Dave Hewitt

In the first video, I liked Dave's idea of using the entire classroom as a learning tool. His introduction to algebra and number line lesson was also taught by allowing students to speak in unison. This gave every student an opportunity to reflect on their learning. This made me stop and reflect on my role as a teacher candidate. However, as I was watching the video, I felt like the lesson was dragged on for too long. For example, I would implement more activities and foster group collaboration after a quick interactive lesson. Otherwise, if my lessons are too long, I believe my students will lose focus and interest. Another stop that was interesting was the concept of powers of the mind that was mentioned in the second video. He mentioned that there are different powers of the mind; one of them being memory. As teachers, we need to make sure that memory isn't the only skill that is being taught to the students. This is so common, especially in a mathematics classroom. It was also interesting to learn that we can learn a lot from little. His example of fractions made sense. We need a common name to add fractions and this can be easily explained with the concept of addition. I was able to learn that educating awareness is necessary instead of making students memorize information. I think Hewitt created the fraction problems to support awareness. This problem helped me understand how fractions work and that fractions can be equivalent even when they don't have the same denominator. These examples are crucial for students as they are able to build awareness in them. It will allow them to apply their knowledge instead of using their memory to solve it. Hence, I will need to be definitely thoughtful of the examples I give to my students in my teaching. 

I was able to find fractions between 5/7 and 3/4. Here is the work: