Please respond to the discussion below using RISE model.

To help students think systematically, I would model how to slow down and make sense of a problem before solving it. For example, I could use a Read-Draw-Write routine or a visual strategy like bar models to help them identify what is known, what is unknown, and what relationships exist. In my classroom, I often ask students to explain what the problem is really asking before they choose an operation. This helps them build a habit of organizing information instead of guessing.

When students choose the right strategy, I want them to see that there is more than one way to solve a problem. During class discussions, I could have students share different approaches to the same problem, like using a number line versus creating an equation. Then I would ask which strategies were most efficient or clear. That process helps students understand that math is not just about memorizing steps but about using reasoning through their choices.

To encourage students to work and talk together, I would use pair or small-group problem solving. I like the idea of students explaining their thinking to one another before checking answers. I would ask guiding questions like, "What made you choose that method?" or "Does your answer make sense for this type of problem?" These conversations help students clarify their reasoning and build confidence in sharing their ideas (Watts-Lawton, 2021).

One of the most powerful practices is helping students learn from mistakes. I would build this mindset by highlighting common mistakes during class. We would analyze them together to see where the misunderstanding came from and how we could fix it. This helps students see that errors are part of learning, not something to be embarrassed about. I also model my own mistakes on the board and think aloud through how I would correct them.

Finally, I want to create a problem-solving culture where students feel comfortable taking risks and thinking creatively. Instead of using only textbook/curriculum problems, I could include open-ended or real-world examples like planning a school fundraiser, comparing phone plans, or calculating data for a science experiment. These tasks help students see math as a way to make sense of real situations and to find solutions that matter.

How could you use those strategies to teach problem solving across the curriculum?

These same practices can apply in every subject. In science, students can think systematically when forming hypotheses and reflect on mistakes when experiments do not go as planned. In ELA, they can choose strategies to plan, write, and revise while learning from feedback. In social studies, they can work together to analyze causes and effects or propose solutions to historical and civic problems.