Problem Solving
Strong problem solving skills are important to not only exhibit in the math classroom but throughout all parts of life. The students should be able to come up with the correct strategy to solve a given problem and reflect on the process in which they used to come up with a solution.
Reasoning and Proof
Students should be able to come up with their own arguments and ideas about a topic using viable reasoning techniques and having evidence to support their conjecture. They will also be able to look at arguments of their peers or others and investigate the truth behind the claim.
Communication
In mathematics, there is a very specific and unique sort of communication that is expected. Students should be able to communicate mathematical ideas to their teachers and peers. They will also be able to analyze the reasoning of others and explain their opinions about the topic.
Connections
Nearly all topics in mathematics connect to one another and many build upon other concepts in math. It is important that all students understand this and can relate the topics together. This will deepen their understanding of mathematics as a whole.
Representations
The use of models whether it be graphs or three dimensional objects can be a great way to visualize the information. Students should be able to organize the information they know to create a representation, analyze all representations, and alter the information if necessary.
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