Описание: In this remarkable book, John SanGiovanni reminds us that mathematical mistakes are not random, and when we take the time to "mine the gap," we can dispel misunderstandings before they take root.
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.
Автор: Singer Florence Mihaela Название: Mathematical Problem Posing ISBN: 1461462576 ISBN-13(EAN): 9781461462576 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book analyzes the contribution of a problem posing approach to teaching mathematics, including discussion of its impact on the development of theoretical frameworks, teaching practices and research on mathematical problem posing over the last 50 years.
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.
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.
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
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.
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.
"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: Kaye Stacey; Ross Turner Название: Assessing Mathematical Literacy ISBN: 331910120X ISBN-13(EAN): 9783319101200 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: First, the origins of PISA`s concept of mathematical literacy are discussed, highlighting the underlying themes of mathematics as preparation for life after school and mathematical modelling of the real world, and clarifying PISA`s position within this part of the mathematics education territory.
Описание: Addresses a focused theme on mathematics education. This title intends to illustrate the diversity within the theme and the research that translates into classroom pedagogies. It illuminates how application and modelling tasks may help develop the capacity of students to use mathematics in their present and future lives.
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