CCSSM Reflection Blog
CCSSM Reflection
--> Evaluation of Project
My group was assigned the second mathematical practice standard "reason abstractly and quantitatively." Our infographic and video define reasoning as how students make sense of things. We stated that reasoning can be implemented by reflecting on ideas, practicing, discussing, considering real world situation, and forming questions and hypotheses. We discussed the importance of student involvement and thinking and reflecting. We also discussed the process of developing number sense. I think my group did a nice job of discussing the importance of the standard as well as providing details and examples.
--> Reflection on learning of the Standards of Mathematical Practices
The Mathematical Practice Standards help teachers design lessons requiring students to think and reason about mathematical concepts. There are eight standards, but I think that they are all related, because they all have the common goal of mathematical proficiency.
--> Connection between 8 SMPs and NCTM Process Standards
The 8 Mathematical Practice Standards are as follows:
1. Make sense of problems & persevere in solving them
2. Reason abstractly & quantitatively
3. Construct viable arguments and critique the reasoning of others
4. Model with mathematics
5. Use appropriate tools strategically
6. Attend to precision
7. Look for and make use of structure
8. Look for and express regularity in repeated reasoning
The 5 Process Standards are as follows:
1. Problem solving
2. Reasoning and proof
3. Communication
4. Connections
5. Representations
My group connected the mathematical practices to the process standards. We grouped the mathematical standards to the process standards as follows:
* Problem solving involves making sense of problems and persevering in solving them
* Reasoning & Proof involves looking for and making use of structure and reasoning abstractly and quantitatively
* Communication involves constructing viable arguments and critiquing the reasoning of others
* Connections involves looking for and expressing regularity in repeated reasoning
*Representations involves using tools strategically & attending to precision
My group decided that modeling with mathematics relates to all 8 mathematical practices. Overall, none of the standards or process standards are isolated. They are all tied together in the understanding of mathematics.
Below, I have attached the representation my group created in class.
--> Evaluation of Project
My group was assigned the second mathematical practice standard "reason abstractly and quantitatively." Our infographic and video define reasoning as how students make sense of things. We stated that reasoning can be implemented by reflecting on ideas, practicing, discussing, considering real world situation, and forming questions and hypotheses. We discussed the importance of student involvement and thinking and reflecting. We also discussed the process of developing number sense. I think my group did a nice job of discussing the importance of the standard as well as providing details and examples.
--> Reflection on learning of the Standards of Mathematical Practices
The Mathematical Practice Standards help teachers design lessons requiring students to think and reason about mathematical concepts. There are eight standards, but I think that they are all related, because they all have the common goal of mathematical proficiency.
--> Connection between 8 SMPs and NCTM Process Standards
The 8 Mathematical Practice Standards are as follows:
1. Make sense of problems & persevere in solving them
2. Reason abstractly & quantitatively
3. Construct viable arguments and critique the reasoning of others
4. Model with mathematics
5. Use appropriate tools strategically
6. Attend to precision
7. Look for and make use of structure
8. Look for and express regularity in repeated reasoning
The 5 Process Standards are as follows:
1. Problem solving
2. Reasoning and proof
3. Communication
4. Connections
5. Representations
My group connected the mathematical practices to the process standards. We grouped the mathematical standards to the process standards as follows:
* Problem solving involves making sense of problems and persevering in solving them
* Reasoning & Proof involves looking for and making use of structure and reasoning abstractly and quantitatively
* Communication involves constructing viable arguments and critiquing the reasoning of others
* Connections involves looking for and expressing regularity in repeated reasoning
*Representations involves using tools strategically & attending to precision
My group decided that modeling with mathematics relates to all 8 mathematical practices. Overall, none of the standards or process standards are isolated. They are all tied together in the understanding of mathematics.
Below, I have attached the representation my group created in class.
Great work, Darby:) I am glad that you see the connection...and I hope you see the importance of the SMPs and the Process Standards to a healthy & productive learning environment. Thanks!
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