Mathematical Stories I – Graphs, Games and Proofs

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Publisher : Springer Nature
ISBN 13 : 3658327332
Total Pages : 62 pages
Book Rating : 4.6/5 (583 download)

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Book Synopsis Mathematical Stories I – Graphs, Games and Proofs by : Susanne Schindler-Tschirner

Download or read book Mathematical Stories I – Graphs, Games and Proofs written by Susanne Schindler-Tschirner and published by Springer Nature. This book was released on 2021-06-04 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the help of tried and tested, carefully elaborated learning units, the authors convey fundamental mathematical techniques in this essential, which are important far beyond primary school. In the present volume I, path problems and word puzzles are modeled and solved using undirected and directed graphs. Simple math games are systematically analyzed and the optimal strategies are determined. Students learn to gradually reduce difficult problems to simpler ones and to provide evidence in different contexts. The tasks encourage mathematical thinking, imagination and creativity. The detailed sample solutions are designed for non-mathematicians. This book is a translation of the original German 1st edition Mathematische Geschichten I – Graphen, Spiele und Beweise by Susanne Schindler-Tschirner and Werner Schindler, published by Springer Fachmedien Wiesbaden GmbH, part of Springer Nature in 2019. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors.

Dialogical Inquiry in Mathematics Teaching and Learning

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Publisher : LIT Verlag
ISBN 13 : 3643965141
Total Pages : 194 pages
Book Rating : 4.6/5 (439 download)

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Book Synopsis Dialogical Inquiry in Mathematics Teaching and Learning by : Nadia Stoyanova

Download or read book Dialogical Inquiry in Mathematics Teaching and Learning written by Nadia Stoyanova and published by LIT Verlag. This book was released on 2023-10-31 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: The collection of papers in this anthology represents what may be a broad exploration of the role of philosophical inquiry in the classroom and in mathematics teacher education, a topos characterized by multiple, intersecting themes, all of which converge on a central question: what is the role of mathematics in the construction of the realities we live by, and could that role be different if we became aware of its invisible power? In the age of the Anthropocene - an era in which technological intervention plays an ever more central role in the way we build, develop and attempt to maintain our increasingly fragile and risk-prone human and natural world, what are the implications of the hegemonic epistemic status of mathematics in those processes? Does mathematics define the conditions of possibility of all knowledge, whether expressed in a theory or silently invested in a practice? Does or can mathematics and its presumed value-neutrality serve to limit, constrain, suppress, and even preclude other, perhaps more valuable forms of knowledge? Alternatively, can philosophical dialogue about mathematics serve to clarify, unmask, reframe and recreate our understanding of mathematics and its symbolic power in the human and material world, and act as an emancipatory form of knowledge in culture and society? What would such dialogues look like in the mathematics classroom? The papers in this volume address these questions in various contexts and registers, and provide prospective and in-service teachers with compelling and suggestive ways of responding to them. A must-read for math educators everywhere. Nadia Stoyanova Kennedy, Associate Professor of Mathematics Education, City University of New York, USA. Eva Marsal, Professor of Philosophy, University of Education, Karlsruhe, Germany & University of Warsaw, Poland.

Semiotics as a Tool for Learning Mathematics

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Publisher : Springer
ISBN 13 : 9463003371
Total Pages : 224 pages
Book Rating : 4.4/5 (63 download)

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Book Synopsis Semiotics as a Tool for Learning Mathematics by : Adalira Sáenz-Ludlow

Download or read book Semiotics as a Tool for Learning Mathematics written by Adalira Sáenz-Ludlow and published by Springer. This book was released on 2015-12-17 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semiotics as a Tool for Learning Mathematics is a collection of ten theoretical and empirical chapters, from researchers all over the world, who are interested in semiotic notions and their practical uses in mathematics classrooms. Collectively, they present a semiotic contribution to enhance pedagogical aspects both for the teaching of school mathematics and for the preparation of pre-service teachers. This enhancement involves the use of diagrams to visualize implicit or explicit mathematical relations and the use of mathematical discourse to facilitate the emergence of inferential reasoning in the process of argumentation. It will also facilitate the construction of proofs and solutions of mathematical problems as well as the progressive construction of mathematical conceptions that, eventually, will approximate the concept(s) encoded in mathematical symbols. These symbols hinge not only of mental operations but also on indexical and iconic aspects; aspects which often are not taken into account when working on the meaning of mathematical symbols. For such an enhancement to happen, it is necessary to transform basic notions of semiotic theories to make them usable for mathematics education. In addition, it is also necessary to back theoretical claims with empirical data. This anthology attempts to deal with such a conjunction. Overall, this book can be used as a theoretical basis for further semiotic considerations as well as for the design of different ways of teaching mathematical concepts.

Problem Solving in Mathematics Education

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Publisher : WTM-Verlag Münster
ISBN 13 : 3942197731
Total Pages : 107 pages
Book Rating : 4.9/5 (421 download)

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Book Synopsis Problem Solving in Mathematics Education by : Kinga Szücs

Download or read book Problem Solving in Mathematics Education written by Kinga Szücs and published by WTM-Verlag Münster. This book was released on 2011-06-30 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: ProMath is a small group of didacts of mathematics, who have the common scientific interest on problem solving activities in mathematics education. The 12th meeting of this group, the 12th international ProMath Conference was hold at the Friedrich-Schiller-University of Jena, Germany, 10-12 September 2010. This volume contains almost all the papers regarding to the presentations which were given during the meeting.

Teaching and Learning Algebraic Thinking with 5- to 12-Year-Olds

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Publisher : Springer
ISBN 13 : 3319683519
Total Pages : 443 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Teaching and Learning Algebraic Thinking with 5- to 12-Year-Olds by : Carolyn Kieran

Download or read book Teaching and Learning Algebraic Thinking with 5- to 12-Year-Olds written by Carolyn Kieran and published by Springer. This book was released on 2017-12-04 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights new developments in the teaching and learning of algebraic thinking with 5- to 12-year-olds. Based on empirical findings gathered in several countries on five continents, it provides a wealth of best practices for teaching early algebra. Building on the work of the ICME-13 (International Congress on Mathematical Education) Topic Study Group 10 on Early Algebra, well-known authors such as Luis Radford, John Mason, Maria Blanton, Deborah Schifter, and Max Stephens, as well as younger scholars from Asia, Europe, South Africa, the Americas, Australia and New Zealand, present novel theoretical perspectives and their latest findings. The book is divided into three parts that focus on (i) epistemological/mathematical aspects of algebraic thinking, (ii) learning, and (iii) teaching and teacher development. Some of the main threads running through the book are the various ways in which structures can express themselves in children’s developing algebraic thinking, the roles of generalization and natural language, and the emergence of symbolism. Presenting vital new data from international contexts, the book provides additional support for the position that essential ways of thinking algebraically need to be intentionally fostered in instruction from the earliest grades.

International Reflections on the Netherlands Didactics of Mathematics

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Publisher : Springer
ISBN 13 : 3030202232
Total Pages : 369 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis International Reflections on the Netherlands Didactics of Mathematics by : Marja van den Heuvel-Panhuizen

Download or read book International Reflections on the Netherlands Didactics of Mathematics written by Marja van den Heuvel-Panhuizen and published by Springer. This book was released on 2019-08-13 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book, inspired by the ICME 13 Thematic Afternoon on “European Didactic Traditions”, takes readers on a journey with mathematics education researchers, developers and educators in eighteen countries, who reflect on their experiences with Realistic Mathematics Education (RME), the domain-specific instruction theory for mathematics education developed in the Netherlands since the late 1960s. Authors from outside the Netherlands discuss what aspects of RME appeal to them, their criticisms of RME and their past and current RME-based projects. It is clear that a particular approach to mathematics education cannot simply be transplanted to another country. As such, in eighteen chapters the authors describe how they have adapted RME to their individual circumstances and view on mathematics education, and tell their personal stories about how RME has influenced their thinking on mathematics education.

Real-World Problems for Secondary School Mathematics Students

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Publisher : Springer Science & Business Media
ISBN 13 : 9460915434
Total Pages : 283 pages
Book Rating : 4.4/5 (69 download)

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Book Synopsis Real-World Problems for Secondary School Mathematics Students by : Juergen Maasz

Download or read book Real-World Problems for Secondary School Mathematics Students written by Juergen Maasz and published by Springer Science & Business Media. This book was released on 2011-10-30 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book full of ideas for introducing real world problems into mathematics classrooms and assisting teachers and students to benefit from the experience. Taken as a whole these contributions provide a rich resource for mathematics teachers and their students that is readily available in a single volume. Nowadays there is a universal emphasis on teaching for understanding, motivating students to learn mathematics and using real world problems to improve the mathematics experience of school students. However, using real world problems in mathematics classrooms places extra demands on teachers in terms of extra-mathematical knowledge e.g. knowledge of the area of applications, and pedagogical knowledge. Care must also be taken to avoid overly complex situations and applications. Papers in this collection offer a practical perspective on these issues, and more. While many papers offer specific well worked out lesson type ideas, others concentrate on the teacher knowledge needed to introduce real world applications of mathematics into the classroom. We are confident that mathematics teachers who read the book will find a myriad of ways to introduce the material into their classrooms whether in ways suggested by the contributing authors or in their own ways, perhaps through mini-projects or extended projects or practical sessions or enquiry based learning. We are happy if they do! This book is written for mathematics classroom teachers and their students, mathematics teacher educators, and mathematics teachers in training at pre-service and in-service phases of their careers.

International Perspectives on Teacher Knowledge, Beliefs and Opportunities to Learn

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Publisher : Springer Science & Business Media
ISBN 13 : 9400764375
Total Pages : 581 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis International Perspectives on Teacher Knowledge, Beliefs and Opportunities to Learn by : Sigrid Blömeke

Download or read book International Perspectives on Teacher Knowledge, Beliefs and Opportunities to Learn written by Sigrid Blömeke and published by Springer Science & Business Media. This book was released on 2013-09-09 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews the Teacher Education and Development Study: Learning to Teach Mathematics, which tested 23,000 primary and secondary level math teachers from 16 countries on content knowledge and asked their opinions on beliefs and opportunities to learn.

Mathematical Stories II - Recursion, Divisibility and Proofs

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Publisher : Springer Nature
ISBN 13 : 3658386118
Total Pages : 69 pages
Book Rating : 4.6/5 (583 download)

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Book Synopsis Mathematical Stories II - Recursion, Divisibility and Proofs by : Susanne Schindler-Tschirner

Download or read book Mathematical Stories II - Recursion, Divisibility and Proofs written by Susanne Schindler-Tschirner and published by Springer Nature. This book was released on 2023-04-13 with total page 69 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using field-tested, carefully crafted units of study, the authors in this essential teach fundamental mathematical techniques that are relevant well beyond the elementary school years. In this Volume II, the Gaussian summation formula and a recursion formula are derived and applied. Tasks on divisibility, prime factors and divisors follow. For calculating with remainders, the modulo calculation is introduced and applied. Students learn to perform proofs in a variety of contexts. As in Volume I, "Graphs, Games, and Proofs," the tasks encourage mathematical thinking skills, imagination, and creativity. The detailed sample solutions are designed for non-mathematicians. This book is a translation of the original German 1st edition Mathematische Geschichten II – Rekursion, Teilbarkeit und Beweise by Susanne Schindler-Tschirner and Werner Schindler, published by Springer Fachmedien Wiesbaden GmbH, part of Springer Nature in 2019. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors.

International Perspectives on Gender and Mathematics Education

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Publisher : IAP
ISBN 13 : 1617350435
Total Pages : 467 pages
Book Rating : 4.6/5 (173 download)

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Book Synopsis International Perspectives on Gender and Mathematics Education by : Olof Steinthorsdottir

Download or read book International Perspectives on Gender and Mathematics Education written by Olof Steinthorsdottir and published by IAP. This book was released on 2010-06-01 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why a book on gender issues in mathematics in the 21st century? Several factors have influenced the undertaking of this project by the editors. First, an international volume focusing on gender and mathematics has not appeared since publication of papers emerging from the 1996 International Congress on Mathematical Education (Keitel, 1998). Surely it was time for an updated look at this critical area of mathematics education. Second, we have had lively discussion and working groups on gender issues at conferences of the International Group for the Psychology of Mathematics Education [PME] for the past four years, sessions at which stimulating and ground-breaking research has been discussed by participants from many different countries. Some publication seemed essential to share this new knowledge emerging from a wider variety of countries and from different cultural perspectives. Third, some western countries such as Australia and the USA have experienced in recent years a focus on the “boy problem,” with an underlying assumption that issues of females and mathematics have been solved and are no longer worthy of interest. Thus it seemed timely to look more closely at the issue of gender and mathematics internationally. When the idea for this volume first emerged, invitations were issued to those regularly attending the working and discussion groups at PME. Potential authors were charged to focus on gender issues in mathematics and were given wide scope to hone in on the issues that were central to their own research efforts, or were in receipt or in need of close attention in their own national or regional contexts.

“Dig Where You Stand” 7

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Publisher : WTM-Verlag Münster
ISBN 13 : 3959872569
Total Pages : 386 pages
Book Rating : 4.9/5 (598 download)

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Book Synopsis “Dig Where You Stand” 7 by : Kristín Bjarnadóttir

Download or read book “Dig Where You Stand” 7 written by Kristín Bjarnadóttir and published by WTM-Verlag Münster. This book was released on 2023-10-31 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: The history of mathematics education is an interdisciplinary research area that is experiencing a significant development and this book presents recent work in this area. This book is the result of the seventh conference ICHME (International Conference on the History of Mathematics Education) that took place at Erbacher Hof, Mainz (Germany) from 19th to 23rd of September 2022. Nowadays, the history of education is of the utmost importance for assessing the general development of the educational system(s) in which mathematics education occurs. Usually, the history of education is confined to history within a given civilization, country or nation. However, the quality of the research for a given nation is enhanced when situated among various specific cases, and comparative studies provide essential tools to broaden the perspectives to an international level. Moreover, mathematics, as a school discipline, has always functioned at the crossroads between general education and professional training, thus relating its teaching history to professional working environments as well. The 24 chapters in this book reflect this wide area of research.

Coding Made Easy: Space and Shape

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Publisher : Auer Verlag
ISBN 13 : 3403107698
Total Pages : 96 pages
Book Rating : 4.4/5 (31 download)

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Book Synopsis Coding Made Easy: Space and Shape by : Katja Eilerts

Download or read book Coding Made Easy: Space and Shape written by Katja Eilerts and published by Auer Verlag. This book was released on 2023 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Professionelle Kompetenz angehender Lehrerinnen und Lehrer

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Publisher : BoD – Books on Demand
ISBN 13 : 3830919409
Total Pages : 514 pages
Book Rating : 4.8/5 (39 download)

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Book Synopsis Professionelle Kompetenz angehender Lehrerinnen und Lehrer by : Sigrid Blömeke

Download or read book Professionelle Kompetenz angehender Lehrerinnen und Lehrer written by Sigrid Blömeke and published by BoD – Books on Demand. This book was released on 2008 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Out-of-Field Teaching Across Teaching Disciplines and Contexts

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Publisher : Springer Nature
ISBN 13 : 9811693285
Total Pages : 394 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Out-of-Field Teaching Across Teaching Disciplines and Contexts by : Linda Hobbs

Download or read book Out-of-Field Teaching Across Teaching Disciplines and Contexts written by Linda Hobbs and published by Springer Nature. This book was released on 2022-02-18 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited book is a compilation of research by the members of the Out-of-Field Teaching Across Specialisations (OOF-TAS) Collective, and is the second book by the Collective. It extends from the work begun in the 2019 book, Examining the Phenomenon of “Teaching Out-of-Field” by showcasing the broad range of research agendas and findings relating to this phenomenon internationally. This book provides research and commentary relating to the out-of-field teaching phenomenon in primary, secondary and tertiary education, and across different subjects. It provides snapshots of the effects, causes, measurement, and other characteristics of out-of-field teaching in and across contexts, including states and countries, school types and school levels, subjects and specializations. The different chapters provide commentary at different units of analysis, and focus on: the effects of out-of-field teaching for teachers and their students; the school contexts/cultures that do or do not support them; the leadership practices that assign the teachers to out-of-field subjects; and the systems that create/perpetuate the need for out-of-field teaching assignments. Chapter 15 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Teacher Education Matters

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Publisher :
ISBN 13 :
Total Pages : 356 pages
Book Rating : 4.3/5 (97 download)

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Book Synopsis Teacher Education Matters by : William H. Schmidt

Download or read book Teacher Education Matters written by William H. Schmidt and published by . This book was released on 2011-01-20 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a major international teacher education research project—the Mathematics Teaching in the 21st Century Study (MT21)—this book investigates the preservice preparation of middle school mathematics teachers in the United States, South Korea, Taiwan, Germany, Bulgaria, and Mexico. The study was funded by the National Science Foundation and the participating countries. William Schmidt (co-author of the influential TIMSS study on student test results in science and math) and Maria Teresa Tatto (director of the Teacher Education and Development study, or TEDS-M) led a collaborative team of international researchers in this study. Using the results of more than 2,500 surveys, the authors examine the differential contribution of the six countries’ teacher-education models to the knowledge, skills, and dispositions of their future mathematics teachers. Case studies and detailed analyses of the teacher education curriculum across the participating countries provide rich contextual information to explain the survey findings. This study is the first to examine the resource allocation and economic support in teacher education vis-à-vis other mathematics-related professions, and it shows that differential investment patterns are consistent with the level of teaching knowledge found in each country’s new teachers. The book includes a chapter on policy implications, with a special focus on teacher preparation in the United States.

Cognitive Models and Intelligent Environments for Learning Programming

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Publisher : Springer Science & Business Media
ISBN 13 : 3662113341
Total Pages : 318 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Cognitive Models and Intelligent Environments for Learning Programming by : Enrica Lemut

Download or read book Cognitive Models and Intelligent Environments for Learning Programming written by Enrica Lemut and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: At present, there is a general consensus on the nature of learning programming, but there are different opinions on what forms an effective environment for it. It is generally recognized that the development of a mental model is a formidable task for the student and that learning programming is a complex activity that depends heavily on metacognitive skills. This book, based on a NATO workshop, presents both pure cognitive models and experimental learning environments, and discusses what characteristics can make a learning model effective, especially in relation to the learning environment (natural or computerized). The papers cover cognitive models related to different aspects of programming, classes of learners, and types of environment, and are organized in three groups: theoretical and empirical studies on understanding programming, environments for learning programming, and learning programming in school environments. Comprehension, design, construction, testing, debugging, and verification are recognized as interdependent skills, which require complicated analysis and may develop independently, and indifferent orders, in novices. This book shows that there is unlikely to be asingle path from novice to expert and that the structure of the final product (the program) may not constrain the process by which it comes into being as much as some would advocate.

MU, Der Mathematikunterricht

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Publisher :
ISBN 13 :
Total Pages : 436 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis MU, Der Mathematikunterricht by :

Download or read book MU, Der Mathematikunterricht written by and published by . This book was released on 1992 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: