Matem Tica Educativa

Author: Crisólogo Dolores
Publisher: Ediciones Díaz de Santos
ISBN: 8479787864
Size: 53.86 MB
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Para escribir este libro, los editores convocaron a diversos colegas de la comunidad mexicana de investigadores de Matemática Educativa para proponer escritos que persiguieran el objetivo de introducir al lector a la complejidad de laproblemática que atiende la Matemática Educativa. El método sugerido fue partir de la experiencia cotidiana del profesor, para de ahí llevarlo a una reflexión sistemática producto de la investigación en donde son incluidas propuestaspara utilizarse en el aula.INDICE RESUMIDO: La integral definida: un enfoque socioepistemológico. Rediseño del Cálculo Integral escolar fundamentado en la predicción. Lo periódico: una revisión en el marco de la Socioepistemología. Un estudio didáctico relativoa la noción de convergencia. Sobre la naturaleza y los significados de los exponentes. La derivada y el Cálculo. Visualización y generalizaciones: el casode la determinación de lugares geométricos.etc

Revisiting Mathematics Education

Author: Hans Freudenthal
Publisher: Springer Science & Business Media
ISBN: 0306472023
Size: 31.97 MB
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This book is a product of love and respect. If that sounds rather odd I initially apologise, but let me explain why I use those words. The original manuscript was of course Freudenthal’s, but his colleagues have carried the project through to its conclusion with love for the man, and his ideas, and with a respect developed over years of communal effort. Their invitation to me to write this Preface e- bles me to pay my respects to the great man, although I am probably incurring his wrath for writing a Preface for his book without his permission! I just hope he understands the feelings of all colleagues engaged in this particular project. Hans Freudenthal died on October 13th, 1990 when this book project was well in hand. In fact he wrote to me in April 1988, saying “I am thinking about a new book. I have got the sub-title (China Lectures) though I still lack a title”. I was astonished. He had retired in 1975, but of course he kept working. Then in 1985 we had been helping him celebrate his 80th birthday, and although I said in an Editorial Statement in Educational Studies in Mathematics (ESM) at the time “we look forward to him enjoying many more years of non-retirement” I did not expect to see another lengthy manuscript.

Posing And Solving Mathematical Problems

Author: Patricio Felmer
Publisher: Springer
ISBN: 3319280236
Size: 52.99 MB
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This book collects recent research on posing and solving mathematical problems. Rather than treating these two crucial aspects of school mathematics as separate areas of study, the authors approach them as a unit where both areas are measured on equal grounds in relation to each other. The contributors are from a vast variety of countries and with a wide range of experience; it includes the work from many of the leading researchers in the area and an important number of young researchers. The book is divided in three parts, one directed to new research perspectives and the other two directed to teachers and students, respectively.

Intuition In Science And Mathematics

Author: H. Fischbein
Publisher: Springer Science & Business Media
ISBN: 0306472376
Size: 69.22 MB
Format: PDF, Mobi
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In writing the present book I have had in mind the following objectives: - To propose a theoretical, comprehensive view of the domain of intuition. - To identify and organize the experimental findings related to intuition scattered in a wide variety of research contexts. - To reveal the educational implications of the idea, developed for science and mathematics education. Most of the existing monographs in the field of intuition are mainly concerned with theoretical debates - definitions, philosophical attitudes, historical considerations. (See, especially the works of Wild (1938), of Bunge (1 962) and of Noddings and Shore (1 984).) A notable exception is the book by Westcott (1968), which combines theoretical analyses with the author’s own experimental studies. But, so far, no attempt has been made to identify systematically those findings, spread throughout the research literature, which could contribute to the deciphering of the mechanisms of intuition. Very often the relevant studies do not refer explicitly to intuition. Even when this term is used it occurs, usually, as a self-evident, common sense term.

Theory Of Didactical Situations In Mathematics

Author: Guy Brousseau
Publisher: Springer Science & Business Media
ISBN: 0306472112
Size: 63.87 MB
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This book is unique. It gathers texts which give the best presentation of the principles and key concepts of the Theory of Didactical Situations that Guy Brousseau developed in the period from 1970 to 1990. These texts provide a comprehensive presentation of the Theory. In order to facilitate the reading of certain points footnotes have been added, as well as preludes and interludes to place in context the chosen texts and clarify the construction of the book.

Educational Algebra

Author: Eugenio Filloy
Publisher: Springer Science & Business Media
ISBN: 0387712542
Size: 12.36 MB
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This book takes a theoretical perspective on the study of school algebra, in which both semiotics and history occur. The Methodological design allows for the interpretation of specific phenomena and the inclusion of evidence not addressed in more general treatments. The book gives priority to "meaning in use" over "formal meaning". These approaches and others of similar nature lead to a focus on competence rather than a user’s activity with mathematical language.

Advanced Mathematical Thinking

Author: David Tall
Publisher: Springer Science & Business Media
ISBN: 0306472031
Size: 30.12 MB
Format: PDF, Kindle
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This book is the first major study of advanced mathematical thinking as performed by mathematicians and taught to students in senior high school and university. Topics covered include the psychology of advanced mathematical thinking, the processes involved, mathematical creativity, proof, the role of definitions, symbols, and reflective abstraction. It is highly appropriate for the college professor in mathematics or the general mathematics educator.