Download or read book Using Dynamic Geometry Software to Develop Students Conceptual Understanding of Angle written by Carrie Amanda Mae Lineberry and published by . This book was released on 2010 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Invited Lectures from the 13th International Congress on Mathematical Education written by Gabriele Kaiser and published by Springer. This book was released on 2018-02-06 with total page 786 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the Invited Lectures given at 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 – the biggest ICME so far - brought together about 3500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. The scholars came together to share their work on the improvement of mathematics education at all educational levels.. The papers present the work of prominent mathematics educators from all over the globe and give insight into the current discussion in mathematics education. The Invited Lectures cover a wide spectrum of topics, themes and issues and aim to give direction to future research towards educational improvement in the teaching and learning of mathematics education. This book is of particular interest to researchers, teachers and curriculum developers in mathematics education.
Download or read book International Perspectives on the Teaching and Learning of Geometry in Secondary Schools written by Patricio Herbst and published by Springer. This book was released on 2018-04-27 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents current perspectives on theoretical and empirical issues related to the teaching and learning of geometry at secondary schools. It contains chapters contributing to three main areas. A first set of chapters examines mathematical, epistemological, and curricular perspectives. A second set of chapters presents studies on geometry instruction and teacher knowledge, and a third set of chapters offers studies on geometry thinking and learning. Specific research topics addressed also include teaching practice, learning trajectories, learning difficulties, technological resources, instructional design, assessments, textbook analyses, and teacher education in geometry. Geometry remains an essential and critical topic in school mathematics. As they learn geometry, students develop essential mathematical thinking and visualization skills and learn a language that helps them relate to and interact with the physical world. Geometry has traditionally been included as a subject of study in secondary mathematics curricula, but it has also featured as a resource in out-of-school problem solving, and has been connected to various human activities such as sports, games, and artwork. Furthermore, geometry often plays a role in teacher preparation, undergraduate mathematics, and at the workplace. New technologies, including dynamic geometry software, computer-assisted design software, and geometric positioning systems, have provided more resources for teachers to design environments and tasks in which students can learn and use geometry. In this context, research on the teaching and learning of geometry will continue to be a key element on the research agendas of mathematics educators, as researchers continue to look for ways to enhance student learning and to understand student thinking and teachers’ decision making.
Download or read book Key Ideas in Teaching Mathematics written by Anne Watson and published by OUP Oxford. This book was released on 2013-02-21 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: Big ideas in the mathematics curriculum for older school students, especially those that are hard to learn and hard to teach, are covered in this book. It will be a first port of call for research about teaching big ideas for students from 9-19 and also has implications for a wider range of students. These are the ideas that really matter, that students get stuck on, and that can be obstacles to future learning. It shows how students learn, why they sometimes get things wrong, and the strengths and pitfalls of various teaching approaches. Contemporary high-profile topics like modelling are included. The authors are experienced teachers, researchers and mathematics educators, and many teachers and researchers have been involved in the thinking behind this book, funded by the Nuffield Foundation. An associated website, hosted by the Nuffield Foundation, summarises the key messages in the book and connects them to examples of classroom tasks that address important learning issues about particular mathematical ideas.
Download or read book Dynamic Geometry Computer Software in Geometry Classroom written by Folake Modupe Adelabu and published by . This book was released on 2020-11-03 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: The potential benefits of ICT have been identified by many countries in the world. Therefore, the essential requirement for schools and educational institutions have been made to expand teaching and learning environments and increasing the demand for education and training in most of the countries in the world. Geometry is a very significant study in the field of mathematics. It is a subset of the mathematics subject which associates with culture, history, art and design. Furthermore, geometry is commonly used to model the real-world concept which has many applications in solving practical problems. The methodical group geometrical knowledge of the ancient Greeks is one of the major successes of classical geometry. Learning geometry makes the secondary students develop some basic skills which include logical thinking abilities; spatial intuition about the universe; comparing and generalising; being careful and patient; as well as the reading and comprehension of geometrical concepts. The dynamic geometry computer software allows the users to construct geometry figures or shapes and to measure the variables of the shapes and determine the properties of them. It allows the users to; drag the figures through the screen, make geometric constructions and explain the facts about these constructions as well as test them so that the user will generalise the facts. The interactive learning environments of dynamic geometry computer software support the teaching and learning of abstract geometrical concepts in mathematics. The dynamic geometry computer software influenced students in gaining student-centered education and self-regulation. The integration of dynamic geometry computer software in learning geometry will enhance the construction knowledge in addition to the communication and dissemination of ideas in the geometry classroom.
Download or read book On the Shoulders of Giants written by National Research Council and published by National Academies Press. This book was released on 1990-01-01 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: What mathematics should be learned by today's young people as well as tomorrow's workforce? On the Shoulders of Giants is a vision of richness of mathematics expressed in essays on change, dimension, quantity, shape, and uncertainty, each of which illustrate fundamental strands for school mathematics. These essays expand on the idea of mathematics as the language and science of patterns, allowing us to realize the importance of providing hands-on experience and the development of a curriculum that will enable students to apply their knowledge to diverse numerical problems.
Download or read book Methods in Educational Research written by Marguerite G. Lodico and published by John Wiley & Sons. This book was released on 2010-04-07 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods in Educational Research Methods in Educational Research is designed to prepare students for the real world of educational research. It focuses on scientifically-based methods, school accountability, and the professional demands of the twenty-first century, empowering researchers to take an active role in conducting research in their classrooms, districts, and the greater educational community. Like the first edition, this edition helps students, educators, and researchers develop a broad and deep understanding of research methodologies. It includes substantial new content on the impact of No Child Left Behind legislation, school reform, quantitative and qualitative methodologies, logic modeling, action research, and other areas. Special features to assist the teaching and learning processes include vignettes illustrating research tied to practice, suggested readings at the end of each chapter, and discussion questions to reinforce chapter content. Praise for the Previous Edition "A new attempt to make this subject more relevant and appealing to students. Most striking is how useful this book is because it is really grounded in educational research. It is very well written and quite relevant for educational researchers or for the student hoping to become one." -PsycCRITIQUES/American Psychological Association "I applaud the authors for their attempt to cover a wide range of material. The straightforward language of the book helps make the material understandable for readers." -Journal of MultiDisciplinary Evaluation
Download or read book Developing a Dynamic Geometry Task Platform for Accessing Students Perceptions of Geometric Properties Through Analysis of Example Spaces written by Man-Sang Arthur Lee and published by Open Dissertation Press. This book was released on 2017-01-27 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation, "Developing a Dynamic Geometry Task Platform for Accessing Students' Perceptions of Geometric Properties Through Analysis of Example Spaces" by Man-sang, Arthur, Lee, 李文生, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: Geometry learning at the junior secondary level should focus on the connection between students' intuitive, spatial thinking and formal, deductive reasoning. It is crucial for students at this stage to develop abstract concepts based on knowledge of and reasoning with geometric properties. Dynamic geometry tools are promising resources in classroom teaching for enriching students' experience in geometry. Studies about students' learning with dynamic geometry tools usually focus on the long-term development of tool use in the contexts of problem solving and explorations. Data are mostly obtained from interviews and observations with students working in small groups or individually. This study begins with an original approach. It aims at understanding students' perceptions of geometric properties in simple dynamic figures without assuming any prior experience of students with dynamic geometry tools. A special web-based platform was developed to capture students' results of dragging in dynamic figures. Quantitative and qualitative data were obtained for analysis from this platform and task-based interviews respectively. In a set of 8 tasks designed in this study, students were asked to drag free points in pre-constructed figures to create examples of geometric configurations with parallel lines. Results of the tasks were collected through the web-based platform from 1,589 secondary 1 to 4 Hong Kong students in 11 schools of different backgrounds. In the next stage, 24 secondary 2 students from another 6 schools took part in task-based interviews, enabling detailed observations and analysis of their reasoning. The basic assumption of this design is that students working on the tasks will generate examples of geometric figures that reflect their understanding of relevant geometric properties. Their results could then be analyzed in the form of collective and personal example spaces with critical dimensions of variation to be identified (Watson & Mason, 2005). The findings of the study indicate how participating students vary in their ways of discerning critical geometric properties in dynamic figures. In particular, the results reflect students' general limited awareness of basic geometric properties, such as equal opposite sides or angles, while manipulating and interpreting pre-constructed figures. Graphical representations of collective example spaces, developed in this study, provide useful means for revealing dimensions of variation in examples generated. It is hoped that the findings and method of the study can inform classroom teaching with dynamic geometry tools that capitalizes on variation in students' perceptions. DOI: 10.5353/th_b5387976 Subjects: Geometry - Study and teaching (Secondary) - China - Hong Kong
Download or read book Geometry Turned On written by James King and published by Cambridge University Press. This book was released on 1997-10-30 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Articles about the uses of active, exploratory geometry carried out with interactive computer software.
Download or read book Special Issues in Early Childhood Mathematics Education Research written by and published by BRILL. This book was released on 2022-02-14 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, 23 contributors offer new insights on key issues in mathematics education in early childhood.
Download or read book The Geometric Supposer written by Judah L. Schwartz and published by Routledge. This book was released on 2013-06-17 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a case study of education reform and innovation using technology that examines the issue from a wide variety of perspectives. It brings together the views and experiences of software designers, curriculum writers, teachers and students, researchers and administrators. Thus, it stands in contrast to other analyses of innovation that tend to look through the particular prisms of research, classroom practice, or software design. The Geometric Supposer encourages a belief in a better tomorrow for schools. On its surface, the Geometric Supposer provides the means for radically altering the way in which geometry is taught and the quality of learning that can be achieved. At a deeper level, however, it suggests a powerful metaphor for improving education that can be played out in many different instructional contexts.
Download or read book Translating Euclid written by GERRY STAHL and published by Springer Nature. This book was released on 2022-05-31 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: Translating Euclid reports on an effort to transform geometry for students from a stylus-and-clay-tablet corpus of historical theorems to a stimulating computer-supported collaborative-learning inquiry experience. The origin of geometry was a turning point in the pre-history of informatics, literacy, and rational thought. Yet, this triumph of human intellect became ossified through historic layers of systematization, beginning with Euclid’s organization of the Elements of geometry. Often taught by memorization of procedures, theorems, and proofs, geometry in schooling rarely conveys its underlying intellectual excitement. The recent development of dynamic-geometry software offers an opportunity to translate the study of geometry into a contemporary vernacular. However, this involves transformations along multiple dimensions of the conceptual and practical context of learning. Translating Euclid steps through the multiple challenges involved in redesigning geometry education to take advantage of computer support. Networked computers portend an interactive approach to exploring dynamic geometry as well as broadened prospects for collaboration. The proposed conception of geometry emphasizes the central role of the construction of dependencies as a design activity, integrating human creation and mathematical discovery to form a human-centered approach to mathematics. This book chronicles an iterative effort to adapt technology, theory, pedagogy and practice to support this vision of collaborative dynamic geometry and to evolve the approach through on-going cycles of trial with students and refinement of resources. It thereby provides a case study of a design-based research effort in computer-supported collaborative learning from a human-centered informatics perspective.
Download or read book Effects of Dynamic Geometry Software on Depth of Student Understanding written by Daniel H. Penner and published by . This book was released on 2007 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Thinking as Communicating written by Anna Sfard and published by Cambridge University Press. This book was released on 2008-01-21 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an attempt to change our thinking about thinking. Anna Sfard undertakes this task convinced that many long-standing, seemingly irresolvable quandaries regarding human development originate in ambiguities of the existing discourses on thinking. Standing on the shoulders of Vygotsky and Wittgenstein, the author defines thinking as a form of communication. The disappearance of the time-honoured thinking-communicating dichotomy is epitomised by Sfard's term, commognition, which combines communication with cognition. The commognitive tenet implies that verbal communication with its distinctive property of recursive self-reference may be the primary source of humans' unique ability to accumulate the complexity of their action from one generation to another. The explanatory power of the commognitive framework and the manner in which it contributes to our understanding of human development is illustrated through commognitive analysis of mathematical discourse accompanied by vignettes from mathematics classrooms.
Download or read book Eureka Math Geometry Study Guide written by Great Minds and published by John Wiley & Sons. This book was released on 2016-06-14 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: The team of teachers and mathematicians who created Eureka Math believe that it's not enough for students to know the process for solving a problem; they need to know why that process works. That's why students who learn math with Eureka can solve real-world problems, even those they have never encountered before. The Study Guides are a companion to the Eureka Math program, whether you use it online or in print. The guides collect the key components of the curriculum for each grade in a single volume. They also unpack the standards in detail so that anyone—even non-Eureka users—can benefit. The guides are particularly helpful for teachers or trainers seeking to undertake or lead a meaningful study of the grade level content in a way that highlights the coherence between modules and topics. We're here to make sure you succeed with an ever-growing library of resources. Take advantage of the full set of Study Guides available for each grade, PK-12, or materials at eureka-math.org, such as free implementation and pacing guides, material lists, parent resources, and more.
Download or read book Perspectives on the Teaching of Geometry for the 21st Century written by C. Mammana and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years geometry seems to have lost large parts of its former central position in mathematics teaching in most countries. However, new trends have begun to counteract this tendency. There is an increasing awareness that geometry plays a key role in mathematics and learning mathematics. Although geometry has been eclipsed in the mathematics curriculum, research in geometry has blossomed as new ideas have arisen from inside mathematics and other disciplines, including computer science. Due to reassessment of the role of geometry, mathematics educators and mathematicians face new challenges. In the present ICMI study, the whole spectrum of teaching and learning of geometry is analysed. Experts from all over the world took part in this study, which was conducted on the basis of recent international research, case studies, and reports on actual school practice. This book will be of particular interest to mathematics educators and mathematicians who are involved in the teaching of geometry at all educational levels, as well as to researchers in mathematics education.
Download or read book Designing Learning Environments for Developing Understanding of Geometry and Space written by Richard Lehrer and published by Routledge. This book was released on 2012-11-12 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reflects an appreciation of the interactive roles of subject matter, teacher, student, and technologies in designing classrooms that promote understanding of geometry and space. Although these elements of geometry education are mutually constituted, the book is organized to highlight, first, the editors' vision of a general geometry education; second, the development of student thinking in everyday and classroom contexts; and third, the role of technologies. Rather than looking to high school geometry as the locus--and all too often, the apex--of geometric reasoning, the contributors to this volume suggest that reasoning about space can and should be successfully integrated with other forms of mathematics, starting at the elementary level and continuing through high school. Reintegrating spatial reasoning into the mathematical mainstream--indeed, placing it at the core of K-12 mathematics environments that promote learning with understanding--will mean increased attention to problems in modeling, structure, and design and reinvigoration of traditional topics such as measure, dimension, and form. Further, the editors' position is that the teaching of geometry and spatial visualization in school should not be compressed into a characterization of Greek geometry, but should include attention to contributions to the mathematics of space that developed subsequent to those of the Greeks. This volume is essential reading for those involved in mathematics education at all levels, including university faculty, researchers, and graduate students.
