{"title":"Lyn English","description":null,"products":[{"product_id":"mathematical-reasoning-book-lyn-d-english-9780805819793","title":"Mathematical Reasoning","description":"How we reason with mathematical ideas continues to be a fascinating and challenging topic of research--particularly with the rapid and diverse developments in the field of cognitive science that have taken place in recent years. Because it draws on multiple disciplines, including psychology, philosophy, computer science, linguistics, and anthropology, cognitive science provides rich scope for addressing issues that are at the core of mathematical learning.    Drawing upon the interdisciplinary nature of cognitive science, this book presents a broadened perspective on mathematics and mathematical reasoning. It represents a move away from the traditional notion of reasoning as \"abstract\" and \"disembodied\", to the contemporary view that it is \"embodied\" and \"imaginative.\" From this perspective, mathematical reasoning involves reasoning with structures that emerge from our bodily experiences as we interact with the environment; these structures extend beyond finitary propositional representations. Mathematical reasoning is imaginative in the sense that it utilizes a number of powerful, illuminating devices that structure these concrete experiences and transform them into models for abstract thought. These \"thinking tools\"--analogy, metaphor, metonymy, and imagery--play an important role in mathematical reasoning, as the chapters in this book demonstrate, yet their potential for enhancing learning in the domain has received little recognition.    This book is an attempt to fill this void. Drawing upon backgrounds in mathematics education, educational psychology, philosophy, linguistics, and cognitive science, the chapter authors provide a rich and comprehensive analysis of mathematical reasoning. New and exciting perspectives are presented on the nature of mathematics (e.g., \"mind-based mathematics\"), on the array of powerful cognitive tools for reasoning (e.g., \"analogy and metaphor\"), and on the different ways these tools can facilitate mathematical reasoning. Examples are drawn from the reasoning of the preschool child to that of the adult learner.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50130897928465,"sku":"CIN0805819797G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52502581608721,"sku":"NLS9780805819793","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":53365895069969,"sku":"NIN9780805819793","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0805819797.jpg?v=1751107064"},{"product_id":"mathematical-and-analogical-reasoning-of-young-learners-book-lyn-d-english-9780805849455","title":"Mathematical and Analogical Reasoning of Young Learners","description":"Mathematical and Analogical Reasoning of Young Learners provides foundational knowledge of the nature, development, and assessment of mathematical and analogical reasoning in young children. Reasoning is fundamental to understanding mathematics and is identified as one of the 10 key standards for school mathematics for the new millennium. The book draws on longitudinal and cross-cultural studies, conducted in the United States and Australia, of children's reasoning development as they progressed from preschool through the end of second grade.    The multifaceted analysis of young children's development of mathematical and analogical reasoning focuses on individual learners, their learning environments, and the interaction between the two. The multidisciplinary team of authors present multiple perspectives and multiple methodologies, and provide valuable information on organizing and sustaining interdisciplinary and cross-cultural inquiry. Key issues addressed include:   *the relationship between mathematical and analogical reasoning;   *how changes in children's reasoning relate to the implicit instruction they receive in their classrooms;   *analyses of the participating teachers' knowledge, beliefs, and practices with respect to mathematical and analogical reasoning of young learners; and   *ways in which we might promote development of mathematical and analogical reasoning in young children.    This volume is highly relevant for mathematics educators, researchers in mathematics education, educational psychologists, early childhood teachers, and others interested in mathematical development of young children, in particular, the development of their reasoning processes.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50150048170257,"sku":"CIN0805849459G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ LIKE_NEW \/ INTERNAL","offer_id":50335507611921,"sku":"GOR013932384","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":52329701277969,"sku":"CIN0805849459VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52583127974161,"sku":"NLS9780805849455","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/B01LQEIMXA.jpg?v=1751264978"},{"product_id":"early-engineering-learning-book-lyn-english-9789811342011","title":"Early Engineering Learning","description":"This book addresses engineering learning in early childhood, spanning ages 3 to 8 years. It explores why engineering experiences are important in young children's overall development and how engineering is a core component of early STEM learning, including how engineering education links and supports children's existing experiences in science, mathematics, and design and technology, both before school and in the early school years.  Promoting STEM education across the school years is a key goal of many nations, with the realization that building STEM skills required by societies takes time and needs to begin as early as possible. Despite calls from national and international organisations, the inclusion of engineering-based learning within elementary and primary school programs remains limited in many countries. Engineering experiences for young children in the pre-school or early school years has received almost no attention, even though young children can be considered natural engineers.   This book addresses this void by exposing what we know about engineering for young learners, including their capabilities for solving engineering-based problems and the (few) existing programs that are capitalising on their potential.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51222679519505,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51222679847185,"sku":"NIN9789811342011","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52585204384017,"sku":"NLS9789811342011","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9811342016.jpg?v=1750936284"},{"product_id":"early-engineering-learning-book-lyn-english-9789811086205","title":"Early Engineering Learning","description":"This book addresses engineering learning in early childhood, spanning ages 3 to 8 years. 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