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Proceedings of the 13th International Congress on Mathematical Education: ICME-13

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Book Series: ICME-13 Monographs ISSN: 2520-8322 / 2520-8330 ISBN: 9783319625966 9783319625973 Year: Pages: 766 DOI: https://doi.org/10.1007/978-3-319-62597-3 Language: English
Publisher: Springer Nature
Subject: Mathematics
Added to DOAB on : 2017-11-24 15:18:22
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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 für 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.

Fourier Transforms - High-tech Application and Current Trends

Authors: --- ---
ISBN: 9789535128939 9789535128946 9789535141143 Year: Pages: 262 DOI: 10.5772/62751 Language: English
Publisher: IntechOpen
Subject: Computer Science
Added to DOAB on : 2019-10-03 07:51:49

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The main purpose of this book is to provide a modern review about recent advances in Fourier transforms as the most powerful analytical tool for high-tech application in electrical, electronic, and computer engineering, as well as Fourier transform spectral techniques with a wide range of biological, biomedical, biotechnological, pharmaceutical, and nanotechnological applications. The confluence of Fourier transform methods with high tech opens new opportunities for detection and handling of atoms and molecules using nanodevices, with potential for a large variety of scientific and technological applications.

Resonance

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ISBN: 9789535136330 9789535136347 Year: Pages: 254 DOI: 10.5772/intechopen.68248 Language: English
Publisher: IntechOpen
Subject: Mathematics
Added to DOAB on : 2019-10-03 07:51:50

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Resonance is a common phenomenon, which is observed both in nature and in numerous devices and structures. It occurs in literally all types of vibrations. To mention just a few examples, acoustic, mechanical, or electromagnetic resonance can be distinguished. In the present book, 12 chapters dealing with different aspects of resonance phenomena have been presented.

The Mathematics Education of Prospective Secondary Teachers Around the World

Authors: --- --- --- --- et al.
Book Series: ICME-13 Topical Surveys ISSN: 2366-5947 ISBN: 9783319389646 9783319389653 Year: Pages: 58 DOI: 10.1007/978-3-319-38965-3 Language: English
Publisher: Springer Nature
Subject: Education --- Mathematics
Added to DOAB on : 2017-02-24 12:31:16
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This volume shares and discusses significant new trends and developments in research and practices related to various aspects of preparing prospective secondary mathematics teachers from 2005–2015. It provides both an overview of the current state-of-the-art and outstanding recent research reports from an international perspective. The authors completed a thorough review of the literature by examining major journals in the field of mathematics education, and other journals related to teacher education and technology. The systematic review includes four major themes: field experiences; technologies, tools and resources; teachers' knowledge; and teachers' professional identities. Each of them is presented regarding theoretical perspectives, methodologies, and major findings. Then the authors discuss what is known in the field and what we still need to know related to the major topics.

Prioritering og progresjon i skolematematikken

Authors: ---
ISBN: 9788202585280 Year: Pages: 318 DOI: 10.23865/noasp.26 Language: Uncoded
Publisher: Cappelen Damm Akademisk/NOASP (Nordic Open Access Scholarly Publishing) Grant: University of Oslo
Subject: Mathematics --- Education
Added to DOAB on : 2018-01-29 13:32:13
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Norway is a leading country in the world when it comes to not prioritizing algebra in school mathematics, the mathematical language many students will need for further education and professions. Analysis of data from TIMSS, TIMSS Advanced and other international comparative studies have concluded that this result is consistent across 20 years of research. Norwegian students perform well in domains such as statistics/data, and alarmingly low in algebra. This conclusion is based on data from all levels in school: Primary school, lower secondary school, upper secondary school, and teacher education. The international studies indicate that East Asian, Eastern European and Latin European countries prioritize algebra more strongly than Norway or other Nordic and English-speaking countries. Several of the countries performing well in algebra, also seem to have some sort of balance between teaching algebra and teaching statistics, while there is a huge difference between the student scores on these domains in Norway. It almost seems as though “students learn statistics instead of learning algebra”. The importance of taking into account the type of mathematical content which is tested in different studies before drawing conclusions, is also addressed in the book. For instance, PISA mathematics is compared to TIMSS grade 8 mathematics when it comes to mathematical theory involvement. On the other hand, it is emphasized that it is necessary to have information from different studies to make valid conclusions concerning mathematics in schools. The importance of cooperation between countries all over the world in developing school mathematics, with countries learning from each other, is also discussed. The book is a result of cooperation between researchers at the Department of teacher education and school research (ILS) and the Department of mathematics, both at the University of Oslo, and school teachers in an upper secondary school. The results are discussed from a teacher education perspective, a school teacher perspective and from the perspective of the national curriculum for schools in Norway. Some of the chapters in the book are devoted to going through all the test items in TIMSS Advanced 2015 which can be published, and it is described how these items can be used both by teachers in school and in teacher education at universities.

Keywords

timms --- mathematics --- algebra --- undervisning --- skole --- matematikk --- education

Associations between Reading and Mathematics: Genetic, Brain Imaging, Cognitive and Educational Perspectives

Authors: --- ---
Book Series: Frontiers Research Topics ISSN: 16648714 ISBN: 9782889452651 Year: Pages: 113 DOI: 10.3389/978-2-88945-265-1 Language: English
Publisher: Frontiers Media SA
Subject: Science (General) --- Psychology
Added to DOAB on : 2018-02-27 16:16:44
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Converging evidence demonstrates a strong link between reading and mathematics: multiple cognitive processes are shared between reading and mathematics, including the representation and retrieval of symbolic information, attention, working memory, and cognitive control. Additionally, multiple brain networks are involved in both math and reading, and last, common genetic factors might influence both reading and math. Hence, it comes as no surprise that there are meaningful associations between (aspects of) math and reading abilities. Moreover, comorbidity rates between math learning disabilities (MD) and reading disabilities (RD) are high (up to 66%) and prevalence rate of the comorbid condition is reported to be more common than the prevalence rate of isolated math learning disabilities. Accordingly, the goal of the research topic is to explore the underline mechanisms of this overlap between reading and math. The research topic aims to include the following topics: • Genetics - it has been found that both RD and MD are based on genetic factors and run in families. Moreover, math problem solving shares significant genetic overlap with general cognitive ability and reading decoding, whereas math fluency shares significant genetic overlap with reading fluency and general cognitive ability. Hence, this topic will explore the shared and unique genetic risk factors to RD and MD, In addition to shared and unique genetic influence on reading and math. • Neural perspective - converging evidence from both structural and multiple functional imaging studies, involving a wide range of numerical tasks, points to the intraparietal sulcus (IPS) as a core region that involve in quantity manipulation. However, several additional brain areas, such as frontoparietal and temporoparietal areas were found to be involved in numerical tasks. Individuals with MD show deficits in a distributed, set of brain regions that include the IPS, fusiform gyrus in posterior brain regions and pre frontal cortex regions. Similarly, converging evidence indicate that the left hemisphere regions centered in the fusiform gyrus, temporoparietal cortex, and pre frontal cortex regions are strongly involve in typical reading and present lower activity, connectivity or abnormal structure in RD. Thus, there is a meaningful neural overlap between reading and math. Hence, the authors can submit empirical studies on the role of several of brain regions that are involved in math and reading (commonality and diversity) both in the typical and a-typical development. • Cognitive factors that play role in mathematics and reading, and comorbidity between RD and MD - There is a long lasting debate whether MD and RD originate from unique cognitive mechanisms or not. Multiple cognitive processes are shared between reading and mathematics. Therefore, impairments in any one of domain-general skills could conceivably play an important role in both pure and comorbid conditions. Moreover, it has been suggested that phonological processing has a significant role in some aspects of numerical processing such as retrieval of arithmetical facts. • Education - it will be interesting to look at the effect of interventions that aim to improve reading (such as phonological awareness) and there transfer effect on improving mathematical processing. Alternatively, it will be good to test whether math interventions will improve reading.

Dynamical Systems - Analytical and Computational Techniques

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ISBN: 9789535130154 9789535130161 Year: Pages: 274 DOI: 10.5772/63189 Language: English
Publisher: IntechOpen
Subject: Mathematics
Added to DOAB on : 2019-10-03 07:51:49

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There has been a considerable progress made during the recent past on mathematical techniques for studying dynamical systems that arise in science and engineering. This progress has been, to a large extent, due to our increasing ability to mathematically model physical processes and to analyze and solve them, both analytically and numerically. With its eleven chapters, this book brings together important contributions from renowned international researchers to provide an excellent survey of recent advances in dynamical systems theory and applications. The first section consists of seven chapters that focus on analytical techniques, while the next section is composed of four chapters that center on computational techniques.

Fractal Analysis - Applications in Physics, Engineering and Technology

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ISBN: 9789535131915 9789535131922 Year: Pages: 294 DOI: 10.5772/65531 Language: English
Publisher: IntechOpen
Subject: Mathematics
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Fractal analysis has entered a new era. The applications to different areas of knowledge have been surprising. Let us begin with the fractional calculus-fractal geometry relationship, which allows for modeling with extreme precision of phenomena such as diffusion in porous media with fractional partial differential equations in fractal objects. Where the order of the equation is the same as the fractal dimension, this allows us to make calculations with enormous precision in diffusion phenomena-particularly in the oil industry, for new spillage prevention. Main applications to industry, design of fractal antennas to receive all frequencies and that is used in all cell phones, spacecraft, radars, image processing, measure, porosity, turbulence, scattering theory. Benoit Mandelbrot, creator of fractal geometry, would have been surprised by the use of fractal analysis presented in this book: ""Part I: Petroleum Industry and Numerical Analysis""; ""Part II: Fractal Antennas, Spacecraft, Radars, Image Processing, and Measure""; and ""Part III: Scattering Theory, Porosity, and Turbulence."" It's impossible to picture today's research without fractal analysis.

Mathematics Teacher Preparation in Central America and the Caribbean

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Book Series: SpringerBriefs in Education ISBN: 9783319441771 Year: Pages: 86 DOI: 10.1007/978-3-319-44177-1 Language: English
Publisher: Springer Nature
Subject: Education --- Political Science
Added to DOAB on : 2020-10-15 00:06:05
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*THIS BOOK WILL SOON BECOME AVAILABLE AS OPEN ACCESS BOOK* This book is an excellent synthesis of the initial and continuing preparation for Mathematics Teaching in Colombia, Costa Rica, Dominican Republic and Venezuela, from which comparative analyses can be made that show similarities and differences, and highlight various perspectives. In August 2012, a workshop of the Capacity and Networking Project (CANP) of the International Commission on Mathematical Instruction (ICMI) was held in Costa Rica. This CANP brought together for two weeks a group of 66 Mathematics educators, mathematicians, university administrators, and elementary and secondary teachers from Colombia, Venezuela, the Dominican Republic, Panamá and Costa Rica. The goal was to promote progress in Mathematics Education in the region; as such it was a unique experience in the region. One of the most important results of this event was the creation of the Mathematics Education Network of Central America and the Caribbean (REDUMATE). It was organized by persons associated with the Mathematics Education Reform Project in Costa Rica (responsible for the most outstanding and innovative curriculum reform in Latin America) and the Inter-American Committee on Mathematics Education (IACME), which is an official regional multinational organization affiliate of ICMI. This book brings to the international Educational Community an important collection of experiences and ideas in the Mathematics Education of four countries of a region within the heart of the American continent, a region that has been many times forgotten. The dissemination of these results can promote the search for international collaborative actions in a wider scale.

Uses of Technology in Upper Secondary Mathematics Education

Authors: --- --- --- --- et al.
Book Series: ICME-13 Topical Surveys ISSN: 2366-5947 ISBN: 9783319426105 9783319426112 Year: Pages: 36 DOI: 10.1007/978-3-319-42611-2 Language: English
Publisher: Springer Nature
Subject: Education --- Mathematics
Added to DOAB on : 2017-02-24 12:46:50
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This survey addresses the use of technology in upper secondary mathematics education from four points of view: theoretical analysis of epistemological and cognitive aspects of activity in new technology mediated learning environments, the changes brought by technology in the interactions between environment, students and teachers, the interrelations between mathematical activities and technology, skills and competencies that must be developed in teacher education. Research shows that the use of some technologies may deeply change the solving processes and contribute to impact the learning processes. The questions are which technologies to choose for which purposes, and how to integrate them, so as to maximize all students’ agency. In particular the role of the teacher in classrooms and the content of teacher education programs are critical for taking full advantage of technology in teaching practice.

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