Explanation and Proof in Mathematics: Philosophical and Educational Perspectives
by Gila Hanna
In the four decades since Imre Lakatos declared mathematics a “quasi-empirical science,” increasing attention has been paid to the process of proof and argumentation in the field — a development paralleled by the rise of computer technology and the mounting interest in the logical underpinnings of mathematics.Ê Explanantion and Proof in Mathematics assembles perspectives from mathematics education and from the philosophy and history of mathematics to strengthen mutual awareness and share recent findings and advances in their interrelated fields.Ê With examples ranging from the geometrists of the 17th century and ancient Chinese algorithms to cognitive psychology and current educational practice, contributors explore the role of refutation in generating proofs, the varied links between experiment and deduction, the use of diagrammatic thinking in addition to pure logic, and the uses of proof in mathematics education (including a critique of “authoritative” versus “authoritarian” teaching styles).A sampling of the coverage:The conjoint origins of proof and theoretical physics in ancient Greece.Proof as bearers of mathematical knowledge.Bridging knowing and proving in mathematical reasoning.The role of mathematics in long-term cognitive development of reasoning.Proof as experiment in the work of Wittgenstein.Relationships between mathematical proof, problem-solving, and explanation.Explanation and Proof in Mathematics is certain to attract a wide range of readers, including mathematicians, mathematics education professionals, researchers, students, and philosophers and historians of mathematics.
Textbooks are a great and affordable price! Will definitely buy again.
LOVe the free textbook offer
I sent a link to my classmates and was able to get my textbook for free. I wasn’t sure at first but thankful and happy I tried. I got to download the book immediately .
This Site is a Great Find for online books
I was skeptic at first due to the amazing price but ordered my first book. As soon as I completed my purchase the link was right there to download my book. Great quality and I will be checking back for more books in the future!
This Was A Great FInd
We all know textbooks are overpriced, and I was ecstatic over finding this book at this price.
Was searching the entire Internet, but finally got it for the best price.
Thank you so much bookpanthers, I got my text book for the best price on internet. And even the best thing is i got a coupon for sharing the link, across my class to get a free text book. With the help of this website, i am way to go with my subject.