In this video, the teacher discusses how to strengthen writing by using linking words and wow words. The teacher explains that linking words are like a metal chain that connect words, phrases, and sentences to make writing cohesive. Wow words, on the other hand, are specific and less commonly used words that add interest to the writing. The teacher provides examples and guides the viewers through the process of incorporating linking words and wow words into their own writing, ultimately improving the overall quality and impact of their work.