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Mathematical Models In Learning Theory
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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 163 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.
Book Synopsis Mathematical Models in Learning Theory by : Miguel Angel Campos Hernandez
Download or read book Mathematical Models in Learning Theory written by Miguel Angel Campos Hernandez and published by . This book was released on 1982 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Models of Learning Theory by : William Edwin Warren
Download or read book Mathematical Models of Learning Theory written by William Edwin Warren and published by . This book was released on 1963 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis Selected Papers of Frederick Mosteller by : Stephen E. Fienberg
Download or read book Selected Papers of Frederick Mosteller written by Stephen E. Fienberg and published by Springer Science & Business Media. This book was released on 2007-02-01 with total page 651 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the best known statisticians of the 20th century, Frederick Mosteller has inspired numerous statisticians and other scientists by his creative approach to statistics and its applications. This volume collects 40 of his most original and influential papers, capturing the variety and depth of his writings. It is hoped that sharing these writings with a new generation of researchers will inspire them to build upon his insights and efforts.
Book Synopsis Theories of Mathematical Learning by : Leslie P. Steffe
Download or read book Theories of Mathematical Learning written by Leslie P. Steffe and published by Routledge. This book was released on 2013-04-03 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chemists, working with only mortars and pestles, could not get very far unless they had mathematical models to explain what was happening "inside" of their elements of experience -- an example of what could be termed mathematical learning. This volume contains the proceedings of Work Group 4: Theories of Mathematics, a subgroup of the Seventh International Congress on Mathematical Education held at Université Laval in Québec. Bringing together multiple perspectives on mathematical thinking, this volume presents elaborations on principles reflecting the progress made in the field over the past 20 years and represents starting points for understanding mathematical learning today. This volume will be of importance to educational researchers, math educators, graduate students of mathematical learning, and anyone interested in the enterprise of improving mathematical learning worldwide.
Book Synopsis Teaching and Learning Mathematical Modelling by : Gilbert Greefrath
Download or read book Teaching and Learning Mathematical Modelling written by Gilbert Greefrath and published by Springer. This book was released on 2016-08-20 with total page 49 pages. Available in PDF, EPUB and Kindle. Book excerpt: This survey provides an overview of the German discussion on modelling and applications in schools. It considers the development from the beginning of the 20th century to the present, and discusses the term “mathematical model” as well as different representations of the modelling process as modelling cycles. Different trends in the historical and current debate on applications and modelling can be differentiated as perspectives of modelling. Modelling is now one of the six general mathematical competencies defined in the educational standards for mathematics introduced in Germany in 2003, and there have been several initiatives to implement modelling in schools, as well as a whole range of empirical research projects focusing on teachers or students in modelling processes. As a special kind for implementing modelling into school, modelling weeks and days carried out by various German universities have been established.
Book Synopsis Mathematical Models for Teaching by : Ann Kajander
Download or read book Mathematical Models for Teaching written by Ann Kajander and published by Canadian Scholars’ Press. This book was released on 2014-01-01 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Students of mathematics learn best when taught by a teacher with a deep and conceptual understanding of the fundamentals of mathematics. In Mathematical Models for Teaching, Ann Kajander and Tom Boland argue that teachers must be equipped with a knowledge of mathematics for teaching, which is grounded in modelling, reasoning, and problem-based learning. A comprehensive exploration of models and concepts, this book promotes an understanding of the material that goes beyond memorization and recitation, which begins with effective teaching. This vital resource is divided into 15 chapters, each of which addresses a specific mathematical concept. Focusing on areas that have been identified as problematic for teachers and students, Mathematical Models for Teaching equips teachers with a different type of mathematical understanding-one that supports and encourages student development. Features: grounded in the most current research about teachers' learning contains cross-chapter connections that identify common ideas includes chapter concluding discussion questions that encourage critical thinking incorporates figures and diagrams that simplify and solidify important mathematical concepts offers further reading suggestions for instructors seeking additional information
Book Synopsis Mathematical Modelling in Education Research and Practice by : Gloria Ann Stillman
Download or read book Mathematical Modelling in Education Research and Practice written by Gloria Ann Stillman and published by Springer. This book was released on 2015-07-20 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume cultural, social and cognitive influences on the research and teaching of mathematical modelling are explored from a variety of theoretical and practical perspectives. The authors of the current volume are all members of the International Community of Teachers of Mathematical Modelling and Applications, the peak research body in this field. A distinctive feature of this volume is the high number of authors from South American countries. These authors bring quite a different perspective to modelling than has been showcased in previous books in this series, in particular from a cultural point of view. As well as recent international research, there is a strong emphasis on pedagogical issues including those associated with technology and assessment, in the teaching and learning of modelling. Applications at various levels of education are exemplified. The contributions reflect common issues shared globally and represent emergent or on-going challenges.
Book Synopsis Measuring Professional Competence for the Teaching of Mathematical Modelling by : Raphael Wess
Download or read book Measuring Professional Competence for the Teaching of Mathematical Modelling written by Raphael Wess and published by Springer Nature. This book was released on 2021-07-14 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book presents a structural model and an associated test instrument designed to provide a detailed analysis of professional competences for teaching mathematical modelling. The conceptualisation is based on the COACTIV model, which describes aspects, areas and facets of professional competences of teachers. The manual provides an overview of the essential teaching skills in application-related contexts and offers the tools needed to capture these aspects. It discusses the objectives and application areas of the instrument, as well as the development of the test. In addition, it describes the implementation and evaluates the quality and results of the structural equation analysis of the model. Teaching mathematical modelling is a cognitively challenging activity for (prospective) teachers. Thus, teacher education requires a detailed analysis of professional competence for teaching mathematical modelling. Measuring this competence requires theoretical models that accurately describe requirements placed upon teachers, as well as appropriate evaluation tools that adequately capture skills and abilities in this field. This book presents an instrument that measures the professional competences in a sample of 349 prospective teachers.
Book Synopsis Trends in Teaching and Learning of Mathematical Modelling by : Gabriele Kaiser
Download or read book Trends in Teaching and Learning of Mathematical Modelling written by Gabriele Kaiser and published by Springer Science & Business Media. This book was released on 2011-06-23 with total page 711 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains suggestions for and reflections on the teaching, learning and assessing of mathematical modelling and applications in a rapidly changing world, including teaching and learning environments. It addresses all levels of education from universities and technical colleges to secondary and primary schools. Sponsored by the International Community of Teachers of Mathematical Modelling and Applications (ICTMA), it reflects recent ideas and methods contributed by specialists from 30 countries in Africa, the Americas, Asia, Australia and Europe. Inspired by contributions to the Fourteenth Conference on the Teaching of Mathematical Modelling and Applications (ICTMA14) in Hamburg, 2009, the book describes the latest trends in the teaching and learning of mathematical modelling at school and university including teacher education. The broad and versatile range of topics will stress the international state-of-the-art on the following issues: Theoretical reflections on the teaching and learning of modelling Modelling competencies Cognitive perspectives on modelling Modelling examples for all educational levels Practice of modelling in school and at university level Practices in Engineering and Applications
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.
Book Synopsis Mathematical Model Techniques for Learning Theories by : Gustav Levine
Download or read book Mathematical Model Techniques for Learning Theories written by Gustav Levine and published by . This book was released on 1972 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Modelling by : Ngan Hoe Lee
Download or read book Mathematical Modelling written by Ngan Hoe Lee and published by World Scientific Publishing Company. This book was released on 2015 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is Volume 8 in the Series on Mathematics Education publications showcasing different themes and trends in mathematics research and practice around the world. This volume features mathematical modelling. It discusses links between theoretical underpinnings of mathematical modelling and various practices in different education systems, with particular emphasis in the Singapore context. In addition, the book documents two events organised by the Mathematics and Mathematics Education Academic Group of the National Institute of Education in June 2010: The Mathematical Modelling Outreach (MMO) and The 2nd Lee Peng Yee Symposium (LPYS). Pre-service teachers, experienced teachers and school students engaged in mathematical modelling processes during the two events. Teaching ideas, learning activities and alternative modes of evaluating the students' learning based on the Singapore Mathematics Curriculum are also presented in this volume.
Book Synopsis Beyond Constructivism by : Richard A. Lesh
Download or read book Beyond Constructivism written by Richard A. Lesh and published by Routledge. This book was released on 2003-05-01 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has two primary goals. On the level of theory development, the book clarifies the nature of an emerging "models and modeling perspective" about teaching, learning, and problem solving in mathematics and science education. On the level of emphasizing practical problems, it clarifies the nature of some of the most important elementary-but-powerful mathematical or scientific understandings and abilities that Americans are likely to need as foundations for success in the present and future technology-based information age. Beyond Constructivism: Models and Modeling Perspectives on Mathematics Problem Solving, Learning, and Teaching features an innovative Web site housing online appendices for each chapter, designed to supplement the print chapters with digital resources that include example problems, relevant research tools and video clips, as well as transcripts and other samples of students' work: http://tcct.soe.purdue.edu/booksULandULjournals/modelsULandUL modeling/ This is an essential volume for graduate-level courses in mathematics and science education, cognition and learning, and critical and creative thinking, as well as a valuable resource for researchers and practitioners in these areas.
Book Synopsis Mathematical Theories of Machine Learning - Theory and Applications by : Bin Shi
Download or read book Mathematical Theories of Machine Learning - Theory and Applications written by Bin Shi and published by Springer. This book was released on 2019-06-12 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies mathematical theories of machine learning. The first part of the book explores the optimality and adaptivity of choosing step sizes of gradient descent for escaping strict saddle points in non-convex optimization problems. In the second part, the authors propose algorithms to find local minima in nonconvex optimization and to obtain global minima in some degree from the Newton Second Law without friction. In the third part, the authors study the problem of subspace clustering with noisy and missing data, which is a problem well-motivated by practical applications data subject to stochastic Gaussian noise and/or incomplete data with uniformly missing entries. In the last part, the authors introduce an novel VAR model with Elastic-Net regularization and its equivalent Bayesian model allowing for both a stable sparsity and a group selection.
Book Synopsis An Introduction to Mathematical Modeling by : Edward A. Bender
Download or read book An Introduction to Mathematical Modeling written by Edward A. Bender and published by Courier Corporation. This book was released on 2012-05-23 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Employing a practical, "learn by doing" approach, this first-rate text fosters the development of the skills beyond the pure mathematics needed to set up and manipulate mathematical models. The author draws on a diversity of fields — including science, engineering, and operations research — to provide over 100 reality-based examples. Students learn from the examples by applying mathematical methods to formulate, analyze, and criticize models. Extensive documentation, consisting of over 150 references, supplements the models, encouraging further research on models of particular interest. The lively and accessible text requires only minimal scientific background. Designed for senior college or beginning graduate-level students, it assumes only elementary calculus and basic probability theory for the first part, and ordinary differential equations and continuous probability for the second section. All problems require students to study and create models, encouraging their active participation rather than a mechanical approach. Beyond the classroom, this volume will prove interesting and rewarding to anyone concerned with the development of mathematical models or the application of modeling to problem solving in a wide array of applications.
