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Mental Growth and the Art of Teaching
The Changes Taking Place in Mathematics
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absolute geometry abstract activity addition and multiplication Adler algebra angles arithmetic axiomatic axioms Cambridge Conference Cambridge Report cardinal number changes checker child classical mathematics commutative concrete operations courses of study deductive reasoning defined diagram discovery distributive law element elementary Emile etry Euclid Euclidean geometry Euclidean space example experience Felix Klein field finite finite fields function geom given goal hyperbolic geometry I.Q. theory integers introduced Irving Adler isometries John Day Company learning low achiever mathe mathematician mathematics curriculum Mathematics Teacher matics mental growth midpoint modern mathematics nature non-Euclidean geometry number line physical space Piaget Piaget's theory plane geometry possible pre-operational proof properties proposed pupils real number system reflection relations ring Rousseau rule Saccheri quadrilateral School Mathematics Simon says SMSG social society structure student symmetries teaching of mathematics tenth-grade theorem tion topological topological space transformations triangle understand vector space York zero