……如何去着手解决一个全新的未知问题……对我来说，这才是真正理解的证明。美中不足的是，它们的编排或多或少还是沿袭了美式高中的传统路子。不过可别被骗了，《中级代数》（Intermediate Algebra）可远比展开个 (x+y)^2 要深得多。去翻这些书的时候一定要看课后习题，别光看正文“内容”。《中级计数与概率》（Intermediate Counting and Probability）里可能包含超出你学业……
…how to approach a new unknown problem... which to me is proof of true understanding. A drawback is that they are organized along more or less traditional US high school lines. Don't be fooled though, "Intermediate Algebra" is lots deeper than expanding (x+y)^2. Read the exercises if you're checking out these books, not just the "content". Intermediate Counting and Probability might have content outside of your academic…
……“学点进阶数学”的计划。所以我一直在 YouTube 上刷 Leonard 教授的视频，打算一路学到他的微分方程课。我的《中级代数》复习差不多快收尾了，这个周末大概大半都会用来搞定它。我还在读 Kevin Houston 的那本《如何像数学家一样思考》（How To Think Like a Mathematician），所以应该也会花点时间看这个。
…learn more math beyond that" initiative. So I've been going through Professor Leonard's videos on Youtube, intending to work my way through to his Differential Equations class. I'm almost done reviewing Intermediate Algebra, and this weekend will probably consist largely of wrapping that up. I'm also reading the book How To Think Like a Mathematician by Kevin Houston, so I'll probably spend some time on that.
……阐述某个想法时的工具（还可以参考费曼图，或者电路图），但计算器能做的事情可远不止这些，更不用提真正的 PC、手机和 Web 应用了。巧的是，我上初三学“中级代数/代数2”时，老师并不完全排斥现代技术，所以他只让我们少做了一点那种“手算用 3x4 矩阵解方程组，并写出每一步矩阵变换……
…themselves in elaborating an idea (see also Feynman Diagrams, or electric circuits), but there's so much more calculators can do, let alone actual PCs, cell phones, and web apps. By chance in 9th grade "Intermediate Algebra/Algebra 2" I had a teacher not wholly opposed to modern technology and so he only had us do a small amount of those "solve this system of equations using a 3x4 matrix by hand, showing each matrix transformation…
…For that, my plan is to do the webgpufundamentals.org course first. Scanning the TOC, I think I would be able to attempt it from what I learned from the linear algebra book. That said, I'm doing AOPS Intermediate Algebra at the moment, and the Precalc text covers more advanced trig and matrix stuff, so I'm thinking it would be good to finish at least to there before starting to apply the knowledge.
……如何去着手解决一个全新的未知问题……对我来说，这才是真正理解的证明。美中不足的是，它们的编排或多或少还是沿袭了美式高中的传统路子。不过可别被骗了，《中级代数》（Intermediate Algebra）可远比展开个 (x+y)^2 要深得多。去翻这些书的时候一定要看课后习题，别光看正文“内容”。《中级计数与概率》（Intermediate Counting and Probability）里可能包含超出你学业……
…how to approach a new unknown problem... which to me is proof of true understanding. A drawback is that they are organized along more or less traditional US high school lines. Don't be fooled though, "Intermediate Algebra" is lots deeper than expanding (x+y)^2. Read the exercises if you're checking out these books, not just the "content". Intermediate Counting and Probability might have content outside of your academic…
……“学点进阶数学”的计划。所以我一直在 YouTube 上刷 Leonard 教授的视频，打算一路学到他的微分方程课。我的《中级代数》复习差不多快收尾了，这个周末大概大半都会用来搞定它。我还在读 Kevin Houston 的那本《如何像数学家一样思考》（How To Think Like a Mathematician），所以应该也会花点时间看这个。
…learn more math beyond that" initiative. So I've been going through Professor Leonard's videos on Youtube, intending to work my way through to his Differential Equations class. I'm almost done reviewing Intermediate Algebra, and this weekend will probably consist largely of wrapping that up. I'm also reading the book How To Think Like a Mathematician by Kevin Houston, so I'll probably spend some time on that.
……阐述某个想法时的工具（还可以参考费曼图，或者电路图），但计算器能做的事情可远不止这些，更不用提真正的 PC、手机和 Web 应用了。巧的是，我上初三学“中级代数/代数2”时，老师并不完全排斥现代技术，所以他只让我们少做了一点那种“手算用 3x4 矩阵解方程组，并写出每一步矩阵变换……
…themselves in elaborating an idea (see also Feynman Diagrams, or electric circuits), but there's so much more calculators can do, let alone actual PCs, cell phones, and web apps. By chance in 9th grade "Intermediate Algebra/Algebra 2" I had a teacher not wholly opposed to modern technology and so he only had us do a small amount of those "solve this system of equations using a 3x4 matrix by hand, showing each matrix transformation…
……为此，我的计划是先刷完 webgpufundamentals.org 的课程。粗略浏览了目录，我觉得凭借从线性代数书里学到的东西，自己应该能试一试。话虽如此，我目前正在做 AOPS 的《中级代数》，而 Precalc 教材涵盖了更高级的三角函数和矩阵内容，所以我想在开始动手实践这些知识之前，最好至少学到那一步。
…For that, my plan is to do the webgpufundamentals.org course first. Scanning the TOC, I think I would be able to attempt it from what I learned from the linear algebra book. That said, I'm doing AOPS Intermediate Algebra at the moment, and the Precalc text covers more advanced trig and matrix stuff, so I'm thinking it would be good to finish at least to there before starting to apply the knowledge.