"authoritarian"- favoring or enforcing strict obedience to authority, especially that of the government, at the expense of personal freedom. "authoritative"- able to be trusted as being accurate or true; reliable. "Times" here could be synonymous with instances or periods. Let me know if this helps or not.

Authoritarian is basically when someone has a desire to control people, often being used in a wider sense to describe a political regime. Of course a boss of a company can be authoritarian or a parent in the home can be too, it's just that the main connection people make is with the notorious regimes of the 20th century in Germany and the Soviet Union, of course they are just two examples. Authoritative is more positive and is basically a word to describe someone who has authority and knowledge built from experience. People can trust this kind of person. An authoritative source on authoritarian regimes would be, for example, a renowned historian. An authoritative scout leader would be someone who leads by example and shows positive patterns of behaviour for people to follow.

“ There may be times that they tend to be more authoritarian and times that they tend to be more authoritative and their discipline strategies may vary from child to child.” 翻译：也许有时候他们会倾向于采用比较专制（不是民主的）的方式，有时候则会采用命令的方式（不是商量着办）。同时他们的训练策略也是因不同的孩子而异。【对孩子不能都讲民主、商量，孩子有时候缺乏成人的理智，这时候需要强制、命令甚至大棒。】 作为非英语母语者，我来试答一下吧。英语者英语水平是没有问题的，但是往往不了解外语学习者真正的疑难是什么，因此有时候答不到点儿上。 authoritarian, 专制的，威权的。一般是贬义词（disapproval），但是在一定的语境下可以变成中性甚至褒义的。 authorative一般是褒义词（approval）或中性词（neutral），但在一定的语境下可以变成贬义的。 正如卡梅隆Cameron所说，在这个句子中，两个词的意思相差不大，但是还是有差别的：authoritarian是凭借自己的权力发布指令（学生不得不听从），而authoritative是利用老师在学生心目中的权威来发布指令（学生因为信任、崇拜老师而乐意听从其指令）。 句子中的time是场合、情形（occasion、situation）的意思，因此它后面的定语从句是that从句，不是时间、时候的意思，后者后面的定语从句一般是when从句。