Teacher Reflection (Higher Order thinking and DOK Levels)
Working with a mentor has been such a game-changer for creating meaningful learning experiences that let my students explore their own interests while also pushing their thinking to the next level. My mentor really helped me see how important it is to create a balance between allowing students the freedom to follow their curiosity while guiding them toward deeper, more complex learning. Using my knowledge of Depth of Knowledge (DOK) levels, I’ve been able to structure lessons that not only meet students where they are but also challenge them to think more critically and creatively.
For example, we often start with basic, straightforward tasks (DOK 1), like defining terms or solving simple problems, to ensure that students have a solid foundation and are using their recollections. From there, I’ve learned to use guiding questions and real-world scenarios to push them into DOK 2 and DOK 3 levels, where they start making connections, analyzing patterns, and explaining their reasoning. My mentor guided me to prepare probing questions such as, “Why do you think that works?” or “What happens if we change this variable?”—questions that make students pause and dig deeper.
One of my favorite projects we developed together involved giving students the freedom to design their own math investigation. With some guidance, they chose topics that interested them—like exploring patterns in sports statistics or figuring out the math behind budgeting for a school event. I could see how starting with their own interests made them so much more engaged. But the real magic was in the process of moving them through the higher DOK levels. They went from just gathering information (DOK 2) to making arguments about their findings or creating presentations to teach their peers (DOK 3 and 4). It wasn’t always smooth sailing, but with the right scaffolding and encouragement, they are rising to the challenge.
One thing my mentor emphasized is the importance of knowing when to step in and when to step back. Sometimes students need a little push—like a hint or a probing question—to keep them moving forward. Other times, it’s better to let them wrestle with the problem on their own (productive struggle). It’s a balancing act, but seeing students take ownership of their learning and realize they can tackle those higher-order thinking tasks is so rewarding.
I’ve learned that when we intentionally plan opportunities for students to explore, analyze, and create—while using frameworks like DOK to guide them—it’s amazing how far they can go. It’s not just about teaching math anymore; it’s about helping students become confident, independent thinkers who are excited to learn.
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