Author: Brad S. Fulton
Publisher:
ISBN: 9781559533959
Category : Education
Languages : en
Pages : 0
Book Description
Introduces students in pre-algebra and algebra to the fundamental concept of function and its multiple representations. Use these progressively paced activities as either an introductory unit or as specialized review. Recognize geometric patterns and number patterns, use T-tables to record the sequences of patterns, graph linear and non-linear functions, write formulas in fuction and x-y notation, and navigate between multiple forms of function.
The Pattern and Function Connection
Author: Brad S. Fulton
Publisher:
ISBN: 9781559533959
Category : Education
Languages : en
Pages : 0
Book Description
Introduces students in pre-algebra and algebra to the fundamental concept of function and its multiple representations. Use these progressively paced activities as either an introductory unit or as specialized review. Recognize geometric patterns and number patterns, use T-tables to record the sequences of patterns, graph linear and non-linear functions, write formulas in fuction and x-y notation, and navigate between multiple forms of function.
Publisher:
ISBN: 9781559533959
Category : Education
Languages : en
Pages : 0
Book Description
Introduces students in pre-algebra and algebra to the fundamental concept of function and its multiple representations. Use these progressively paced activities as either an introductory unit or as specialized review. Recognize geometric patterns and number patterns, use T-tables to record the sequences of patterns, graph linear and non-linear functions, write formulas in fuction and x-y notation, and navigate between multiple forms of function.
Planting the Seeds of Algebra, PreK2
Author: Monica Neagoy
Publisher: Corwin Press
ISBN: 1412996600
Category : Education
Languages : en
Pages : 210
Book Description
The subject of algebra has always been important in American secondary mathematics education. However, algebra at the elementary level has been garnering increasing attention and importance over the past 15 years. There is consequently a dire need for ideas, suggestions and models for how best to achieve pre-algebraic instruction in the elementary grades. Planting the Seeds of Algebra will empower teachers with theoretical and practical knowledge about both the content and pedagogy of such instruction, and show them the different faces of algebra as it appears in the early grades. The book will walk teachers of young children through many examples of K-6 math lessons and unpack, step by step, the hidden connections to higher algebra. After reading this book, teachers will be better equipped ...
Publisher: Corwin Press
ISBN: 1412996600
Category : Education
Languages : en
Pages : 210
Book Description
The subject of algebra has always been important in American secondary mathematics education. However, algebra at the elementary level has been garnering increasing attention and importance over the past 15 years. There is consequently a dire need for ideas, suggestions and models for how best to achieve pre-algebraic instruction in the elementary grades. Planting the Seeds of Algebra will empower teachers with theoretical and practical knowledge about both the content and pedagogy of such instruction, and show them the different faces of algebra as it appears in the early grades. The book will walk teachers of young children through many examples of K-6 math lessons and unpack, step by step, the hidden connections to higher algebra. After reading this book, teachers will be better equipped ...
Maths Connect
Author: Dave Kirkby
Publisher: Heinemann
ISBN: 9780435534974
Category : Education
Languages : en
Pages : 252
Book Description
Maths connect provides consolidation, stretch and challenge for pupils of all abilities. This pupil's text in the blue tier provides an ideal route through Key Stage 3 for the middle-ability pupils.
Publisher: Heinemann
ISBN: 9780435534974
Category : Education
Languages : en
Pages : 252
Book Description
Maths connect provides consolidation, stretch and challenge for pupils of all abilities. This pupil's text in the blue tier provides an ideal route through Key Stage 3 for the middle-ability pupils.
Handbook of Spatial Point-Pattern Analysis in Ecology
Author: Thorsten Wiegand
Publisher: CRC Press
ISBN: 142008254X
Category : Mathematics
Languages : en
Pages : 542
Book Description
Understand How to Analyze and Interpret Information in Ecological Point Patterns Although numerous statistical methods for analyzing spatial point patterns have been available for several decades, they haven’t been extensively applied in an ecological context. Addressing this gap, Handbook of Spatial Point-Pattern Analysis in Ecology shows how the techniques of point-pattern analysis are useful for tackling ecological problems. Within an ecological framework, the book guides readers through a variety of methods for different data types and aids in the interpretation of the results obtained by point-pattern analysis. Ideal for empirical ecologists who want to avoid advanced theoretical literature, the book covers statistical techniques for analyzing and interpreting the information contained in ecological patterns. It presents methods used to extract information hidden in spatial point-pattern data that may point to the underlying processes. The authors focus on point processes and null models that have proven their immediate utility for broad ecological applications, such as cluster processes. Along with the techniques, the handbook provides a comprehensive selection of real-world examples. Most of the examples are analyzed using Programita, a continuously updated software package based on the authors’ many years of teaching and collaborative research in ecological point-pattern analysis. Programita is tailored to meet the needs of real-world applications in ecology. The software and a manual are available online.
Publisher: CRC Press
ISBN: 142008254X
Category : Mathematics
Languages : en
Pages : 542
Book Description
Understand How to Analyze and Interpret Information in Ecological Point Patterns Although numerous statistical methods for analyzing spatial point patterns have been available for several decades, they haven’t been extensively applied in an ecological context. Addressing this gap, Handbook of Spatial Point-Pattern Analysis in Ecology shows how the techniques of point-pattern analysis are useful for tackling ecological problems. Within an ecological framework, the book guides readers through a variety of methods for different data types and aids in the interpretation of the results obtained by point-pattern analysis. Ideal for empirical ecologists who want to avoid advanced theoretical literature, the book covers statistical techniques for analyzing and interpreting the information contained in ecological patterns. It presents methods used to extract information hidden in spatial point-pattern data that may point to the underlying processes. The authors focus on point processes and null models that have proven their immediate utility for broad ecological applications, such as cluster processes. Along with the techniques, the handbook provides a comprehensive selection of real-world examples. Most of the examples are analyzed using Programita, a continuously updated software package based on the authors’ many years of teaching and collaborative research in ecological point-pattern analysis. Programita is tailored to meet the needs of real-world applications in ecology. The software and a manual are available online.
VLSI: Systems on a Chip
Author: Luis Miguel Silveira
Publisher: Springer
ISBN: 0387354980
Category : Technology & Engineering
Languages : en
Pages : 692
Book Description
For over three decades now, silicon capacity has steadily been doubling every year and a half with equally staggering improvements continuously being observed in operating speeds. This increase in capacity has allowed for more complex systems to be built on a single silicon chip. Coupled with this functionality increase, speed improvements have fueled tremendous advancements in computing and have enabled new multi-media applications. Such trends, aimed at integrating higher levels of circuit functionality are tightly related to an emphasis on compactness in consumer electronic products and a widespread growth and interest in wireless communications and products. These trends are expected to persist for some time as technology and design methodologies continue to evolve and the era of Systems on a Chip has definitely come of age. While technology improvements and spiraling silicon capacity allow designers to pack more functions onto a single piece of silicon, they also highlight a pressing challenge for system designers to keep up with such amazing complexity. To handle higher operating speeds and the constraints of portability and connectivity, new circuit techniques have appeared. Intensive research and progress in EDA tools, design methodologies and techniques is required to empower designers with the ability to make efficient use of the potential offered by this increasing silicon capacity and complexity and to enable them to design, test, verify and build such systems.
Publisher: Springer
ISBN: 0387354980
Category : Technology & Engineering
Languages : en
Pages : 692
Book Description
For over three decades now, silicon capacity has steadily been doubling every year and a half with equally staggering improvements continuously being observed in operating speeds. This increase in capacity has allowed for more complex systems to be built on a single silicon chip. Coupled with this functionality increase, speed improvements have fueled tremendous advancements in computing and have enabled new multi-media applications. Such trends, aimed at integrating higher levels of circuit functionality are tightly related to an emphasis on compactness in consumer electronic products and a widespread growth and interest in wireless communications and products. These trends are expected to persist for some time as technology and design methodologies continue to evolve and the era of Systems on a Chip has definitely come of age. While technology improvements and spiraling silicon capacity allow designers to pack more functions onto a single piece of silicon, they also highlight a pressing challenge for system designers to keep up with such amazing complexity. To handle higher operating speeds and the constraints of portability and connectivity, new circuit techniques have appeared. Intensive research and progress in EDA tools, design methodologies and techniques is required to empower designers with the ability to make efficient use of the potential offered by this increasing silicon capacity and complexity and to enable them to design, test, verify and build such systems.
Connections and Symbols
Author: Steven Pinker
Publisher: MIT Press
ISBN: 9780262660648
Category : Psychology
Languages : en
Pages : 272
Book Description
Connections and Symbols provides the first systematic analysis of the explosive new field of Connectionism that is challenging the basic tenets of cognitive science. Does intelligence result from the manipulation of structured symbolic expressions? Or is it the result of the activation of large networks of densely interconnected simple units? Connections and Symbols provides the first systematic analysis of the explosive new field of Connectionism that is challenging the basic tenets of cognitive science. These lively discussions by Jerry A. Fodor, Zenon W. Pylyshyn, Steven Pinker, Alan Prince, Joel Lechter, and Thomas G. Bever raise issues that lie at the core of our understanding of how the mind works: Does connectionism offer it truly new scientific model or does it merely cloak the old notion of associationism as a central doctrine of learning and mental functioning? Which of the new empirical generalizations are sound and which are false? And which of the many ideas such as massively parallel processing, distributed representation, constraint satisfaction, and subsymbolic or microfeatural analyses belong together, and which are logically independent? Now that connectionism has arrived with full-blown models of psychological processes as diverse as Pavlovian conditioning, visual recognition, and language acquisition, the debate is on. Common themes emerge from all the contributors to Connections and Symbols: criticism of connectionist models applied to language or the parts of cognition employing language like operations; and a focus on what it is about human cognition that supports the traditional physical symbol system hypothesis. While criticizing many aspects of connectionist models, the authors also identify aspects of cognition that could he explained by the connectionist models. Connections and Symbols is included in the Cognition Special Issue series, edited by Jacques Mehler.
Publisher: MIT Press
ISBN: 9780262660648
Category : Psychology
Languages : en
Pages : 272
Book Description
Connections and Symbols provides the first systematic analysis of the explosive new field of Connectionism that is challenging the basic tenets of cognitive science. Does intelligence result from the manipulation of structured symbolic expressions? Or is it the result of the activation of large networks of densely interconnected simple units? Connections and Symbols provides the first systematic analysis of the explosive new field of Connectionism that is challenging the basic tenets of cognitive science. These lively discussions by Jerry A. Fodor, Zenon W. Pylyshyn, Steven Pinker, Alan Prince, Joel Lechter, and Thomas G. Bever raise issues that lie at the core of our understanding of how the mind works: Does connectionism offer it truly new scientific model or does it merely cloak the old notion of associationism as a central doctrine of learning and mental functioning? Which of the new empirical generalizations are sound and which are false? And which of the many ideas such as massively parallel processing, distributed representation, constraint satisfaction, and subsymbolic or microfeatural analyses belong together, and which are logically independent? Now that connectionism has arrived with full-blown models of psychological processes as diverse as Pavlovian conditioning, visual recognition, and language acquisition, the debate is on. Common themes emerge from all the contributors to Connections and Symbols: criticism of connectionist models applied to language or the parts of cognition employing language like operations; and a focus on what it is about human cognition that supports the traditional physical symbol system hypothesis. While criticizing many aspects of connectionist models, the authors also identify aspects of cognition that could he explained by the connectionist models. Connections and Symbols is included in the Cognition Special Issue series, edited by Jacques Mehler.
Brain Computations and Connectivity
Author: Edmund T. Rolls
Publisher: Oxford University Press
ISBN: 0198887930
Category : Psychology
Languages : en
Pages : 1174
Book Description
This is an open access title available under the terms of a CC BY-NC-ND 4.0 International licence. It is free to read on the Oxford Academic platform and offered as a free PDF download from OUP and selected open access locations. Brain Computations and Connectivity is about how the brain works. In order to understand this, it is essential to know what is computed by different brain systems; and how the computations are performed. The aim of this book is to elucidate what is computed in different brain systems; and to describe current biologically plausible computational approaches and models of how each of these brain systems computes. Understanding the brain in this way has enormous potential for understanding ourselves better in health and in disease. Potential applications of this understanding are to the treatment of the brain in disease; and to artificial intelligence which will benefit from knowledge of how the brain performs many of its extraordinarily impressive functions. This book is pioneering in taking this approach to brain function: to consider what is computed by many of our brain systems; and how it is computed, and updates by much new evidence including the connectivity of the human brain the earlier book: Rolls (2021) Brain Computations: What and How, Oxford University Press. Brain Computations and Connectivity will be of interest to all scientists interested in brain function and how the brain works, whether they are from neuroscience, or from medical sciences including neurology and psychiatry, or from the area of computational science including machine learning and artificial intelligence, or from areas such as theoretical physics.
Publisher: Oxford University Press
ISBN: 0198887930
Category : Psychology
Languages : en
Pages : 1174
Book Description
This is an open access title available under the terms of a CC BY-NC-ND 4.0 International licence. It is free to read on the Oxford Academic platform and offered as a free PDF download from OUP and selected open access locations. Brain Computations and Connectivity is about how the brain works. In order to understand this, it is essential to know what is computed by different brain systems; and how the computations are performed. The aim of this book is to elucidate what is computed in different brain systems; and to describe current biologically plausible computational approaches and models of how each of these brain systems computes. Understanding the brain in this way has enormous potential for understanding ourselves better in health and in disease. Potential applications of this understanding are to the treatment of the brain in disease; and to artificial intelligence which will benefit from knowledge of how the brain performs many of its extraordinarily impressive functions. This book is pioneering in taking this approach to brain function: to consider what is computed by many of our brain systems; and how it is computed, and updates by much new evidence including the connectivity of the human brain the earlier book: Rolls (2021) Brain Computations: What and How, Oxford University Press. Brain Computations and Connectivity will be of interest to all scientists interested in brain function and how the brain works, whether they are from neuroscience, or from medical sciences including neurology and psychiatry, or from the area of computational science including machine learning and artificial intelligence, or from areas such as theoretical physics.
Reconfigurable Computing: Architectures, Tools and Applications
Author: Phaophak Sirisuk
Publisher: Springer
ISBN: 3642121330
Category : Computers
Languages : en
Pages : 458
Book Description
Recon?gurable computing (RC) systems have generated considerable interest in the embedded and high-performance computing communities over the past two decades, with ?eld programmable gate arrays (FPGAs) as the leading techn- ogy at the helm of innovation in this discipline. Achieving orders of magnitude performance and power improvements using FPGAs over traditional microp- cessorsis not uncommon for well-suitedapplications. But even with two decades of research and technological advances, FPGA design still presents a subst- tial challenge and often necessitates hardware design expertise to exploit its true potential. Although the challenges to address the design productivity - sues are steep, the promise and the potential of the RC technology in terms of performance, power, size, and versatility continue to attract application design engineers and RC researchers alike. The International Symposium on Applied Recon?gurable Computing (ARC) aims to bring together researchers and practitioners of RC systems with an emphasis on practical applications and design methodologies of this promising technology. This year’s ARC symposium (The sixth ARC symposium) was held in Bangkok, Thailand during March 17–19, 2010, and attracted papers in three primary focus areas:RC applications, RC architectures, and RC design meth- ologies.
Publisher: Springer
ISBN: 3642121330
Category : Computers
Languages : en
Pages : 458
Book Description
Recon?gurable computing (RC) systems have generated considerable interest in the embedded and high-performance computing communities over the past two decades, with ?eld programmable gate arrays (FPGAs) as the leading techn- ogy at the helm of innovation in this discipline. Achieving orders of magnitude performance and power improvements using FPGAs over traditional microp- cessorsis not uncommon for well-suitedapplications. But even with two decades of research and technological advances, FPGA design still presents a subst- tial challenge and often necessitates hardware design expertise to exploit its true potential. Although the challenges to address the design productivity - sues are steep, the promise and the potential of the RC technology in terms of performance, power, size, and versatility continue to attract application design engineers and RC researchers alike. The International Symposium on Applied Recon?gurable Computing (ARC) aims to bring together researchers and practitioners of RC systems with an emphasis on practical applications and design methodologies of this promising technology. This year’s ARC symposium (The sixth ARC symposium) was held in Bangkok, Thailand during March 17–19, 2010, and attracted papers in three primary focus areas:RC applications, RC architectures, and RC design meth- ologies.
Combinatorial Pattern Matching
Author: Alberto Apostolico
Publisher: Springer Science & Business Media
ISBN: 3540262016
Category : Computers
Languages : en
Pages : 453
Book Description
This book constitutes the refereed proceedings of the 16th Annual Symposium on Combinatorial Pattern Matching, CPM 2005, held in Jeju island, Korea on June 19-22, 2005. The 37 revised full papers presented were carefully reviewed and selected from 129 submissions. They constitute original research contributions in combinatorial pattern matching and its applications. Among the application fields addressed are computational biology, bioinformatics, genomics, proteinomics, data compression, Sequence Analysis and Graphs, information retrieval, data analysis, and pattern recognition.
Publisher: Springer Science & Business Media
ISBN: 3540262016
Category : Computers
Languages : en
Pages : 453
Book Description
This book constitutes the refereed proceedings of the 16th Annual Symposium on Combinatorial Pattern Matching, CPM 2005, held in Jeju island, Korea on June 19-22, 2005. The 37 revised full papers presented were carefully reviewed and selected from 129 submissions. They constitute original research contributions in combinatorial pattern matching and its applications. Among the application fields addressed are computational biology, bioinformatics, genomics, proteinomics, data compression, Sequence Analysis and Graphs, information retrieval, data analysis, and pattern recognition.
Pattern Language for Game Design
Author: Christopher Barney
Publisher: CRC Press
ISBN: 1000259544
Category : Computers
Languages : en
Pages : 503
Book Description
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.
Publisher: CRC Press
ISBN: 1000259544
Category : Computers
Languages : en
Pages : 503
Book Description
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.