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  • thema EDItEUR::Y Children’s, Teenage and Educational::YP Educational material::YPM Educational: Mathematics, science and technology, general::YPMF Educational: Mathematics and numeracy  (5)
  • Masaryk University  (5)
  • Ondrejov : Stredisko vedeckych informaci AsU CSAV
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  • 1
    Publication Date: 2024-04-14
    Description: Title in English: Developing mathematical literacy using an innovative module for the systematic development of accelerated pupils in grades 1 to 3: Methodical text for teachers The methodological text is an output of the three-year project “Research-validated innovative model of identification and development of mathematically gifted primary school pupils (VOIM)“. The modernly designed development materials are designate primarily for pupils of the first grade who like to think, explore, discover new knowledge (not only) in the field of mathematics. 60 worksheets in three levels of difficulty for 20 mathematical topics are accompanied by a set of videos. The worksheets enable differentiated individual work of pupils. The tasks lead to the development of their abstract and exact thinking, critical reasoning and argumentation. The tasks are based on current curriculum documents but go beyond the educational content in some places. The difficulty of the tasks on each worksheet grades from the least difficult to the most difficult, usually from the extension curriculum.
    Keywords: mathematical literacy ; mathematically gifted pupils ; video lessons ; worksheets ; graded problems ; thema EDItEUR::Y Children’s, Teenage and Educational::YP Educational material::YPM Educational: Mathematics, science and technology, general::YPMF Educational: Mathematics and numeracy
    Language: Czech
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  • 2
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    Masaryk University Press | Masaryk University
    Publication Date: 2024-04-14
    Description: Title in English: Education of Pupils with Learning Disabilities – Mathematics. Education of pupils with learning disabilities has been in the centre of attention of teachers, parents as well as the general public. When solving our project we verified several ways of teaching mathematics at an ordinary primary school, which might help included pupils to handle some of their problems with this subject. Key activities had been prepared in order to introduce new approaches to teaching pupils with learning disorders in heterogeneous classes, with respect to development and strengthening of pupils' competences. Our project gave a positive outcome in changing attitudes of the included pupils to mathematics and improvement of their results. Also, the structured way of teaching mathematics helped most pupils in the class.
    Keywords: didactis of mathematics ; specific educational need ; learning disorders ; dyscalculia ; inclusion ; thema EDItEUR::Y Children’s, Teenage and Educational::YP Educational material::YPM Educational: Mathematics, science and technology, general::YPMF Educational: Mathematics and numeracy
    Language: Czech
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  • 3
    Publication Date: 2024-04-04
    Description: 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.
    Keywords: students, development of teaching, mathematics learning, university mathematics, inquiry-based teaching, inquiry, intellectual outcomes ; thema EDItEUR::P Mathematics and Science::PB Mathematics ; thema EDItEUR::Y Children’s, Teenage and Educational::YP Educational material::YPM Educational: Mathematics, science and technology, general::YPMF Educational: Mathematics and numeracy
    Language: English
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  • 4
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    Masaryk University Press | Masaryk University
    Publication Date: 2024-04-14
    Description: Title in English: Smooth and F-smooth systems with applications to Covariant Quantum Mechanics We review the geometric theory of smooth systems of smooth maps, of smooth systems of smooth sections of a smooth double fibred manifold and of smooth systems of smooth connections of a smooth fibred manifold. Moreover, after reviewing the concept of F-smooth space due to A. Froelicher, we discuss the F-smooth systems of smooth maps, the F-smooth systems of fibrewisely smooth sections of a smooth double fibred manifold, the F-smooth systems of fibrewisely smooth connections of a smooth fibred manifold and of F-smooth connections of an F-smooth system of fibrewisely smooth sections. Further, we discuss three applications of the general geometric theory, which are taken in the framework of Covariant Quantum Mechanics. Namely, we discuss the smooth upper quantum connection, the F-smooth sectional quantum bundle and the Schroedinger operator regarded as an F-smooth connection of the F-smoth sectional quantum bundle.
    Keywords: Systems of maps ; systems of sections ; systems of connections ; universal connection ; F-smooth spaces ; F-smooth space of maps ; F-smooth space of sections ; F-smooth space of connections ; F-smooth connections ; Covariant Quantum Mechanics ; quantum bundle ; thema EDItEUR::Y Children’s, Teenage and Educational::YP Educational material::YPM Educational: Mathematics, science and technology, general::YPMF Educational: Mathematics and numeracy ; thema EDItEUR::P Mathematics and Science::PB Mathematics
    Language: English
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  • 5
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    Masaryk University Press | Masaryk University
    Publication Date: 2024-04-14
    Description: Title in English: Didactics of mathematics with a focus on specific learning disorders Problems of specific learning difficulties is the centre of interest of teachers, especially the point of view of inclusive education of pupils. Problems of specific learning difficulties is at the centre of interest of teachers, especially, from the point of view of inclusive education of pupils. In the article, there is a classification of difficulties, causes of difficulties in mathematics, analysis of particular elements phenomen of mathematics in primary school. The article is aimed at problems of children in the area of natural numbers, decimals, whole numbers and fractions.
    Keywords: didactics of mathematics ; education of mathematics ; specific learning difficulties ; dyscalculia ; natural numbers ; rational numbers ; geometry ; communication in mathematic ; reeducation for dyscalculia ; individual education program ; thema EDItEUR::Y Children’s, Teenage and Educational::YP Educational material::YPM Educational: Mathematics, science and technology, general::YPMF Educational: Mathematics and numeracy
    Language: Czech
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