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mathematics education --- mathematics teaching --- mathematics learning --- ethnomathematics --- pedagogy --- Mathematics --- Study and teaching --- Education --- Instruction and study
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Living at the beginning of the 21st century requires being numerate, because numerical abilities not only essential for life prospects of individuals but also for economic interests of post-industrial knowledge societies. Thus, numerical development is at the core of both individual as well as societal interests. There is the notion that we are already born with a very basic ability to deal with small numerosities. Yet, this often called “number sense” seems to be very restricted, approximate, and driven by perceptual constraints. During our numerical development in formal (e.g., school) but also informal contexts (e.g., family, street) we acquire culturally developed abstract symbol systems to represent exact numerosities – in particular number words and Arabic digits – refining our numerical capabilities. In recent years, numerical development has gained increasing research interest documented in a growing number of behavioural, neuro-scientific, educational, cross-cultural, and neuropsychological studies addressing this issue. Additionally, our understanding of how numerical competencies develop has also benefitted considerably from the advent of different neuro-imaging techniques allowing for an evaluation of developmental changes in the human brain. In sum, we are now starting to put together a more and more coherent picture of how numerical competencies develop and how this development is associated with neural changes as well. In the end, this knowledge might also lead to a better understanding of the reasons for atypical numerical development which often has grieve consequences for those who suffer from developmental dyscalculia. Therefore, this Research Topic deals with all aspects of numerical development: findings from behavioural performance to underlying neural substrates, from cross-sectional to longitudinal evaluations, from healthy to clinical populations. To this end, we encourage empirical contributions using different experimental methodologies but also welcome theoretical contributions, review articles, or opinion papers. We hope that in this Research Topic the expertise of researchers from different backgrounds will be brought together to advance a topic with both scientific and every-day relevance.
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Mathematics --- Study and teaching --- Education --- Instruction and study --- research in mathematics education --- mathematics teaching practices --- mathematics learning experiences --- mathematics teacher education --- research on innovative teaching methods --- research on teaching-learning process
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The book presents developmental outcomes from an EU Erasmus+ project involving eight partner universities in seven countries in Europe. Its focus is the development of mathematics teaching and learning at university level to enhance the learning of mathematics by university students. Its theoretical focus is inquiry-based teaching and learning. It bases all activity on a three-layer model of inquiry: (1) Inquiry in mathematics and in the learning of mathematics in lecture, tutorial, seminar or workshop, involving students and teachers; (2) Inquiry in mathematics teaching involving teachers exploring and developing their own practices in teaching mathematics; (3) Inquiry as a research process, analysing data from layers (1) and (2) to advance knowledge inthe field. As required by the Erasmus+ programme, it defines Intellectual Outputs (IOs) that will develop in the project. PLATINUM has six IOs: The Inquiry-based developmental model; Inquiry communities in mathematics learning and teaching; Design of mathematics tasks and teaching units; Inquiry-based professional development activity; Modelling as an inquiry process; Evalutation of inquiry activity with students. The project has developed Inquiry Communities, in each of the partner groups, in which mathematicians and educators work together in supportive collegial ways to promote inquiry processes in mathematics learning and teaching. Through involving students in inquiry activities, PLATINUM aims to encourage students` own in-depth engagement with mathematics, so that they develop conceptual understandings which go beyond memorisation and the use of procedures. Indeed the eight partners together have formed an inquiry community, working together to achieve PLATINUM goals within the specific environments of their own institutions and cultures. Together we learn from what we are able to achieve with respect to both common goals and diverse environments, bringing a richness of experience and learning to this important area of education. Inquiry communities enable participants to address the tensions and issues that emerge in developmental processes and to recognise the critical nature of the developmental process. Through engaging in inquiry-based development, partners are enabled and motivated to design activities for their peers, and for newcomers to university teaching of mathematics, to encourage their participation in new forms of teaching, design of teaching, and activities for students. Such professional development design is an important outcome of PLATINUM. One important area of inquiry-based activity is that of “modelling” in mathematics. Partners have worked together across the project to investigate the nature of modelling activities and their use with students. Overall, the project evaluates its activity in these various parts to gain insights to the sucess of inquiry based teaching, learning and development as well as the issues and tensions that are faced in putting into practice its aims and goals.
Mathematics --- Educational: Mathematics & numeracy --- students, development of teaching, mathematics learning, university mathematics, inquiry-based teaching, inquiry, intellectual outcomes --- Logic --- Higher Education --- Educational Psychology --- Individual Psychology --- Personality Psychology --- Behaviorism --- Methodology and research technology --- Pedagogy
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Mathematics --- Internet resources. --- Electronic journals. --- Study and teaching --- Study and teaching. --- Spain. --- Math --- Espanja --- Spanien --- Hiszpania --- Spanish State --- España --- Estado Español --- Espagne --- Hispania --- Sefarad --- Sepharad --- Shpanye --- Shpanie --- Reino de España --- Kingdom of Spain --- Mathematics Teaching --- Mathematics Learning --- Mathematics Education --- Science --- Espainiako Erresuma --- Espanha --- Espanya --- Isupania --- Regne d'Espanya --- Reiaume d'Espanha --- Reino d'Espanya --- Reinu d'España --- Supein --- Teaching --- Instruction and study --- Mathematics Teaching & Research --- Education --- mathematics teaching --- mathematics learning --- mathematics education --- Mathématiques --- Étude et enseignement
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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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In recent years, the methodologies of teaching have been in a process of transition. Multiple active methodologies have proliferated, with the aim of changing the concept we have had of teaching so far. These advocate for a student who plays a leading role in the process of building learning, while the teacher acts as a figure who facilitates and glimpses the paths to learning. In order to be able to carry out this type of teaching in an optimal way, it is necessary for the teaching and research community to be correctly trained in its pedagogical principles and in the tools that boost its implementation. Among these principles and tools, it is of vital importance that information and communication technologies (ICT) be adequately handled. The use of active methodologies (project-based learning, problem-based learning, service learning, flipped classroom, mobile learning, etc.) or innovative pedagogical approaches (simulation, role-playing, gamification, etc.) promotes an improvement in the motivation of students as well as their skills. This aspect is especially important in the area of mathematics, whose contents are characterized by their abstraction, thus highlighting the need for its dynamization in classrooms of different educational stages.
Research & information: general --- emerging methodology --- educational innovation --- e-learning --- educational experimentation --- adults --- students --- b-learning --- ICT --- vocational training --- constructivism --- mathematics learning --- MOOC --- new teaching techniques --- students’ access to MOOC --- learning --- reading comprehension --- complexity --- problem-solving --- arithmetic word problems --- fraction operator --- technological environment --- active methodology --- escape room --- gamification --- methodological contrast --- mathematics --- secondary education --- musical activities --- learning-teaching --- preschool --- mathematical modeling --- modeling projects --- elementary school --- learning opportunities --- computational thinking --- STEAM education --- leisure-time education --- mathematical education --- good practices in mathematics education --- mathematics achievement --- influencing factors --- university --- social sciences --- structural equation modelling (SEM) --- Flipped Classroom --- flipped learning --- higher education --- educational robotics --- active learning --- case studies --- videogame --- early childhood education --- education --- learning environments --- educational games --- engineering students --- augmented reality --- spatial intelligence --- STEM --- Geogebra AR --- teaching differential equations --- teaching mathematics --- solving problem --- formative assessment --- teacher education --- teachers’ knowledge --- game-based learning --- affective domain --- mathematics education --- systematic review --- EXPLORIA --- STEAM --- active methodologies --- university level --- afective domain --- mathematical teaching methodologies --- educative innovation --- learning through video games --- real-valued functions
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In recent years, the methodologies of teaching have been in a process of transition. Multiple active methodologies have proliferated, with the aim of changing the concept we have had of teaching so far. These advocate for a student who plays a leading role in the process of building learning, while the teacher acts as a figure who facilitates and glimpses the paths to learning. In order to be able to carry out this type of teaching in an optimal way, it is necessary for the teaching and research community to be correctly trained in its pedagogical principles and in the tools that boost its implementation. Among these principles and tools, it is of vital importance that information and communication technologies (ICT) be adequately handled. The use of active methodologies (project-based learning, problem-based learning, service learning, flipped classroom, mobile learning, etc.) or innovative pedagogical approaches (simulation, role-playing, gamification, etc.) promotes an improvement in the motivation of students as well as their skills. This aspect is especially important in the area of mathematics, whose contents are characterized by their abstraction, thus highlighting the need for its dynamization in classrooms of different educational stages.
emerging methodology --- educational innovation --- e-learning --- educational experimentation --- adults --- students --- b-learning --- ICT --- vocational training --- constructivism --- mathematics learning --- MOOC --- new teaching techniques --- students’ access to MOOC --- learning --- reading comprehension --- complexity --- problem-solving --- arithmetic word problems --- fraction operator --- technological environment --- active methodology --- escape room --- gamification --- methodological contrast --- mathematics --- secondary education --- musical activities --- learning-teaching --- preschool --- mathematical modeling --- modeling projects --- elementary school --- learning opportunities --- computational thinking --- STEAM education --- leisure-time education --- mathematical education --- good practices in mathematics education --- mathematics achievement --- influencing factors --- university --- social sciences --- structural equation modelling (SEM) --- Flipped Classroom --- flipped learning --- higher education --- educational robotics --- active learning --- case studies --- videogame --- early childhood education --- education --- learning environments --- educational games --- engineering students --- augmented reality --- spatial intelligence --- STEM --- Geogebra AR --- teaching differential equations --- teaching mathematics --- solving problem --- formative assessment --- teacher education --- teachers’ knowledge --- game-based learning --- affective domain --- mathematics education --- systematic review --- EXPLORIA --- STEAM --- active methodologies --- university level --- afective domain --- mathematical teaching methodologies --- educative innovation --- learning through video games --- real-valued functions
Choose an application
In recent years, the methodologies of teaching have been in a process of transition. Multiple active methodologies have proliferated, with the aim of changing the concept we have had of teaching so far. These advocate for a student who plays a leading role in the process of building learning, while the teacher acts as a figure who facilitates and glimpses the paths to learning. In order to be able to carry out this type of teaching in an optimal way, it is necessary for the teaching and research community to be correctly trained in its pedagogical principles and in the tools that boost its implementation. Among these principles and tools, it is of vital importance that information and communication technologies (ICT) be adequately handled. The use of active methodologies (project-based learning, problem-based learning, service learning, flipped classroom, mobile learning, etc.) or innovative pedagogical approaches (simulation, role-playing, gamification, etc.) promotes an improvement in the motivation of students as well as their skills. This aspect is especially important in the area of mathematics, whose contents are characterized by their abstraction, thus highlighting the need for its dynamization in classrooms of different educational stages.
Research & information: general --- emerging methodology --- educational innovation --- e-learning --- educational experimentation --- adults --- students --- b-learning --- ICT --- vocational training --- constructivism --- mathematics learning --- MOOC --- new teaching techniques --- students’ access to MOOC --- learning --- reading comprehension --- complexity --- problem-solving --- arithmetic word problems --- fraction operator --- technological environment --- active methodology --- escape room --- gamification --- methodological contrast --- mathematics --- secondary education --- musical activities --- learning-teaching --- preschool --- mathematical modeling --- modeling projects --- elementary school --- learning opportunities --- computational thinking --- STEAM education --- leisure-time education --- mathematical education --- good practices in mathematics education --- mathematics achievement --- influencing factors --- university --- social sciences --- structural equation modelling (SEM) --- Flipped Classroom --- flipped learning --- higher education --- educational robotics --- active learning --- case studies --- videogame --- early childhood education --- education --- learning environments --- educational games --- engineering students --- augmented reality --- spatial intelligence --- STEM --- Geogebra AR --- teaching differential equations --- teaching mathematics --- solving problem --- formative assessment --- teacher education --- teachers’ knowledge --- game-based learning --- affective domain --- mathematics education --- systematic review --- EXPLORIA --- STEAM --- active methodologies --- university level --- afective domain --- mathematical teaching methodologies --- educative innovation --- learning through video games --- real-valued functions --- emerging methodology --- educational innovation --- e-learning --- educational experimentation --- adults --- students --- b-learning --- ICT --- vocational training --- constructivism --- mathematics learning --- MOOC --- new teaching techniques --- students’ access to MOOC --- learning --- reading comprehension --- complexity --- problem-solving --- arithmetic word problems --- fraction operator --- technological environment --- active methodology --- escape room --- gamification --- methodological contrast --- mathematics --- secondary education --- musical activities --- learning-teaching --- preschool --- mathematical modeling --- modeling projects --- elementary school --- learning opportunities --- computational thinking --- STEAM education --- leisure-time education --- mathematical education --- good practices in mathematics education --- mathematics achievement --- influencing factors --- university --- social sciences --- structural equation modelling (SEM) --- Flipped Classroom --- flipped learning --- higher education --- educational robotics --- active learning --- case studies --- videogame --- early childhood education --- education --- learning environments --- educational games --- engineering students --- augmented reality --- spatial intelligence --- STEM --- Geogebra AR --- teaching differential equations --- teaching mathematics --- solving problem --- formative assessment --- teacher education --- teachers’ knowledge --- game-based learning --- affective domain --- mathematics education --- systematic review --- EXPLORIA --- STEAM --- active methodologies --- university level --- afective domain --- mathematical teaching methodologies --- educative innovation --- learning through video games --- real-valued functions
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