Download or read book Teaching and Learning Patterns in School Mathematics written by Ferdinand Rivera and published by Springer Science & Business Media. This book was released on 2014-07-08 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book synthesizes research findings on patterns in the last twenty years or so in order to argue for a theory of graded representations in pattern generalization. While research results drawn from investigations conducted with different age-level groups have sufficiently demonstrated varying shifts in structural awareness and competence, which influence the eventual shape of an intended generalization, such shifts, however, are not necessarily permanent due to other pertinent factors such as the complexity of patterning tasks. The book proposes an alternative view of pattern generalization, that is, one that is not about shifts or transition phases but graded depending on individual experiences with target patterns. The theory of graded representations involving pattern generalization offers a much more robust understanding of differences in patterning competence since it is sensitive to varying levels of entry into generalization. Empirical evidence will be provided to demonstrate this alternative view, which is drawn from the author’s longitudinal work with elementary and middle school children, including several investigations conducted with preservice elementary majors. Two chapters of the book will be devoted to extending pattern generalization activity to arithmetic and algebraic learning of concepts and processes. The concluding chapter addresses the pedagogical significance of pattern learning in the school mathematics curriculum.
Download or read book Learning Patterns in Higher Education written by David Gijbels and published by Routledge. This book was released on 2013-09-11 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learning Patterns in Higher Education brings together a cutting edge international team of contributors to critically review our current understanding of how students and adults learn, how differences and changes in the way students learn can be measured in a valid and reliable way, and how the quality of student learning may be enhanced. There is substantial evidence that students in higher education have a characteristic way of learning, sometimes called their learning orientation (Biggs 1988), learning style (Evans et al. 2010) or learning pattern (Vermunt and Vermetten 2004). However, recent research in the field of student learning has resulted in multi-faceted and sometimes contradictory results which may reflect conceptual differences and differences in measurement of student learning in each of the studies. This book deals with the need for further clarification of how students learn in higher education in the 21st century and to what extent the measurements often used in learning pattern studies are still up to date or can be advanced with present methodological and statistical insights to capture the most important differences and changes in student learning. The contributions in the book are organized in two parts: a first conceptual and psychological part in which the dimensions of student learning in the 21st century are discussed and a second empirical part in which questions related to how students’ learning can be measured and how it develops are considered. Areas covered include: Cultural influences on learning patterns Predicting learning outcomes Student centred learning environments and self-directed learning Mathematics learning This indispensable book covers multiple conceptual perspectives on how learning patterns can be described and effects and developments can be measured, and will not only be helpful for ‘learning researchers’ as such but also for educational researchers from the broad domain of educational psychology, motivation psychology and instructional sciences, who are interested in student motivation, self-regulated learning, effectiveness of innovative learning environments, as well as assessment and evaluation of student characteristics and learning process variables.
Download or read book Instructional Patterns written by Larry C. Holt and published by SAGE. This book was released on 2006 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Instructional Patterns: Strategies for Maximizing Student Learning examines instruction from the learners' point of view by showing how instructional patterns can be used to maximize the potential for students to learn. This book explores the interactive patterns that exist in today's classroom and demonstrates how teachers can facilitate the interactivity of these patterns to match their goals for student learning. These interactive patterns are reinforced through the incorporation of medical, cognitive, and behavioral neuroscience research.
Download or read book Pedagogical Patterns written by Joseph Bergin and published by Createspace Independent Publishing Platform. This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of patterns proposes some successful techniques to assist with teaching and learning, especially of technical subjects. For professional educators, these patterns may seem obvious, even trivial, because they have used them so often. But for those newer to teaching, they offer a way to obtain the deep knowledge of experienced teachers. Patterns are not step-by-step recipes. Each of these offers a format and a process for transferring knowledge that can then be used by a variety of different teachers in many different ways. While most of the authors are involved in some aspect of computing and informatics, and so the examples are mostly drawn from those fields, much of the advice is general enough to be applied to other disciplines. The advice is not restricted to formal education, but has been used in various training scenarios as well. Most educators and trainers are not taught how to teach. Rather, they often find themselves teaching by accident. Typically, a person with a skill that is in demand, such as a particular programming language, will be asked to teach it. People assume that if the person is good in this programming language, she will be good at teaching it. But knowing the subject matter is very different from knowing how to teach it. Effectively communicating complex technologies is often a struggle for information technology instructors. They may try various teaching strategies, but this trial and error process can be time-consuming and fraught with error. Advice is often sought from other expert instructors, but these individuals are not always readily available. This creates the need to find other ways to facilitate the sharing of teaching techniques between expert and novice teachers.This is the goal of the Pedagogical Patterns Project. Pedagogy is a term that refers to the systematized learning or instruction concerning principles and methods of teaching. Patterns provide a method for capturing and communicating the deep knowledge in a field. As an example, imagine that you are looking for an effective way to teach message passing to experienced programmers in a weeklong industry course. A friend who is teaching a semester-long object technology course to traditional age university students has found an effective technique. He shares it with you without dictating the specific implementation details. This allows you to use your own creativity to implement the technique in a way that is most comfortable for you and most useful for your industry students. This is the essence of patterns: to offer a format and a process for sharing successful practices in a way that allows each practice to be used by a variety of people in many different ways.This pattern language contains patterns from the Pedagogical Patterns effort, which has been ongoing for over ten years. They have been revised and rewritten in Alexandrian form in order to support the integration into a pattern language. The currently available patterns focus on a classroom situation at beginners to advanced level. The editors and authors are a mix of industrial trainers and university educators with a wealth of experience. Some teach small groups face to face and others teach huge courses delivered over the internet. Everything here is useful for secondary education onwards. The patterns in this pattern language use a form similar to the one used by Christopher Alexander in his book A Pattern Language. This book introduced patterns to the world of architecture, from whence it has spread throughout the computing and educational disciplines.
Download or read book Pattern Language for Game Design written by Christopher Barney and published by CRC Press. This book was released on 2020-12-08 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chris Barney’s Pattern Language for Game Design builds on the revolutionary work of architect Christopher Alexander to show students, teachers, and game development professionals how to derive best practices in all aspects of game design. Using a series of practical, rigorous exercises, designers can observe and analyze the failures and successes of the games they know and love to find the deep patterns that underlie good design. From an in-depth look at Alexander’s work, to a critique of pattern theory in various fields, to a new approach that will challenge your knowledge and put it to work, this book seeks to transform how we look at building the interactive experiences that shape us. Key Features: Background on the architectural concepts of patterns and a Pattern Language as defined in the work of Christopher Alexander, including his later work on the Fifteen Properties of Wholeness and Generative Codes. Analysis of other uses of Alexander’s work in computer science and game design, and the limitations of those efforts. A comprehensive set of example exercises to help the reader develop their own patterns that can be used in practical day-to-day game design tasks. Exercises that are useful to designers at all levels of experience and can be completed in any order, allowing students to select exercises that match their coursework and allowing professionals to select exercises that address their real-world challenges. Discussion of common pitfalls and difficulties with the pattern derivation process. A guide for game design teachers, studio leaders, and university departments for curating and maintaining institutional Pattern Languages. An Interactive Pattern Language website where you can share patterns with developers throughout the world (patternlanguageforgamedesign.com). Comprehensive games reference for all games discussed in this book. Author Chris Barney is an industry veteran with more than a decade of experience designing and engineering games such as Poptropica and teaching at Northeastern University. He has spoken at conferences, including GDC, DevCom, and PAX, on topics from core game design to social justice. Seeking degrees in game design before formal game design programs existed, Barney built his own undergraduate and graduate curricula out of offerings in sociology, computer science, and independent study. In pursuit of a broad understanding of games, he has worked on projects spanning interactive theater, live-action role-playing game (LARP) design, board games, and tabletop role-playing games (RPGs). An extensive collection of his essays of game design topics can be found on his development blog at perspectivesingamedesign.com.
Download or read book Teaching as a Design Science written by Diana Laurillard and published by Routledge. This book was released on 2013-06-19 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaching is changing. It is no longer simply about passing on knowledge to the next generation. Teachers in the twenty-first century, in all educational sectors, have to cope with an ever-changing cultural and technological environment. Teaching is now a design science. Like other design professionals – architects, engineers, programmers – teachers have to work out creative and evidence-based ways of improving what they do. Yet teaching is not treated as a design profession. Every day, teachers design and test new ways of teaching, using learning technology to help their students. Sadly, their discoveries often remain local. By representing and communicating their best ideas as structured pedagogical patterns, teachers could develop this vital professional knowledge collectively. Teacher professional development has not embedded in the teacher’s everyday role the idea that they could discover something worth communicating to other teachers, or build on each others’ ideas. Could the culture change? From this unique perspective on the nature of teaching, Diana Laurillard argues that a twenty-first century education system needs teachers who work collaboratively to design effective and innovative teaching.
Download or read book Patterns of Thinking written by John H. Clarke and published by Allyn & Bacon. This book was released on 1990 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematics as the Science of Patterns written by Patrick M. Jenlink and published by . This book was released on 2022 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics as the Science of Patterns: Making the Invisible Visible to Students through Teaching introduces the reader to a collection of thoughtful, research-based works by authors that represent current thinking about mathematics, mathematics education, and the preparation of mathematics teachers. Each chapter focuses on mathematics teaching and the preparation of teachers who will enter classrooms to instruct the next generation of students in mathematics. The value of patterns to the teaching and learning of mathematics is well understood, both in terms of research and application. When we involve or appeal to pattern in teaching mathematics, it is usually because we are trying to help students to extract greater meaning, or enjoyment, or both, from the experience of learning environments within which they are occupied, and perhaps also to facilitate remembering. As a general skill it is thought that the ability to discern a pattern is a precursor to the ability to generalize and abstract, a skill essential in the early years of learning and beyond. Research indicates that the larger problem in teaching mathematics does not lie primarily with students; rather it is with the teachers themselves. In order to make changes for students there first needs to be a process of change for teachers. Understanding the place of patterns in learning mathematics is a predicate to understanding how to teach mathematics and how to use pedagogical reasoning necessary in teaching mathematics. Importantly, the lack of distinction created by the pedagogical use of patterns is not immediately problematic to the student or the teacher. The deep-seated cognitive patterns that both teachers and students bring to the classroom require change. Chapter 1 opens the book with a focus on mathematics as the science of patterns and the importance of patterns in mathematical problem solving, providing the reader with an introduction. The authors of Chapter 2 revisit the work of Pólya and the development and implementation of problem solving in mathematics. In Chapter 3, the authors present an argument for core pedagogical content knowledge in mathematics teacher preparation. The authors of Chapter 4 focus on preservice teachers' patterns of conception as related to understanding number and operation. In Chapter 5 the authors examine the role of visual representation in exploring proportional reasoning, denoting the importance of helping learners make their thinking visible. The authors of Chapter 6 examine patterns and relationships, and the importance of each in assisting students' learning and development in mathematical understanding. The authors of Chapter 7 examine the use of worked examples as a scalable practice, with emphasis on the importance of worked examples in teaching fraction magnitude and computation is discussed. In Chapter 8, the authors expand on the zone of proximal development to investigate the potential of Zankov's Lesson in terms of students analyzing numerical equalities. The authors of Chapter 9 focus on high leverage mathematical practices in elementary pre-service teacher preparation, drawing into specific relief the APEX cycle to develop deep thinking. In Chapter 10, the author focuses on number talks and the engagement of students in mathematical reasoning, which provides opportunities for students to be sensemakers of mathematics. Chapter 11 presents an epilogue, focusing on the importance of recognizing the special nature of mathematics knowledge for teaching.
Download or read book Investigations of E learning Patterns written by Christian Kohls and published by IGI Global. This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book addresses e-learning patterns in software development, providing an accessible language to communicate sophisticated knowledge and important research methods and results"--Provided by publisher.
Download or read book Textual Patterns written by Mike Scott and published by John Benjamins Publishing. This book was released on 2006-01-01 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Textual Patterns introduces corpus resources, tools and analytic frameworks of central relevance to language teachers and teacher educators. Specifically it shows how key word analysis, combined with the systematic study of vocabulary and genre, can form the basis for a corpus informed approach to language teaching. The first part of the book gives the reader a strong grounding in the way in which language teachers can use corpus analysis tools (wordlists, concordances, key words) to describe language patterns in general and text patterns in particular. The second section presents a series of case studies which show how a key word / corpus informed approach to language education can work in practice. The case studies include: General language education (i.e. students in national education systems and those following international examination programmes), foreign languages for academic purposes, literature in language education, business and professional communication, and cultural studies in language education.
Download or read book Pattern Fish written by Trudy Harris and published by Millbrook Press. This book was released on 2000 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: Illustrations and rhyming text describe various patterns depicted by different fish. Includes related activities.
Download or read book Patterns in Mathematics Classroom Interaction written by Jenni Ingram and published by . This book was released on 2021-03-02 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Patterns in Mathematics Classroom Interaction describes, exemplifies and considers the implications of patterns and structures of mathematics classroom interaction.
Download or read book Student Driven Learning Strategies for the 21st Century Classroom written by Alias, Nor Aziah and published by IGI Global. This book was released on 2016-11-09 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: The creation of a successful learning environment involves the examination and improvement upon current teaching practices. As new strategies emerge, it becomes imperative to incorporate them into the classroom. Student-Driven Learning Strategies for the 21st Century Classroom provides a thorough examination of the benefits and challenges experienced in learner-driven educational settings and how to effectively engage students in these environments. Focusing on technological perspectives, emerging pedagogies, and curriculum development, this book is ideally designed for educators, learning designers, upper-level students, professionals, and researchers interested in innovative approaches to student-driven education.
Download or read book Patterns Everywhere written by Kari Jenson Gold and published by . This book was released on 2000-01-01 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: Student Book
Download or read book Biggie Patterns With a Purpose written by Maria L. Chang and published by . This book was released on 2006-03 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 160 patterns designed to meet the needs of the curriculum, the classroom, and the students.
Download or read book Patterns of Nature written by Velina Hoover and published by . This book was released on 1982-01-01 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Workbook consists of 30 lessons. Such subjects as seasons, seeds, wildflowers, weeds, trees, mammals, insects, songbirds, and the celestial bodies are introduced. Pupils learn the colors of birds, mammals, and parts of trees by coloring them in their workbooks. Most exercises in the workbook are self-explanatory. A review and a test follow every fifth lesson.
Download or read book Pitter Pattern written by Joyce Hesselberth and published by Greenwillow Books. This book was released on 2020 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lu and her friends spot patterns in their daily activities, including patterns found in music, weather, time, play, shapes, nature, math, and language.
