As a teacher, what is your vision for your mathematics instruction?
As a teacher, my vision for my mathematics instruction is that it will be cognitively guided. The CGI book has thought me a lot about the math development of a child. My goal is to try to have high level math task so that I know my students will be getting the best mathematics education. I'd like my math task not only to be at a high thinking level but also be fun and engaging. Having an engaging activity it one of the most important components to teaching math.
What do you want your classroom to look like?
I'd like my classroom to be full of learning opportunities for math as well as other subjects. I'd like for my students to feel safe in my classroom. I'd also like for my students to realize that this is an area where mistakes are okay to make and that's how we learn somethings, by making mistakes. The last thing that I'd like for my classroom is create an environment were the students constantly curious in mathematics.
What type of work do you want your students to do?
The type of work that I'd like my student to do is high level math task that are created to have connections with other areas of math. Another type of work I'd like my students to have is something that can relate to them in real life. Knowing how the math will help you in the real world is a huge part of keeping engaged.
What do you want your students to accomplish in your mathematics classroom?
Something that I'd like my students to accomplish in my mathematics classroom is high level thinking and have them be able to show the high level thinking. I'd like my students to know that in math it's okay to have many different ways for finding an answer to the question.
These are all well-articulated visions, and they evidence that you have thought a good deal about some of the principles we've talked about in our class. As you prepare for next year, try to be specific: What do you mean by "engaging" or "high level thinking"? What does this look like? What might students be doing? What might they say? Also, you mention feeling safe to make mistakes...What kind of mistakes? What kind of "mistakes" might students make in your classroom and how will you address them or incorporate them into your classroom?
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