# Comparing Alfie's 'Getting Teaching And Learning Wrong'

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They begin to explore problems, situations, and while doing this they are learning mathematics. Students are also doing it on their own and are exploring the many possible situations there can be for the mathematical problem. The students here are the ones who are asking questions, seeking out patterns or making connections. This is a great way for students to think outside the box and understand that there can be several ways to solve a problem. The teacher here is the one who sets up the context and introduces it to them and then allows the students to work on the problem. The students then have a discussion where they each talk about the methods they used and which ideas are similar or which ones are incorrect and why. The three-phase lesson format provides a structure for lessons where students focus on a topic of inquiry, engage in action, and follow up with a discussion. These three phases are known as before, during, and after. This allows the students to focus on the procedures of the problems and their understanding of it. The teacher during the before phase will evoke prior knowledge and skills that the students have previously learned and prepares the students for the lesson

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As the teacher walks around the classroom they must be listening actively so they can understand their students approaches towards a problem. In this phase, the most important task for the teacher is to find out how their students think, what they know, and how they are approaching the task you are giving them. The after phase the teacher coordinates students sharing and summarizing with students the mathematics evident in the solutions. As well as making clear what the purpose of the group discussion is which is to share and explore a variety of strategies. Teachers in this phase should be encouraging student-student dialogue that way they can listen to others different solutions and have them work it out together as a