Development of prospective mathematics teachers’ professional noticing in a specific domain: proportional reasoning

The aim of this research is to identify aspects that support the development of prospective mathematics teachers’ professional noticing in a b-learning context. The study presented here investigates the extent to which prospective secondary mathematics teachers attend and interpret secondary school students’ proportional reasoning and decide how to respond. Results show that interactions in an on-line discussion improve prospective mathematics teachers’ ability to identify and interpret important aspects of secondary school students’ mathematical thinking.

The traditional games of England, Scotland, and Ireland, with tunes, singing-rhymes, and methods of playing according to the variants extant and recorded in different parts of the Kingdom;

"List of authorities": v. 1, p. xi-xiv; v. 2, p. vii-ix.

Fundamentals of practical mathematics,

Part of the diagrams are blue-prints.

Primer of college mathematics.

Mode of access: Internet.

Fundamental conceptions of modern mathematics,

"The ... work is essentially one of constructive criticism." - Pref.

Engineering applications of higher mathematics,

Bibliography at end of each volume.

A history of Greek mathematics,

I. From Thales to Euclid.--II. From Aristarchus to Diophantus.

Encyclopaedia of pure mathematics.

Articles reprinted from Encyclopaedia metropolitana.

Negro folk singing games and folk games of the habitants ... [music] /

Mode of access: Internet.

The art of drawing in perspective : made easy to those who have no previous knowledge of the mathematics /

Mode of access: Internet.

Miscellanea mathematica: consisting of a large collection of curious mathematical problems, and their solutions. Together with many other important disquisitions in various branches of the mathematics. Being the literary correspondence of several eminent mathematicians.

Includes tables and diagrams.

A treatise of practical mathematics.

2. Land-surveying. Gauging. Projectiles Spherical trigonometry. Astronomical problems. Navigation, and other subjects.

A treatise on the game of chess. Containing games of odds, various openings of even games, different methods of winning and drawing the game. Also, numerous critical situations on diagrams. To which are added, the art of playing without seeing the board, and an account of the most celebrated chess players of his time. First published in 1617, by D. Pietro Carrera. Tr. from the Italian, with additional notes and remarks by W. Lewis.

Mode of access: Internet.

A treatise on the game of chess; containing the games on odds, from the "Traité des amateurs"; the games of the celebrated anonymous Modenese; a variety of games actually played; and a catalogue of writers on chess.

Mode of access: Internet.

The games of the match at chess played between the London and the Edinburgh chess clubs, in 1824, 1825, 1826, 1827, and 1828; with notes and back-games;

Bound with this are The games ... by the London and Edinburgh chess clubs. London, 1828; and Remarks on the report of the committee, by W. Lewis. London, 1829.