I homeschooled my son in 7, 8 and 9 grades mainly because he was very advanced in math and science and the school curriculum was not sufficient for his learning. When you homeschool, the kids learn at their own pace and he self-learned a lot of math through Khan Academy. But since I was worried about credentials for college, I also enrolled him for Honors and AP science courses with CTY (where you'll get transcripts and detailed teacher evaluations at the end of the course). In his 9th grade he did AP Calculus from AoPS, which also gives a letter grade at the end of the course. He was also doing AP Bio, AP Physics C etc from CTY and other institutions like PA Homeschoolers where they give their grading . He applied to private boarding schools in New England for his 10th grade, and I submitted a compiled transcript, attaching the submissions from these institutions as well. He also took all AP exams from College Board and submitted those scores as well. Every school he interviewed with was impressed that he was doing AP Calculus in his 9th grade, and any course with AP has designation has to be college board approved, so automatically the credibility is there. The schools were also familiar with AoPS and CTY He got into a really good school for his 10th grade, and is learning Mulivariable calculus for his 10th grade, and Engineering courses (Civil, Electrical and Mechanical) for his 10th grade science (since he has already completed AP Bio and AP Physics C both papers). The school has Linear Algebra, Real Analysis etc as well as seminars and research topics for students beyond all these courses. There are many schools like that including Stanford OHS where there are many more courses beyond Calculus. If pure homeschooling is not ideal, Stanford OHS takes full time students from 6th grade. My son was enrolled for a couple of weeks before he got the admission to current school, and most of the kids who take up Stanford OHS are kids who are serious about their athletic or dance or music pursuit (junior olympics training etc). They spend multiple hours on their extra-curriculars , so traditional school timings don't work for them. Stanford OHS is like a proper school in that they compile all the transcripts and send recommendations etc, and has periods, classrooms, clubs etc, but all online and flexible for your timings.
上次我问了老美论坛的家长，如果孩子数学跳级，到了9+
年纪已经学完AP CalculusBC，要是没数学课可以学，怎么办？
我知道有的牛高中都会开calculus之后的数学课，比如多元微积分或是线性代数。可是又觉得如果在高中上的高等数学，多半很水。
然后有不少家长推荐Standford online high school，或是斯坦福的这precollege的数学课，给学有余力的高中生。当然我想斯坦福是会忙着赚钱，你要能上，以后可以转大学的学分，其他大学会认吗？
http://IwAR1zFOkkV7bokFtKhmlSO3y6dGDkIiqRg0h1KnuT2e4DLZtNXdCStqNMd84
LD很想让弟弟学到differential equation。我的担心是这学分能转吗？另外，what is Modern Algebra，是不是数学分析？这个是不是太难了，做工程的没必要学？
也是AI必要，嘿嘿
LD很希望儿子把工程的数学基础课修了，然后再学一些工程画图和编程软件（solid work，MATLAB）。以后给他干活，他们可以一起探讨一些课题。
我还是希望走老路子，就是数学竞赛。
现在我在这个方面跟他产生严重分歧。
但是我觉得AOPS的偏数学，而非工程数学的基础课。
我也没想着让孩子去挤CS的独木桥。我们还是以大工程，ME为主要目标吧。
选择。
荷尔蒙关系，以后心思不在其他方面。所以执意让弟弟跳级，跳到跟他目前数学水平接近的班。
可是这样一搞，以后高中都没有多少AP数学课可以攒GPA积分了。我想学校数学课就不管了，专心搞数学竞赛。结果他现在来横加一手，我都不知道该怎么弄啊。
他有他的私心，希望弟弟能尽快学到一些工程的基础东西，给他干活。
本来我想弟弟9年纪PreCal，10年纪AP Calculus，11年纪AP Stats。然后暑假或是12年纪去修附近大学的多元微积分和线性代数。
然后在学校找时间做竞赛和上竞赛班。现在他这么一搅合，把我的计划都打乱了。
我还不知道弟弟到了14－15岁，还肯不肯继续学呢。
如果都算4分課 你就虧大了
高中一定要批准這個才可以算進去高中畢業所需要的數學學分啊
那天也跟一个老美家长聊到大学申请，尤其是有一些天赋的孩子，高中就把大学的一些weed out的课程修了，能否被好学校看上。
结果他这么说
不过现在他初中没有数学俱乐部，小子自己要参加学校的science club。真的是个nerd啊。
我都要被他气死了。
他跑去让学校给弟跳级弟考代数1和几何。这么一弄，到真的有可能会在9年纪就得上AP calculus。
我是压根不愿意。他吃饱了撑的，明明可以好好攒高GPA，他非得走这不寻常路。
不过我测试了一下，弟弟大概袋鼠1过没问题，但是AoPS的几何还没有修呢。美国高中的几何据LD说非常简单，弟弟完全可以考过。我觉得他有点太自信自家的娃儿了。
发现外嫁的走两个极端，要么超级虎（以前的篱笆，现在的双胞胎妈妈），要么有超级放羊（面筋妈）
我就佩服你已经够虎了，你老公比你还激进
以前从来不过问孩子学习，看弟弟读写困难，也没有给他读过一本书。都是我天天跟弟弟一起看书，念书，做题。。。。
太费妈了。
现在突然把弟弟惊为天人的拔苗助长。。
我要是儿子也出了成绩。绝对只会说，都是孩子自己努力，跟我一点关系没有，都是他的天赋秉异。
数学也修得很深。
I homeschooled my son in 7, 8 and 9 grades mainly because he was very advanced in math and science and the school curriculum was not sufficient for his learning. When you homeschool, the kids learn at their own pace and he self-learned a lot of math through Khan Academy. But since I was worried about credentials for college, I also enrolled him for Honors and AP science courses with CTY (where you'll get transcripts and detailed teacher evaluations at the end of the course). In his 9th grade he did AP Calculus from AoPS, which also gives a letter grade at the end of the course. He was also doing AP Bio, AP Physics C etc from CTY and other institutions like PA Homeschoolers where they give their grading . He applied to private boarding schools in New England for his 10th grade, and I submitted a compiled transcript, attaching the submissions from these institutions as well. He also took all AP exams from College Board and submitted those scores as well. Every school he interviewed with was impressed that he was doing AP Calculus in his 9th grade, and any course with AP has designation has to be college board approved, so automatically the credibility is there. The schools were also familiar with AoPS and CTY He got into a really good school for his 10th grade, and is learning Mulivariable calculus for his 10th grade, and Engineering courses (Civil, Electrical and Mechanical) for his 10th grade science (since he has already completed AP Bio and AP Physics C both papers). The school has Linear Algebra, Real Analysis etc as well as seminars and research topics for students beyond all these courses. There are many schools like that including Stanford OHS where there are many more courses beyond Calculus. If pure homeschooling is not ideal, Stanford OHS takes full time students from 6th grade. My son was enrolled for a couple of weeks before he got the admission to current school, and most of the kids who take up Stanford OHS are kids who are serious about their athletic or dance or music pursuit (junior olympics training etc). They spend multiple hours on their extra-curriculars , so traditional school timings don't work for them. Stanford OHS is like a proper school in that they compile all the transcripts and send recommendations etc, and has periods, classrooms, clubs etc, but all online and flexible for your timings.高中生，无论如何都没必要对着这个图去学那么多数学。而且实分析比复分析难多了，怎么还排在前面，没道理。
615和606可以到12年级学用来打发时间。这里课程的难度基本相当于斯坦福数学系本科生的难度，如果不是想在数学，物理方面发展，感觉没有必要去学这个ULO的数学课，还死贵。ULO明确指出学分不能转斯坦福学分。那里的老师是从斯坦福在线高中来的，都有数学专业PhD 学位的老师，学生主要是靠学习网上的视频。并不是你报名交钱就能进，需要写申请和递交学过的课程成绩单，AP数学考试成绩，推荐信等。
如果在9、10年级就能去ULO的学生都是在8、9年级就完成所有AP数学的考试并拿5分的孩子。哪怕在公立高中，要维持自己的GPA最笨的办法是再选一遍学校的AP数学，这样的学生再上学校的AP数学课就是在打酱油，根本不用化时间，纯粹为了维持学校GPA。
尽量保证11年级学校还有数学课可以上。记得有几个理工大学是要求有数学老师推荐信，而推荐信最好是11年级老师写。
如果是超级大牛娃当我没说。大spikes足够弥补推荐信上的不足。