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Mathematical Modelling And Applications


Mathematical Modelling And Applications
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Mathematical Modelling And Applications


Mathematical Modelling And Applications
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Author : Gloria Ann Stillman
language : en
Publisher: Springer
Release Date : 2017-11-05

Mathematical Modelling And Applications written by Gloria Ann Stillman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-05 with Education categories.


This volume documents on-going research and theorising in the sub-field of mathematics education devoted to the teaching and learning of mathematical modelling and applications. Mathematical modelling provides a way of conceiving and resolving problems in the life world of people whether these range from the everyday individual numeracy level to sophisticated new problems for society at large. Mathematical modelling and real world applications are considered as having potential for multi-disciplinary work that involves knowledge from a variety of communities of practice such as those in different workplaces (e.g., those of educators, designers, construction engineers, museum curators) and in different fields of academic endeavour (e.g., history, archaeology, mathematics, economics). From an educational perspective, researching the development of competency in real world modelling involves research situated in crossing the boundaries between being a student engaged in modelling or mathematical application to real word tasks in the classroom, being a teacher of mathematical modelling (in or outside the classroom or bridging both), and being a modeller of the world outside the classroom. This is the focus of many of the authors of the chapters in this book. All authors of this volume are members of the International Community of Teachers of Mathematical Modelling (ICTMA), the peak research body into researching the teaching and learning of mathematical modelling at all levels of education from the early years to tertiary education as well as in the workplace.



Mathematical Modelling


Mathematical Modelling
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Author : Hemen Dutta
language : en
Publisher: American Mathematical Society
Release Date : 2023-07-07

Mathematical Modelling written by Hemen Dutta and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-07 with Mathematics categories.


This volume is a collection of chapters that present key ideas and theories, as well as their rigorous applications, required for the development of mathematical models in areas such as travelling waves, epidemiology, the chemotaxis system, atrial fibrillation, and vortex nerve complexes. The techniques, methodologies and approaches adopted in this book have relevance in several other fields including physics, biology, and sociology. Each chapter should also assist readers in comfortably comprehending the related and underlying ideas. The companion volume (Contemporary Mathematics, Volume 786) is devoted to principle and theory.



Modelling And Applications In Mathematics Education


Modelling And Applications In Mathematics Education
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Author : Peter L. Galbraith
language : en
Publisher: Springer
Release Date : 2014-09-20

Modelling And Applications In Mathematics Education written by Peter L. Galbraith and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-20 with Education categories.


The book aims at showing the state-of-the-art in the field of modeling and applications in mathematics education. This is the first volume to do this. The book deals with the question of how key competencies of applications and modeling at the heart of mathematical literacy may be developed; with the roles that applications and modeling may play in mathematics teaching, making mathematics more relevant for students.



Modelling And Applications In Mathematics Education


Modelling And Applications In Mathematics Education
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Author : Peter L. Galbraith
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-05

Modelling And Applications In Mathematics Education written by Peter L. Galbraith and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-05 with Education categories.


Among the themes that have been central to mathematics education dur ing the last 30 years are those of mathematical modelling and applications of mathematics to extra-mathematical fields. More generally we refer to these as relations between mathematics and the extra-mathematical world (some times also called the "real world") or preferably, according to Henry PoUak, the "rest of the world". That applications and modelling have been important themes in mathematics education can be inferred from the wealth of litera ture on these topics, including material generated from a multitude of na tional and international conferences. In particular let us mention firstly the ICMEs (the International Congresses on Mathematical Education), with their regular working or topic groups and lectures on applications and modelling; and secondly the series of ICTMAs (the International Conferences on the Teaching of Mathematical Modelling and Applications) which have been held biennially since 1983. Their Proceedings and Survey Lectures, have addressed the state-of-the-art at the relevant time, and contain many exam ples, studies, conceptual contributions and resources involving relations between the real world and mathematics, for all levels of the educational system. In curricula and textbooks we find today many more references to real world phenomena and problems than, say, twenty years ago.



Modelling And Mathematics Education


Modelling And Mathematics Education
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Author : J F Matos
language : en
Publisher: ISBS
Release Date : 2001-11

Modelling And Mathematics Education written by J F Matos and has been published by ISBS this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-11 with Mathematics categories.


Bidrag fra: 9th International Conference on the Teaching of Mathematical Modelling and Applications, ICTMA 9, Faculty of Sciences of the University of Lisbon, 1-5 August, 1999



Optimal Control Of Soil Venting Mathematical Modeling And Applications


Optimal Control Of Soil Venting Mathematical Modeling And Applications
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Author : Marian Slodicka
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Optimal Control Of Soil Venting Mathematical Modeling And Applications written by Marian Slodicka and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.


A description of the latest and most appropriate mathematical and numerical methods for optimizing soil venting. The monograph considers mathematical, numerical, and technical aspects as well as their practical significance. This book will be of interest to applied mathematicians, geophysicists, geoecologists, soil physicists, and environmental engineers.



The Learning And Teaching Of Mathematical Modelling


The Learning And Teaching Of Mathematical Modelling
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Author : Mogens Niss
language : en
Publisher: Routledge
Release Date : 2020-01-16

The Learning And Teaching Of Mathematical Modelling written by Mogens Niss and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-16 with Education categories.


This book takes stock of the state of affairs of the teaching and learning of mathematical modelling with regard to research, development and practice. It provides a conceptual framework for mathematical modelling in mathematics education at all education levels, as well as the background and resources for teachers to acquire the knowledge and competencies that will allow them to successfully include modelling in their teaching, with an emphasis on the secondary school level. Mathematics teachers, mathematics education researchers and developers will benefit from this book. Expertly written and researched, this book includes a comprehensive overview of research results in the field, an exposition of the educational goals associated with modelling, the essential components of modelling competency and an extensive discussion of didacticopedagogical challenges in modelling. Moreover, it offers a wide variety of illuminating cases and best-practice examples in addition to insights into the focal points for future research and practice. The Learning and Teaching of Mathematical Modelling is an invaluable resource for teachers, researchers, textbook authors, secondary school mathematics teachers, undergraduate and graduate students of mathematics as well as student teachers.



Information Technologies And Mathematical Modelling Queueing Theory And Applications


Information Technologies And Mathematical Modelling Queueing Theory And Applications
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Author : Alexander Dudin
language : en
Publisher: Springer
Release Date : 2018-08-27

Information Technologies And Mathematical Modelling Queueing Theory And Applications written by Alexander Dudin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-27 with Computers categories.


This book constitutes the proceedings of the 17th International Conference on Information Technologies and Mathematical Modelling, ITMM 2018, named after A.F. Terpugov, and the 12th Workshop on Retrial Queues and Related Topics, held in Tomsk, Russia, in September 2018. The 30 papers presented in this volume were carefully reviewed and selected from 84 submissions. The conference covers various aspects of information technologies, focusing on queueing theory, stochastic processes, Markov processes, renewal theory, network performance equation and network protocols.



Mathematical Modeling


Mathematical Modeling
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Author : Sandip Banerjee
language : en
Publisher: CRC Press
Release Date : 2021-12-05

Mathematical Modeling written by Sandip Banerjee and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-05 with Mathematics categories.


Mathematical Modeling: Models, Analysis and Applications, Second Edition introduces models of both discrete and continuous systems. This book is aimed at newcomers who desires to learn mathematical modeling, especially students taking a first course in the subject. Beginning with the step-by-step guidance of model formulation, this book equips the reader about modeling with difference equations (discrete models), ODE’s, PDE’s, delay and stochastic differential equations (continuous models). This book provides interdisciplinary and integrative overview of mathematical modeling, making it a complete textbook for a wide audience. A unique feature of the book is the breadth of coverage of different examples on mathematical modelling, which include population models, economic models, arms race models, combat models, learning model, alcohol dynamics model, carbon dating, drug distribution models, mechanical oscillation models, epidemic models, tumor models, traffic flow models, crime flow models, spatial models, football team performance model, breathing model, two neuron system model, zombie model and model on love affairs. Common themes such as equilibrium points, stability, phase plane analysis, bifurcations, limit cycles, period doubling and chaos run through several chapters and their interpretations in the context of the model have been highlighted. In chapter 3, a section on estimation of system parameters with real life data for model validation has also been discussed. Features Covers discrete, continuous, spatial, delayed and stochastic models. Over 250 illustrations, 300 examples and exercises with complete solutions. Incorporates MATHEMATICA® and MATLAB®, each chapter contains Mathematica and Matlab codes used to display numerical results (available at CRC website). Separate sections for Projects. Several exercise problems can also be used for projects. Presents real life examples of discrete and continuous scenarios. The book is ideal for an introductory course for undergraduate and graduate students, engineers, applied mathematicians and researchers working in various areas of natural and applied sciences.



Mathematical Modelling Education And Sense Making


Mathematical Modelling Education And Sense Making
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Author : Gloria Ann Stillman
language : en
Publisher: Springer Nature
Release Date : 2020-05-14

Mathematical Modelling Education And Sense Making written by Gloria Ann Stillman and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-14 with Education categories.


This volume documents on-going research and theorising in the sub-field of mathematics education devoted to the teaching and learning of mathematical modelling and applications. Mathematical modelling provides a way of conceiving and resolving problems in people’s everyday lives as well as sophisticated new problems for society at large. Mathematical modelling and real world applications are considered as having potential for cultivating sense making in classroom settings. This book focuses on the educational perspective, researching the complexities encountered in effective teaching and learning of real world modelling and applications for sense making is only beginning. All authors of this volume are members of the International Community of Teachers of Mathematical Modelling (ICTMA), the peak research body into researching the teaching and learning of mathematical modelling at all levels of education from the early years to tertiary education as well as in the workplace.