APOS Theory

APOS Theory PDF Author: Ilana Arnon
Publisher: Springer Science & Business Media
ISBN: 1461479665
Category : Education
Languages : en
Pages : 259

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Book Description
In spite of the fact that APOS Theory has been used extensively in numerous scholarly publications, in the design of textbooks, and in teaching practice, there is no single references that contains all the relevant information about its components, and provides guidance about its application. The goal of this book is to present the main elements of APOS theory. It should be useful for researchers who work with, or would like to learn more about, this theoretical approach, people who are interested in the way which mathematical conceptions are constructed according to this theory, Mathematics Education researchers, graduate students in Mathematics Education, and Mathematics instructors.

APOS Theory

APOS Theory PDF Author: Ilana Arnon
Publisher: Springer Science & Business Media
ISBN: 1461479665
Category : Education
Languages : en
Pages : 259

Get Book Here

Book Description
In spite of the fact that APOS Theory has been used extensively in numerous scholarly publications, in the design of textbooks, and in teaching practice, there is no single references that contains all the relevant information about its components, and provides guidance about its application. The goal of this book is to present the main elements of APOS theory. It should be useful for researchers who work with, or would like to learn more about, this theoretical approach, people who are interested in the way which mathematical conceptions are constructed according to this theory, Mathematics Education researchers, graduate students in Mathematics Education, and Mathematics instructors.

Encyclopedia of Mathematics Education

Encyclopedia of Mathematics Education PDF Author: Stephen Lerman
Publisher: Springer
ISBN: 9783030157883
Category : Education
Languages : en
Pages : 916

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Book Description
The Encyclopedia of Mathematics Education is a comprehensive reference text, covering every topic in the field with entries ranging from short descriptions to much longer pieces where the topic warrants more elaboration. The entries provide access to theories and to research in the area and refer to the leading publications for further reading. The Encyclopedia is aimed at graduate students, researchers, curriculum developers, policy makers, and others with interests in the field of mathematics education. It is planned to be 700 pages in length in its hard copy form but the text will subsequently be up-dated and developed on-line in a way that retains the integrity of the ideas, the responsibility for which will be in the hands of the Editor-in-Chief and the Editorial Board. This second edition will include additional entries on: new ideas in the politics of mathematics education, working with minority students, mathematics and art, other cross-disciplinary studies, studies in emotions and mathematics, new frameworks for analysis of mathematics classrooms, and using simulations in mathematics teacher education. Existing entries will be revised and new entries written. Members of the international mathematics education research community will be invited to propose new entries. Editorial Board: Bharath Sriraman Melony Graven Yoshinori Shimizu Ruhama Even Michele Artigue Eva Jablonka Wish to Become an Author? Springer's Encyclopedia of Mathematics Education's first edition was published in 2014. The Encyclopedia is a "living" project and will continue to accept articles online as part of an eventual second edition. Articles will be peer-reviewed in a timely manner and, if found acceptable, will be immediately published online. Suggested articles are, of course, welcome. Feel encouraged to think about additional topics that we overlooked the first time around, and to suggest colleagues (including yourself!) who will want to write them. Interested new authors should contact the editor in chief, Stephen Lerman, at [email protected], for more specific instructions.

Graph-Based Representation and Reasoning

Graph-Based Representation and Reasoning PDF Author: Peter Chapman
Publisher: Springer
ISBN: 3319913794
Category : Computers
Languages : en
Pages : 207

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Book Description
This book constitutes the proceedings of the 23rd International Conference on Conceptual Structures, ICCS 2018, held in Edinburgh, UK, in June 2018. The 10 full papers, 2 short papers and 2 posters presented were carefully reviewed and selected from 21 submissions. They are organized in the following topical sections: graph- and concept-based inference; computer- human interaction and human cognition; and graph visualization.

The Teaching and Learning of Mathematics at University Level

The Teaching and Learning of Mathematics at University Level PDF Author: Derek Holton
Publisher: Springer Science & Business Media
ISBN: 0306472317
Category : Education
Languages : en
Pages : 559

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Book Description
This is a text that contains the latest in thinking and the best in practice. It provides a state-of-the-art statement on tertiary teaching from a multi-perspective standpoint. No previous book has attempted to take such a wide view of the topic. The book will be of special interest to academic mathematicians, mathematics educators, and educational researchers. It arose from the ICMI Study into the teaching and learning of mathematics at university level (initiated at the conference in Singapore, 1998).

Advances in the Anthropological Theory of the Didactic

Advances in the Anthropological Theory of the Didactic PDF Author: Yves Chevallard
Publisher: Springer Nature
ISBN: 3030767914
Category : Education
Languages : en
Pages : 348

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Book Description
The book focuses on the latest developments of the Anthropological Theory of the Didactic (ATD) and its links with other approaches in mathematics education. Leading researchers in the ATD and especially its creator, Yves Chevallard, present recent research results, theoretical advances and new methodologies in this approach, concerning critical educational problems at all levels. The book is addressed to researchers in mathematics education and all related fields, to teacher educators and teachers in primary, secondary and tertiary education interested in curriculum issues and research in didactics. The book includes four sections that correspond to four axes of current research in the framework of the ATD. The first one studies the relations between the ATD and other research frameworks. The second section focuses on the crucial role of didactics in teacher education, and the experiences carried out at different instructional levels. The third section addresses the curriculum problem in the historical transition from the classical paradigm of visiting works to the emerging didactic paradigm of questioning the world. The last section is about research in didactics at the university level, with investigations about the analysis of didactic transposition processes and the design and implementation of various instructional formats.

Forms of Mathematical Knowledge

Forms of Mathematical Knowledge PDF Author: Dina Tirosh
Publisher: Springer Science & Business Media
ISBN: 940171584X
Category : Education
Languages : en
Pages : 264

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Book Description
What mathematics is entailed in knowing to act in a moment? Is tacit, rhetorical knowledge significant in mathematics education? What is the role of intuitive models in understanding, learning and teaching mathematics? Are there differences between elementary and advanced mathematical thinking? Why can't students prove? What are the characteristics of teachers' ways of knowing? This book focuses on various types of knowledge that are significant for learning and teaching mathematics. The first part defines, discusses and contrasts psychological, philosophical and didactical issues related to various types of knowledge involved in the learning of mathematics. The second part describes ideas about forms of mathematical knowledge that are important for teachers to know and ways of implementing such ideas in preservice and in-service education. The chapters provide a wide overview of current thinking about mathematics learning and teaching which is of interest for researchers in mathematics education and mathematics educators. Topics covered include the role of intuition in mathematics learning and teaching, the growth from elementary to advanced mathematical thinking, the significance of genres and rhetoric for the learning of mathematics and the characterization of teachers' ways of knowing.

Structural understanding in advanced mathematical thinking

Structural understanding in advanced mathematical thinking PDF Author: Naďa Stehlíková
Publisher: Nada Stehlikova
ISBN: 8072901729
Category :
Languages : en
Pages : 251

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Book Description


Learning Strategies in Engineering Mathematics

Learning Strategies in Engineering Mathematics PDF Author: Birgit Griese
Publisher: Springer
ISBN: 3658176199
Category : Education
Languages : en
Pages : 291

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Book Description
Birgit Griese presents MP2-Math/Plus, a support project for first-year students in engineering at Ruhr-Universität Bochum that aims at preventing unnecessary drop-out. Conceptualisation and development of the project follow a design research approach according to Gravemeijer, Cobb, and van den Akker. The interventions focus on learning strategies which are collected in a pre-post design with the aid of the LIST questionnaire by Wild and Schiefele. These and other data are utilised for the evaluation of MP2-Math/Plus. The results confirm the adaptations of the project procedures in successive cycles, stress the importance of effort and motivation, and assess the success of the project.

Mathematical Modelling and Applications

Mathematical Modelling and Applications PDF Author: Gloria Ann Stillman
Publisher: Springer
ISBN: 3319629689
Category : Education
Languages : en
Pages : 620

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Book Description
This volume documents on-going research and theorising in the sub-field of mathematics education devoted to the teaching and learning of mathematical modelling and applications. Mathematical modelling provides a way of conceiving and resolving problems in the life world of people whether these range from the everyday individual numeracy level to sophisticated new problems for society at large. Mathematical modelling and real world applications are considered as having potential for multi-disciplinary work that involves knowledge from a variety of communities of practice such as those in different workplaces (e.g., those of educators, designers, construction engineers, museum curators) and in different fields of academic endeavour (e.g., history, archaeology, mathematics, economics). From an educational perspective, researching the development of competency in real world modelling involves research situated in crossing the boundaries between being a student engaged in modelling or mathematical application to real word tasks in the classroom, being a teacher of mathematical modelling (in or outside the classroom or bridging both), and being a modeller of the world outside the classroom. This is the focus of many of the authors of the chapters in this book. All authors of this volume are members of the International Community of Teachers of Mathematical Modelling (ICTMA), the peak research body into researching the teaching and learning of mathematical modelling at all levels of education from the early years to tertiary education as well as in the workplace.

Language and Automata Theory and Applications

Language and Automata Theory and Applications PDF Author: Alberto Leporati
Publisher: Springer Nature
ISBN: 3030681955
Category : Computers
Languages : en
Pages : 343

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Book Description
This book constitutes the proceedings of the 15th International Conference on Language and Automata Theory and Applications, LATA 2021, held in Milan, Italy, in March 2021. The 26 full papers presented in this volume were carefully reviewed and selected from 52 submissions. They were organized in topical sections named: algebraic structures; automata; complexity; learning; logics and languages; trees and graphs; and words and strings.