Guide to Mathematical Modelling

Author: Dilwyn Edwards
Publisher: Macmillan International Higher Education
ISBN: 9781349100422
Release Date: 2016-01-06
Genre: Applied mathematics

The authors' enthusiasm for their subject is eloquently conveyed in this book, and draws the reader very quickly into active investigation of the problems posed. By providing plenty of modelling examples from a wide variety of fields - most of which are familiar from everyday life - the book shows how to apply mathematical ideas to situations which would not previously have been considered to be 'mathematical' in character.

Mathematical Modelling

Author: S J Lamon
Publisher: Elsevier
ISBN: 9780857099549
Release Date: 2003-06-01
Genre: Mathematics

Mathematical modelling is often spoken of as a way of life, referring to habits of mind and to dependence on the power of mathematics to describe, explain, predict and control real phenomena. This book aims to encourage teachers to provide opportunities for students to model a variety of real phenomena appropriately matched to students’ mathematical backgrounds and interests from early stages of mathematical education. Habits, misconceptions, and mindsets about mathematics can present obstacles to university students’ acceptance of a ‘‘models-and-modelling perspective’’ at this stage of mathematics education. Without prior experience in building, interpreting and applying mathematical models, many students may never come to view and regard modelling as a way of life. The book records presentations at the ICTMA 11 conference held in Milwaukee, Wisconsin in 2003. Examines mathematical modelling as a way of life, referring to habits of mind and dependence on the power of mathematics to describe, explain, predict and control real phenomena Encourages teachers to provide students with opportunities to model a variety of real phenomena appropriately matched to students’ mathematical backgrounds and interests from early stages of mathematical education Records presentations at the ICTMA 11 conference held in Milwaukee, Wisconsin in 2003

Mathematics Model Curriculum Guide Kindergarten Through Grade Eight

Author: California. State Department of Education
Publisher: California Department of Education
ISBN: UCBK:B001121934
Release Date: 1987-01-01
Genre: Curriculum planning

This document has been written to relate to the "Mathematics Framework for California Public Schools, Kindergarten through Grade Twelve" published in 1985. Part 1 of the document provides a brief summary of important characteristics of a strong elementary mathematics program. Part 2 of the document presents a portrait of a desired elementary mathematics program focused on the development of student understanding. Included in part 2 are discussions, lessons, and teaching suggestions related to certain basic, underlying mathematical ideas referred to in the "Mathematics Framework" as the "essential understandings." These are: (1) number; (2) measurement; (3) geometry; (4) patterns and functions; (5) statistics and probability; (6) logic; and (7) algebra. (RH)

Mathematical Modeling and Computational Science

Author: Gheorghe Adam
Publisher: Springer Science & Business Media
ISBN: 9783642282119
Release Date: 2012-02-17
Genre: Computers

This book constitutes the refereed post-proceedings of the International Conference on Mathematical Modeling and Computational Physics, MMCP 2011, held in Stará Lesná, Slovakia, in July 2011. The 41 revised papers presented were carefully reviewed and selected from numerous submissions. They are organized in topical sections on mathematical modeling and methods, numerical modeling and methods, computational support of the experiments, computing tools, and optimization and simulation.

Mathematical Results in Quantum Mechanics

Author: Radu Purice
Publisher: World Scientific
ISBN: 9789812832382
Release Date: 2008
Genre: Electronic books

The 10th Quantum Mathematics International Conference (Qmath10) gave an opportunity to bring together specialists interested in that part of mathematical physics which is in close connection with various aspects of quantum theory. It was also meant to introduce young scientists and new tendencies in the field.This collection of carefully selected papers aims to reflect recent techniques and results on SchrAdinger operators with magnetic fields, random SchrAdinger operators, condensed matter and open systems, pseudo-differential operators and semiclassical analysis, quantum field theory and relativistic quantum mechanics, quantum information, and much more. The book serves as a concise and well-documented tool for the more experimented scientists, as well as a research guide for postgraduate students.

Mathematical Modeling in Optical Science

Author: Gang Bao
Publisher: SIAM
ISBN: 9780898714753
Release Date: 2001-01-01
Genre: Science

This volume addresses recent developments in mathematical modeling in three areas of optical science: diffractive optics, photonic band gap structures, and waveguides. Particular emphasis is on the formulation of mathematical models and the design and analysis of new computational approaches. The book contains cutting-edge discourses on emerging technology in optics that provides significant challenges and opportunities for applied mathematicians, researchers, and engineers. Each of the three topics is presented through a series of survey papers to provide a broad overview focusing on the mathematical models. Chapters present model problems, physical principles, mathematical and computational approaches, and engineering applications corresponding to each of the three areas. Although some of the subject matter is classical, the topics presented are new and represent the latest developments in their respective fields.

ASTM s Role in Performance based Fire Codes and Standards

Author: John Raymond Hall
Publisher: ASTM International
ISBN: 0803126204
Release Date: 1999-01-01
Genre: Technology & Engineering

From the December 1998 symposium of the same name come 11 contributions which explore the role ASTM (an international developer of technical and materials standards) can play in the propagation of performance-based fire codes and standards in the United States and Canada (codes and standards already

Eureka Math Grade 7 Study Guide

Author: Great Minds
Publisher: John Wiley & Sons
ISBN: 9781118811566
Release Date: 2016-04-25
Genre: Education

Eureka Math is a comprehensive, content-rich PreK–12 curriculum that follows the focus and coherence of the Common Core State Standards in Mathematics (CCSSM) and carefully sequences the mathematical progressions into expertly crafted instructional modules. The companion Study Guides to Eureka Math gather the key components of the curriculum for each grade into a single location, unpacking the standards in detail so that both users and non-users of Eureka Math can benefit equally from the content presented. Each of the Eureka Math Curriculum Study Guides includes narratives that provide educators with an overview of what students should be learning throughout the year, information on alignment to the instructional shifts and the standards, design of curricular components, approaches to differentiated instruction, and descriptions of mathematical models. The Study Guides can serve as either a self-study professional development resource or as the basis for a deep group study of the standards for a particular grade. For teachers who are new to the classroom or the standards, the Study Guides introduce them not only to Eureka Math but also to the content of the grade level in a way they will find manageable and useful. Teachers familiar with the Eureka Math curriculum will also find this resource valuable as it allows for a meaningful study of the grade level content in a way that highlights the coherence between modules and topics. The Study Guides allow teachers to obtain a firm grasp on what it is that students should master during the year. The Eureka Math Curriculum Study Guide, Grade 7 provides an overview of all of the Grade 7 modules, including Ratios and Proportional Relationships; Rational Numbers; Expressions and Equations; Percent and Proportional Relationships; Statistics and Probability; Geometry.

Mathematics in Industrial Problems

Author: Avner Friedman
Publisher: Springer Science & Business Media
ISBN: 0387949453
Release Date: 1997-01-24
Genre: Mathematics

The 9th volume in Avner Friedmans collection of Mathematics in Industrial problems. Fostering interaction between industry and mathematics at the "grass roots" level, the problems presented here arise from models developed by industrial scientists engaged in R&D of new or improved products. Topics explored in this volume include diffusion in porous media and in rubber/glass transition, coating flows, solvation of molecules, semiconductor processing, optoelectronics, photographic images, density-functional theory, sphere packing, performance evaluation, causal networks, electrical well logging, general positioning system, sensor management, pursuit-evasion algorithms, and nonlinear viscoelasticity. Open problems and references are incorporated throughout and the final chapter contains some solutions to problems raised in earlier volumes.

Resource Allocation Logic Framework to Meet Highway Asset Preservation

Author: John Wiegmann
Publisher: Transportation Research Board
ISBN: 9780309258715
Release Date: 2012
Genre: Bridges

"TRB's National Cooperative Highway Research Program (NCHRP) Report 736: Resource Allocation Logic Framework to Meet Highway Asset Preservation presents a logic framework for allocating limited highway asset preservation funds among competing demands in order to help maximize system performance. The report also presents a spreadsheet-based computational tool that implements the framework. Prototypical application scenarios and case-study examples illustrate how transportation agency staff may use the framework to assist resource allocation decision making"--Publication information.

Mathematics

Author: Mark Patmore
Publisher: Letts and Lonsdale
ISBN: 1843156326
Release Date: 2006
Genre: Mathematics

Written by examiners and experienced teachers, this work offers study and homework support throughout GCSE. It is useful as a reference source, a lesson back-up and a revision guide.

Mathematical modelling and applied mathematics

Author: Aleksandr Andreevich Samarskiĭ
Publisher: North Holland
ISBN: UOM:39015022230356
Release Date: 1992-01
Genre: Mathematics

Many complex problems of social life put forward new demands for science and technology. It is quite obvious that further progress is impossible without methodological renovation of science. Mathematical modelling and computational experiment make the basis for such renewal. It lies in spreading the expertise, ideas and methods of applied mathematics to new spheres. The main purpose of this proceedings is to bring together the scientists in applied mathematics and computational experiment, developers and users of mathematical models from different branches of knowledge in order to exchange ideas, information and experience. The volume contributes to a deeper understanding of contemporary interdisciplinary problems.

Mathematics Teachers in Transition

Author: Elizabeth Fennema
Publisher: Routledge
ISBN: 9781136496394
Release Date: 2013-04-03
Genre: Education

This book addresses the need of professional development leaders and policymakers for scholarly knowledge about influencing teachers to modify mathematical instruction to bring it more in alignment with the recommendations of the current reform movement initiated by the National Council of Teachers of Mathematics. The book presents: * theoretical perspectives for studying, analyzing, and understanding teacher change; * descriptions of contextual variables to be considered as one studies and attempts to understand teacher change; and * descriptions of professional development programs that resulted in teacher change. One chapter builds a rationale for looking to developmental psychology for guidance in constructing models of reconstructing new forms of mathematical instruction. Another highlights the relevance to mathematics teacher development of research-based knowledge about how children construct mathematical ideas. Other chapters explore the relationships between the various contexts of schooling and instructional change. Included also are chapters that describe and analyze major reform efforts designed to assist teachers in modifying their instructional practices (Cognitively Guided Instruction, Math-Cubed, Project Impact, Mathematics in Context, and the Case-Based Project). Finally, the current state of knowledge about encouraging teachers to modify their instruction is discussed, the implications of major research and implementation findings are suggested, and some of the major questions that need to be addressed are identified, such as what we have learned about teacher change.