CCSSM Standards Mathematical Practice Assignment_parts 1 & 2
*Standard: Reason abstractly and quantitatively
--> Most Important Points
Reasoning is defined as how students make sense of things, in this case specifically mathematical concepts. Students should be thinking and reflecting on the concepts they are learning and working with. As the articles stated, students can reason through thinking about ideas, looking at and completing examples, asking questions, and forming hypothesis or patterns. Student engagement is extremely important in reasoning. Engagement activities allow students to connect with the material. Students have to be taught how to reason. This is not something they will know how to do on their own. Finally, students need to be able to reason with quantities.
--> Additional Article
"Taking it to the Next Level: Students Using Inductive Reasoning"
This article discusses the idea of inductive reasoning and how it can be applied in the classroom. Students each have their own way of reasoning, and teachers need to figure out how to use their reasoning to understand mathematical concepts. Students should engage in and examine mathematical processes. Inductive reasoning is discovering patterns rather than examining things we already know to be true. To apply these concepts in the classroom, teachers first need to teach their students how to reason. The CCSSM reading also indicated that reasoning is something students can and need to learn. Teachers should allow students to learn mathematical practices through inquiry. This will give students a better understanding of the concepts they are working with. The levels of inquiry used should range from guided inquiry to open inquiry.
Citations:
--> Most Important Points
Reasoning is defined as how students make sense of things, in this case specifically mathematical concepts. Students should be thinking and reflecting on the concepts they are learning and working with. As the articles stated, students can reason through thinking about ideas, looking at and completing examples, asking questions, and forming hypothesis or patterns. Student engagement is extremely important in reasoning. Engagement activities allow students to connect with the material. Students have to be taught how to reason. This is not something they will know how to do on their own. Finally, students need to be able to reason with quantities.
--> Additional Article
"Taking it to the Next Level: Students Using Inductive Reasoning"
This article discusses the idea of inductive reasoning and how it can be applied in the classroom. Students each have their own way of reasoning, and teachers need to figure out how to use their reasoning to understand mathematical concepts. Students should engage in and examine mathematical processes. Inductive reasoning is discovering patterns rather than examining things we already know to be true. To apply these concepts in the classroom, teachers first need to teach their students how to reason. The CCSSM reading also indicated that reasoning is something students can and need to learn. Teachers should allow students to learn mathematical practices through inquiry. This will give students a better understanding of the concepts they are working with. The levels of inquiry used should range from guided inquiry to open inquiry.
Citations:
Larson, M.
R., Fennell, F., Adams, T. L., Dixon, J. K., Kobett, B. M. & Wray, J. A.
(2012a). Common core mathematics in a PLC
at work: Grades 3-5. Bloomington IN: Solution Tree Press.
Larson, M.
R., Fennell, F., Adams, T. L., Dixon, J. K., Kobett, B. M. & Wray, J. A.
(2012b). Common core mathematics in a PLC
at work: Grades K-2. Bloomington IN: Solution Tree Press.
Murawska, J. M., & Zollman, A. (2015, March 7). Taking
it to the next level: students using inductive reasoning. Retrieved
September 1, 2019, from National Council ofTeachers of Mathematics:
https://www.nctm.org/Publications/mathematics-teaching-in-middle- school/2015/Vol20/Issue7/Taking-It-to-the-Next-Level_-Students-Using-Inductive- Reasoning/
Great start, Darby:) I encourage you to think about this material might impact your future classroom. Are there things you might be able to implement? Thanks!
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