I would like to plan and teach lessons without solely providing arbitrary information so a lot of time isn’t spent on memorizing. I would like to incorporate more awareness rather than giving students information to memorize. This can be done by providing students the necessary amount of knowledge and giving students the time to work out and discover mathematical properties and relationships. Students are then aware of the information and are more likely to remember it than if they were to purely memorize it. I would prefer to help students develop their mathematical awareness through providing activities. Students can also use the information they have to then apply and extend their knowledge. I would provide students with a variety of tools and methods that they can then apply to any given problem. I also think that allowing students to develop new concepts on their own would be very beneficial in a mixed ability class. It would allow students that already understand the concepts to challenge themselves and apply it in ways that would expand their knowledge. For students that are unsure and uncertain of their math skills, it provides the opportunity to test and understand the new concepts. Teachers can also provide some guided instructions and scaffold information where students would then gain and develop a greater understanding.
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