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mathematical education --- technological education --- teacher training
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mathematical education --- teacher's education --- learning --- Mathematics --- Study and teaching --- Study and teaching. --- Education --- Instruction and study
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Number concept --- Mathematical ability --- Cognitive psychology --- Mathematics --- Cognitive psychology. --- Mathematical ability. --- Number concept. --- Psychological aspects --- Psychological aspects. --- numerical cognition --- psychology --- spatial reasoning --- psychology of mathematics --- mathematical education
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Im Rahmen der Schriftenreihe "Wissenschaftliche Untersuchungen zur Arbeit der Stiftung ,Haus der kleinen Forscher'" werden regelmäßig wissenschaftliche Beiträge von renommierten Expertinnen und Experten aus dem Bereich der frühen Bildung veröffentlicht. Diese Schriftenreihe dient einem fachlichen Dialog zwischen Stiftung, Wissenschaft und Praxis, mit dem Ziel, allen Kitas, Horten und Grundschulen in Deutschland fundierte Unterstützung für ihren frühkindlichen Bildungsauftrag zu geben. Der vorliegende achte Band der Reihe mit einem Geleitwort von Kristina Reiss stellt die Ziele und Gelingensbedingungen mathematischer Bildung im Elementarund Primarbereich in den Fokus. Christiane Benz, Meike Grüßing, Jens Holger Lorenz, Christoph Selter und Bernd Wollring spezifizieren in ihrer Expertise pädagogisch-inhaltliche Zieldimensionen mathematischer Bildung im Kita- und Grundschulalter. Neben einer theoretischen Fundierung verschiedener Zielbereiche werden Instrumente für deren Messung aufgeführt. Des Weiteren erörtern die Autorinnen und Autoren Gelingensbedingungen für eine effektive und wirkungsvolle frühe mathematische Bildung in der Praxis. Sie geben zudem Empfehlungen für die Weiterentwicklung der Stiftungsangebote und die wissenschaftliche Begleitung der Stiftungsarbeit im Bereich Mathematik. Das Schlusskapitel des Bandes beschreibt die Umsetzung dieser fachlichen Empfehlungen in den inhaltlichen Angeboten der Stiftung "Haus der kleinen Forscher". Within the framework of the publication series "Wissenschaftliche Untersuchungen zur Arbeit der Stiftung 'Haus der kleinen Forscher'", scientific contributions from renowned experts in the field of early education are regularly published. This series of publications serves a professional dialogue between the Foundation, science and practice, with the aim of providing all day-care centres, after-schools and primary schools in Germany with well-founded support for their early childhood educational mission. This eighth volume of the series, with a foreword by Kristina Reiss, focuses on the goals and conditions for successful mathematical education in elementary and primary schools. Christiane Benz, Meike Grüßing, Jens Holger Lorenz, Christoph Selter and Bernd Wollring specify in their expertise the pedagogical and content-related target dimensions of mathematical education in nursery and primary school age. In addition to a theoretical foundation of various target areas, instruments for their measurement are listed. Furthermore, the authors discuss conditions for effective and effective early mathematical education in practice. They also give recommendations for the further development of the Foundation's services and the scientific support of the Foundation's work in the field of mathematics. The final chapter of the volume describes the implementation of these professional recommendations in the content of the "Haus der kleinen Forscher" foundation. Mit seiner konsequenten Verzahnung von kindlichenKompetenzen mit Kompetenzen der prof'essionelien Lehrperson leistet das Buch einenausgesprochen wertvollen Beitrag für die Aus- und Weiterbildung von Lehrpersonen. Beiträge zur Lehrerinnenbildung- und Lehrerbildung 37/2019
Mathematics --- Study and teaching. --- early education --- Elementar- und Primarbereich --- elementary and primary education --- frühe Bildung --- Mathematical education --- Mathematische Bildung --- MINT education --- MINT-Bildung --- professionalisation --- Professionalisierung --- frühe Bildung
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education --- teaching --- science education --- mathematical education --- Teaching --- Mathematics --- Science --- Teaching. --- Study and teaching --- Study and teaching. --- Science education --- Scientific education --- Didactics --- Instruction --- Pedagogy --- School teaching --- Schoolteaching --- Education --- Instructional systems --- Pedagogical content knowledge --- Training --- Instruction and study
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Places Ellis at the heart of early-Victorian Cambridge with in-depth descriptions on his scientific work and tragic life Provides a unique glimpse into Victorian intellectual culture, based on previously unpublished archival materials This open access book brings together for the first time all aspects of the tragic life and fascinating work of the polymath Robert Leslie Ellis (1817–1859), placing him at the heart of early-Victorian intellectual culture. Written by a diverse team of experts, the chapters in the book’s first part contain in-depth examinations of, among other things, Ellis’s family, education, Bacon scholarship and mathematical contributions. The second part consists of annotated transcriptions of a selection of Ellis’s diaries and correspondence. Taken together, A Prodigy of Universal Genius: Robert Leslie Ellis, 1817–1859 is a rich resource for historians of science, historians of mathematics and Victorian scholars alike. Robert Leslie Ellis was one of the most intriguing and wide-ranging intellectual figures of early Victorian Britain, his contributions ranging from advanced mathematical analysis to profound commentaries on philosophy and classics and a decisive role in the orientation of mid-nineteenth century scholarship. This very welcome collection offers both new and authoritative commentaries on the work, setting it in the context of the mathematical, philosophical and cultural milieux of the period, together with fascinating passages from the wealth of unpublished papers Ellis composed during his brief and brilliant career. - Simon Schaffer, Department of History and Philosophy of Science, University of Cambridge
History of Western philosophy --- History of science --- Interdisciplinary studies --- History of mathematics --- Cultural studies --- Robert Leslie Ellis --- the Cambridge network --- mathematical education --- William Whewell --- history of science in Britain --- the history of ideas --- early-Victorian Cambridge --- history of mathematical sciences --- Victorian intellectual culture --- life of Robert Leslie Ellis
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"An interdisciplinary history of trigonometry from the mid-sixteenth century through to the early twentieth century. The Doctrine of Triangles offers an interdisciplinary history of trigonometry that spans four centuries, starting in 1550 and concluding in the 1900s. Glen Van Brummelen tells the story of trigonometry as it evolved from an instrument for understanding the heavens to a practical tool, used in fields such as surveying and navigation. In Europe, China, and America, trigonometry aided and was itself transformed by concurrent mathematical revolutions, as well as the rise of science and technology. Following its uses in mid-sixteenth-century Europe as the "foot of the ladder to the stars" and the mathematical helpmate of astronomy, trigonometry became a ubiquitous tool for modeling various phenomena, including animal populations and sound waves. In the late sixteenth century, trigonometry increasingly entered the physical world through the practical disciplines, and its societal reach expanded with the invention of logarithms. Calculus shifted mathematical reasoning from geometric to algebraic patterns of thought, and trigonometry's participation in this new mathematical analysis grew, encouraging such innovations as complex numbers and non-Euclidean geometry. Meanwhile in China, trigonometry was evolving rapidly too, sometimes merging with indigenous forms of knowledge, and with Western discoveries. In the nineteenth century, trigonometry became even more integral to science and industry as a fundamental part of the science and engineering toolbox, and a staple subject in high school classrooms" --
Trigonometry --- Anton von Braunmühl. --- CORDIC. --- Chinese mathematicians. --- Chinese trigonometry. --- Eli Maor. --- Erasmus Reinhold. --- Euler. --- Fourier series. --- Hipparchus. --- Jesuit mathematicians. --- Jesuits. --- Regiomontanus. --- Rheticus. --- Srinivasa Ramanujan. --- Thomas Fincke. --- Trigonometric Delights. --- differential equations. --- gradians. --- haversines. --- history of mathematics. --- history of science. --- hyperbolic trigonometry. --- law of tangents. --- math pedagogy. --- mathematical analysis. --- mathematical education. --- oscillatory phenomena. --- plane astronomy. --- radians. --- spherical astronomy. --- versines. --- History.
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This book is Open Access under a CC BY 4.0 license. The book presents the Invited Lectures given at 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 – the biggest ICME so far - brought together about 3500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. The scholars came together to share their work on the improvement of mathematics education at all educational levels.. The papers present the work of prominent mathematics educators from all over the globe and give insight into the current discussion in mathematics education. The Invited Lectures cover a wide spectrum of topics, themes and issues and aim to give direction to future research towards educational improvement in the teaching and learning of mathematics education. This book is of particular interest to researchers, teachers and curriculum developers in mathematics education.
Education. --- Mathematics --- Teaching. --- Mathematics Education. --- Learning & Instruction. --- Teaching and Teacher Education. --- Study and teaching. --- Didactics --- Instruction --- Pedagogy --- School teaching --- Schoolteaching --- Education --- Instructional systems --- Pedagogical content knowledge --- Training --- Children --- Education, Primitive --- Education of children --- Human resource development --- Schooling --- Students --- Youth --- Civilization --- Learning and scholarship --- Mental discipline --- Schools --- Teaching --- Mathematics. --- Math --- Science --- Mathematics—Study and teaching . --- Learning. --- Instruction. --- Learning process --- Comprehension --- Tertiary Mathematics Education --- Mathematics Teaching --- 13th Congress on Mathematical Education --- Mathematics Educators --- Primary Mathematics Education --- ICME-13 --- Theoretical Reflections on Mathematics Education --- Mathematics Learning --- Mathematics Teachers --- Global Mathematics Trends --- Society of Didactics of Mathematics --- Mathematics Education --- Empirical Studies in Mathematics Education --- Secondary Mathematics Education --- Improvement of Mathematics Education
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Mathematics in Ancient Egypt traces the development of Egyptian mathematics, from the end of the fourth millennium BC-and the earliest hints of writing and number notation-to the end of the pharaonic period in Greco-Roman times. Drawing from mathematical texts, architectural drawings, administrative documents, and other sources, Annette Imhausen surveys three thousand years of Egyptian history to present an integrated picture of theoretical mathematics in relation to the daily practices of Egyptian life and social structures.Imhausen shows that from the earliest beginnings, pharaonic civilization used numerical techniques to efficiently control and use their material resources and labor. Even during the Old Kingdom, a variety of metrological systems had already been devised. By the Middle Kingdom, procedures had been established to teach mathematical techniques to scribes in order to make them proficient administrators for their king. Imhausen looks at counterparts to the notation of zero, suggests an explanation for the evolution of unit fractions, and analyzes concepts of arithmetic techniques. She draws connections and comparisons to Mesopotamian mathematics, examines which individuals in Egyptian society held mathematical knowledge, and considers which scribes were trained in mathematical ideas and why.Of interest to historians of mathematics, mathematicians, Egyptologists, and all those curious about Egyptian culture, Mathematics in Ancient Egypt sheds new light on a civilization's unique mathematical evolution.
Mathematics, Egyptian. --- Mathematics --- Math --- History. --- Science --- Abusir papyri. --- Egyptian history. --- Egyptian mathematics. --- Egyptian number system. --- Fifth Dynasty. --- Greco-Roman Period. --- Harris I. --- King Scorpion. --- Late Egyptian Miscellanies. --- Maat. --- Mesopotamia. --- Middle Kingdom. --- New Kingdom. --- Old Kingdom. --- Papyrus Anastasi I. --- Papyrus Harris I. --- Papyrus Wilbour. --- Senmut 153. --- Turin 57170. --- Wilbour Papyrus. --- administration. --- ancient Egypt. --- ancient mathematics. --- architectural calculations. --- area units. --- arithmetic techniques. --- arithmetic. --- capacity units. --- cultural environment. --- daily life. --- decimal system. --- demotic mathematical texts. --- experts. --- fractions. --- funerary context. --- hieratic mathematical texts. --- historiography. --- inverse. --- king. --- land measurement. --- length units. --- literary texts. --- mathematical education. --- mathematical problems. --- mathematical procedure texts. --- mathematical techniques. --- mathematical texts. --- metrological tables. --- metrology. --- number notation. --- number system. --- numbers. --- ostraca. --- pharaonic history. --- place-value. --- rations. --- scribal culture. --- scribes. --- tomb U-j. --- unit fractions. --- weights. --- writing. --- zero.
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mathematical education --- Mathematics --- Study and teaching --- Study and teaching. --- Brazil. --- Math --- Science --- Education --- Instruction and study --- al-Barāzīl --- Barāzīl --- Brasil --- Brasile --- Brasilia --- Brasili --- Brasilien --- Brazili --- Brazili Federativlă Respubliki --- Brazilia --- Brazilii͡ --- Brazilii͡a Federativ Respublikaḣy --- Braziliya --- Braziliya Federativ Respublikası --- Brazilská federativní republika --- Brazylia --- Brésil --- Burajiru --- Federale Republiek van Brasili --- Federative Republic of Brazil --- Federativna republika Brazil --- Federativna republika Brazilii͡ --- Federat͡siėm Respublikė Brazil --- Fedėratyŭnai͡a Rėspublika Brazilii͡ --- Gweriniaeth Ffederal Brasil --- Pa-hsi --- Pa-se --- Pa-se Liân-pang Kiōng-hô-kok --- Pederatibong Republika sa Brasil --- Pindorama --- República Federal del Brasil --- Republica Federale di u Brasile --- Republica Federativa del Brazil --- República Federativa do Brasil --- Rèpublica fèdèrativa du Brèsil --- Republik Kevreel Brazil --- République fédérative du Brésil --- Tantasqa Republika Wrasil --- Tetã Pindorama --- Wrasil
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