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Author: Earl Hunt
Publisher: Cambridge University Press
ISBN: 1139459988
Category : Psychology
Languages : en
Pages : 328
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Book Description
Mathematical thinking provides a clear, crisp way of defining problems. Our whole technology is based on it. What is less appreciated is that mathematical thinking can also be applied to problems in the social and behavioral sciences. This book illustrates how mathematics can be used to understand human and animal behavior, using examples in psychology, sociology, economics, ecology, and even marriage counseling.
Author: Earl Hunt
Publisher: Cambridge University Press
ISBN: 1139459988
Category : Psychology
Languages : en
Pages : 328
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Book Description
Mathematical thinking provides a clear, crisp way of defining problems. Our whole technology is based on it. What is less appreciated is that mathematical thinking can also be applied to problems in the social and behavioral sciences. This book illustrates how mathematics can be used to understand human and animal behavior, using examples in psychology, sociology, economics, ecology, and even marriage counseling.
Author: Giovanni Naldi
Publisher: Springer Science & Business Media
ISBN: 0817649468
Category : Mathematics
Languages : en
Pages : 437
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Book Description
Using examples from finance and modern warfare to the flocking of birds and the swarming of bacteria, the collected research in this volume demonstrates the common methodological approaches and tools for modeling and simulating collective behavior. The topics presented point toward new and challenging frontiers of applied mathematics, making the volume a useful reference text for applied mathematicians, physicists, biologists, and economists involved in the modeling of socio-economic systems.
Author: Jeffrey Carpenter
Publisher: MIT Press
ISBN: 0262047292
Category : Mathematics
Languages : en
Pages : 725
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Book Description
An introduction to game theory that offers not only theoretical tools but also the intuition and behavioral insights to apply these tools to real-world situations. This introductory text on game theory provides students with both the theoretical tools to analyze situations through the logic of game theory and the intuition and behavioral insights to apply these tools to real-world situations. It is unique among game theory texts in offering a clear, formal introduction to standard game theory while incorporating evidence from experimental data and introducing recent behavioral models. Students will not only learn about incentives, how to represent situations as games, and what agents “should” do in these situations, but they will also be presented with evidence that either confirms the theoretical assumptions or suggests a way in which the theory might be updated. Features: Each chapter begins with a motivating example that can be run as an experiment and ends with a discussion of the behavior in the example. Parts I–IV cover the fundamental “nuts and bolts” of any introductory game theory course, including the theory of games, simple games with simultaneous decision making by players, sequential move games, and incomplete information in simultaneous and sequential move games. Parts V–VII apply the tools developed in previous sections to bargaining, cooperative game theory, market design, social dilemmas, and social choice and voting. Part VIII offers a more in-depth discussion of behavioral game theory models including evolutionary and psychological game theory. Instructor resources include solutions to end-of-chapter exercises, worksheets for running each chapter's experimental games using pencil and paper, and the oTree codes for running the games online.
Author: J.C. Willems
Publisher: Springer Science & Business Media
ISBN: 1475729537
Category : Mathematics
Languages : en
Pages : 446
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Book Description
Using the behavioural approach to mathematical modelling, this book views a system as a dynamical relation between manifest and latent variables. The emphasis is on dynamical systems that are represented by systems of linear constant coefficients. The first part analyses the structure of the set of trajectories generated by such dynamical systems, and derives the conditions for two systems of differential equations to be equivalent in the sense that they define the same behaviour. In addition the memory structure of the system is analysed through state space models. The second part of the book is devoted to a number of important system properties, notably controllability, observability, and stability. In the third part, control problems are considered, in particular stabilisation and pole placement questions. Suitable for advanced undergraduate or beginning graduate students in mathematics and engineering, this text contains numerous exercises, including simulation problems, and examples, notably of mechanical systems and electrical circuits.
Author: Gabriele Kaiser
Publisher: Springer
ISBN: 3030156362
Category : Education
Languages : en
Pages : 528
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Book Description
The purpose of this Open Access compendium, written by experienced researchers in mathematics education, is to serve as a resource for early career researchers in furthering their knowledge of the state of the field and disseminating their research through publishing. To accomplish this, the book is split into four sections: Empirical Methods, Important Mathematics Education Themes, Academic Writing and Academic Publishing, and a section Looking Ahead. The chapters are based on workshops that were presented in the Early Career Researcher Day at the 13th International Congress on Mathematical Education (ICME-13). The combination of presentations on methodological approaches and theoretical perspectives shaping the field in mathematics education research, as well as the strong emphasis on academic writing and publishing, offered strong insight into the theoretical and empirical bases of research in mathematics education for early career researchers in this field. Based on these presentations, the book provides a state-of-the-art overview of important theories from mathematics education and the broad variety of empirical approaches currently widely used in mathematics education research. This compendium supports early career researchers in selecting adequate theoretical approaches and adopting the most appropriate methodological approaches for their own research. Furthermore, it helps early career researchers in mathematics education to avoid common pitfalls and problems while writing up their research and it provides them with an overview of the most important journals for research in mathematics education, helping them to select the right venue for publishing and disseminating their work.
Author: Robert Wichers
Publisher: Elsevier
ISBN: 0080525849
Category : Psychology
Languages : en
Pages : 219
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Book Description
A Theory of Individual Behavior dispels the notion that individuals act as rational agents and strives to capture idiosyncratic humanness through rigorous mathematics. Wichers describes a version of economic behavior that is more comprehensive and satisfying than neoclassical models yet still consistent with the usual aggregated concepts that form the basis of applied microeconomics. Written in an accessible and convincing style, A Theory of Individual Behavior discusses innovative material in a format that encourages classroom use. All chapters have questions at their conclusions, and there is a strong emphasis on testable results. The book contains a short review of mathematical models and discussion of received microeconomic theory, as well as summaries at the ends of chapters and many examples and illustrations. - Dispels the notion that individuals act as rational agents while capturing idiosyncratic human behavior through rigorous mathematics - Presents an innovative approach to the evolution of microeconomic theory - Promotes advances in behavioral theories in the social sciences, including psychology and sociology - Delivers an accessible style with a strong emphasis on testable results
Author: Jessica Djabrayan Hannigan
Publisher: Corwin Press
ISBN: 1544340109
Category : Education
Languages : en
Pages : 255
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Book Description
Build the behavior system your students need and deserve Students deserve a safe, welcoming, and tolerant learning environment in which high expectations for academic and social/emotional learning will flourish. To achieve this, schools must implement consistent behavior initiatives that are rooted in equity and clear in outcome and purpose. Which plan is best for your students’ needs? In Building Behavior, authors Jessica Djabrayan Hannigan and John Hannigan identify the strengths of six major research-based behavior initiatives and offer practical guidance for implementing one or more that meet the unique needs of your students and school. They explore and connect the relationship of effect sizes and influence of six common behavior initiatives—Positive Behavior Interventions and Supports, Character Education, Restorative Justice, Culturally Responsive Teaching, Trauma Informed Practices, and Social and Emotional Learning—to help educators understand the purpose of each and give school leaders a starting point for adding to, refining, or building a tailored behavior system that is effective and manageable. Building Behavior includes: Common definitions, frameworks, best practice resources, and tips for implementing and synthesizing each of the behavior initiatives Reflective prompts that connect the existing body of knowledge with real life experiences and practices Reproducible resources, including sample schoolwide and district-wide assessments Tips to avoid common implementation challenges and missteps Don’t just reach for the "next best thing." Learn to select, self-assess, and build a plan for effective implementation of a behavior system that meets the diverse academic and social/emotional learning needs of your students. "This book offers comprehensive, unbiased information on effective behavior initiatives and provides effective tools for implementing the action plan that best fits a school. It provides a one-stop shop that educators can use to evaluate their current behavior plan, research the most current behavior initiatives, and tailor-fit an initiative for their school." - Mandy White, Science Teacher, Vicenza Middle School, U.S. Department of Defense Education Activity
Author: R. Duncan Luce
Publisher: Courier Corporation
ISBN: 0486153398
Category : Mathematics
Languages : en
Pages : 172
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Book Description
This treatise presents a mathematical analysis of choice behavior. Starting with a general axiom, it then examines applications of the theory to substantive problems: psychophysics, utility, and learning. 1959 edition.
Author: Barry Garelick
Publisher: John Catt
ISBN: 1914351096
Category : Education
Languages : en
Pages : 119
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Book Description
“Tell the administration what they want to hear, then do what is best for your students.” That’s advice Barry Garelick tries to follow in the process of becoming a fully credentialed teacher which entails being monitored by two mentors. As the Mark Twain of education writing, Garelick presents this collection of essays which chronicle his experiences at two schools, teaching math. With essays such as, “Not Making Sense, and a Conversation I Never Had; “Math Talk”, Stalin’s Hemorrhoids and Murder of Crows”, Garelick gives the reader a verité-style glimpse into the daily routines of math teaching and exposes a lot of the nonsense that teachers are advised to follow, and which they feel guilty about when they don’t.
Author: Brian Hazlett
Publisher: Elsevier
ISBN: 0323159648
Category : Science
Languages : en
Pages : 233
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Book Description
Quantitative Methods in the Study of Animal Behavior covers a symposium on quantitative methods in behavior. In this book, mathematics is used in two ways – statistical approaches (techniques that describe the main patterns and variability of behavior patterns) and model building. Composed of six chapters, the book opens with a discussion on the three areas of classical ethology – social dominance, behavioral taxonomy, and behavioral variability. The following chapter focuses on the information theory as an ethological tool. In Chapter 3, application of multivariate analyses to diverse ethological data is discussed. The next part of the book discusses more in detail the animal behavioral patterns, relationships, and sequences. The book is a good reference for various fields such as biological science, marine science, and zoology. Students, teachers, scientists, and researchers interested in the aspects of statistics and patterns in animal behavior can make use of this book as a valuable resource.
