Stevenson, I J and Noss, R (1999) 'Supporting the evolution of mathe- matical meaning: the case of non-Euclidean geometry', International Journal of Computers for Mathematical Learning 3(3), 229-254Stevenson, I., & Noss, R. (1999). Supporting the evolution of mathematical meanings: ...
For mathematics educators and other who need to understand the meaning of geometry. 展开 被引量: 36 年份: 2005 收藏 引用 批量引用 报错 分享 全部来源 免费下载 求助全文 gbv.de (全网免费下载) ulb.tu-darmstadt.de (全网免费下载) tocs.ulb.tu-darmstadt.de (全网免费下载) catalog.lib.kyushu-u...
A study of hyperbolic geometryhelps us to break away from our pictorial definitionsby offering us a world in which the pictures are all changed - yet the exact meaning of the words used in each definition remain unchanged. hyperbolic geometry helps us focus on the importance of words. What is...
Very generally speaking, statistical data analysis builds on descriptors reflecting data distributions. In a linear context, well studied nonparametric descriptors are means and PCs (principal components, the eigenorientations of covariance matrices). In
so without being embedded in a higher dimension. This could be called the axiom of hetero-curvature, and it would make true non-Euclidean geometry possible, since lines with non-Euclidean relations to each other would be straight in the common meaning of the term understood by Euclid or Kant...
In this paper, using the classical methods of differential geometry, we define invariants of non-developable ruled surfaces in Euclidean 3-space, called structure functions, and show kinematics meaning of these invariants. We also generalize the notion of the angle of pitch of a closed ruled surfa...
Stevenson, I J and Noss, R (1999) 'Supporting the evolution of mathe- matical meaning: the case of non-Euclidean geometry', International Journal of Computers for Mathematical Learning 3(3), 229-254Stevenson, I., & Noss, R. (1999). Supporting the evolution of mathematical meanings: ...