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International Perspectives on the Teaching and Learning of Geometry in Secondary Schools
This book presents current perspectives on theoretical and empirical issues related to the teaching and learning of geometry at secondary schools. It contains chapters contributing to three main areas. A first set of chapters examines mathematical, epistemological, and curricular perspectives. A second set of chapters presents studies on geometry instruction and teacher knowledge, and a third set of chapters offers studies on geometry thinking and learning. Specific research topics addressed also include teaching practice, learning trajectories, learning difficulties, technological resources, instructional design, assessments, textbook analyses, and teacher education in geometry. Geometry re...
Solving Problems In Our Spatial World
'The reference list is excellent. This is a worthwhile (though 'niche') book that will be attractive to a particular sector of the general reading public interested in mathematical riddles and puzzles. Professional educators might well employ it in integrated learning settings. Summing Up: Recommended. All readers.'CHOICEImmerse yourself in the fascinating world of geometry and spatial ability — either individually or in small groups, either as challenges or play problems! Here are four reasons why you should work with this book:This book offers a very unique opportunity to enhance your spatial ability, your mathematical competence, and your logical thinking. The authors arranged 45 problems — including more than 120 tasks — in a well-balanced order, which have been tested with a variety of populations.
Seduced By Mathematics: The Enduring Fascination Of Mathematics
Seduction is not just an end result, but a process — and in mathematics, both the end results and the process by which those end results are achieved are often charming and elegant.This helps to explain why so many people — not just those for whom math plays a key role in their day-to-day lives — have found mathematics so seductive. Math is unique among all subjects in that it contains end results of amazing insight and power, and lines of reasoning that are clever, charming, and elegant. This book is a collection of those results and lines of reasoning that make us say, 'OMG, that's just amazing,' — because that's what mathematics is to those who love it. In addition, some of the st...
Mathematics: Its Historical Aspects, Wonders And Beyond
Whenever the topic of mathematics is mentioned, people tend to indicate their weakness in the subject as a result of not having enjoyed its instruction during their school experience. Many students unfortunately do not have very positive experiences when learning mathematics, which can result from teachers who have a tendency 'to teach to the test'. This is truly unfortunate for several reasons. First, basic algebra and geometry, which are taken by almost all students, are not difficult subjects, and all students should be able to master them with the proper motivational instruction. Second, we live in a technical age, and being comfortable with basic mathematics can certainly help you deal ...
Symposium Proceedings Innovative Teaching Practices
This volume contains the papers presented at the International Symposium: Innovative Teaching Practices held on August 14-18 2023 in The Queen’s College, Oxford University. The Symposium was organized by The Mathematics Education for the Future Project - an international philanthropic project founded in 1986 and dedicated to innovation in mathematics, science, computer and statistics education.
Very High Frequency (VHF) ESR/EPR
The field of Very High Frequency EPR (VHF EPR) or sometimes called Very High Field EPR (conveniently, also abbreviated as VHF EPR) has blossomed during the past decade, especially after the original pioneering work of Ya. S. Lebedev and his group at the Institute of Chemical Physics, Russian Academy of Sciences in Moscow. Although Lebedev suffered heavily under the economic constraints of the communist Soviet Union and then succumbed to cancer at the peak of his scientific career, his groundbreaking work from the 1970's is still considered today to be the 'gold standard' by researchers practicing EPR at high magnetic fields. A stimulus for the production of this book is the legacy of Yakov L...
Geometry In Our Three-dimensional World
The book presents a comprehensive overview of various aspects of three-dimensional geometry that can be experienced on a daily basis. By covering the wide range of topics — from the psychology of spatial perception to the principles of 3D modelling and printing, from the invention of perspective by Renaissance artists to the art of Origami, from polyhedral shapes to the theory of knots, from patterns in space to the problem of optimal packing, and from the problems of cartography to the geometry of solar and lunar eclipses — this book provides deep insight into phenomena related to the geometry of space and exposes incredible nuances that can enrich our lives.The book is aimed at the general readership and provides more than 420 color illustrations that support the explanations and replace formal mathematical arguments with clear graphical representations.
Engaging Young Students In Mathematics Through Competitions - World Perspectives And Practices: Volume I - Competition-ready Mathematics
The two volumes of Engaging Young Students in Mathematics through Competitions present a wide scope of aspects relating to mathematics competitions and their meaning in the world of mathematical research, teaching and entertainment.Volume I contains a wide variety of fascinating mathematical problems of the type often presented at mathematics competitions as well as papers by an international group of authors involved in problem development, in which we can get a sense of how such problems are created in various specialized areas of competition mathematics as well as recreational mathematics.It will be of special interest to anyone interested in solving original mathematics problems themselves for enjoyment to improve their skills. It will also be of special interest to anyone involved in the area of problem development for competitions, or just for recreational purposes.The various chapters were written by the participants of the 8th Congress of the World Federation of National Mathematics Competitions in Austria in 2018.
Creative Secondary School Mathematics: 125 Enrichment Units For Grades 7 To 12
There are many topics within the scope of the secondary school mathematics curriculum that are clearly of a motivational sort, and because of lack of time they are usually not included in the teaching process. This book provides the teacher 125 individual units — ranging from grades 7 through 12 — that can be used to enhance the mathematics curriculum. Each unit presents a preassessment, instructional objectives, and a detailed description of the topic as well as teaching suggestions. Each unit has a post-assessment. This is the sort of instructional intervention that can make students love mathematics!
Mathematik und mathematisches Denken – Ansprüche und Anforderungen vor, in und nach der Schule
Mathematik ist überall. Mathematik ist für alle. Aufgrund ihres hohen Rangs in der Wissensgesellschaft ist Mathematik ein unverzichtbarer Bestandteil einer allgemeinen Bildung, was für die Schule bedeutet, den Wert eines an den Strukturen und Wesenszügen von Mathematik orientierten Denkens für alle zur Geltung zu bringen. In bildungstheoretischer Sicht stellen Mathematik und mathematisches Denken einen spezifischen, unersetzbaren Modus der Welterschließung dar, der für die kognitive Entwicklung von fundamentaler Bedeutung ist. Mathematisches Denken ist daher in Vorschul- und Schulzeit kontinuierlich und systematisch zu fördern. Was das Nicht-Substituierbare des durch mathematisches D...
