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Extending the Challenge in Mathematics

Author: Linda Jensen Sheffield

Publisher: Corwin Press

Published: 2002-10-22

Total Pages: 161

ISBN-13: 148336609X

"The best source I have seen challenging mathematically talented students. The activities are thought provoking and enjoyable. I will recommend this book to parents as well as educators of mathematically talented students!" Sally Reis Past President of The National Association for Gifted Children Challenge, engage, and inspire your mathematically promising students! Combining theory and practice, Sheffield expertly guides the reader through the process of mathematical talent development from identifying students with mathematical potential, to finding and creating first-rate problems for exploration and strategies for assessment. The multi-level investigations in this book are designed to challenge students and inspire deeper and more original mathematical thinking in Number and Operations, Algebra, Geometry and Measurement, and Data Analysis and Probability. Each investigation is developed in the following easy-to-follow format: Relate—sets the stage for the investigation by connecting it to prior learning and the NCTM Principles and Standards Investigate—poses the initial problem to start students thinking about the investigation Evaluate and Communicate—provides solutions, probing assessment questions, and suggestions for teacher responses Create—offers ideas for extending and deepening the investigation, allowing even the most accomplished students to add depth and complexity to their reasoning Discussion—gives teachers hints on what to look for in student solutions, as well as ideas for encouraging students to dig more deeply into the mathematical concepts that are presented Mathematically promising students have the potential to become the leaders and problem solvers of the future. Extending the Challenge in Mathematics provides the practical tips and tools educators need to help their students develop this potential to the fullest.

Research On and Activities For Mathematically Gifted Students

Author: Florence Mihaela Singer

Publisher: Springer

Published: 2016-06-13

Total Pages: 41

ISBN-13: 3319394509

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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.

Developing Mathematically Promising Students

Author: Linda Jensen Sheffield

Publisher:

Published: 1999

Total Pages: 336

ISBN-13:

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Developing mathematically promising students.

Mathematical Creativity and Mathematical Giftedness

Author: Florence Mihaela Singer

Publisher: Springer

Published: 2018-03-07

Total Pages: 428

ISBN-13: 3319731564

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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.

Math Education for Gifted Students

Author: Susan K. Johnsen

Publisher: PRUFROCK PRESS INC.

Published: 2005

Total Pages: 162

ISBN-13: 1593631669

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For the first time, the "Gifted Child Today Reader" series brings together the best articles published in "Gifted Child Today", the nation's most popular gifted education journal. Each book in the series is filled with exciting and practical classroom ideas, useful summaries of research findings, discussions of identification and classroom management, and informed opinions about educating gifted kids. Anyone involved in education will benefit from the practical, research-based ideas this unique series has to offer. Given gifted students' accelerated and intuitive thought processes regarding mathematics, teachers need to design differentiated curricula and use strategies that increase the complexity and pace of instruction. The authors provide some specific strategies for both organizing a gifted program and teaching mathematically gifted students in either the general education classroom or in special settings. "Math Education for Gifted Students" offers information about how to differentiate for mathematically gifted students, as well as tried-and-true instructional strategies to employ, including tiered lessons, distance learning, and activities combining architecture and math.

The Peak in the Middle

Author: Mark E. Saul

Publisher: Lawrence Erlbaum Associates

Published: 2010

Total Pages: 188

ISBN-13: 9780873536349

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Good teaching is responsive to individual differences, tailoring instruction to meet the needs of individual learners. In gifted education, students need a curriculum that is differentiated (by level, complexity, breadth, and depth), developmentally appropriate, and conducted at a more rapid rate. This collection of essays from experts in the field addresses the particular needs educational institutions have in serving their gifted students. Topics include policy and philosophy; specific program models; supplemental materials and programs; knowledge and skills that teachers need in their work; international opportunities and possibilities; and equity. Many of the points raised are as valid for general education students as for gifted students. Many relate equally well to high school or elementary school. And many apply across the curriculum--not just to mathematics. This book contains nine chapters: (1) Philosophy and Policies to Guide Middle School Mathematics Instruction: Issues of Identification, Acceleration, and Grouping (Tamra Stambaugh and Camilla P. Benbow); (2) Program Models: Matching the Program to the Abilities, Needs, and Interests of Mathematically Talented Students (Ann Lupkowski-Shoplik); (3) Using Curriculum to Develop Mathematical Promise in the Middle Grades (M. Katherine Gavin and Linda Jensen Sheffield); (4) Preparing Teachers for Mathematically Talented Middle School Students (Carole Greenes, Dawn Teuscher, and Troy P. Regis); (5) Extracurricular Opportunities for Mathematically Gifted Middle School Students (Richard Rusczyk); (6) Articulation (Janet Lynne Tassell, Rebecca Ruth Stobaugh, Beth Duvall Fleming, and Chloe R. Harper); (7) Middle School Geometry: a Case Study (John Benson); (8) Equity (Max Warshauer, Terry McCabe, M. Alejandra Sorto, Sharon Strickland, Hiroko Warshauer, and Alex White); and (9) Inspiring and Developing Student Interest: Several Examples from Foreign Schools (Alexander Karp). A preface and afterword are also included.

Creativity in Mathematics and the Education of Gifted Students

Author: Roza Leikin

Publisher: BRILL

Published: 2009-01-01

Total Pages: 419

ISBN-13: 9087909357

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This book breaks through in the field of mathematical creativity and giftedness. It suggests directions for closing the gap between research in the field of mathematics education and research in the field of creativity and giftedness. It also outlines a research agenda for further research and development in the field.

Developing Mathematical Giftedness Within Primary Schools

Author: Christos Dimitriadis

Publisher: LAP Lambert Academic Publishing

Published: 2013

Total Pages: 432

ISBN-13: 9783659503283

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Taking educational measures for developing mathematical giftedness within primary schools is not a simple and easy educational issue which could be addressed by simply separating students into ability groups and giving the more able ones work from higher levels of mathematics syllabus. Gifted mathematicians are exceptional students who have special needs - academic and emotional needs - and because of this they need well-trained teachers, attention, continuous support through focused instruction and work at higher cognitive levels, in order to develop their potential to the fullest extent. This book presents empirical research findings collected from primary schools in England which support the above statement. Conclusions and suggestions presented in this book are also supported by an extensive review of modern theories of giftedness and talent development, international practices for educational provision for gifted students, and specific frameworks and models for teaching mathematics to mathematically promising students.

Proceedings of the 13th International Congress on Mathematical Education

Author: Gabriele Kaiser

Publisher: Springer

Published: 2017-10-31

Total Pages: 766

ISBN-13: 3319625977

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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 speaking countries met for specific activities. Directly before the congress activities were offered for 450 Early Career Researchers. The proceedings give a comprehensive overview on the current state-of-the-art of the discussions on mathematics education and display the breadth and deepness of current research on mathematical teaching-and-learning processes. The book introduces the major activities of ICME-13, namely articles from the four plenary lecturers and two plenary panels, articles from the five ICMI awardees, reports from six national presentations, three reports from the thematic afternoon devoted to specific features of ICME-13. Furthermore, the proceedings contain descriptions of the 54 Topic Study Groups, which formed the heart of the congress and reports from 29 Discussion Groups and 31 Workshops. The additional important activities of ICME-13, namely papers from the invited lecturers, will be presented in the second volume of the proceedings.

Knowing and Learning Mathematics for Teaching

Author: National Research Council

Publisher: National Academies Press

Published: 2001-02-25

Total Pages: 233

ISBN-13: 0309072522

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There are many questions about the mathematical preparation teachers need. Recent recommendations from a variety of sources state that reforming teacher preparation in postsecondary institutions is central in providing quality mathematics education to all students. The Mathematics Teacher Preparation Content Workshop examined this problem by considering two central questions: What is the mathematical knowledge teachers need to know in order to teach well? How can teachers develop the mathematical knowledge they need to teach well? The Workshop activities focused on using actual acts of teaching such as examining student work, designing tasks, or posing questions, as a medium for teacher learning. The Workshop proceedings, Knowing and Learning Mathematics for Teaching, is a collection of the papers presented, the activities, and plenary sessions that took place.