This book offers multiple interconnected perspectives on the potential of elementary number theory for mathematics education.Contributions from an int'l group of researchers represent a range of pedagogical and research orientations by that,collectively
This book offers multiple interconnected perspectives on the potential of elementary number theory for mathematics education.Contributions from an int...
Number theory has been a perennial topic of inspiration and importance throughout the history of philosophy and mathematics. Despite this fact, surprisingly little attention has been given to research in learning and teaching number theory per se. This volume is an attempt to redress this matter and to serve as a launch point for further research in this area. Drawing on work from an international group of researchers in mathematics education, this volume is a collection of clinical and classroom-based studies in cognition and instruction on learning and teaching number theory. Although...
Number theory has been a perennial topic of inspiration and importance throughout the history of philosophy and mathematics. Despite this fact, sur...
Number theory has been a perennial topic of inspiration and importance throughout the history of philosophy and mathematics. Despite this fact, surprisingly little attention has been given to research in learning and teaching number theory per se. This volume is an attempt to redress this matter and to serve as a launch point for further research in this area. Drawing on work from an international group of researchers in mathematics education, this volume is a collection of clinical and classroom-based studies in cognition and instruction on learning and teaching number theory. Although...
Number theory has been a perennial topic of inspiration and importance throughout the history of philosophy and mathematics. Despite this fact, sur...
This book presents storytelling in mathematics as a medium for creating a classroom in which mathematics is appreciated, understood, and enjoyed. The authors demonstrate how students' mathematical activity can be engaged via storytelling. Readers are introduced to many mathematical stories of different kinds, such as stories that provide a frame or a background to mathematical problems, stories that deeply intertwine with the content, and stories that explain concepts or ideas. Moreover, the authors present a framework for creating new stories, ideas for using and enriching existing stories,...
This book presents storytelling in mathematics as a medium for creating a classroom in which mathematics is appreciated, understood, and enjoyed. The ...
The idea of teachers Learning through Teaching (LTT) when presented to a naive bystander appears as an oxymoron. Are we not supposed to learn before we teach? After all, under the usual circumstances, learning is the task for those who are being taught, not of those who teach. However, this book is about the learning of teachers, not the learning of students. It is an ancient wisdom that the best way to truly learn something is to teach it to others. Nevertheless, once a teacher has taught a particular topic or concept and, consequently, truly learned it, what is left for this teacher to...
The idea of teachers Learning through Teaching (LTT) when presented to a naive bystander appears as an oxymoron. Are we not supposed to learn before w...
This book is grounded in the author's experiences of teaching mathematics for prospective elementary school teachers and conducting research on their understanding of mathematical concepts. It is a reflection on practice and an attempt to cope with a double challenge: that of a teacher, in helping prospective teachers make sense of mathematics, and that of a researcher, in an attempt to understand and describe the challenges faced by students. This work fits within the current community interest on teacher education and provides a novel focus, with both theoretical and practical...
This book is grounded in the author's experiences of teaching mathematics for prospective elementary school teachers and conducting research on their ...
The idea of teachers Learning through Teaching (LTT) when presented to a naive bystander appears as an oxymoron. Are we not supposed to learn before we teach? After all, under the usual circumstances, learning is the task for those who are being taught, not of those who teach. However, this book is about the learning of teachers, not the learning of students. It is an ancient wisdom that the best way to truly learn something is to teach it to others. Nevertheless, once a teacher has taught a particular topic or concept and, consequently, truly learned it, what is left for this teacher to...
The idea of teachers Learning through Teaching (LTT) when presented to a naive bystander appears as an oxymoron. Are we not supposed to learn before w...
Lesson play is a novel construct in research and teachers' professional development in mathematics education. Lesson play refers to a lesson or part of a lesson presented in dialogue form--inspired in part by Lakatos's evocative Proofs and Refutations--featuring imagined interactions between a teacher and her/his students. We have been using and refining our use of this tool for a number of years and using it in a variety of situations involving mathematics thinking and learning. The goal of this proposed book is to offer a comprehensive survey of the affordances of the tool, the results of...
Lesson play is a novel construct in research and teachers' professional development in mathematics education. Lesson play refers to a lesson or part o...
Lesson play is a novel construct in research and teachers professional development in mathematics education. Lesson play refers to a lesson or part of a lesson presented in dialogue form inspired in part by Lakatos s evocative Proofs and Refutations featuring imagined interactions between a teacher and her/his students. We have been using and refining our use of this tool for a number of years and using it in a variety of situations involving mathematics thinking and learning. The goal of this proposed book is to offer a comprehensive survey of the affordances of the tool, the results of our...
Lesson play is a novel construct in research and teachers professional development in mathematics education. Lesson play refers to a lesson or part of...