As I would read about different types of mathematical research, I would ponder as to what each piece of research would look like in my own math lessons. Systematically I began to take each piece of research that I would find and build them into my own lessons. I developed a huge collection of powerpoints that used at least 11 different pieces of research. In the next few posts I will share the research and how I incorporated it into my lessons.
Today I will focus on informing the students ahead of what they are going to learn. Siegler & Crowley in their study came up with this conclusion: Knowing the goal of problem solving appears to facilitate the development of procedural and conceptual problem-solving competencies. There are many other studies out there that support this same idea. So it is up to the teacher to tell the students what they are going to learn. This can be done with a Title Page and or subtitle pages, an objective, or an essential question. Above are some examples of what I use in my powerpoints to make sure the students are fully aware of what they are about to learn.