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International Perspectives on Teaching and Learning Mathematics with Virtual Manipulatives
This book explores terminology, frameworks, and research being conducted worldwide on virtual manipulatives. It brings together international authors who provide their perspectives on virtual manipulatives in research and teaching. By defining terminology, explaining conceptual and theoretical frameworks, and reporting research, the authors provide a comprehensive foundation on the study and use of virtual manipulatives for mathematics teaching and learning. This foundation provides a common way for researchers to communicate about virtual manipulatives and build on the major works that have been conducted on this topic. By discussing these big ideas, the book advances knowledge for future research on virtual manipulatives as these dynamic tools move from computer platforms to hand-held, touch-screen, and augmented platforms.
Mathematics Education in the Early Years
This book presents chapters based on papers presented at the second POEM conference on early mathematics learning. These chapters broaden the discussion about mathematics education in early childhood, by exploring the debate about construction versus instruction. Specific sections investigate the teaching and learning of mathematical processes and mathematical content, early childhood teacher development, transitions for young children between home and preschool, between home and school and between preschool and school. The chapters use a range of innovative theoretical and methodological approaches which will form an interesting basis for future research in this area.
Building the Foundation: Whole Numbers in the Primary Grades
This twenty-third ICMI Study addresses for the first time mathematics teaching and learning in the primary school (and pre-school) setting, while also taking international perspectives, socio-cultural diversity and institutional constraints into account. One of the main challenges of designing the first ICMI primary school study of this kind is the complex nature of mathematics at the early level. Accordingly, a focus area that is central to the discussion was chosen, together with a number of related questions. The broad area of Whole Number Arithmetic (WNA), including operations and relations and arithmetic word problems, forms the core content of all primary mathematics curricula. The stu...
Early Mathematics Learning
This book will gather current research in early childhood mathematics education. A special focus will be the tension between instruction and construction of knowledge. The book includes research on the design of learning opportunities, the development of mathematical thinking, the impact of the social setting and the professionalization of nursery teachers.
Uses of Technology in Primary and Secondary Mathematics Education
This book provides international perspectives on the use of digital technologies in primary, lower secondary and upper secondary school mathematics. It gathers contributions by the members of three topic study groups from the 13th International Congress on Mathematical Education and covers a range of themes that will appeal to researchers and practitioners alike. The chapters include studies on technologies such as virtual manipulatives, apps, custom-built assessment tools, dynamic geometry, computer algebra systems and communication tools. Chiefly focusing on teaching and learning mathematics, the book also includes two chapters that address the evidence for technologies’ effects on school mathematics. The diverse technologies considered provide a broad overview of the potential that digital solutions hold in connection with teaching and learning. The chapters provide both a snapshot of the status quo of technologies in school mathematics, and outline how they might impact school mathematics ten to twenty years from now.
Proceedings of the 13th International Congress on Mathematical Education
This book is open access under a CC BY 4.0 license. 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...
Die Cloud für Schulen in Deutschland
Die digitale Entwicklung durchdringt unser Bildungssystem, doch Schulen sind auf die Veränderungen kaum vorbereitet: Überforderte Lehrer/innen, infrastrukturell schwach ausgestattete Unterrichtsräume und unzureichend gewartete Computernetzwerke sind keine Seltenheit. Veraltete Hard- und Software erschweren digitale Bildung in Schulen eher, als dass sie diese ermöglichen: Ein zukunftssicherer Ansatz ist es, die Rechner weitgehend aus den Schulen zu entfernen und Bildungsinhalte in eine Cloud zu überführen. Zeitgemäßer Unterricht benötigt moderne Technologie und eine zukunftsorientierte Infrastruktur. Eine Schul-Cloud (https://hpi.de/schul-cloud) kann dabei helfen, die digitale Transf...
Gehörte Geschichten
Auditive Texte haben Konjunktur: Hörspiele, Lesungen, Podcasts, Audioguides und elektroakustische Experimente zeigen die Vielfalt gehörter Geschichten. Die Beiträge systematisieren die unterschiedlichen Gegenstände hinsichtlich der Genrefrage oder modellieren theoretisch-methodische Zugänge, die in konkreten Analysen medienspezifisch exemplifiziert werden. Semiotische Zugänge stehen dabei neben kulturwissenschaftlichen und didaktischen Perspektiven. Hinweis zu Tr. 1 bis Tr. 12 der Audiodateien: "Die drei ???" ist eine Marke der Franckh-Kosmos Verlags GmbH & Co.KG. Mit freundlicher Genehmigung der SONY MUSIC Entertainment Germany GmbH.
Auf- und Ausbau multiplikativen Denkens mit der Applikation TouchTimes
Multiplikatives Denken ist die Grundlage für erfolgreiches Lernen mathematischer Inhalte wie beispielsweise Proportionen, Brüche und Dezimalzahlen und sollte bereits in der Primarstufe auf- und ausgebaut werden. Die Autorin zeigt durch eine fachdidaktische Begründung auf, wie und warum die Applikation TouchTimes (Jackiw & Sinclair, 2019) als geeignetes Artefakt zur Erarbeitung des Lerngegenstandes multiplikatives Denken dient. Vor dem Hintergrund der heterogenen Schülerschaft werden in dieser fachdidaktischen Entwicklungsforschung zum einen die Entwicklung eines Lehr-Lern-Arrangements und zum anderen die Forschungsergebnisse hinsichtlich multiplikativen Denkens von Drittklässlerinnen und Drittklässler fokussiert.
