Author: Arkadiy Skopenkov
Publisher: American Mathematical Society, Mathematical Sciences Research Institute
ISBN: 1470448785
Category : Mathematics
Languages : en
Pages : 196
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Book Description
This book is a translation from Russian of Part I of the book Mathematics Through Problems: From Olympiads and Math Circles to Profession. The other two parts, Geometry and Combinatorics, will be published soon. The main goal of this book is to develop important parts of mathematics through problems. The author tries to put together sequences of problems that allow high school students (and some undergraduates) with strong interest in mathematics to discover and recreate much of elementary mathematics and start edging into the sophisticated world of topics such as group theory, Galois theory, and so on, thus building a bridge (by showing that there is no gap) between standard high school exercises and more intricate and abstract concepts in mathematics. Definitions and/or references for material that is not standard in the school curriculum are included. However, many topics in the book are difficult when you start learning them from scratch. To help with this, problems are carefully arranged to provide gradual introduction into each subject. Problems are often accompanied by hints and/or complete solutions The book is based on classes taught by the author at different times at the Independent University of Moscow, at a number of Moscow schools and math circles, and at various summer schools. It can be used by high school students and undergraduates, their teachers, and organizers of summer camps and math circles. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.
Author: Arkadiy Skopenkov
Publisher: American Mathematical Society, Mathematical Sciences Research Institute
ISBN: 1470448785
Category : Mathematics
Languages : en
Pages : 196
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Book Description
This book is a translation from Russian of Part I of the book Mathematics Through Problems: From Olympiads and Math Circles to Profession. The other two parts, Geometry and Combinatorics, will be published soon. The main goal of this book is to develop important parts of mathematics through problems. The author tries to put together sequences of problems that allow high school students (and some undergraduates) with strong interest in mathematics to discover and recreate much of elementary mathematics and start edging into the sophisticated world of topics such as group theory, Galois theory, and so on, thus building a bridge (by showing that there is no gap) between standard high school exercises and more intricate and abstract concepts in mathematics. Definitions and/or references for material that is not standard in the school curriculum are included. However, many topics in the book are difficult when you start learning them from scratch. To help with this, problems are carefully arranged to provide gradual introduction into each subject. Problems are often accompanied by hints and/or complete solutions The book is based on classes taught by the author at different times at the Independent University of Moscow, at a number of Moscow schools and math circles, and at various summer schools. It can be used by high school students and undergraduates, their teachers, and organizers of summer camps and math circles. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.
Author: Alexey A. Zaslavsky
Publisher: American Mathematical Soc.
ISBN: 1470448793
Category : Education
Languages : en
Pages : 177
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Book Description
This book is a translation from Russian of Part II of the book Mathematics Through Problems: From Olympiads and Math Circles to Profession. Part I, Algebra, was recently published in the same series. Part III, Combinatorics, will be published soon. The main goal of this book is to develop important parts of mathematics through problems. The authors tried to put together sequences of problems that allow high school students (and some undergraduates) with strong interest in mathematics to discover and recreate much of elementary mathematics and start edging into more sophisticated topics such as projective and affine geometry, solid geometry, and so on, thus building a bridge between standard high school exercises and more intricate notions in geometry. Definitions and/or references for material that is not standard in the school curriculum are included. To help students that might be unfamiliar with new material, problems are carefully arranged to provide gradual introduction into each subject. Problems are often accompanied by hints and/or complete solutions. The book is based on classes taught by the authors at different times at the Independent University of Moscow, at a number of Moscow schools and math circles, and at various summer schools. It can be used by high school students and undergraduates, their teachers, and organizers of summer camps and math circles. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.
Author: Arkadiy Skopenkov
Publisher:
ISBN: 9781470462888
Category : Algebra
Languages : en
Pages : 196
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Author: Joanna Osborne Masingila
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 295
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Author: Joanna Osborne Masingila
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 394
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Author:
Publisher: BRILL
ISBN: 9087902441
Category : Education
Languages : en
Pages :
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Book Description
The book tries to explain the Finnish teacher education and school system as well as Finnish children’s learning environment at the level of the comprehensive school, and thus give explanations for the Finnish PISA success. The book is a joint enterprise of Finnish teacher educators.
Author: Richard A. Lesh
Publisher: Routledge
ISBN: 1317438523
Category : Education
Languages : en
Pages : 607
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Book Description
This book has two primary goals. On the level of theory development, the book clarifies the nature of an emerging "models and modeling perspective" about teaching, learning, and problem solving in mathematics and science education. On the level of emphasizing practical problems, it clarifies the nature of some of the most important elementary-but-powerful mathematical or scientific understandings and abilities that Americans are likely to need as foundations for success in the present and future technology-based information age. Beyond Constructivism: Models and Modeling Perspectives on Mathematics Problem Solving, Learning, and Teaching features an innovative Web site housing online appendices for each chapter, designed to supplement the print chapters with digital resources that include example problems, relevant research tools and video clips, as well as transcripts and other samples of students' work: http://tcct.soe.purdue.edu/booksULandULjournals/modelsULandUL modeling/ This is an essential volume for graduate-level courses in mathematics and science education, cognition and learning, and critical and creative thinking, as well as a valuable resource for researchers and practitioners in these areas.
Author:
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 78
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Book Description
Author: Joyce E. Many
Publisher: IAP
ISBN: 1641131217
Category : Education
Languages : en
Pages : 271
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Book Description
Teacher education has long relied on locally-developed assessments that lack reliability and validity. Rigorous performance-based assessments for preservice teachers have been advanced as one possible way to ensure that all students receive instruction from a high-quality teacher. Recently, performance-based assessments have been developed which focus on the application of knowledge of teaching and learning in a classroom setting. Our book explores factors related to the implementation of teacher performance assessments in varying state and institutional contexts. The contributors, teacher educators from across the country, focus on what was learned from inquiries conducted using diverse methodologies (quantitative, qualitative, self-studies, and mixed methods). Their research encompassed faculty, supervisors, cooperating teachers, and students’ perceptions and concerns of teacher performance assessments, case studies of curricular reform and/or resistance, analyses of experiences and needs as a result of the adoption of such assessments, and examinations of the results of program alignment and reform. The chapters showcase experiences which occurred during high-stakes situations, in implementation periods prior to high-stakes adoption, and in contexts where programs adopted performance assessments as an institutional policy rather than as a result of a state-wide mandate. Endorsements The chapters compiled for Implementing and Analyzing Performance Assessments in Teacher Education edited by Joyce E. Many and Ruchi Bhatnagar, present a thoughtful look at the challenges and solutions embedded in the adoption of teacher performance assessments for preservice teachers. Most chapters feature edTPA, the most commonly used performance assessment now mandated in numerous states and used voluntarily by other programs across the country, and reveal how such assessments shine a bright light on the problems of practice in teacher preparation (stressful timelines, faculty silos, communication with P-12 partners, etc.) when new requirements disrupt the status quo. Each chapter tells a valuable story of performance assessment implementation and approaches that offset compliance in favor of inquiry and educative experiences for candidates and programs alike. Andrea Whittaker, Ph.D edTPA National Director Stanford University Graduate School of Education UL-SCALE Many and Bhatnagar launch the AAPE book series with a curated volume highlighting the contexts in which teacher educators implement and utilize performance assessments in educator preparation. Together, the chapters present research from various viewpoints—from candidates, faculty, university supervisors, and clinical partners—using diverse methodologies and approaches. The volume contributes significantly to the program assessment research landscape by providing examples of how performance assessments inform preparation at the intersection of praxis and research, and campus and field. These chapters provide a critical foundation for teacher educators eager to leverage performance assessments to improve their programs. Diana B. Lys, EdD. Assistant Dean of Educator Preparation and Accreditation School of Education University of North Carolina at Chapel Hill
Author: Derek Allan Holton
Publisher:
ISBN: 9780906588390
Category : Mathematics
Languages : en
Pages : 101
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