[PDF] The Objective Or Synthetic Arithmetic In Which The Science Is Learned From The Art eBook

Author : Vittorio Capecchi
Publisher : Springer Science & Business Media
Page : 616 pages
File Size : 31,33 MB
Release : 2010-08-03
Category : Social Science
ISBN : 9048185815

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The book shows a very original organization addressing in a non traditional way, but with a systematic approach, to who has an interest in using mathematics in the social sciences. The book is divided in four parts: (a) a historical part, written by Vittorio Capecchi which helps us understand the changes in the relationship between mathematics and sociology by analyzing the mathematical models of Paul F. Lazarsfeld, the model of simulation and artificial societies, models of artificial neural network and considering all the changes in scientific paradigms considered; (b) a part coordinated by Pier Luigi Contucci on mathematical models that consider the relationship between the mathematical models that come from physics and linguistics to arrive at the study of society and those which are born within sociology and economics; (c) a part coordinated by Massimo Buscema analyzing models of artificial neural networks; (d) a part coordinated by Bruno D’Amore which considers the relationship between mathematics and art. The title of the book "Mathematics and Society" was chosen because the mathematical applications exposed in the book allow you to address two major issues: (a) the general theme of technological innovation and quality of life (among the essays are on display mathematical applications to the problems of combating pollution and crime, applications to mathematical problems of immigration, mathematical applications to the problems of medical diagnosis, etc.) (b) the general theme of technical innovation and creativity, for example the art and mathematics section which connects to the theme of creative cities. The book is very original because it is not addressed only to those who are passionate about mathematical applications in social science but also to those who, in different societies, are: (a) involved in technological innovation to improve the quality of life; (b) involved in the wider distribution of technological innovation in different areas of creativity (as in the project "Creative Cities Network" of UNESCO).

Author : Philippe R. Richard
Publisher : Springer Nature
Page : 464 pages
File Size : 42,75 MB
Release : 2022-03-09
Category : Education
ISBN : 3030869091

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This book highlights the contribution of artificial intelligence for mathematics education. It provides concrete ideas supported by mathematical work obtained through dynamic international collaboration, and discusses the flourishing of new mathematics in the contemporary world from a sustainable development perspective. Over the past thirty years, artificial intelligence has gradually infiltrated all facets of society. When it is deployed in interaction with the human designer or user, AI certainly raises new ethical questions. But as soon as it aims to augment intelligence in a kind of human-machine partnership, it goes to the heart of knowledge development and the very performance of work. The proposed themes and the sections of the book address original issues relating to the creation of AI milieus to work on mathematics, to the AI-supported learning of mathematics and to the coordination of « usual » paper/pencil techniques and « new » AI-aided educational working spaces. The authors of the book and the coordinators of each section are all established specialists in mathematics didactics, mathematics and computer science. In summary, this book is a must-read for everyone interested in the teaching and learning of mathematics, and it concerns the interaction between the human and the machine in both directions. It contains ideas, questions and inspiration that invite to take up the challenge of Artificial Intelligence contributing to Mathematical Human Learning.

Author : Ron Berger
Publisher : John Wiley & Sons
Page : 434 pages
File Size : 21,78 MB
Release : 2016-02-17
Category : Education
ISBN : 1119253543

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A practical guide to deeper instruction—a framework for challenging, engaging, and empowering students of all ages For schools to meet ambitious new standards and prepare all students for college, careers, and life, research has shown unequivocally that nothing is more important that the quality of daily instruction. Learning That Lasts presents a new vision for classroom instruction that sharpens and deepens the quality of lessons in all subject areas. It is the opposite of a 'teacher-proof' solution. Instead, it is predicated on a model of instruction that honors teachers as creative and expert planners of learning experiences for their students and who wish to continuously grow in their instructional and content knowledge. It is not a theoretical vision. It is a model of instruction refined in some of the nation's most successful public schools—schools that are beating the odds to create remarkable achievement—sited primarily in urban and rural low-income communities. Using case studies and examples of powerful learning at all grade levels and in all disciplines, Learning That Lasts is a guide to creating classrooms that promote deeper understanding, higher order thinking, and student independence. Through text and companion videos, readers will enter inspiring classrooms where students go beyond basics to become innovators, collaborators, and creators. Learning That Lasts embraces a three-dimensional view of student achievement that includes mastery of knowledge and skills, character, and high-quality work. It is a guide for teachers who wish to make learning more meaningful, memorable, and connected to life, and inspire students to do more than they think possible.