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.
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.
Frankl’s Man’s Search for Meaning sold over 10 million copies and was translated into over 30 languages and was deemed by a survey of the Library of Congress one of “the ten most influential books in America”. This volume introduces and presents translations of a number of important but less well-known writings by Viktor Frankl, translated from the original German, in which he forthrightly relates psychology to religious concepts. These cast a strong, new light on the generally received understanding of Frankl’s contribution to psychology – “logotherapy” – and its relationship to the soul and universal ethics.
This first book in the series will describe the Net Generation as visual learners who thrive when surrounded with new technologies and whose needs can be met with the technological innovations. These new learners seek novel ways of studying, such as collaborating with peers, multitasking, as well as use of multimedia, the Internet, and other Information and Communication Technologies. Here we present mathematics as a contemporary subject that is engaging, exciting and enlightening in new ways. For example, in the distributed environment of cyber space, mathematics learners play games, watch presentations on YouTube, create Java applets of mathematics simulations and exchange thoughts over the Instant Messaging tool. How should mathematics education resonate with these learners and technological novelties that excite them?
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.
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.
Viktor Frankl is known to millions as the author of Man's Search for Meaning, his harrowing Holocaust memoir. In this book, he goes more deeply into the ways of thinking that enabled him to survive imprisonment in a concentration camp and to find meaning in life in spite of all the odds. Here, he expands upon his groundbreaking ideas and searches for answers about life, death, faith and suffering. Believing that there is much more to our existence than meets the eye, he says: 'No one will be able to make us believe that man is a sublimated animal once we can show that within him there is a repressed angel.' In Man's Search for Ultimate Meaning, Frankl explores our sometimes unconscious desire for inspiration or revelation. He explains how we can create meaning for ourselves and, ultimately, he reveals how life has more to offer us than we could ever imagine.
Frankl's Man's Search for Meaning sold over 10 million copies and was translated into over 30 languages and was deemed by a survey of the Library of Congress one of "the ten most influential books in America". This volume introduces and presents translations of a number of important but less well-known writings by Viktor Frankl, translated from the original German, in which he forthrightly relates psychology to religious concepts. These cast a strong, new light on the generally received understanding of Frankl's contribution to psychology - "logotherapy" - and its relationship to the soul and universal ethics.
Even in the degradation and misery of Dachau concentration camp, Viktor Frankl retained the belief that the most important freedom of all is the freedom to determine one's own spiritual well-being. He wrote the international bestseller Man's Search for Meaning as a result of that experience, while in The Doctor and the Soul, Dr Frankl revolutionised psychotherapy with his theory of Logotherapy.Viktor Frankl's work has been described as "the most important contributions in the field of psychotherapy since the days of Freud, Adler and Jung."In The Doctor and the Soul, Dr Frankl maintains that the individual's most important need is to find meaning in life and the frustration of this need results in neurosis, suffering and despair. A doctor's work lies in finding personal meaning in a patient's life, no matter how dismal the circumstances of the life.
Viktor Frankl, bestselling author of Man's Search for Meaning, explains the psychological tools that enabled him to survive the Holocaust Viktor Frankl is known to millions as the author of Man's Search for Meaning, his harrowing Holocaust memoir. In this book, he goes more deeply into the ways of thinking that enabled him to survive imprisonment in a concentration camp and to find meaning in life in spite of all the odds. He expands upon his groundbreaking ideas and searches for answers about life, death, faith and suffering. Believing that there is much more to our existence than meets the eye, he says: 'No one will be able to make us believe that man is a sublimated animal once we can show that within him there is a repressed angel.' In Man's Search for Ultimate Meaning, Frankl explores our sometimes unconscious desire for inspiration or revelation. He explains how we can create meaning for ourselves and, ultimately, he reveals how life has more to offer us than we could ever imagine.
This book provides a detailed and rigorous presentation of the spectroscopy and dynamics of orientationally structured adsorbates. It is intended largely for specialists and graduate students in solid state theory and surface physics. To make the book readable also for beginners in surface science, a lucid style is used and a wealth of references on orientational surface structures and vibrational excitations in them is offered. The book is supplemented with two indices (alphabetical listing of subjects and authors, as well as cross-references) which will enable the reader to easily access the information both on principal concepts involved and on specific adsorbate compositions.
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