Proof Technology in Mathematics Research and Teaching | TheBookSeekers

Proof Technology in Mathematics Research and Teaching


Mathematics Education in the Digital Era

, ,

No. of pages 379

Published: 2020

Add this book to your 'I want to read' list!

By clicking here you can add this book to your favourites list. If it is in your School Library it will show up on your account page in colour and you'll be able to download it from there. If it isn't in your school library it will still show up but in grey - that will tell us that maybe it is a book we should add to your school library, and will also remind you to read it if you find it somewhere else!

This book presents chapters exploring the most recent developments in the role of technology in proving. The full range of topics related to this theme are explored, including computer proving, digital collaboration among mathematicians, mathematics teaching in schools and universities, and the use of the internet as a site of proof learning. Proving is sometimes thought to be the aspect of mathematical activity most resistant to the influence of technological change. While computational methods are well known to have a huge importance in applied mathematics, there is a perception that mathematicians seeking to derive new mathematical results are unaffected by the digital era. The reality is quite different. Digital technologies have transformed how mathematicians work together, how proof is taught in schools and universities, and even the nature of proof itself. Checking billions of cases in extremely large but finite sets, impossible a few decades ago, has now become a standard method of proof. Distributed proving, by teams of mathematicians working independently on sections of a problem, has become very much easier as digital communication facilitates the sharing and comparison of results. Proof assistants and dynamic proof environments have influenced the verification or refutation of conjectures, and ultimately how and why proof is taught in schools. And techniques from computer science for checking the validity of programs are being used to verify mathematical proofs. Chapters in this book include not only research reports and case studies, but also theoretical essays, reviews of the state of the art in selected areas, and historical studies. The authors are experts in the field.

 

 

This book is part of a book series called Mathematics Education in the Digital Era .

There are 379 pages in this book. This book was published in 2020 by Springer Nature Switzerland AG .

 

This book is in the following series:

Mathematics Education in the Digital Era