Learning And Teaching Mathematics Using Simulations

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Learning and Teaching Mathematics using Simulations

Author : Dieter Röss
Publisher : Walter de Gruyter
ISBN 13 : 3110250071
Total Pages : 258 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Learning and Teaching Mathematics using Simulations by : Dieter Röss

Download or read book Learning and Teaching Mathematics using Simulations written by Dieter Röss and published by Walter de Gruyter. This book was released on 2011-11-14 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics course with 60 Java-based interactive mathematic simulations by the author Comprehensive and systematically organized collection of 2,000 Java-based physics simulations All simulations are runnable, and can be accessed both on- and offline Visualization of mathematic relationships Facilitates an experiment-based understanding of problems, including suggestions for your own mathematical experiments Calculation procedures can be adjusted in a variety of ways Introduction to simulation techniques with the EJS (Easy Java Simulation) tool Visual interface for simple and transparent modeling and programming Building block library for programming one's own simulations Quick access to simulations from links embedded in the digital text Mathematics is the language of physics and technology. Yet in the age of computers, mathematic skill is not based on mastery of arithmetic. Rather, it depends on understanding relationships in time and space, and expressing them with precise and clear formulas. In this regard, one cannot rely on the rote memorization of rules and formulas - insight and intuitive understanding are crucial. But how can this understanding be achieved in higher mathematics, which depends on abstract concepts such as complex numbers, real and complex infinite series, infinitesimal calculus, 2, 3, and 4 dimensional functions, conformal maps, vectors, and linear and nonlinear ordinary and partial differential equations? The author takes a highly practical approach to facilitating the insight essential for true learning in mathematics. Students can work directly with the simulation programs, can visualize relationships, and creatively interact with the calculation procedures. Proceeding in textbook fashion, the work makes use of a broad palette of multimedia tools, and features numerous interactive calculation programs for mathematical experimentation. Students merely have to select one of the many predefined examples and set the relevant parameters - and in a flash the results are graphically displayed in 2 or 3 dimensions. In addition, the specific functions used can be changed or even newly formulated according to user preferences. For example, a procedure developed for a fourth degree power function for the numerical calculation of zero points can be adapted for use with another function. Each simulation is accompanied by a detailed description, instructions for use, and numerous suggestions for experimentation. The mathematical simulations are based on the Easy Java Simulation (EJS) programming tool. All of the files developed with EJS are completely open and transparent. The user can even draw on the examples as building blocks for the development his or her own calculation procedures. The appendix contains a short introduction to EJS. The work is enriched by a comprehensive collection of cosmological simulations as well as models from the Open Source Physics project, organized by subject area. Intended as a systematic collection of methods and materials for upper-secondary school teachers and as a course for students of physics and mathematics, the work facilitates hands-on and experiment-driven learning in higher mathematics. The print version contains the electronic text and simulations for offline use. For questions concerning download or online access to the simulations, please contact [email protected].

Modeling and Simulation in Science and Mathematics Education

Author : Wallace Feurzeig
Publisher : Springer Science & Business Media
ISBN 13 : 1461214149
Total Pages : 334 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Modeling and Simulation in Science and Mathematics Education by : Wallace Feurzeig

Download or read book Modeling and Simulation in Science and Mathematics Education written by Wallace Feurzeig and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book/software package brings the tools and excitement of modeling to pre-college teachers, to researchers involved in curriculum development, and to software developers interested in the pre-college market.

Learning How to Teach Mathematical Modeling in School and Teacher Education

Author : Rita Borromeo Ferri
Publisher : Springer
ISBN 13 : 3319680722
Total Pages : 153 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Learning How to Teach Mathematical Modeling in School and Teacher Education by : Rita Borromeo Ferri

Download or read book Learning How to Teach Mathematical Modeling in School and Teacher Education written by Rita Borromeo Ferri and published by Springer. This book was released on 2017-11-26 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: This timely resource fills a gap in existing literature on mathematical modeling by presenting both theory- and evidence-based ideas for its teaching and learning. The book outlines four key professional competencies that must be developed in order to effectively and appropriately teach mathematical modeling, and in so doing it seeks to reduce the discrepancies between educational policy and educational research versus everyday teaching practice. Among the key competencies covered are: Theoretical competency for practical work. Task competency for instructional flexibility. Instructional competency for effective and quality lessons. Diagnostic competency for assessment and grading. Learning How to Teach Mathematical Modeling in School and Teacher Education is relevant to practicing and future mathematics teachers at all levels, as well as teacher educators, mathematics education researchers, and undergraduate and graduate mathematics students interested in research based methods for teaching mathematical modeling.

Simulation and Gaming for Mathematical Education

Author : Angela Piu
Publisher : IGI Global
ISBN 13 : 160566930X
Total Pages : 257 pages
Book Rating : 4.6/5 (56 download)

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Book Synopsis Simulation and Gaming for Mathematical Education by : Angela Piu

Download or read book Simulation and Gaming for Mathematical Education written by Angela Piu and published by IGI Global. This book was released on 2010-04-30 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book proposes simulation games supported by the most recent discoveries and advances in theories of learning research, and gears operational decisions toward the development of an integrated system for the teaching of mathematics in primary schools"--Provided by publisher.

Symbolizing, Modeling and Tool Use in Mathematics Education

Author : K.P Gravemeijer
Publisher : Springer Science & Business Media
ISBN 13 : 9401731942
Total Pages : 304 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Symbolizing, Modeling and Tool Use in Mathematics Education by : K.P Gravemeijer

Download or read book Symbolizing, Modeling and Tool Use in Mathematics Education written by K.P Gravemeijer and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the option of building on symbolizing, modeling and tool use as personally meaningful activities of students. It discusses the dimension of setting: varying from the study of informal, spontaneous activity of students, to an explicit focus on instructional design, and goals and effects of instruction; and the dimension of the theoretical framework of the researcher: varying from constructivism, to activity theory, cognitive psychology and instructional-design theory.

Modelling and Applications in Mathematics Education

Author : Peter L. Galbraith
Publisher : Springer Science & Business Media
ISBN 13 : 0387298223
Total Pages : 524 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Modelling and Applications in Mathematics Education by : Peter L. Galbraith

Download or read book Modelling and Applications in Mathematics Education written by Peter L. Galbraith and published by Springer Science & Business Media. This book was released on 2007-12-05 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Modeling Students' Mathematical Modeling Competencies

Author : Richard Lesh
Publisher : Springer Science & Business Media
ISBN 13 : 9400762712
Total Pages : 635 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Modeling Students' Mathematical Modeling Competencies by : Richard Lesh

Download or read book Modeling Students' Mathematical Modeling Competencies written by Richard Lesh and published by Springer Science & Business Media. This book was released on 2013-03-17 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling Students’ Mathematical Modeling Competencies offers welcome clarity and focus to the international research and professional community in mathematics, science, and engineering education, as well as those involved in the sciences of teaching and learning these subjects.

Model-Centered Learning

Author : Lingguo Bu
Publisher : Springer Science & Business Media
ISBN 13 : 946091618X
Total Pages : 249 pages
Book Rating : 4.4/5 (69 download)

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Book Synopsis Model-Centered Learning by : Lingguo Bu

Download or read book Model-Centered Learning written by Lingguo Bu and published by Springer Science & Business Media. This book was released on 2012-01-01 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Model-Centered Learning: Pathways to Mathematical Understanding Using GeoGebra is the first book to report on the international use of GeoGebra and its growing impact on mathematics teaching and learning. Supported by new developments in model-centered learning and instruction, the chapters in this book move beyond the traditional views of mathematics and mathematics teaching, providing theoretical perspectives and examples of practice for enhancing students’ mathematical understanding through mathematical and didactical modeling. Designed specifically for teaching mathematics, GeoGebra integrates dynamic multiple representations in a conceptually rich learning environment that supports the exploration, construction, and evaluation of mathematical models and simulations. The open source nature of GeoGebra has led to a growing international community of mathematicians, teacher educators, and classroom teachers who seek to tackle the challenges and complexity of mathematics education through a grassroots initiative using instructional innovations. The chapters cover six themes: 1) the history, philosophy, and theory behind GeoGebra, 2) dynamic models and simulations, 3) problem solving and attitude change, 4) GeoGebra as a cognitive and didactical tool, 5) curricular challenges and initiatives, 6) equity and sustainability in technology use. This book should be of interest to mathematics educators, mathematicians, and graduate students in STEM education and instructional technologies.

Learning to Diagnose with Simulations

Author : Frank Fischer
Publisher : Springer Nature
ISBN 13 : 303089147X
Total Pages : 156 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Learning to Diagnose with Simulations by : Frank Fischer

Download or read book Learning to Diagnose with Simulations written by Frank Fischer and published by Springer Nature. This book was released on 2022 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book presents 8 novel approaches to measure and improve diagnostic competences with simulation. The book compares the effects of interventions on these diagnostic competences in both teacher and medical education. It includes analyses showing that important aspects of diagnostic competences and effects of instructional interventions aiming to facilitate them are comparable for teachers and doctors. Through closely analyzing projects from medical education, mathematics education, biology education, and psychology, the reader is presented with multiple options for interventions that may be used in each of the subject areas and the improvements in diagnostic skills that could be expected from each simulation. The book concludes with an outline of promising future research on the use of simulations to facilitate professional competences in higher education in general, and for the advancement of diagnostic competencies in particular. This is an open access book.

Modeling with Mathematics

Author : Nancy Butler Wolf
Publisher : Heinemann Educational Books
ISBN 13 : 9780325062594
Total Pages : 0 pages
Book Rating : 4.0/5 (625 download)

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Book Synopsis Modeling with Mathematics by : Nancy Butler Wolf

Download or read book Modeling with Mathematics written by Nancy Butler Wolf and published by Heinemann Educational Books. This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Nancy's in-depth look at mathematical modeling offers middle school teachers the kind of practical help they need for incorporating modeling into their classrooms." -Cathy Seeley, Past President of NCTM, author of Faster Isn't Smarter and Smarter Than We Think "This is the book that math teachers and parents have been waiting for. Nancy provides a comprehensive step-by-step guide to modeling in mathematics at the middle school level." -David E. Drew, author of STEM the Tide: Reforming Science, Technology, Engineering, and Math Education in America We all use math to analyze everyday situations we encounter. Whether we realize it or not, we're modeling with mathematics: taking a complex situation and figuring out what we need to make sense of it. In Modeling with Mathematics, Nancy Butler Wolf shows that math is most powerful when it means something to students. She provides clear, friendly guidance for teachers to use authentic modeling projects in their classrooms and help their students develop key problem-solving skills, including: collecting data and formulating a mathematical model interpreting results and comparing them to reality learning to communicate their solutions in meaningful ways. This kind of teaching can be challenging because it is open-ended: it asks students to make decisions about their approach to a scenario, the information they will need, and the tools they will use. But Nancy proves there is ample middle ground between doing all of the work for your students and leaving them to flail in the dark. Through detailed examples and hands-on activities, Nancy shows how to guide your students to become active participants in mathematical explorations who are able to answer the question, "What did I just figure out?" Her approach values all students as important contributors and shows how instruction focused on mathematical modeling engages every learner regardless of their prior history of success or failure in math.

Exploring Mathematical Modeling with Young Learners

Author : Jennifer M. Suh
Publisher : Springer Nature
ISBN 13 : 3030639002
Total Pages : 440 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Exploring Mathematical Modeling with Young Learners by : Jennifer M. Suh

Download or read book Exploring Mathematical Modeling with Young Learners written by Jennifer M. Suh and published by Springer Nature. This book was released on 2021-06-01 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book conceptualizes the nature of mathematical modeling in the early grades from both teaching and learning perspectives. Mathematical modeling provides a unique opportunity to engage elementary students in the creative process of mathematizing their world. A diverse community of internationally known researchers and practitioners share studies that advance the field with respect to the following themes: The Nature of Mathematical Modeling in the Early Grades Content Knowledge and Pedagogy for Mathematical Modeling Student Experiences as Modelers Teacher Education and Professional Development in Modeling Experts in the field provide commentaries that extend and connect ideas presented across chapters. This book is an invaluable resource in illustrating what all young children can achieve with mathematical modeling and how we can support teachers and families in this important work.

Models and Modeling Perspectives

Author : Richard A. Lesh
Publisher : Routledge
ISBN 13 : 1135484260
Total Pages : 129 pages
Book Rating : 4.1/5 (354 download)

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Book Synopsis Models and Modeling Perspectives by : Richard A. Lesh

Download or read book Models and Modeling Perspectives written by Richard A. Lesh and published by Routledge. This book was released on 2014-07-16 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: This special issue of Mathematical Thinking and Learning describes models and modeling perspectives toward mathematics problem solving, learning, and teaching. The concern is not only the mature forms of models and modeling in communities of scientists and mathematicians, but also the need to initiate students in these forms of thought. The contributions of this issue suggest a variety of ways that students (children through adults) can be introduced to highly productive forms of modeling practices. Collectively, they illustrate how modeling activities often lead to remarkable mathematical achievements by students formerly judged to be too young or too lacking in ability for such sophisticated and powerful forms of mathematical thinking. The papers also illustrate how modeling activities often create productive interdisciplinary niches for mathematical thinking, learning, and problem solving that involve simulations of similar situations that occur when mathematics is useful beyond school.

Learning Simulations in Education

Author : Brian P. Zoellner
Publisher : Routledge
ISBN 13 : 0429614632
Total Pages : 143 pages
Book Rating : 4.4/5 (296 download)

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Book Synopsis Learning Simulations in Education by : Brian P. Zoellner

Download or read book Learning Simulations in Education written by Brian P. Zoellner and published by Routledge. This book was released on 2019-11-26 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: Technology-enabled simulations are increasingly used for students in K-12 education and have the potential to improve teaching and learning across domains. Across five chapters, this book explores the psychological foundation of simulation use in instruction, guiding readers through individual differences among learners and contexts while addressing theory, pedagogy, cognitive processes, and more. This concise volume is designed for any education course that includes simulations in the curriculum and will be indispensable for student researchers and both pre- and in-service teachers alike.

Doing the Scholarship of Teaching and Learning in Mathematics

Author : Jacqueline M. Dewar
Publisher : The Mathematical Association of America
ISBN 13 : 0883851938
Total Pages : 227 pages
Book Rating : 4.8/5 (838 download)

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Book Synopsis Doing the Scholarship of Teaching and Learning in Mathematics by : Jacqueline M. Dewar

Download or read book Doing the Scholarship of Teaching and Learning in Mathematics written by Jacqueline M. Dewar and published by The Mathematical Association of America. This book was released on 2014-11-03 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Scholarship of Teaching and Learning (SoTL) movement encourages faculty to view teaching “problems” as invitations to conduct scholarly investigations. In this growing field of inquiry faculty bring their disciplinary knowledge and teaching experience to bear on questions of teaching and learning. They systematically gather evidence to develop and support their conclusions. The results are to be peer reviewed and made public for others to build on. This Notes volume is written expressly for collegiate mathematics faculty who want to know more about conducting scholarly investigations into their teaching and their students’ learning. Envisioned and edited by two mathematics faculty, the volume serves as a how-to guide for doing SoTL in mathematics.

Mathematical Modeling and Modeling Mathematics

Author : Christian R. Hirsch
Publisher :
ISBN 13 : 9780873539739
Total Pages : 0 pages
Book Rating : 4.5/5 (397 download)

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Book Synopsis Mathematical Modeling and Modeling Mathematics by : Christian R. Hirsch

Download or read book Mathematical Modeling and Modeling Mathematics written by Christian R. Hirsch and published by . This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical modeling plays an increasingly important role both in real-life applications and within mathematics education itself. This 2016 volume of Annual Perspectives in Mathematics Education (APME) focuses on this key topic from a wide variety of perspectives and distinguishes it from modeling mathematics.

Problem-Based Learning: A Didactic Strategy in the Teaching of System Simulation

Author : Lorenzo Cevallos-Torres
Publisher : Springer
ISBN 13 : 3030133931
Total Pages : 132 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Problem-Based Learning: A Didactic Strategy in the Teaching of System Simulation by : Lorenzo Cevallos-Torres

Download or read book Problem-Based Learning: A Didactic Strategy in the Teaching of System Simulation written by Lorenzo Cevallos-Torres and published by Springer. This book was released on 2019-03-11 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes and outlines the theoretical foundations of system simulation in teaching, and as a practical contribution to teaching-and-learning models. It presents various methodologies used in teaching, the goal being to solve real-life problems by creating simulation models and probability distributions that allow correlations to be drawn between a real model and a simulated model. Moreover, the book demonstrates the role of simulation in decision-making processes connected to teaching and learning.

Games and Simulations in Teacher Education

Author : Elizabeth Bradley
Publisher : Springer Nature
ISBN 13 : 3030445267
Total Pages : 207 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Games and Simulations in Teacher Education by : Elizabeth Bradley

Download or read book Games and Simulations in Teacher Education written by Elizabeth Bradley and published by Springer Nature. This book was released on 2020-12-07 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes more than twenty computer games and simulations for use in teacher training. Each of these simulations is innovative and presents an opportunity for pre-service teachers to have hands-on experience in an area of need prior to teaching in the classroom. Information on the simulation origins, including theoretical underpinnings, goals, characteristics, relevant research/program evaluation results, discussion of benefits and limitations as well as dissemination, recommended use, scope of practice, etc. of each game or simulation are included. Pre-service and new teachers will gain a number of useful skills through completion of these simulations and higher education faculty and administrators will gain a plethora of research-based and effective training tools for use in their teacher training programs.