A history of the conceptions of limits and fluxions in Great Britain from Newton to Woodhouse by Florian Cajori.

Abstract

Jurin's first reply to Berkeley Walton's first reply to Berkeley. Berkeley's reply to Jurin and Walton Walton's second reply to Berkeley Jurin's second reply to Berkeley. Berkeley's second reply to Walton The second edition of Walton's second reply

Examples of Problem-Solving Strategies in Mathematics Education Supporting the Sustainability of 21st-Century Skills

“…Muhammad ibn Musa al-Khwarizmi (780-850) wrote Arithmetical tractate; Cajori [52] and Benediktova [53], who were devoted to natural numbers and operations, republished his work as a critical edition [54], which contains the following algorithm of multiplication for the example of 214 • 2326.…”

Warren colburn

“…Cajori contrasts the approach to the teaching of arithmetic by Colburn with that of older texts as follows: 12 Instead of introducing the young pupil to the science of numbers, as did old Dilworth, by the question, 'What is arithmetic?' and the answer, 'Arithmetic is the art or science of computing by numbers, either whole or in fractions,' he was initiated into this science by the following simple question: 'How many thumbs have you on your right hand?…”

Is Mathematical Truth Time-Dependent

“…However, neither Berkeley's attack nor the replies to it produced the change in attitude toward rigor which we are trying to explain. First of all, the replies are not very convincing [8]. Besides, the subject of foundations was still not considered serious mathematics.…”