Standards for Mathematical Practice
Question 1
Standard 1 is titled Make sense of problems and persevere in solving them. This standard encourages teachers to develop student’s ability to understand and tackle problems. A practical method is the incorporation of different approaches to solution generation and asking students to evaluate the success of the various techniques (The University of Texas, 2020). The standard 2 titled reason abstractly and quantitatively guides teachers in developing students to understand how mathematical symbols generate solution strategies.
Standard 3 guides teachers to develop students’ ability to generate viable arguments and evaluate the thinking of fellow students. Collaboration among students is encouraged as they analyze and evaluate the thoughts of fellow students. Standard 4 guides instructors to encourage learners to model with mathematics (The University of Texas, 2020). This entails drawing mathematical representation with real world scenarios. Standard 5 entails developing the students’ capacity to apply mathematical tools appropriately when generating solutions. Students should be made to understand why different mathematical tools are encouraged in the problem-solving process.
Standard 6 encourages teachers to develop the students’ ability to aim for clarity and accuracy when generating solutions. This standard helps in creating learners that value the precision of a method applied in problem-solving. Standard 7 is titled look for and make use of structure. It ensures students are developed to identify and evaluate effective solution strategies (The University of Texas, 2020). Standard 8 encourages teachers to establish an environment that encourages students to express regularity in repeated reasoning. The standard further guides teachers to follow and elaborate on a learner’s thinking during problem-solving.
Question 2
In standard 1, titled “Make sense of problems and persevere in solving them,” the teacher presents different representations of mathematical problems. Therefore, this practice helps the students to develop capacity in understanding a mathematical problem from different angles. Standard 2 has an instructor who presents a model of two bottles joined to each other, so that fluid flow between them is enabled (The University of Texas, 2020). The use of real-world examples in developing mathematical solution encourages students to understand and grasp concepts.
References
The University of Texas Dana Center. (2020). Mathematical Practice Standards | Inside Mathematics. The University of Texas Dana Center. Retrieved 24 August 2020, from https://www.insidemathematics.org/common-core-resources/mathematical-practice-standards.