Excerpt from Geometry for Schools, Theoretical: A Sequel to Elementary Plane Geometry, Inductive and Deductive
The question of improvement in the teaching of elementary Geometry has been so long under consideration and discussion, that agreement in the main has been reached as to the lines along which reform should proceed. Thus the Report of the Committee of the British Association, the Report of the Committee of the Mathematical Association (formerly the Association for the Improvement of Geometrical Teaching), the Report of the Syndicate of the Senate of the University of Cambridge, as well as the various publications on Elementary Geometry that have recently appeared, differ in details rather than in principles. There is a general consensus of opinion on the following points:
(1). The study of formal demonstrative Geometry should be preceded by a practical course in inductive or experimental Geometry, There is general accord that this practical course should be continued during the period of elementary geometric studies. Thus the Senate of the University of Cambridge has decided that, "The paper in Geometry shall contain questions on Practical and on Theoretical Geometry. Every candidate shall be expected to answer questions in both branches of the subject."
(2). The subject should not be dissociated from other branches of mathematics - Arithmetic and Algebra - studied at the same time.
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