Sergei Abramovich's Books

Developing Deep Knowledge in Middle School Mathematics

A Textbook for Teaching in the Age of Technology

By: Sergei Abramovich,Michael L. Connell

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Developing Deep Knowledge in Middle School Mathematics

A Textbook for Teaching in the Age of Technology

By: Sergei Abramovich,Michael L. Connell

This textbook is for prospective teachers of middle school mathematics. It reflects on the authors’ experience in offering various mathematics education courses to prospective teachers in the US and Canada. In particular, the content can support one or more of 24-semester-hour courses recommended by the Conference Board of the Mathematical Sciences (2012) for the mathematical preparation of middle school teachers. The textbook integrates grade-appropriate content on all major topics in the middle school mathematics curriculum with international recommendations for teaching the content, making it relevant for a global readership. The textbook emphasizes the inherent connections between mathematics and real life, since many mathematical concepts and procedures stem from common sense, something that schoolchildren intuitively possess. This focus on teaching formal mathematics with reference to real life and common sense is essential to its pedagogical approach. In addition, the textbook stresses the importance of being able to use technology as an exploratory tool, and being familiar with its strengths and weaknesses. In keeping with this emphasis on the use of technology, both physical (manipulatives) and digital (commonly available educational software), it also explores e.g. the use of computer graphing software for digital fabrication. In closing, the textbook addresses the issue of creativity as a crucial aspect of education in the digital age in general, and in mathematics education in particular.

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451

Publisher

Springer Nature

Published Date

ISBN 10

3030685640

ISBN 13

9783030685645

Topics in Mathematics for Elementary Teachers

A Technology-Enhanced Experiential Approach

By: Sergei Abramovich

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Topics in Mathematics for Elementary Teachers

A Technology-Enhanced Experiential Approach

By: Sergei Abramovich

This book reflects the author’s experience in teaching a mathematics content course for pre-service elementary teachers. The book addresses a number of recommendations of the Conference Board of the Mathematical Sciences for the preparation of teachers demonstrating how abstract mathematical concepts can be motivated by concrete activities. Such an approach, when enhanced by the use of technology, makes it easier for the teachers to grasp the meaning of generalization, formal proof, and the creation of an increasing number of concepts on higher levels of abstraction. A strong experiential component of the book made possible by the use of manipulative materials and digital technology such as spreadsheets, The Geometer’s Sketchpad, Graphing Calculator 3.5 (produced by Pacific Tech), and Kid Pix Studio Deluxe makes it possible to balance informal and formal approaches to mathematics, allowing the teachers to learn how the two approaches complement each other. Classroom observations of the teachers’ learning mathematics as a combination of theory and experiment confirm that this approach elevates one’s mathematical understanding to a higher ground. The book not only shows the importance of mathematics content knowledge for teachers but better still, how this knowledge can be gradually developed in the context of exploring grade-appropriate activities and tasks and using computational and manipulative environments to support these explorations. Most of the chapters are motivated by a problem/activity typically found in the elementary mathematics curricula and/or standards (either National or New York State – the context in which the author prepares teachers). By exploring such problems in depth, the teachers can learn fundamental mathematical concepts and ideas hidden within a seemingly mundane problem/activity. The need to have experience in going beyond traditional expectations for learning is due to the constructivist orientation of contemporary mathematics pedagogy that encourages students to ask questions about mathematics they study. Each chapter includes an activity set that can be used for the development of the variety of assignments for the teachers. The material included in the book is original in terms of the approach used to teach mathematics to the teachers and it is based on a number of journal articles published by the author in the United States and elsewhere. Mathematics educators who are interested in integrating hands-on activities and digital technology into the teaching of mathematics will find this book useful. Mathematicians who teach mathematics to the teachers as part of their teaching load will be interested in the material included in the book as it connects childhood mathematics content and mathematics for the teachers.

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Page Count

263

Publisher

IAP

Published Date

ISBN 10

1607524627

ISBN 13

9781607524625

Diversifying Mathematics Teaching: Advanced Educational Content And Methods For Prospective Elementary Teachers

By: Sergei Abramovich

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Diversifying Mathematics Teaching: Advanced Educational Content And Methods For Prospective Elementary Teachers

By: Sergei Abramovich

What one takes away from this book is the notion that there’s a lot of potential to do more with these students, and the book stands as a resource for anyone who shares that opinion … Books like Abramovich’s are a welcome addition to our options as we try to do our best by these students, and by extension, their future students.'MAA ReviewsThe book is written to enhance the preparation of elementary teacher candidates by offering teaching ideas conducive to the development of deep understanding of concepts fundamental to the mathematics curriculum they are to teach. It intends to show how the diversity of teaching methods stems from the knowledge of mathematics content and how the appreciation of this diversity opens a window to the teaching of extended content.The book includes material that the author would have shared with teacher candidates should there have been more instructional time than a 3 credit hour master's level course, 'Elementary Mathematics: Content and Methods', provides. Thus the book can supplement a basic textbook for such a course by extending content and diversifying methods.Also, the book can support graduate level mathematics education programs which have problem-solving seminars/courses in their curriculum. The book is well-informed with (available in English) the mathematical standards and recommendations for teachers from Australia, Canada, Chile, England, Japan, Korea, Singapore, and the United States.

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Page Count

285

Publisher

World Scientific

Published Date

ISBN 10

9813206896

ISBN 13

9789813206892

Fostering Collateral Creativity in School Mathematics

Paying Attention to Students’ Emerging Ideas in the Age of Technology

By: Sergei Abramovich,Viktor Freiman

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Fostering Collateral Creativity in School Mathematics

Paying Attention to Students’ Emerging Ideas in the Age of Technology

By: Sergei Abramovich,Viktor Freiman

This book explores the topic of using technology, both physical and digital, to motivate creative mathematical thinking among students who are not considered ‘mathematically advanced.’ The book reflects the authors’ experience of teaching mathematics to Canadian and American teacher candidates and supervising several field-based activities by the candidates. It consists of eight chapters and an Appendix which includes details of constructing computational learning environments. Specifically, the book demonstrates how the appropriate use of technology in the teaching of mathematics can create conditions for the emergence of what may be called ‘collateral creativity,’ a notion similar to Dewey’s notion of collateral learning. Just as collateral learning does not result from the immediate goal of the traditional curriculum, collateral creativity does not result from the immediate goal of traditional problem solving. Rather, mathematical creativity emerges as a collateral outcome of thinking afforded by the use of technology. Furthermore, collateral creativity is an educative outcome of one’s learning experience with pedagogy that motivates students to ask questions about computer-generated or tactile-derived information and assists them in finding answers to their own or the teacher’s questions. This book intends to provide guidance to teachers for fostering collateral creativity in their classrooms.

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Page Count

141

Publisher

Springer Nature

Published Date

ISBN 10

3031406397

ISBN 13

9783031406393

Exploring Mathematics With Integrated Spreadsheets In Teacher Education

By: Sergei Abramovich

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Exploring Mathematics With Integrated Spreadsheets In Teacher Education

By: Sergei Abramovich

The goal of the book is to technologically enhance the preparation of mathematics schoolteachers using an electronic spreadsheet integrated with Maple and Wolfram Alpha — digital tools capable of sophisticated symbolic computations. The content of the book is a combination of mathematical ideas and concepts associated with pre-college problem solving curriculum and their extensions into more advanced mathematical topics.The book provides prospective and practicing teachers with a foundation for developing a deep understanding of many concepts fundamental to the teaching of school mathematics. It also provides the teachers with a technical expertise in designing spreadsheet-based computational environments.Consistent with the current worldwide guidelines for technology-enhanced teacher preparation, the book emphasizes the integration of context, mathematics, and technology as a method for teaching mathematics. Throughout the book, a number of mathematics education documents developed around the world (Australia, Canada, England, Japan, Singapore, United States) are reviewed as appropriate.

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Page Count

303

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

9814678244

ISBN 13

9789814678247

Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations

By: Óscar Domínguez,Sergei Tikhonov

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Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations

By: Óscar Domínguez,Sergei Tikhonov

View the abstract.

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Page Count

180

Publisher

American Mathematical Society

Published Date

ISBN 10

1470455382

ISBN 13

9781470455385

A Maverick Boasian

The Life and Work of Alexander A. Goldenweiser

By: Sergei Kan

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A Maverick Boasian

The Life and Work of Alexander A. Goldenweiser

By: Sergei Kan

A Maverick Boasian explores the often contradictory life of Alexander Goldenweiser (1880–1940), a scholar considered by his contemporaries to be Franz Boas’s most brilliant and most favored student. The story of his life and scholarship is complex and exciting as well as frustrating. Although Goldenweiser came to the United States from Russia as a young man, he spent the next forty years thinking of himself as a European intellectual who never felt entirely at home. A talented ethnographer, he developed excellent rapport with his Native American consultants but cut short his fieldwork due to lack of funds. An individualist and an anarchist in politics, he deeply resented having to compromise any of his ideas and freedoms for the sake of professional success. A charming man, he risked his career and family life to satisfy immediate needs and wants. A number of his books and papers on the relationship between anthropology and other social sciences helped foster an important interdisciplinary conversation that continued for decades after his death. For the first time, Sergei Kan brings together and examines all of Goldenweiser’s published scholarly works, archival records, personal correspondences, nonacademic publications, and living memories from several of Goldenweiser’s descendants. Goldenweiser attracted attention for his unique progressive views on such issues as race, antisemitism, immigration, education, pacifism, gender, and individual rights. His was a major voice in a chorus of progressive Boasians who applied the insights of their discipline to a variety of questions on the American public’s mind. Many of the battles he fought are still with us today.

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Page Count

269

Publisher

U of Nebraska Press

Published Date

ISBN 10

1496234421

ISBN 13

9781496234421

Sergei Rachmaninoff

A Lifetime in Music

By: Sergei Bertensson,Jay Leyda

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Sergei Rachmaninoff

A Lifetime in Music

By: Sergei Bertensson,Jay Leyda

Throughout his career as composer, conductor, and pianist, Sergei Rachmaninoff (1873-1943) was an intensely private individual. When Bertensson and Leyda's 1956 biography appeared, it lifted the veil of secrecy on several areas of Rachmaninoff's life, especially concerning the genesis of his compositions and how he was affected by their critical reception.These pages are fabulously peopled. Here we find the Tchaikovsky brothers, Rimsky-Korsakov, Scriabin, Glazunov, and Stravinsky, as well as Chekhov, Stanislavsky, Chaliapin, Fokine, Hofmann, and Horowitz.This biography reflects direct consultation with a number of people who knew Rachmaninoff, worked with him, and corresponded with him. Even with the availabilty of such sources and full access to the Rachmaninoff Archive at the Library of Congress, Bertensson, Leyda, and Satina (Rachmaninoff's cousin and sister-in-law) were tireless in their pursuit of privately held documents, particularly correspondence. The wonderfully engaging product of their labours masterfully incorporates primary materials into the narrative. Almost half a century after it first appeared, this volume remains essential reading.

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Page Count

530

Publisher

Indiana University Press

Published Date

ISBN 10

0253214211

ISBN 13

9780253214218

The Uncensored Boris Godunov

The Case for Pushkin's Original Comedy

By: Chester Dunning,Caryl Emerson,Sergei Fomichev,Lidiia Lotman

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The Uncensored Boris Godunov

The Case for Pushkin's Original Comedy

By: Chester Dunning,Caryl Emerson,Sergei Fomichev,Lidiia Lotman

Includes the original Russian text and, for the first time, an English translation of that version. “Antony Wood’s translation is fluent and idiomatic; analyses by Dunning et al. are incisive; and the ‘case’ they make is skillfully argued. . . . Highly recommended.”—Choice

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Page Count

579

Publisher

Univ of Wisconsin Press

Published Date

ISBN 10

0299207633

ISBN 13

9780299207632

Lev Shternberg

Anthropologist, Russian Socialist, Jewish Activist

By: Sergei Kan

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Lev Shternberg

Anthropologist, Russian Socialist, Jewish Activist

By: Sergei Kan

This intellectual biography of Lev Shternberg (1861 1927) illuminates the development of professional anthropology in late imperial and early Soviet Russia. Shortly after the formation of the Soviet Union the government initiated a detailed ethnographic survey of the country s peoples. Lev Shternberg, who as a political exile during the late tsarist period had conducted ethnographic research in northeastern Siberia, was one of the anthropologists who directed this survey and consequently played a major role in influencing the professionalization of anthropology in the Soviet Union. But Shternberg was much more than a government anthropologist. Under the new regime he continued his work as the senior curator of the St. Petersburg Museum of Anthropology and Ethnography, which began in the early 1900s. In the last decade of his life Shternberg also played a leading role in establishing a new Soviet school of cultural anthropology and in training a cohort of professional anthropologists. True to the ideals of his youth, he also continued an active involvement in the intellectual life of the Jewish community, even though the new regime was making it increasingly difficult. This in-depth biography explores the scholarly and political aspects of Shternberg s life and how they influenced each other. It also places his career in both national and international perspectives, showing the context in which he lived and worked and revealing the important developments in Russian anthropology during these tumultuous years.

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Page Count

574

Publisher

U of Nebraska Press

Published Date

ISBN 10

0803224702

ISBN 13

9780803224704

Nikita Khrushchev and the Creation of a Superpower

By: Sergei N. Khrushchev,Shirley Benson

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Nikita Khrushchev and the Creation of a Superpower

By: Sergei N. Khrushchev,Shirley Benson

A unique account of Cold War history during the Khrushchev era by one who witnessed it firsthand at his father's side.

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Page Count

854

Publisher

Penn State Press

Published Date

ISBN 10

0271021705

ISBN 13

9780271021706

Towards Deep Understanding Of Elementary School Mathematics: A Brief Companion For Teacher Educators And Others

By: Sergei Abramovich

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Towards Deep Understanding Of Elementary School Mathematics: A Brief Companion For Teacher Educators And Others

By: Sergei Abramovich

The book is intended to serve as a brief companion for mathematical educators of elementary teacher candidates who learn mathematics within a college of education both at the undergraduate and graduate levels. Being informed by mathematics teaching and learning standards of the United States, Australia, Canada, Chile, England, Japan, Korea, Singapore, and South Africa, the book can be used internationally.The teaching methods emphasize the power of visualization, the use of physical materials, and support of computer technology including spreadsheet, Wolfram Alpha, and the Geometer's Sketchpad.The basic ideas include the development of the concepts of number, base-ten system, problem solving and posing, the emergence of fractions in the context of simple real-life activities requiring the extension of whole number arithmetic, decimals, percent, ratio, geoboard geometry, elements of combinatorics, probability and data analysis.The book includes historical aspects of elementary school mathematics. For example, readers would be interested to know that two-sided counters stem from the binary system with its genesis in the 1st millennium BC China of which Leibnitz (17th century) was one of the first notable proponents. The genesis of the base-ten arithmetic is in the Egyptian mathematics of the 4th millennium BC, enriched with the positional notation with the advent of Hindu-Arabic numerals in the 12th century Europe.

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Page Count

310

Publisher

World Scientific

Published Date

ISBN 10

9811257019

ISBN 13

9789811257018

Diversifying Mathematics Teaching: Advanced Educational Content And Methods For Prospective Elementary Teachers

By: Sergei Abramovich

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Diversifying Mathematics Teaching: Advanced Educational Content And Methods For Prospective Elementary Teachers

By: Sergei Abramovich

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285

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World Scientific

Published Date

ISBN 10

9813206896

ISBN 13

9789813206892

Developing Deep Knowledge in Middle School Mathematics

A Textbook for Teaching in the Age of Technology

By: Sergei Abramovich,Michael L. Connell

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Developing Deep Knowledge in Middle School Mathematics

A Textbook for Teaching in the Age of Technology

By: Sergei Abramovich,Michael L. Connell

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Page Count

451

Publisher

Springer Nature

Published Date

ISBN 10

3030685640

ISBN 13

9783030685645

Computational Experiment Approach to Advanced Secondary Mathematics Curriculum

By: Sergei Abramovich

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Computational Experiment Approach to Advanced Secondary Mathematics Curriculum

By: Sergei Abramovich

This book promotes the experimental mathematics approach in the context of secondary mathematics curriculum by exploring mathematical models depending on parameters that were typically considered advanced in the pre-digital education era. This approach, by drawing on the power of computers to perform numerical computations and graphical constructions, stimulates formal learning of mathematics through making sense of a computational experiment. It allows one (in the spirit of Freudenthal) to bridge serious mathematical content and contemporary teaching practice. In other words, the notion of teaching experiment can be extended to include a true mathematical experiment. When used appropriately, the approach creates conditions for collateral learning (in the spirit of Dewey) to occur including the development of skills important for engineering applications of mathematics. In the context of a mathematics teacher education program, the book addresses a call for the preparation of teachers capable of utilizing modern technology tools for the modeling-based teaching of mathematics with a focus on methods conducive to the improvement of the whole STEM education at the secondary level. By the same token, using the book’s pedagogy and its mathematical content in a pre-college classroom can assist teachers in introducing students to the ideas that develop the foundation of engineering profession.

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Page Count

333

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9401786224

ISBN 13

9789401786225

Fostering Collateral Creativity in School Mathematics

Paying Attention to Students’ Emerging Ideas in the Age of Technology

By: Sergei Abramovich,Viktor Freiman

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Fostering Collateral Creativity in School Mathematics

Paying Attention to Students’ Emerging Ideas in the Age of Technology

By: Sergei Abramovich,Viktor Freiman

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Page Count

141

Publisher

Springer Nature

Published Date

ISBN 10

3031406397

ISBN 13

9783031406393

Integrating Computers And Problem Posing In Mathematics Teacher Education

By: Sergei Abramovich

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Integrating Computers And Problem Posing In Mathematics Teacher Education

By: Sergei Abramovich

The book is written to share ideas stemming from technology-rich K-12 mathematics education courses taught by the author to American and Canadian teacher candidates over the past two decades. It includes examples of problems posed by the teacher candidates using computers. These examples are analyzed through the lenses of the theory proposed in the book.Also, the book includes examples of computer-enabled formulation as well as reformulation of rather advanced problems associated with the pre-digital era problem-solving curriculum. The goal of the problem reformulation is at least two-fold: to make curriculum materials compatible with the modern-day emphasis on democratizing mathematics education and to find the right balance between positive and negative affordances of technology.The book focuses on the use of spreadsheets, Wolfram Alpha, Maple, and The Graphing Calculator (also known as NuCalc) in problem posing. It can be used by pre-service and in-service teachers interested in K-12 mathematics curriculum development in the digital era as well as by those studying mathematics education from a theoretical perspective.

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Page Count

254

Publisher

World Scientific

Published Date

ISBN 10

9813273933

ISBN 13

9789813273931

Exploring Mathematics With Integrated Spreadsheets In Teacher Education

By: Sergei Abramovich

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Exploring Mathematics With Integrated Spreadsheets In Teacher Education

By: Sergei Abramovich

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Page Count

303

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

9814678244

ISBN 13

9789814678247

Topics in Mathematics For Elementary Teachers

A Technology-Enhanced Experiential Approach 2nd Edition

By: Sergei Abramovich

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Topics in Mathematics For Elementary Teachers

A Technology-Enhanced Experiential Approach 2nd Edition

By: Sergei Abramovich

This is the second (revised) edition of the book published in 2010 under the same title. It reflects the author’s experience teaching a graduate level mathematics content course for elementary teacher candidates at SUNY Potsdam since 2003. The book addresses a number of recommendations of the Conference Board of the Mathematical Sciences for the preparation of teachers demonstrating how abstract mathematical concepts can be motivated by concrete activities and the use of technology. Such approach to school mathematics makes it easier for teachers to grasp the meaning of generalization, formal proof, and the creation of an increasing number of concepts on higher levels of abstraction. The book’s computer-enhanced pedagogy and its strong experiential component enabled by the use of manipulative materials have the potential to reduce mathematics anxiety among teachers and help them develop confidence in teaching the subject matter through modeling and problem solving. Classroom observations of teachers’ learning mathematics as a combination of theory and experiment confirm that this approach elevates one’s mathematical understanding to a higher ground. Most of the chapters are motivated by a problem typically found in the elementary mathematics curricula and/or standards (either National or New York State – the context in which the author prepare teachers). By exploring traditional problems in depth, teachers can uncover fundamental mathematical concepts and ideas hidden within a seemingly mundane task. The need to have experience in going beyond traditional expectations for learning is due to the constructivist orientation of contemporary mathematics pedagogy that encourages students to ask questions about mathematics they study. Each chapter (except the last one) includes an activity set that can be used for the development of the variety of assignments for teachers. Digital tools used in the book include spreadsheets, Wolfram Alpha, GeoGebra, Kid Pix Studio Deluxe, and Graphing Calculator (Pacific Tech).

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