The Handbook of Mathematical Cognition PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Handbook of Mathematical Cognition PDF full book. Access full book title The Handbook of Mathematical Cognition by Jamie I.D. Campbell. Download full books in PDF and EPUB format.
Author: Jamie I.D. Campbell
Publisher: Psychology Press
ISBN: 1135423652
Category : Psychology
Languages : en
Pages : 528
Get Book Here
Book Description
How does the brain represent number and make mathematical calculations? What underlies the development of numerical and mathematical abilities? What factors affect the learning of numerical concepts and skills? What are the biological bases of number knowledge? Do humans and other animals share similar numerical representations and processes? What underlies numerical and mathematical disabilities and disorders, and what is the prognosis for rehabilitation? These questions are the domain of mathematical cognition, the field of research concerned with the cognitive and neurological processes that underlie numerical and mathematical abilities. The Handbook of Mathematical Cognition is a collection of 27 essays by leading researchers that provides a comprehensive review of this important research field.
Author: Jamie I.D. Campbell
Publisher: Psychology Press
ISBN: 1135423652
Category : Psychology
Languages : en
Pages : 528
Get Book Here
Book Description
How does the brain represent number and make mathematical calculations? What underlies the development of numerical and mathematical abilities? What factors affect the learning of numerical concepts and skills? What are the biological bases of number knowledge? Do humans and other animals share similar numerical representations and processes? What underlies numerical and mathematical disabilities and disorders, and what is the prognosis for rehabilitation? These questions are the domain of mathematical cognition, the field of research concerned with the cognitive and neurological processes that underlie numerical and mathematical abilities. The Handbook of Mathematical Cognition is a collection of 27 essays by leading researchers that provides a comprehensive review of this important research field.
Author: K.P Gravemeijer
Publisher: Springer Science & Business Media
ISBN: 9401731942
Category : Education
Languages : en
Pages : 304
Get Book Here
Book Description
This book explores the option of building on symbolizing, modeling and tool use as personally meaningful activities of students. It discusses the dimension of setting: varying from the study of informal, spontaneous activity of students, to an explicit focus on instructional design, and goals and effects of instruction; and the dimension of the theoretical framework of the researcher: varying from constructivism, to activity theory, cognitive psychology and instructional-design theory.
Author: Eric Vandendriessche
Publisher: Springer Nature
ISBN: 3030974820
Category : Education
Languages : en
Pages : 293
Get Book Here
Book Description
The book presents a series of ethnographic studies, which illustrate issues of wider importance, such as the role of cultural traditions, concepts and learning procedures in the development of formal (or mathematical) thinking outside of the western tradition. It focuses on research at the crossroads of anthropology and ethnomathematics to document indigenous mathematical knowledge and its inclusion in specific cultural patterns. More generally, the book demonstrates the heuristic value of crossing ethnographical, anthropological and ethnomathematical approaches to highlight and analyze—or "formalize" with a pedagogical outlook—indigenous mathematical knowledge. The book is divided into three parts. The first part extensively analyzes theoretical claims using particular ethnographic data, while revealing the structural mathematical features of different ludic, graphic, or technical/procedural practices in their links to other cultural phenomena. In the second part, new empirical studies that add data and perspectives from the body of studies on indigenous knowledge systems to the ongoing discussions in mathematics education in and for diverse cultural traditions are presented. This part considers, on the one hand, the Brazilian work in this field; on the other hand, it brings ethnographic innovation from other parts of the world. The third part comprises a broad philosophical discussion of the impact of intuitive or "ontological" premises on mathematical thinking and education in the light of recent developments within so-called indigenously inspired thinking. Finally, the editors’ conclusions aim to invite the broad and diversified field of scholars in this domain of research to seek alternative approaches for understanding mathematical reasoning and the adjacent adequate educational goals and means. This book is of interest to scholars and students in anthropology, ethnomathematics, history and philosophy of science, mathematics, and mathematics education, as well as other individuals interested in these topics.
Author: Douglas R Hofstadter
Publisher: Basic Books
ISBN: 0465021581
Category : Philosophy
Languages : en
Pages : 594
Get Book Here
Book Description
Analogy is the core of all thinking. This is the simple but unorthodox premise that Pulitzer Prize -- winning author Douglas Hofstadter and French psychologist Emmanuel Sander defend in their new work. Hofstadter has been grappling with the mysteries of human thought for over thirty years. Now, with his trademark wit and special talent for making complex ideas vivid, he has partnered with Sander to put forth a highly novel perspective on cognition. We are constantly faced with a swirling and intermingling multitude of ill-defined situations. Our brain's job is to try to make sense of this unpredictable, swarming chaos of stimuli. How does it do so? The ceaseless hail of input triggers analogies galore, helping us to pinpoint the essence of what is going on. Often this means the spontaneous evocation of words, sometimes idioms, sometimes the triggering of nameless, long-buried memories. Why did two-year-old Camille proudly exclaim, "I undressed the banana!"? Why do people who hear a story often blurt out, "Exactly the same thing happened to me!" when it was a completely different event? How do we recognize an aggressive driver from a split-second glance in our rearview mirror? What in a friend's remark triggers the offhand reply, "That's just sour grapes"? What did Albert Einstein see that made him suspect that light consists of particles when a century of research had driven the final nail in the coffin of that long-dead idea? The answer to all these questions, of course, is analogy-making -- the meat and potatoes, the heart and soul, the fuel and fire, the gist and the crux, the lifeblood and the wellsprings of thought. Analogy-making, far from happening at rare intervals, occurs at all moments, defining thinking from top to toe, from the tiniest and most fleeting thoughts to the most creative scientific insights. Like Gö, Escher, Bach before it, Surfaces and Essences will profoundly enrich our understanding of our own minds. By plunging the reader into an extraordinary variety of colorful situations involving language, thought, and memory, by revealing bit by bit the constantly churning cognitive mechanisms normally completely hidden from view, and by discovering in them one central, invariant core -- the incessant, unconscious quest for strong analogical links to past experiences -- this book puts forth a radical and deeply surprising new vision of the act of thinking.
Author: Rémi Brissiaud (professeur).)
Publisher:
ISBN: 9782725643618
Category :
Languages : fr
Pages : 0
Get Book Here
Book Description
Manuel de lutte contre l'échec en mathématiques, l'ouvrage redéfinit les notions de quantité et de nombre en interrogeant les acquis de la recherche internationale en psychologie cognitive et en didactique des mathématiques, dans le sillage des grands précurseurs que sont Vygotski et Piaget. Articulant versant scientifique et pédagogique, il présente des pistes concrètes pour améliorer les permiers apprentissages numériques et répondre aux questions pédagogiques les plus vives en la matière : à quel âge et comment enseigner le comptage à l'école maternelle ? Coment enseigner le sens des opérations au cours préparatoire ? Comment s'assurer que les enfants ne sont pas enfermés dans des stratégies trompeuses et qu'ils "rentrent"correctement dans le nombre ?
Author: Rémi Brissiaud
Publisher: Retz
ISBN: 2725663040
Category : Education
Languages : fr
Pages : 344
Get Book Here
Book Description
Un livre incontournable pour tous ceux qui veulent comprendre l'évolution des pratiques pédagogiques durant ces 15 dernières années, ainsi que les débats passés et actuels en pédagogie et en psychologie développementale du nombre. Paru en 1989 et rapidement traduit en espagnol et portugais, "Comment les enfants apprennent à calculer" à rencontrer un succès international. La présente édition contient un essai introductif inédit qui fait le point due 15 ans de recherche en psychologie développementale concernant le rôle du langage, des représentations figurées et du calcul dans la conceptualisation des nombres. Analysant les processus d'abstraction qui sonduident à cette conceptualisation, l'auteur affine le cadre théorique en expliquant pourquoi les pratiques langagières et l'usage de représentations figurées tantôt favorisent le progrès, tantôt lui font obstacle. Cette théorie apporte des réponses convaicantes à certaines quesitons vives de la recherche en psychologie du nombre comme : - Pourquoi les élèves asiatiques surpassent-ils généralement leurs congénères occidentaux ? - Faut-il prendre au sérieux certaines recherches montrant que, par leurs pratiques pédagogiques, les enseignants occidentaux peuvent amener leurs élèves au niveau des enfants asiatiques ?
Author: Rémi Brissiaud
Publisher:
ISBN: 9782725622323
Category : Arithmetic
Languages : fr
Pages : 287
Get Book Here
Book Description
Paru en 1989 et rapidement traduit en espagnol et portugais, Comment les enfants apprennent à calculer a rencontré un succès international. A contre-courant des idées dominantes à l'époque, cet ouvrage soulignait que l'enseignement précoce du comptage joue un rôle ambivalent dans le progrès des enfants. L'auteur y analysait l'importance des dialogues où ni l'éducateur ni l'enfant ne comptent. Par exemple, ceux où l'adulte construit une " collection-témoin " de 3 doigts tout en disant à un enfant de petite section : " Tu vois, il y a 3 crayons : un, un et encore un ; ça fait 3 ". De même, il soulignait l'importance du calcul réfléchi à l'école élémentaire. Dès lors, les idées développées dans Comment les enfants apprennent à calculer ont exercé une forte influence sur les pratiques pédagogiques des enseignants des écoles maternelles et élémentaires. La présente édition de l'ouvrage contient un essai introductif inédit qui fait le point sur 15 ans de recherche en psychologie développementale concernant le rôle du langage, des représentations figurées et du calcul dans la conceptualisation des nombres. Analysant les processus d'abstraction qui conduisent à cette conceptualisation, l'auteur affine le cadre théorique de Comment les enfants apprennent à calculer en expliquant pourquoi les pratiques langagières et L'usage de représentations figurées tantôt favorisent a le progrès, tantôt lui font obstacle. Cette théorie apporte des réponses convaincantes à certaines questions vives de la recherche en psychologie du nombre, comme : Pourquoi les élèves asiatiques surpassent-ils généralement leurs congénères occidentaux ? Faut-il prendre au sérieux certaines recherches montrant que, par leurs pratiques pédagogiques, les enseignants occidentaux peuvent amener Leurs élèves au niveau des enfants asiatiques ? Un livre incontournable pour tous ceux qui veulent comprendre l'évolution des pratiques pédagogiques durant ces 15 dernières années, ainsi que les débats passés et actuels en pédagogie et en psychologie développementale du nombre.
Author: Jacqueline Bideaud
Publisher: Psychology Press
ISBN: 1134762860
Category : Psychology
Languages : en
Pages : 399
Get Book Here
Book Description
This volume celebrates the 50th anniversary of the famous and influential work of Jean Piaget and Alina Szeminska, The Child's Conception of Number. It is a tribute to those two authors as well as to the entire Geneva school that pioneered the genetic study of cognitive structures in children. Dealing with the process of the child's construction of the notion of number -- a very important subject for the child as well as for the teacher, the researcher, and the practicing psychologist -- it summarizes the progress that has been made and outlines new research directions in this area. The book is a compilation of the work of the foremost international researchers in this area and includes a wide spectrum of viewpoints and schools of thought. It also introduces several new authors from Europe, including students of Piaget, to the American academic community.
Author:
Publisher: Odile Jacob
ISBN: 2738169996
Category :
Languages : en
Pages : 899
Get Book Here
Book Description
Author: Rémi Brissiaud
Publisher:
ISBN:
Category :
Languages : fr
Pages : 192
Get Book Here
Book Description
