1. Kirin uses 记住 in the sentence 可是我们的学生要怎么把那些生字都记住呢?
住 is added to verbs to signify the stabilization or fixation of the action being described. Compare 记 with 记住.
Similarly, later we hear 在我们的网站上,有更多的例子帮助他们把我们教过的生字记下来. Here, 记下来 is another way to describe the process of memorizing.
2. Compare 在我们的网站上 with 在上一课的文章里. Like in English, the first uses “on” while the second uses “in.”
3. Note the use of the suffix 着 indicating performing an action for an extended period in 像长时间看着电视对眼睛真的很不好 and 我们的身体也必须跟着做一些动作.
4. In the sentence 有一家聪明的公司,推出了最新款式的电视游戏机, you can think of the 推出 as metaphorically pushing out the product.