赞。还有 Efraim Fischbein 写的《Intuition in Science and Mathematics: An Educational Approach》——https://link.springer.com/book/10.1007/0-306-47237-6
Nice. There is also Intuition in Science and Mathematics: An Educational Approach by Efraim Fischbein - https://link.springer.com/book/10.1007/0-306-47237-6
……其他图形手段)结合代数,并在适用的地方加入注意事项/局限性说明,但核心目的始终是教授概念,而不仅仅是计算。参考文献:1) Efraim Fischbein 的《Intuition in Science and Mathematics: An Educational Approach》- https://link.springer.com/book/10.1007/0-306-47237-6 2) 《The efficiency of visualization through geometry at mathematics education: a theoretical framework》……
…other graphical means) in conjunction with algebra, and where applicable, include caveats/limitations, but always with the aim and focus of teaching concepts and not mere computation. References: 1) Intuition in Science and Mathematics: An Educational Approach by Efraim Fischbein - https://link.springer.com/book/10.1007/0-306-47237-6 2) The efficiency of visualization through geometry at mathematics education: a theoretical framework…
……“我们用逻辑来证明,用直觉来发明”——Henri Poincaré。这篇文章讲的是有意识构建的猜想,而不是瞬间的顿悟,在《Intuition in science and mathematics》第 62 页有讨论:http://books.google.com/books?id=qqGWlEwWj5UC&pg=PA62...
…It is by logic we prove, it is by intuition that we invent - Henri Poincaré The article is talking about consciously formulated conjectures, not about instantaneous insight, discussed here: p.62 of Intuition in science and mathematics: http://books.google.com/books?id=qqGWlEwWj5UC&pg=PA62...
赞。还有 Efraim Fischbein 写的《Intuition in Science and Mathematics: An Educational Approach》——https://link.springer.com/book/10.1007/0-306-47237-6
Nice. There is also Intuition in Science and Mathematics: An Educational Approach by Efraim Fischbein - https://link.springer.com/book/10.1007/0-306-47237-6
……其他图形手段)结合代数,并在适用的地方加入注意事项/局限性说明,但核心目的始终是教授概念,而不仅仅是计算。参考文献:1) Efraim Fischbein 的《Intuition in Science and Mathematics: An Educational Approach》- https://link.springer.com/book/10.1007/0-306-47237-6 2) 《The efficiency of visualization through geometry at mathematics education: a theoretical framework》……
…other graphical means) in conjunction with algebra, and where applicable, include caveats/limitations, but always with the aim and focus of teaching concepts and not mere computation. References: 1) Intuition in Science and Mathematics: An Educational Approach by Efraim Fischbein - https://link.springer.com/book/10.1007/0-306-47237-6 2) The efficiency of visualization through geometry at mathematics education: a theoretical framework…
……“我们用逻辑来证明,用直觉来发明”——Henri Poincaré。这篇文章讲的是有意识构建的猜想,而不是瞬间的顿悟,在《Intuition in science and mathematics》第 62 页有讨论:http://books.google.com/books?id=qqGWlEwWj5UC&pg=PA62...
…It is by logic we prove, it is by intuition that we invent - Henri Poincaré The article is talking about consciously formulated conjectures, not about instantaneous insight, discussed here: p.62 of Intuition in science and mathematics: http://books.google.com/books?id=qqGWlEwWj5UC&pg=PA62...