This week we focused a lot on developing mathematical thinking and learning objectives. During Monday’s class, we talked about having an entry phase, an attack phase, and a review phase. These phases are important for your students to develop mathematical thinking. As educators, we cannot just give our students a problem and expect them to solve it right away. Our students need to understand the problem and decide which way they will approach it before the attack phase can occur. During the attack phase it is possible to become stuck, but we have to understand that being stuck is not that bad. It is a learning experience and a time for reflection. While your stuck you might want to walk away from the problem, which is fine because when you return to the problem your attitude will have changed and you will be able to look at the problem from a different perspective. Having the right attitude when it comes to problem solving is very important. Once the attack phase is complete does not mean that you are done the problem. You still need to check your work, reflect on the key ideas and concepts, and extend it to a wider context. Finding connections between problems is a great way to gain a deeper understanding of the concept.
This past week we learned a lot about creating objectives for a lesson plan. Having an objective is very important because it emphasizes what students will be able to do, it sharpens the focus of teachers, it identifies sub-skills in complex activities, and it improves accountability and ease of assessment. When we had to create our own objectives, I realized it was not as easy as I thought. The objective has to be specific, measurable, achievable, and learner focused.
We were given the task of creating our own objectives from the grade levels we were planning on teaching. We had to choose an outcome and an indicator from the curriculum and we had to build our objective around the area we chose. After creating the objective, we had to create a task and a hook. For the task we had to find a question in the textbook that our students would solve. We found a question that related perfectly to our outcome and we started to explain how the students would be able to solve this question in the hook. Later on we realized that our hook had to captivate our students attention and had to make our students want to learn what we are teaching. Having the attention of your students at the beginning of class is very important to having a successful lesson.
This past week really opened my mind up to different ways you can plan a lesson. It was one of the first times where I had to write an objective and follow through with a task and a hook. Trying to create a perfect objective, task, and hook is a lot of work and it takes practice, but I believe that one day, I will be able to create them without struggle. I realized that planning a lesson takes a lot of time, but in the end it is worth it.