Euler's Eyes
2026-10-26
数学记号的符号学
第 76 页，共 86 页
参考文献与图片来源
延伸阅读
- Seron, Xavier; Fayol, Michel. Number transcoding in children: a functional analysis. British Journal of Developmental Psychology, 12, 1994, pp. 281–300.
- Miura, Irene T.; Kim, Chungsoon C.; Chang, Chih-Mei; Okamoto, Yukari. Effects of language characteristics on children’s cognitive representation of number: cross-national comparisons. Child Development, 59, 1988, pp. 1445–1450.
- Skemp, Richard R. Relational understanding and instrumental understanding. Mathematics Teaching, 77, 1976, pp. 20–26.
- Gray, Eddie M.; Tall, David O. Duality, ambiguity, and flexibility: a “proceptual” view of simple arithmetic. Journal for Research in Mathematics Education, 25(2), 1994, pp. 116–140.
- Halliday, Michael A. K. Language as Social Semiotic. London: Edward Arnold, 1978. 关于数学语域的一章。
- Pimm, David. Speaking Mathematically: Communication in Mathematics Classrooms. London: Routledge & Kegan Paul, 1987.
- Baruk, Stella. L’âge du capitaine: de l’erreur en mathématiques. Paris: Seuil, 1985.
- Brousseau, Guy. Théorie des situations didactiques. Grenoble: La Pensée Sauvage, 1998.
- Pólya, George. How to Solve It. Princeton: Princeton University Press, 1945. 中译本：波利亚《怎样解题》。
- Matz, Marilyn. Towards a process model for high school algebra errors. In: Sleeman, D.; Brown, J. S. (eds.). Intelligent Tutoring Systems. London: Academic Press, 1982, pp. 25–50.
- Gray, Jeremy J. A commentary on Gauss’s mathematical diary, 1796–1814, with an English translation. Expositiones Mathematicae, 2, 1984, pp. 97–130.
- Berndt, Bruce C. Ramanujan’s Notebooks, parts I–V. New York: Springer, 1985–1998.
- Kanigel, Robert. The Man Who Knew Infinity: A Life of the Genius Ramanujan. New York: Scribner, 1991.
- Halmos, Paul R. How to write mathematics. L’Enseignement Mathématique, 16, 1970, pp. 123–152.
- Knuth, Donald E.; Larrabee, Tracy; Roberts, Paul M. Mathematical Writing. Washington: Mathematical Association of America, 1989.
- Nemeth, Abraham. The Nemeth Braille Code for Mathematics and Science Notation. Louisville: American Printing House for the Blind, 1972.
图片来源
| 图片 | 来源 | 许可 |
|---|---|---|
| 伊尚戈骨 | 维基共享资源 | CC BY-SA 4.0，Joeykentin |
| 尼古拉·波格丹诺夫-别尔斯基《心算》（1895） | 维基共享资源 | 公共领域 |
| 高斯日记的第一条记录（1796） | 维基共享资源 | 公共领域 |
| 高斯日记中的“ΕΥΡΗΚΑ”（1796） | 维基共享资源 | 公共领域 |
| 拉马努金笔记本中的一页 | 维基共享资源 | 公共领域 |
| 《研究与发明》中的算术方块（1926） | 维基共享资源 | 公共领域 |
交互图形（按读法写的数、错误规则和高斯的尤里卡）在本站的四种语言中都能使用。所下载图片的记录及每个文件的哈希值，见 data/semiotica_imagens.json。