Research On and Activities For Mathematically Gifted Students, Florence Mihaela Singer; Linda Jensen Sheffield; V
Автор: Tall Название: How Humans Learn to Think Mathematically ISBN: 1107668549 ISBN-13(EAN): 9781107668546 Издательство: Cambridge Academ Рейтинг: Цена: 6494.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: How Humans Learn to Think Mathematically describes the development of mathematical thinking from the young child to the sophisticated adult. Professor David Tall`s analysis offers a shared framework for understanding mathematical growth from practical beginnings through theoretical developments, to the continuing evolution of mathematical thinking.
Описание: This book examines new trends and developments in research related to the mathematical education of pre-service elementary teachers, and explores the implications of these research advances for theory and practice in teacher education.
Автор: Gloria Ann Stillman; Werner Blum; Maria Salett Bie Название: Mathematical Modelling in Education Research and Practice ISBN: 3319369350 ISBN-13(EAN): 9783319369358 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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.
Автор: Gloria Ann Stillman; Gabriele Kaiser; Werner Blum; Название: Teaching Mathematical Modelling: Connecting to Research and Practice ISBN: 9400765398 ISBN-13(EAN): 9789400765399 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides readers with an overview of recent international research and developments in the teaching and learning of modelling and applications from a variety of theoretical and practical perspectives.
Автор: Gloria Ann Stillman; Werner Blum; Gabriele Kaiser Название: Mathematical Modelling and Applications ISBN: 3319629670 ISBN-13(EAN): 9783319629674 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Series Preface, Gabriele Kaiser and Gloria Stillman.- Boundary Crossings in Mathematical Modelling and Applications Educational Research and Practice, Gloria Stillman, Werner Blum, and Gabriele Kaiser.- Part I New Approaches in Research, Teaching and Practice from Crossing Boundaries.- Mathematical Modelling with Increasing Learning Aids - A Video Study, Deike S. Alfke (nйe Jьtting).- Modelling with Statistical Data: Characterisation of Student Models, Аngels Aymerich, Nъria Gorgoriу, and Lluнs Albarracнn.- How Teachers Can Promote Mathematising by Means of Mathematical City Walks, Nils Buchholtz.- L'Hospital's Weight Problem: Testing the Boundaries between Mathematics and Physics, between Application and Modelling, France Caron and Kathleen Pineau. Representations of Modelling in Mathematics Education, Helen M. Doerr, Jonas B. Дrlebдck and Morten Misfeldt.- The Primacy of 'Noticing': a Key to Successful Modelling, Peter Galbraith, Gloria Ann Stillman and Jill P. Brown.- Combining Models Related to Data Distribution through Productive Experimentation, Takashi Kawakami.- Reconciling Intuitions and Conventional Knowledge: The Challenge of Teaching and Learning Mathematical Modelling, Azita Manouchehri and Stephen T. Lewis.- A Modelling Perspective in Designing Teacher Professional Learning Communities, Nicholas Mousoulides, Marilena Nicolaidou, and Maria Evagorou.- Mathematical Modelling and Proof by Recurrence: an Analysis from a Wittgensteinian Perspective, Bбrbara Palharini, Emerson Tortola and Lourdes Maria Werle de Almeida.- Quality Criteria for Mathematical Models in Relation to Models' Purposes - Their Usefulness in Engineering Education, Jacob Perrenet, Bert Zwaneveld, Kees van Overveld and Tijn Borghuis.- Ethnomodelling as the Mathematization of Cultural Practices, Milton Rosa and Daniel Clark Orey.- Enabling Anticipation through Visualisation in Mathematising Real World Problems in a Flipped Classroom, Gloria Ann Stillman.- Measuring Metacognitive Modelling Competencies, Katrin Vorhцlter.- Part II Researching Boundaries in Mathematical Modelling Education.- The Mathematical Modelling Competencies Required for Solving Engineering Statics Assignments, Burkhard Alpers.- Pre-service Teachers' Levels of Reflectivity after Mathematical Modelling Activities with High-School Students, Rita Borromeo Ferri.- Context and Understanding: The Case of Linear Models, Jill P. Brown.- Difficulties in Teaching Modelling: A French-Spanish Exploration, Richard Cabassut and Irene Ferrando.- How Students Connect Mathematical Models to Descriptions of Real-World Situations, Dirk De Bock, Nele Veracx and Wim Van Dooren.- Mathematical Modelling Strategies and Attitudes of Third Year Pre-Service Teachers, Rina Durandt and Gerrie J Jacobs.- Exploring the Notion of Mathematical Literacy in Curricula Documents, Peter Frejd and Vincent Geiger.- Design and Implementation of a Tool for Analysing Student Products when They Solve Fermi Problems, Cйsar Gallart, Irene Ferrando, Lluнs M. Garcнa-Raffi, Lluнs Albarracнn and Nъria Gorgoriу.- Implementing Modelling into Classrooms - Results of an Empirical Research Study, Jana Kreckler.- A Commognitive Perspective on Pre-service Secondary Teachers' Content Knowledge in Mathematical Modelling, Joo Young Park.- Mathematics Teachers' Learning at the Boundaries of Teaching, Research and Workplace, Giorgos Psycharis and Despina Potari.- Case Study of Pre-service Teachers Education for Mathematical Modelling and Applications Connecting Paintings with Mathematics, Akihiko Saeki, Masafumi Kaneko and Daisuke Saito.- Inquiry and Modelling in a Real Archaeological Context, Gemma Sala Sebastiа, Vicenз Font Moll, Joaquim Gimйnez Rodrнguez, Berta Barquero Farrаs.- Students' Overreliance on Linearity in Economic Applications: A State of the Art, Daam Van Reeth and Dirk De Bock.- Part III Pedagogical Issues for Teachers and Teacher Educators Using Mathematical Mod
Автор: Tall Название: How Humans Learn to Think Mathematically ISBN: 1107035708 ISBN-13(EAN): 9781107035706 Издательство: Cambridge Academ Рейтинг: Цена: 14731.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: How Humans Learn to Think Mathematically describes the development of mathematical thinking from the young child to the sophisticated adult. Professor David Tall`s analysis offers a shared framework for understanding mathematical growth from practical beginnings through theoretical developments, to the continuing evolution of mathematical thinking.
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.
Описание: This book is open access under a CC BY 4.0 license. The book presents the Proceedings of the 13th International Congress on Mathematical Education (ICME-13) and is based on the presentations given at the 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft fur Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 brought together about 3.500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. Directly before the congress activities were offered for 450 Early Career Researchers. The proceedings give a comprehensive overview on the current state-of-the-art of the discussions on mathematics education and display the breadth and deepness of current research on mathematical teaching-and-learning processes. The book introduces the major activities of ICME-13, namely articles from the four plenary lecturers and two plenary panels, articles from the five ICMI awardees, reports from six national presentations, three reports from the thematic afternoon devoted to specific features of ICME-13. Furthermore, the proceedings contain descriptions of the 54 Topic Study Groups, which formed the heart of the congress and reports from 29 Discussion Groups and 31 Workshops. The additional important activities of ICME-13, namely papers from the invited lecturers, will be presented in the second volume of the proceedings.
In this book, Raymond Duval shows how his theory of registers of semiotic representation can be used as a tool to analyze the cognitive processes through which students develop mathematical thinking. To Duval, the analysis of mathematical knowledge is in its essence the analysis of the cognitive synergy between different kinds of semiotic representation registers, because the mathematical way of thinking and working is based on transformations of semiotic representations into others. Based on this assumption, he proposes the use of semiotics to identify and develop the specific cognitive processes required to the acquisition of mathematical knowledge. In this volume he presents a method to do so, addressing the following questions:
- How to situate the registers of representation regarding the other semiotic "theories"
- Why use a semio-cognitive analysis of the mathematical activity to teach mathematics
- How to distinguish the different types of registers
- How to organize learning tasks and activities which take into account the registers of representation
- How to make an analysis of the students' production in terms of registers
Building upon the contributions he first presented in his classic book Semiosis et pensee humaine, in this volume Duval focuses less on theoretical issues and more on how his theory can be used both as a tool for analysis and a working method to help mathematics teachers apply semiotics to their everyday work. He also dedicates a complete chapter to show how his theory can be applied as a new strategy to teach geometry.
"Understanding the Mathematical Way of Thinking - The Registers of Semiotic Representations is an essential work for mathematics educators and mathematics teachers who look for an introduction to Raymond Duval's cognitive theory of semiotic registers of representation, making it possible for them to see and teach mathematics with fresh eyes."
"This book is interesting and well-written. The research methods were explained clearly and conclusions were summarized nicely. It is a relatively quick read at only 130 pages. Anyone who has been told, or who has told others, that mathematicians make better thinkers should read this book."
MAA Reviews
"The authors particularly attend to protecting positive correlations against the self-selection interpretation, merely that logical minds elect studying more mathematics. Here, one finds a stimulating survey of the systemic difficulties people have with basic syllogisms and deductions."
CHOICE connect
"The authors particularly attend to protecting positive correlations against the self-selection interpretation, merely that logical minds elect studying more mathematics. Here, one finds a stimulating survey of the systemic difficulties people have with basic syllogisms and deductions."
CHOICE Connect
For centuries, educational policymakers have believed that studying mathematics is important, in part because it develops general thinking skills that are useful throughout life. This 'Theory of Formal Discipline' (TFD) has been used as a justification for mathematics education globally. Despite this, few empirical studies have directly investigated the issue, and those which have showed mixed results.
Does Mathematical Study Develop Logical Thinking? describes a rigorous investigation of the TFD. It reviews the theory's history and prior research on the topic, followed by reports on a series of recent empirical studies. It argues that, contrary to the position held by sceptics, advanced mathematical study does develop certain general thinking skills, however these are much more restricted than those typically claimed by TFD proponents.
Perfect for students, researchers and policymakers in education, further education and mathematics, this book provides much needed insight into the theory and practice of the foundations of modern educational policy.
Автор: de Freitas Название: What is a Mathematical Concept? ISBN: 1107134633 ISBN-13(EAN): 9781107134638 Издательство: Cambridge Academ Рейтинг: Цена: 15840.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides a contemporary resource for scholars and students whose work takes up the philosophical and sociological dimensions of number, quantity, measure, and mathematics in some manner. Leaders in their fields offer new insights into what is a mathematical concept, drawing on contemporary cultural theory and mathematical practice.
Автор: Sophian, Catherine Название: Origins of mathematical knowledge in childhood ISBN: 0415877709 ISBN-13(EAN): 9780415877701 Издательство: Taylor&Francis Рейтинг: Цена: 8267.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: First published in 2010. Routledge is an imprint of Taylor & Francis, an informa company.
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