Excerpt from Fundamentals of High School Mathematics
The writers have experimented in the classroom with this reconstructed course of study. Each has taught first-year classes under the critical observation and comment oix the other. The work has eventuated in an important body of material concerning how children learn mathematics. (this material will be presented in a book, The Psychology and Teach ing of junior High School Mathematics, some time during the school year 1919 It has been clearly demonstrated that special products and factoring can be satisfactorily taught and habituated in 7 class periods,-these contrasted with the 30 class periods of the common practice of the day.
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The traditional course of study in high school mathematics needs to be completely reconstructed. Five years of intensive investigation have established striking inadequacies in the first-year course: both what we teach and how we teach it. First: more than half of the conventional first-year course will never be used by the vast majority of our pupils. Second: the claims which we make that we are training pupils to think intelligently will be difficult, if not impossible, to substantiate. The very content and organization of the course tends to inhibit this. Most of it provides little or no opportunity for training in problem-solving. Our courses of study emphasize habitformation and rote memory, and these courses are almost exactly determined by the textbook. Finally: standardized tests given to more than 100 high schools show clearly that neither in securing formal skill nor in developing powers of analytical thinking is our instruction satisfactory. Striking needs: (1) courses of study based on a clear-cut program ;(2) a real psychology of how children learn mathematics, expressed through new types of wordy textbooks and manuals of method. Courses must be constructed on principles of social worth and thinking outcomes that have been definitely established. Current courses have not been so organized. The slate should be wiped clean and a new course organized on a clear-cut program. No material should be included which cannot be defended either on the basis of social worth, or upon the probability of relatively worth-while thought power. Furthermore, the present course, as it came down from its former position in the upper college curriculum, has retained that emphasis upon rigorous, logical organization and upon brief alge The evidence which was collected is reported in det|dl inS cientific Method in the Reconstruction of Ninth Grade Mathematics by H. O. R
(Typographical errors above are due to OCR software and don't occur in the book.)
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Paperback. Etat : New. Print on Demand. This book challenges the traditional approach to teaching high school mathematics, arguing that the current curriculum is outdated and fails to adequately prepare students for the demands of modern life. The author, a leading educator of the time, advocates for a complete reconstruction of the ninth-grade math course, arguing that it should focus on concepts with demonstrable social worth and emphasize the development of critical thinking skills. The book presents a revolutionary approach to textbook writing, emphasizing the importance of clarity and gradual development of concepts. It argues for the use of "wordy textbooks" that bridge the gap between students' everyday language and the more abstract language of mathematics. Drawing upon extensive classroom experimentation, the author provides specific examples of how to restructure and teach crucial topics like signed numbers, special products, and factoring. The book's vision for mathematics education is rooted in the belief that the ability to see and understand relationships is central to human thought. The author argues that math instruction should not be about rote memorization, but rather about developing students' abilities to recognize and express quantitative relationships, equipping them to navigate the increasingly complex world of data and information. The book's insights into the principles of teaching mathematics have had a lasting impact on educational practices, laying the foundation for a more student-centered and relevant approach to mathematics education. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N° de réf. du vendeur 9781330081068_0
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Taschenbuch. Etat : Neu. Neuware. N° de réf. du vendeur 9781330081068
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Paperback. Etat : Brand New. 390 pages. 9.02x5.98x0.80 inches. This item is printed on demand. N° de réf. du vendeur zk1330081064
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