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Mathematics education in the age of artificial intelligencehow artificial intelligence can serve mathematical human learning /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Mathematics education in the age of artificial intelligenceedited by Philippe R. Richard, M. Pilar Velez, Steven Van Vaerenbergh.
其他題名:	how artificial intelligence can serve mathematical human learning /
其他作者:	Richard, Philippe R.
出版者:	Cham :Springer International Publishing :2022.
面頁冊數:	xxiii, 450 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	MathematicsStudy and teaching
電子資源:	https://doi.org/10.1007/978-3-030-86909-0
ISBN:	9783030869090$q(electronic bk.)

Mathematics education in the age of artificial intelligencehow artificial intelligence can serve mathematical human learning /
Mathematics education in the age of artificial intelligencehow artificial intelligence can serve mathematical human learning /[electronic resource] :edited by Philippe R. Richard, M. Pilar Velez, Steven Van Vaerenbergh. - Cham :Springer International Publishing :2022. - xxiii, 450 p. :ill., digital ;24 cm. - Mathematics education in the digital era,v. 172211-8144 ;. - Mathematics education in the digital era ;v.2..

Part I: Creation of AI milieus to work on mathematics -- Chapter 1. Evolution of automatic proving and reasoning technologies and dynamics in geometry -- Chapter 2. Exploring dynamic geometry through immersive virtual reality -- Chapter 3. Computing power and automated reasoning tools for performing mathematical work -- Chapter 4. Designing atutorial system for learning mathematics -- Chapter 5. Technological innovations in math education to foster creativities in schools in the era of artificial intelligence -- Part II: AI-supported learning of mathematics -- Chapter 6. Classroom Implementation of STEAM Education through IA and other technology -- Chapter 7. Understanding and creating to better understand instrumented reasoning using tools and IA devices -- Chapter 8. Automated exploration in mathematics -- Chapter 9. Artificial intelligence and mathematics working over monuments and other realities -- Chapter 10. Emerging technologies and emerging types of learning in mathematics education -- Part III: Coordinating "usual" paper/pencil techniques and "new" AI-aided educational working spaces -- Chapter 11. Digital technology and its various uses from the instrumental perspective -- Chapter 12. Innovative CAS technology use in mathematics teaching and assessment -- Chapter 13. Learning itineraries in pre-service teachereducation -- Chapter 14. One method of trisecting an angle and its interpretation for teaching purposes using a dynamic geometry and computer algebra system -- Chapter 15. Rearrangement method for area of a circle: complex paths from historical roots to modern visual and dynamic models in discovery-based teaching approach -- Chapter 16. Teaching Programming to Mathematical Scientists -- Conclusion.

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.

ISBN: 9783030869090$q(electronic bk.)

Standard No.: 10.1007/978-3-030-86909-0doiSubjects--Topical Terms:

618272
Mathematics
--Study and teaching

LC Class. No.: QA20.C65 / M37 2022

Dewey Class. No.: 510.71

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505 0 $a Part I: Creation of AI milieus to work on mathematics -- Chapter 1. Evolution of automatic proving and reasoning technologies and dynamics in geometry -- Chapter 2. Exploring dynamic geometry through immersive virtual reality -- Chapter 3. Computing power and automated reasoning tools for performing mathematical work -- Chapter 4. Designing atutorial system for learning mathematics -- Chapter 5. Technological innovations in math education to foster creativities in schools in the era of artificial intelligence -- Part II: AI-supported learning of mathematics -- Chapter 6. Classroom Implementation of STEAM Education through IA and other technology -- Chapter 7. Understanding and creating to better understand instrumented reasoning using tools and IA devices -- Chapter 8. Automated exploration in mathematics -- Chapter 9. Artificial intelligence and mathematics working over monuments and other realities -- Chapter 10. Emerging technologies and emerging types of learning in mathematics education -- Part III: Coordinating "usual" paper/pencil techniques and "new" AI-aided educational working spaces -- Chapter 11. Digital technology and its various uses from the instrumental perspective -- Chapter 12. Innovative CAS technology use in mathematics teaching and assessment -- Chapter 13. Learning itineraries in pre-service teachereducation -- Chapter 14. One method of trisecting an angle and its interpretation for teaching purposes using a dynamic geometry and computer algebra system -- Chapter 15. Rearrangement method for area of a circle: complex paths from historical roots to modern visual and dynamic models in discovery-based teaching approach -- Chapter 16. Teaching Programming to Mathematical Scientists -- Conclusion.
520 $a 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.
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