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In it Dodgson supports using Euclid's geometry textbook The Elements as the geometry textbook in schools against more modern geometry textbooks that were replacing it, advocated by the Association for the Improvement of Geometrical Teaching, satirized in the book as the "Association for the Improvement of Things in General". [1]
As is usual for a textbook, Curvature of Space and Time has exercises that extend the coverage of its topics and make it suitable as the text for undergraduate courses. . Although there are multiple undergraduate-level textbooks on differential geometry, they have generally taken an abstract mathematical view of the subject, and at the time of publishing of Curvature of Space and Time, courses ...
The Principles and Standards for School Mathematics was developed by the NCTM. The NCTM's stated intent was to improve mathematics education. The contents were based on surveys of existing curriculum materials, curricula and policies from many countries, educational research publications, and government agencies such as the U.S. National Science Foundation. [3]
Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid, which he described (although non-rigorously by modern standards) in his textbook on geometry: the Elements. Euclid's method consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions from these.
3D model used for teaching geometry. Instructional materials, also known as teaching materials, learning materials, or teaching/learning materials (TLM), [1] are any collection of materials including animate and inanimate objects and human and non-human resources that a teacher may use in teaching and learning situations to help achieve desired learning objectives.
In practicing modern elementary mathematics, teachers may use new and emerging media and technologies like social media and video games, as well as applying new teaching techniques based on the individualization of learning, in-depth study of the psychology of mathematics education, and integrating mathematics with science, technology ...
The mathematician Sigurdur Helgason commented that, "The geometry textbooks by the remarkable mathematician Ólafur Daníelsson, the pioneering founder of mathematics education in Iceland, were written by a man with a real mission". [4] In 1941, Daníelsson concluded his teaching career and retired. [3]
Saxon math, developed by John Saxon (1923–1996), is a teaching method for incremental learning of mathematics created in the 1980s. It involves teaching a new mathematical concept every day and constantly reviewing old concepts. [1]
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