Problem Posing And Solving For Mathematically Gifted And Interested Students

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Problem Posing And Solving For Mathematically Gifted And Interested Students
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Author : Deniz Sarikaya
language : en
Publisher: Springer Nature
Release Date : 2023-09-29
Problem Posing And Solving For Mathematically Gifted And Interested Students written by Deniz Sarikaya and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-29 with Mathematics categories.
Mathematics and mathematics education research have an ongoing interest in improving our understanding of mathematical problem posing and solving. This book focuses on problem posing in a context of mathematical giftedness. The contributions particularly address where such problems come from, what properties they should have, and which differences between school mathematics and more complex kinds of mathematics exist. These perspectives are examined internationally, allowing for cross-national insights.
Mathematical Problem Posing
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Author : Florence Mihaela Singer
language : en
Publisher: Springer
Release Date : 2015-06-12
Mathematical Problem Posing written by Florence Mihaela Singer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-12 with Education categories.
The mathematics education community continues to contribute research-based ideas for developing and improving problem posing as an inquiry-based instructional strategy for enhancing students’ learning. A large number of studies have been conducted which have covered many research topics and methodological aspects of teaching and learning mathematics through problem posing. The Authors' groundwork has shown that many of these studies predict positive outcomes from implementing problem posing on: student knowledge, problem solving and posing skills, creativity and disposition toward mathematics. This book examines, in-depth, the contribution of a problem posing approach to teaching mathematics and discusses the impact of adopting this approach on the development of theoretical frameworks, teaching practices and research on mathematical problem posing over the last 50 years.
Mathematical Problem Posing
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Author : Lukas Baumanns
language : en
Publisher: Springer Nature
Release Date : 2022-11-19
Mathematical Problem Posing written by Lukas Baumanns and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-19 with Mathematics categories.
Mathematical problem posing as the substantive formulation of mathematical problems is an activity that lies at the heart of mathematics. In recent years, research in mathematics education has endeavored to gain insights into problem posing—conceptually as well as empirically. In problem-posing research, there has been a focus on analyzing products, that is, the posed problems. Insights into the processes that lead to these products, however, have so far been lacking. Within four journal articles, summarized in this cumulative dissertation, the author attempts to contribute to the understanding of problem-posing processes through conceptual considerations and empirical investigations. The conceptual part consists of a conducted systematic literature review to investigate problem-posing situations and problem-posing activities. The studies in the empirical part deal with the analyses of problem-posing processes of pre-service mathematics teachers from a macroscopic and microscopic perspective. The aim is to develop coherent and meaningful conceptual perspectives for analyzing empirical observations of problem-posing processes.
Third Symposium Proceedings New Ways Of Teaching And Learning
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Author : Janina Morska
language : en
Publisher: WTM-Verlag Münster
Release Date :
Third Symposium Proceedings New Ways Of Teaching And Learning written by Janina Morska and has been published by WTM-Verlag Münster this book supported file pdf, txt, epub, kindle and other format this book has been release on with Education categories.
This volume contains the papers presented at the Third International Symposium on New Ways of Teaching & Learning held from August 6-10, 2024, at the Aemilia Hotel, Bologna, Italy. The Conference was organized by The Mathematics Education for the Future Project - an international educational project founded in 1986 and dedicated to innovation in mathematics, statistics, science and computer education world wide.
Research On And Activities For Mathematically Gifted Students
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Author : Florence Mihaela Singer
language : en
Publisher: Springer
Release Date : 2016-06-13
Research On And Activities For Mathematically Gifted Students written by Florence Mihaela Singer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-13 with Education categories.
This open access Topical Survey offers a brief overview of the current state of research on and activities for mathematically gifted students around the world. This is of interest to a broad readership, including educational researchers, research mathematicians, mathematics teachers, teacher educators, curriculum designers, doctoral students, and other stakeholders. It first discusses research concerning the nature of mathematical giftedness, including theoretical frameworks and methodologies that are helpful in identifying and/or creating mathematically gifted students, which is described in this section. It also focuses on research on and the development of mathematical talent and innovation in students, including connections between cognitive, social and affective aspects of mathematically gifted students. Exemplary teaching and learning practices, curricula and a variety of programs that contribute to the development of mathematical talent, gifts, and passion are described as well as the pedagogy and mathematics content suitable for educating pre-service and in-service teachers of mathematically gifted students. The final section provides a brief summary of the paper along with suggestions for the research, activities, and resources that should be available to support mathematically gifted students and their teachers, parents, and other stakeholders.
The Art Of Problem Posing
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Author : Stephen I. Brown
language : en
Publisher: Psychology Press
Release Date : 2005-01-15
The Art Of Problem Posing written by Stephen I. Brown and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-15 with Education categories.
The new edition of this classic book describes and provides a myriad of examples of the relationships between problem posing and problem solving, and explores the educational potential of integrating these two activities in classrooms at all levels. The Art of Problem Posing, Third Edition encourages readers to shift their thinking about problem posing (such as where problems come from, what to do with them, and the like) from the "other" to themselves and offers a broader conception of what can be done with problems. Special features include: an exploration of the logical relationship between problem posing and problem solving; sketches, drawings, and diagrams that illustrate the schemes proposed; and a special section on writing in mathematics. In the updated third edition, the authors specifically: *address the role of problem posing in the NCTM Standards; *elaborate on the concept of student as author and critic; *include discussion of computer applications to illustrate the potential of technology to enhance problem posing in the classroom; *expand the section on diversity/multiculturalism; and *broaden discussion of writing as a classroom enterprise. This book offers present and future teachers at the middle school, secondary school, and higher education levels ideas to enrich their teaching and suggestions for how to incorporate problem posing into a standard mathematics curriculum.
Mathematical Creativity And Mathematical Giftedness
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Author : Florence Mihaela Singer
language : en
Publisher: Springer
Release Date : 2018-03-07
Mathematical Creativity And Mathematical Giftedness written by Florence Mihaela Singer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-07 with Education categories.
This book discusses the relationships between mathematical creativity and mathematical giftedness. It gathers the results of a literature review comprising all papers addressing mathematical creativity and giftedness presented at the International Congress on Mathematical Education (ICME) conferences since 2000. How can mathematical creativity contribute to children’s balanced development? What are the characteristics of mathematical giftedness in early ages? What about these characteristics at university level? What teaching strategies can enhance creative learning? How can young children’s mathematical promise be preserved and cultivated, preparing them for a variety of professions? These are some of the questions addressed by this book. The book offers, among others: analyses of substantial learning environments that promote creativity in mathematics lessons; discussions of a variety of strategies for posing and solving problems; investigations of students’ progress throughout their schooling; and examinations of technological tools and virtual resources meant to enhance learning with understanding. Multiple perspectives in the interdisciplinary fields of mathematical creativity and giftedness are developed to offer a springboard for further research. The theoretical and empirical studies included in the book offer a valuable resource for researchers, as well as for teachers of gifted students in specialized or inclusive settings, at various levels of education.
Problem Solving In Mathematics Education
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Author : Torsten Fritzlar
language : en
Publisher: WTM-Verlag Münster
Release Date : 2016-06-30
Problem Solving In Mathematics Education written by Torsten Fritzlar and has been published by WTM-Verlag Münster this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-30 with Juvenile Nonfiction categories.
From 3rd to 5th of September 2015 the 17th international ProMath conference (Problem Solving in Mathematics Education) took place at the Faculty of Education of the Martin Luther University Halle-Wittenberg (Germany). For the first time, it was combined with the annual meeting of the working group “Problem Solving” of the Society of Didactics of Mathematics. This book contains 20 peer reviewed articles of researchers from five European countries. The topics of the papers evolved around different areas of learning and problem solving. There are some theoretical papers on problem oriented mathematics instruction and specific aspects of problem solving and creativity as well as reports on detailed studies of problem solving processes of pupils and preservice teachers. Authors also present experiences with “real” problem solving instruction in different countries, considerations and teaching experiments on didactic concepts to foster pupils’ problem solving abilities, and they describe mathematically rich problem fields and their potentials for mathematical investigations in class. ProMath is a group of experienced and early career researchers in the field of mathematics education who are interested in investigating and fostering mathematical problem solving and problem oriented mathematics teaching.
Mathematics Education
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Author : Khoon Yoong Wong
language : en
Publisher: World Scientific
Release Date : 2009
Mathematics Education written by Khoon Yoong Wong and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Education categories.
This title provides much food for thought and pointers to meet future challenges in mathematics education not only within Singapore, but also in other countries.
Developing Research In Mathematics Education
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Author : Tommy Dreyfus
language : en
Publisher: Taylor & Francis
Release Date : 2018-04-27
Developing Research In Mathematics Education written by Tommy Dreyfus and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-27 with Education categories.
Developing Research in Mathematics Education is the first book in the series New Perspectives on Research in Mathematics Education, to be produced in association with the prestigious European Society for Research in Mathematics Education. This inaugural volume sets out broad advances in research in mathematics education which have accumulated over the last 20 years through the sustained exchange of ideas and collaboration between researchers in the field. An impressive range of contributors provide specifically European and complementary global perspectives on major areas of research in the field on topics that include: the content domains of arithmetic, geometry, algebra, statistics, and probability; the mathematical processes of proving and modeling; teaching and learning at specific age levels from early years to university; teacher education, teaching and classroom practices; special aspects of teaching and learning mathematics such as creativity, affect, diversity, technology and history; theoretical perspectives and comparative approaches in mathematics education research. This book is a fascinating compendium of state-of-the-art knowledge for all mathematics education researchers, graduate students, teacher educators and curriculum developers worldwide.