Piaget’s Genetic Epistemology for Mathematics Education Research - 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 Piaget’s Genetic Epistemology for Mathematics Education Research write by Paul Christian Dawkins. This book was released on 2024-01-22. Piaget’s Genetic Epistemology for Mathematics Education Research available in PDF, EPUB and Kindle. The book provides an entry point for graduate students and other scholars interested in using the constructs of Piaget’s genetic epistemology in mathematics education research. Constructs comprising genetic epistemology form the basis for some of the most well-developed theoretical frameworks available for characterizing learning, particularly in mathematics. The depth and complexity of Piaget’s work can make it challenging to find adequate entry points for learners, not least because it requires a reorientation regarding the nature of mathematical knowledge itself. This volume gathers leading scholars to help address that challenge. The main section of the book presents key Piagetian constructs for mathematics education research such as schemes and operations, figurative and operative thought, images and meanings, and decentering. The chapters that discuss these constructs include examples from research and address how these constructs can be used in research. There are two chapters on various types of reflective abstraction, because this construct is Piaget’s primary tool for characterizing the advancement of knowledge. The later sections of the book contain commentaries reflecting on the contributions of the body of theory developed in the first section. They connect genetic epistemology to current research domains such as equity and the latest in educational psychology. Finally, the book closes with short chapters portraying how scholars are using these tools in specific arenas of mathematics education research, including in special education, early childhood education, and statistics education.
How Children Learn Mathematics
How Children Learn 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 How Children Learn Mathematics write by Richard W. Copeland. This book was released on 1974. How Children Learn Mathematics available in PDF, EPUB and Kindle.
Piaget's Genetic Epistemology of Mathematics
Piaget's Genetic Epistemology 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 Piaget's Genetic Epistemology of Mathematics write by Dominic Joseph Balestra. This book was released on 1977. Piaget's Genetic Epistemology of Mathematics available in PDF, EPUB and Kindle.
Mathematical Epistemology and Psychology
Mathematical Epistemology and Psychology - 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 Epistemology and Psychology write by E.W. Beth. This book was released on 2013-03-09. Mathematical Epistemology and Psychology available in PDF, EPUB and Kindle. One of the controversial philosophical issues of recent years has been the question of the nature of logical and mathematical entities. Platonist or linguistic modes of explanation have become fashionable, whilst abstrac tionist and constructionist theories have ceased to be so. Beth and Piaget approach this problem in their book from two somewhat different points of view. Beth's approach is largely historico-critical, although he discusses the nature of heuristic thinking in mathematics, whilst that of Piaget is psycho-genetic. The major purpose of this introduction is to summarise some of the main points of their respective arguments. In the first part of this book Beth makes a detailed study of the history of philosophical thinking about mathematics, and draws our attention to the important role played by the Aristotelian methodology of the demon strative sciences. This, he tells us, is characterised by three postulates: (a) deductivity, (b) self-evidence, and (c) reality. The last postulate asserts that the primitive notions of a demonstrative science must have reference to a domain of real entities in order to have significance. On the Aristote lian view discursive reasoning plays a major role in mathematics, whilst pure intuition plays a somewhat subordinate one.
Principles of Genetic Epistemology
Principles of Genetic Epistemology - 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 Principles of Genetic Epistemology write by Jean Piaget. This book was released on 2013-07-04. Principles of Genetic Epistemology available in PDF, EPUB and Kindle. First published in 1997. Routledge is an imprint of Taylor & Francis, an informa company.
