The science and art of arithmetic, by A. Sonnenschein and H.A. Nesbitt. Answers to the exercises

Εξώφυλλο
 

Επιλεγμένες σελίδες

Άλλες εκδόσεις - Προβολή όλων

Συχνά εμφανιζόμενοι όροι και φράσεις

Δημοφιλή αποσπάσματα

Σελίδα 5 - working by rule of thumb, will entirely agree with the authors that progress is not mere advance from rule to rule. Any process once properly realized can never be quite forgotten, and to impart to students what our authors term ' a thorough and all but visual realization of each process,' should be the aim of every teacher. They can scarcely
Σελίδα 5 - priori conclusions by the light of experience.' In history, physics, and even in language, the student must have premisses supplied him ; but his mathematical studies can all be 'evolved from his inner consciousness."'—Educational Times.
Σελίδα 5 - Decidedly the clearest, most useful, and easiest method we have seen of teaching the principles and practices of arithmetic. It combines the excellences of Colenso, De Morgan, and Barnard Smith, with excellences peculiar to itself."—-The Rock, "It is a very original and well-reasoned system of educating the mind by means of numbers. The authors, working upon the principle ' that the student must be led to the
Σελίδα xx - by the square of the number. (244) The square is increased by the square of the new number, and twice the product of the two numbers. (245) Twice the product of the two numbers. (246) (a) The sum
Σελίδα xx - (240) a. The remainder is diminished by that number x the quotient. b. The remainder is increased by that number. (241) The remainder is (a) multiplied,
Σελίδα xx - The difference is increased or diminished by twice the quantity according as the greater of the two is increased or diminished. (239) a.
Σελίδα xx - divided by that number. (242) A proper fraction is increased ; an improper fraction diminished. (243) The ratio is

Πληροφορίες βιβλιογραφίας