It is important to make sure you are teaching students with manipulatives and teaching them about misconceptions. In this lesson, my partner Anna Dueker and I, decided to use Unifix Cubes to help demonstrate multiplication and creating area models. We made sure to start our lesson with something what an area model looks like and what it doesn't look like. Asking the students to help us talk about why you have to make the area model in a specific configuration. Manipulatives are great for students in math because they aid their understanding to difficult topics. It allows the to take the learning into their own hands.
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As a teacher, it is so important to be involved in the community. Julia Sikora, Elsie Greenwood, and I created a small Thanksgiving themed math activity for our local family night. The on campus preschool held family night for their students and their families where they could come and do fun math activities. My group made a counting turkey. We gave them each a spinner, 10 feathers, and a laminated turkey. The students would spin the spinner, landing on a number. They would then put that number of feathers on the turkey and start again. This helped them with their counting skills, number identification, and fine motor skills.
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Dan Fickle talks about how we need to invite thinking into the math classroom. We can do this through starting with a question. Next we allow time for students to struggle, to teach them to preserver. As teachers, we need to recognize we are not the answer key. That we don't need to know everything, and that is okay. As teachers, we also need to say yes to our students. We should accept wrong and right ideas into the conversations, not dismissing ideas. We also need to allow our students to use manipulatives and learn through play. All these steps together allow mathematics to flourish.
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Kendra Jacobs talks about mathematizing our world and bringing it into our classrooms. She talks about how it is important to make sure students aren't hating math. She speaks on how it is so important to bring joy is through oral language and having a lense of curiosity in your classroom. One way she mentions is to do this is to play games with your students. This helps them have fun during math and allows them to use their math brains without knowing it.
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Pam and Kim talk about what math we teach should come first, how to teach it, and why to teach it. They talk about how it is important to make sure that algorithms are not our goal, that rotely repeating steps keeps students from being the mathematicians they can be. We should be going that math to build content and connections, the "what" of the content. They call it "having an experience in mathing." For example a Problem String, giving the students problems in a certain order so the students can make patterns and connect them together, building off of them on their own. You don't need to give them the steps of the harder problems because they figured it out due to problem stinging. Mathematics is about connections and continuously building off of what you know. Teachers need to know "why" to change, because algorithms arn;'t good and that teaching for reasoning is better than answer getting. It's about growing our students brains. https://podcast.mathisfigureoutable.com/1062400/13434491-ep-167-how-what-why-to-change-math-class
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