A Systemic Perspective on Cognition and Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Systemic Perspective on Cognition and Mathematics write by Jeffrey Yi-Lin Forrest. This book was released on 2013-02-28. A Systemic Perspective on Cognition and Mathematics available in PDF, EPUB and Kindle. This book is devoted to the study of human thought, its systemic structure, and the historical development of mathematics both as a product of thought and as a fascinating case analysis. After demonstrating that systems research constitutes the second dimension of modern science, the monograph discusses the yoyo model, a recent ground-breaking deve
A Systemic Perspective on Cognition and Mathematics
A Systemic Perspective on Cognition and Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Systemic Perspective on Cognition and Mathematics write by Jeffrey Yi-Lin Forrest. This book was released on 2013-02-28. A Systemic Perspective on Cognition and Mathematics available in PDF, EPUB and Kindle. This book is devoted to the study of human thought, its systemic structure, and the historical development of mathematics both as a product of thought and as a fascinating case analysis. After demonstrating that systems research constitutes the second dimension of modern science, the monograph discusses the yoyo model, a recent ground-breaking development of systems research, which has brought forward revolutionary applications of systems research in various areas of the traditional disciplines, the first dimension of science. After the systemic structure of thought is factually revealed, mathematics, as a product of thought, is analyzed by using the age-old concepts of actual and potential infinities. In an attempt to rebuild the system of mathematics, this volume first provides a new look at some of the most important paradoxes, which have played a crucial role in the development of mathematics, in proving what these paradoxes really entail. Attention is then turned to constructing the logical foundation of two different systems of mathematics, one assuming that actual infinity is different than potential infinity, and the other that these infinities are the same. This volume will be of interest to academic researchers, students and professionals in the areas of systems science, mathematics, philosophy of mathematics, and philosophy of science.
Mathematical Cognition
Mathematical Cognition - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Cognition write by James M. Royer. This book was released on 2003-01-01. Mathematical Cognition available in PDF, EPUB and Kindle.
The Nature and Development of Mathematics
The Nature and Development of Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Nature and Development of Mathematics write by John Adams. This book was released on 2017-04-21. The Nature and Development of Mathematics available in PDF, EPUB and Kindle. From an infant’s first grasp of quantity to Einstein’s theory of relativity, the human experience of number has intrigued researchers for centuries. Numeracy and mathematics have played fundamental roles in the development of societies and civilisations, and yet there is an essential mystery to these concepts, evidenced by the fear many people still feel when confronted by apparently simple sums. Including perspectives from anthropology, education and psychology, The Nature and Development of Mathematics addresses three core questions: Is maths natural? What is the impact of our culture and environment on mathematical thinking? And how can we improve our mathematical ability? Examining the cognitive processes that we use, the origins of these skills and their cultural context, and how learning and teaching can be supported in the classroom, the book contextualises each issue within the wider field, arguing that only by taking a cross-disciplinary perspective can we fully understand what it means to be numerate, as well as how we become numerate in our modern world. This is a unique collection including contributions from a range of renowned international researchers. It will be of interest to students and researchers across cognitive psychology, cultural anthropology and educational research.
An Introduction to Mathematical Cognition
An Introduction to Mathematical Cognition - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Mathematical Cognition write by Camilla Gilmore. This book was released on 2018-06-13. An Introduction to Mathematical Cognition available in PDF, EPUB and Kindle. The last decade has seen a rapid growth in our understanding of the cognitive systems that underlie mathematical learning and performance, and an increased recognition of the importance of this topic. This book showcases international research on the most important cognitive issues that affect mathematical performance across a wide age range, from early childhood to adulthood. The book considers the foundational competencies of nonsymbolic and symbolic number processing before discussing arithmetic, conceptual understanding, individual differences and dyscalculia, algebra, number systems, reasoning and higher-level mathematics such as formal proof. Drawing on diverse methodology from behavioural experiments to brain imaging, each chapter discusses key theories and empirical findings and introduces key tasks used by researchers. The final chapter discusses challenges facing the future development of the field of mathematical cognition and reviews a set of open questions that mathematical cognition researchers should address to move the field forward. This book is ideal for undergraduate or graduate students of psychology, education, cognitive sciences, cognitive neuroscience and other academic and clinical audiences including mathematics educators and educational psychologists.
