A STUDY OF MATHEMATICAL EDUCATION INCLUDING THE TEACHING OF ARITHMETIC

Measurement and simple surveying An Experiment in the teaching of elementary geometry Measurement and simple surveying Further experiments in the teaching of elementary geometry Further experiments in the teaching of elementary geometry Some points in the history of Arithmetic and their application to the teaching of children The nature of the process by which number is developed in the race and in the child How a famous engineeer taught himselt arithmetic Illustration of types of proof or evidence suitable for beginners in geometry and the appropriate order of their development Some experiments in teaching geometry to blind children Subconscious experience Additional illustrations of the value of certain central educational principles in the teaching of mathemmatics The Geometry of position and its future central role in mathematical education Preliminary lessons on similar figures Brief notes of lessons Origin and development of mathematics Diagrammatic sketch of the development of mathematical experience Educational principles The evolution of mathematical knowledge in the individual Further educational applications Culture and occupation On the nature of geometrical knowledge and of its process of development in the individual Physiological considerations The evolution of axioms in race and individual The Genesis of geometry in the race and the education of the individual Appendix of miscellaneous points