Mathematical Habits of Mind: Explain
When students engage in mathematical discussions and explain their thought processes and reasoning, it can be beneficial for both the students and the teacher. For students, explaining their thinking can help them better understand the concepts and procedures they are learning, as well as make connections between them. This can be particularly helpful when students are learning new concepts, as it can help them contextualize and remember the information. Additionally, self-explaining while solving problems can help students access and apply their knowledge more effectively. Furthermore, discussing math thinking can increase motivation and learning, and may even make learning more enjoyable for students.
For teachers, encouraging students to explain their thinking can provide valuable insight into what students have mastered and where they may need additional support. This can be especially useful when students who may be less vocal in class are given the opportunity to participate in discussions, as it can give teachers a more complete understanding of the class's understanding of the material. Additionally, asking students to explain their reasoning can help teachers ensure that students are not just following procedures blindly, but rather that they understand the underlying concepts and can apply them appropriately.
Overall, incorporating explanations and discussions about mathematical thinking into instruction can be an effective way to support student learning and understanding in math. It is important for teachers to highlight the ways in which students' thinking influences the outcomes of their work. By doing so, teachers can help students feel that their thoughts and ideas have value, and can create an environment that encourages students to engage more deeply with math.
The Mathematical Habit of Mind (MHoM) Explain involves clearly and concisely communicating one's thoughts, opinions, or beliefs to others. This can be especially useful in discussions or debates, as it helps others understand the reasoning behind one's perspective. It can also involve explaining the steps or reasoning behind problem-solving, such as when trying to troubleshoot a technical issue or completing a puzzle. By clearly articulating the logic behind their approach, individuals can better understand their own thought process and communicate it to others.
In addition to discussing ideas with others, explaining can also be helpful for personal learning and understanding. For example, when preparing a meal or participating in a hobby that involves problem-solving, explaining the steps taken can help individuals better understand the logic behind their approach and retain the information. In team sports, explaining strategies can help individuals understand the game and improve their skills. In science projects or experiments, explaining the concepts being used can help individuals better understand and communicate their findings.