Rankings climb and drop regularly. It is something that is a lot more often than you may believe and there is a pretty good chance that you will see huge drops and increases when you first start doing SEO on your websites. The problem is that although this is completely normal, people will react instinctively when they notice a ranking drop, bringing in new links to that particular page.
This is not a good idea!
Believe it or not, Google may actually pick up on what you are doing and may see this as a red flag. Someone may actually check the links manually if you bring in too many of them out of a sudden for a page that sees ranking drops and you can be 100% sure that this can lead towards even stronger ranking drops.
It may seem counterintuitive to build links to other pages of the site. However, there is logic between that. I am not saying that you should not necessarily build zero links. You just have to take a fully mixed approach. Point a small number of the new links (those of the highest relevance) towards the page that saw ranking drops and build other links to pages of your site that do have links towards the page that had a ranking drop. If you had problems following the idea, please re-read so that you can understand what I mean.
This is especially true when referring to blogs. If you saw ranking drops, the first thing you should do is find the pages that are similar to the one that saw the ranking drop and then simply add a link towards the page. That will help by offering a stronger on-site structure. At the same time, if you are running a blog, you can consider an advanced option: do a 301 redirect from the post to a new page. The idea is that Google naturally pushes blog posts down after a while, as new content appears. With this in mind, making the article a page is something that can help. It will not always work though and in this case you should add new links to the page that you just created.