaluates existing systems, and looks at how the specific needs of users in both educational and corporate environments can be reflected in the design of new systems.

Constructing Dynamic Triangles Together

Download Constructing Dynamic Triangles Together PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 1316445437
Total Pages : 444 pages
Book Rating : 4.3/5 (164 download)

DOWNLOAD NOW!


Book Synopsis Constructing Dynamic Triangles Together by : Gerry Stahl

Download or read book Constructing Dynamic Triangles Together written by Gerry Stahl and published by Cambridge University Press. This book was released on 2015-11-19 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rational thinking as exemplified in mathematical cognition is immensely important in the modern world. This book documents how a group of three eighth-grade girls developed specific group practices typical of such thinking in an online educational experience. A longitudinal case study tracks the team through eight hour-long sessions, following the students' meaning-making processes through their mutual chat responses preserved in computer logs coordinated with their geometric actions. The examination of data focuses on key areas of the team's development: its effective team collaboration, its productive mathematical discourse, its enacted use of dynamic-geometry tools, and its ability to identify and construct dynamic-geometry dependencies. This detailed study of group cognition serves as a paradigmatic example of computer-supported collaborative learning, incorporating a unique model of human-computer interaction analysis applied to the use of innovative educational technology. A valuable resource for researchers, instructors, and students alike, it offers concrete suggestions for improving educational practice.

Empirical Research on Semiotics and Visual Rhetoric

Download Empirical Research on Semiotics and Visual Rhetoric PDF Online Free

Author :
Publisher : IGI Global
ISBN 13 : 1522556230
Total Pages : 328 pages
Book Rating : 4.5/5 (225 download)

DOWNLOAD NOW!


Book Synopsis Empirical Research on Semiotics and Visual Rhetoric by : Danesi, Marcel

Download or read book Empirical Research on Semiotics and Visual Rhetoric written by Danesi, Marcel and published by IGI Global. This book was released on 2018-02-23 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of symbols has long been considered a necessary field to unravel concealed meanings in symbols and images. These methods have since established themselves as staples in various fields of psychology, anthropology, computer science, and cognitive science. Empirical Research on Semiotics and Visual Rhetoric is a critical academic publication that examines communication through images and symbols and the methods by which researchers and scientists analyze these images and symbols. Featuring coverage on a wide range of topics, such as material culture, congruity theory, and social media, this publication is geared toward academicians, researchers, and students seeking current research on images, symbols, and how to analyze them.

The Teaching of Statistics

Download The Teaching of Statistics PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 278 pages
Book Rating : 4.3/5 (121 download)

DOWNLOAD NOW!


Book Synopsis The Teaching of Statistics by : Robert Morris

Download or read book The Teaching of Statistics written by Robert Morris and published by . This book was released on 1989 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the Twenty-second Annual Conference of the Cognitive Science Society

Download Proceedings of the Twenty-second Annual Conference of the Cognitive Science Society PDF Online Free

Author :
Publisher : Psychology Press
ISBN 13 : 9780805838794
Total Pages : 1108 pages
Book Rating : 4.8/5 (387 download)

DOWNLOAD NOW!


Book Synopsis Proceedings of the Twenty-second Annual Conference of the Cognitive Science Society by : Lila R. Gleitman

Download or read book Proceedings of the Twenty-second Annual Conference of the Cognitive Science Society written by Lila R. Gleitman and published by Psychology Press. This book was released on 2000 with total page 1108 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vol inclu all ppers & postrs presntd at 2000 Cog Sci mtg & summaries of symposia & invitd addresses. Dealg wth issues of representg & modelg cog procsses, appeals to scholars in all subdiscip tht comprise cog sci: psy, compu sci, neuro sci, ling, & philo

Researching and Using Progressions (Trajectories) in Mathematics Education

Download Researching and Using Progressions (Trajectories) in Mathematics Education PDF Online Free

Author :
Publisher : BRILL
ISBN 13 : 9004396446
Total Pages : 255 pages
Book Rating : 4.0/5 (43 download)

DOWNLOAD NOW!


Book Synopsis Researching and Using Progressions (Trajectories) in Mathematics Education by :

Download or read book Researching and Using Progressions (Trajectories) in Mathematics Education written by and published by BRILL. This book was released on 2019-02-04 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: The relationship between research and practice has long been an area of interest for researchers, policy makers, and practitioners alike. One obvious arena where mathematics education research can contribute to practice is the design and implementation of school mathematics curricula. This observation holds whether we are talking about curriculum as a set of broad, measurable competencies (i.e., standards) or as a comprehensive set of resources for teaching and learning mathematics. Impacting practice in this way requires fine-grained research that is focused on individual student learning trajectories and intimate analyses of classroom pedagogical practices as well as large-scale research that explores how student populations typically engage with the big ideas of mathematics over time. Both types of research provide an empirical basis for identifying what aspects of mathematics are important and how they develop over time. This book has its origins in independent but parallel work in Australia and the United States over the last 10 to 15 years. It was prompted by a research seminar at the 2017 PME Conference in Singapore that brought the contributors to this volume together to consider the development and use of evidence-based learning progressions/trajectories in mathematics education, their basis in theory, their focus and scale, and the methods used to identify and validate them. In this volume they elaborate on their work to consider what is meant by learning progressions/trajectories and explore a range of issues associated with their development, implementation, evaluation, and on-going review. Implications for curriculum design and future research in this field are also considered. Contributors are: Michael Askew, Tasos Barkatsas, Michael Belcher, Rosemary Callingham, Doug Clements, Jere Confrey, Lorraine Day, Margaret Hennessey, Marj Horne, Alan Maloney, William McGowan, Greg Oates, Claudia Orellana, Julie Sarama, Rebecca Seah, Meetal Shah, Dianne Siemon, Max Stephens, Ron Tzur, and Jane Watson.

Mathematics Curriculum Framework

Download Mathematics Curriculum Framework PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 130 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!


Book Synopsis Mathematics Curriculum Framework by : Massachusetts. Department of Education

Download or read book Mathematics Curriculum Framework written by Massachusetts. Department of Education and published by . This book was released on 1997 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the 13th International Congress on Mathematical Education

Download Proceedings of the 13th International Congress on Mathematical Education PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3319625977
Total Pages : 735 pages
Book Rating : 4.3/5 (196 download)

DOWNLOAD NOW!


Book Synopsis Proceedings of the 13th International Congress on Mathematical Education by : Gabriele Kaiser

Download or read book Proceedings of the 13th International Congress on Mathematical Education written by Gabriele Kaiser and published by Springer. This book was released on 2017-10-31 with total page 735 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is open access under a CC BY 4.0 license. The book presents the Proceedings of the 13th International Congress on Mathematical Education (ICME-13) and is based on the presentations given at the 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft für Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 brought together about 3.500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. Directly before the congress activities were offered for 450 Early Career Researchers. The proceedings give a comprehensive overview on the current state-of-the-art of the discussions on mathematics education and display the breadth and deepness of current research on mathematical teaching-and-learning processes. The book introduces the major activities of ICME-13, namely articles from the four plenary lecturers and two plenary panels, articles from the five ICMI awardees, reports from six national presentations, three reports from the thematic afternoon devoted to specific features of ICME-13. Furthermore, the proceedings contain descriptions of the 54 Topic Study Groups, which formed the heart of the congress and reports from 29 Discussion Groups and 31 Workshops. The additional important activities of ICME-13, namely papers from the invited lecturers, will be presented in the second volume of the proceedings.

Problems of Representation in the Teaching and Learning of Mathematics

Download Problems of Representation in the Teaching and Learning of Mathematics PDF Online Free

Author :
Publisher : Hillsdale, N.J. : L. Erlbaum Associates
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.3/5 (97 download)

DOWNLOAD NOW!


Book Synopsis Problems of Representation in the Teaching and Learning of Mathematics by : Université du Québec à Montréal. Centre interdisciplinaire de recherche sur l'apprentissage et le développement en éducation

Download or read book Problems of Representation in the Teaching and Learning of Mathematics written by Université du Québec à Montréal. Centre interdisciplinaire de recherche sur l'apprentissage et le développement en éducation and published by Hillsdale, N.J. : L. Erlbaum Associates. This book was released on 1987 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers derived from a symposium organized by CIRADE of Université du Québec à Montréal.

UME Trends

Download UME Trends PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 156 pages
Book Rating : 4.E/5 ( download)

DOWNLOAD NOW!


Book Synopsis UME Trends by :

Download or read book UME Trends written by and published by . This book was released on 1990 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Oxford Handbook of Communist Visual Cultures

Download The Oxford Handbook of Communist Visual Cultures PDF Online Free

Author :
Publisher : Oxford University Press
ISBN 13 : 0190885556
Total Pages : 640 pages
Book Rating : 4.1/5 (98 download)

DOWNLOAD NOW!


Book Synopsis The Oxford Handbook of Communist Visual Cultures by : Aga Skrodzka

Download or read book The Oxford Handbook of Communist Visual Cultures written by Aga Skrodzka and published by Oxford University Press. This book was released on 2020-04-01 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stereotypes often cast communism as a defunct, bankrupt ideology and a relic of the distant past. However, recent political movements like Europe's anti-austerity protests, the Arab Spring, and Occupy Wall Street suggest that communism is still very much relevant and may even hold the key to a new, idealized future. In The Oxford Handbook of Communist Visual Cultures, contributors trace the legacies of communist ideology in visual culture, from buildings and monuments, murals and sculpture, to recycling campaigns and wall newspapers, all of which work to make communism's ideas and values material. Contributors work to resist the widespread demonization of communism, demystifying its ideals and suggesting that it has visually shaped the modern world in undeniable and complex ways. Together, contributors answer curcial questions like: What can be salvaged and reused from past communist experiments? How has communism impacted the cultures of late capitalism? And how have histories of communism left behind visual traces of potential utopias? An interdisciplinary look at the cultural currency of communism today, The Oxford Handbook of Communist Visual Cultures demonstrates the value of revisiting the practices of the past to form a better vision of the future.

Program Monitoring and Visualization

Download Program Monitoring and Visualization PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461221609
Total Pages : 221 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!


Book Synopsis Program Monitoring and Visualization by : Clinton L. Jeffery

Download or read book Program Monitoring and Visualization written by Clinton L. Jeffery and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents software visualization at a level suitable for a senior level undergraduate or graduate course, or for the interested technical professional. The approach is to give a survey of the field, and then present a specific research framework designed to reduce the effort required to write visualization tools. A wide range of simple program control flow and data structure visualizations are then presented as examples of how to obtain information about program behavior, and how to present it graphically. Source code fragments and screen images illustrate each example.

Writing Virtual Environments for Software Visualization

Download Writing Virtual Environments for Software Visualization PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 1461417554
Total Pages : 164 pages
Book Rating : 4.4/5 (614 download)

DOWNLOAD NOW!


Book Synopsis Writing Virtual Environments for Software Visualization by : Clinton Jeffery

Download or read book Writing Virtual Environments for Software Visualization written by Clinton Jeffery and published by Springer. This book was released on 2014-11-28 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Writing Virtual Environments for Software Visualization book describes the software for a networked, 3D multi-user virtual environment that allows users to create and share remotely visualizations of program behavior. Collaborative virtual environments such as World of Warcraft or Second Life are a popular way to share interactive internet experiences, but they are complex and difficult to create. Software visualization is an area that may enable important advances in our ability to understand and reduce the costs of maintaining software. Applying the former technology to this problem area will be valuable to distributed and multi-institutional software development and educational users. The author covers the major features of collaborative virtual environments and how to program them in a very high level language. The book also examines the application of popular game-like software technologies.

Microtonality and the Tuning Systems of Erv Wilson

Download Microtonality and the Tuning Systems of Erv Wilson PDF Online Free

Author :
Publisher : Routledge
ISBN 13 : 1317513428
Total Pages : 376 pages
Book Rating : 4.3/5 (175 download)

DOWNLOAD NOW!


Book Synopsis Microtonality and the Tuning Systems of Erv Wilson by : Terumi Narushima

Download or read book Microtonality and the Tuning Systems of Erv Wilson written by Terumi Narushima and published by Routledge. This book was released on 2017-11-22 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the emerging area of microtonality through an examination of the tuning theories of Erv Wilson. It is the first publication to offer a broad discussion of this influential theorist whose innovations have far-reaching ramifications for microtonal tuning systems. This study addresses the breadth and complexity of Wilson’s work by focusing on his microtonal keyboard designs as a means to investigate his tuning concepts and their practical applications. Narushima examines materials ranging from historical and experimental tunings to instrument design, as well as musical applications of mathematical theories and multidimensional geometry. The volume provides an analysis of some of Wilson’s most significant theoretical ideas, including the Scale Tree, Moments of Symmetry, Constant Structures, and Combination-Product Sets. These theories offer ways to conceptualize musical scales as patterns with structural integrity and whose shapes can be altered to produce infinitely varying forms. The book shows how these structural properties can be used to map scales onto a microtonal keyboard by providing step-by-step guidelines and clearly illustrated examples. Most importantly, it brings together theoretical and practical methods of tuning to enable composers, performers, and instrument designers to explore previously uncharted areas of microtonality, making a significant contribution to the fields of music theory, composition and music technology.

The Routledge Companion to Cyberpunk Culture

Download The Routledge Companion to Cyberpunk Culture PDF Online Free

Author :
Publisher : Routledge
ISBN 13 : 135113986X
Total Pages : 659 pages
Book Rating : 4.3/5 (511 download)

DOWNLOAD NOW!


Book Synopsis The Routledge Companion to Cyberpunk Culture by : Anna McFarlane

Download or read book The Routledge Companion to Cyberpunk Culture written by Anna McFarlane and published by Routledge. This book was released on 2019-11-28 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this companion, an international range of contributors examine the cultural formation of cyberpunk from micro-level analyses of example texts to macro-level debates of movements, providing readers with snapshots of cyberpunk culture and also cyberpunk as culture. With technology seamlessly integrated into our lives and our selves, and social systems veering towards globalization and corporatization, cyberpunk has become a ubiquitous cultural formation that dominates our twenty-first century techno-digital landscapes. The Routledge Companion to Cyberpunk Culture traces cyberpunk through its historical developments as a literary science fiction form to its spread into other media such as comics, film, television, and video games. Moreover, seeing cyberpunk as a general cultural practice, the Companion provides insights into photography, music, fashion, and activism. Cyberpunk, as the chapters presented here argue, is integrated with other critical theoretical tenets of our times, such as posthumanism, the Anthropocene, animality, and empire. And lastly, cyberpunk is a vehicle that lends itself to the rise of new futurisms, occupying a variety of positions in our regionally diverse reality and thus linking, as much as differentiating, our perspectives on a globalized technoscientific world. With original entries that engage cyberpunk’s diverse ‘angles’ and its proliferation in our life worlds, this critical reference will be of significant interest to humanities students and scholars of media, cultural studies, literature, and beyond.

Structure and Insight

Download Structure and Insight PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 300 pages
Book Rating : 4.0/5 ( download)

DOWNLOAD NOW!


Book Synopsis Structure and Insight by : Pierre M. van Hiele

Download or read book Structure and Insight written by Pierre M. van Hiele and published by . This book was released on 1986 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: