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Professor Earle R. Hedrick of the University of California at Los Angeles will give two courses in mathematics this summer at Teachers College, Columbia University. One course will deal with professionalized subject matter in algebra and geometry. It will treat those topics in elementary algebra and geometry that offer peculiar difficulty to teachers. The other course will deal with the teaching of mathematics in junior colleges and in lower divisions of colleges and universities. Here an attempt will be made to study the pedagogical questions that arise in instruction in college algebra, trigonometry, analytic geometry, and the calculus.