So to construct a viable argument in math means to explain the mathematical steps you took to reach a correct answer.
Constructing Viable Arguments in Writing
Have you ever written an essay with a thesis? A thesis is a statement that you are attempting to show is true in an essay.
Typically, you will state your thesis toward the beginning of your essay. Then you will give evidence in support of your thesis throughout the remaining paragraphs of your essay.
This is a great example of constructing a viable argument. The argument is all of the evidence in support of your thesis that you share in your essay. What would happen if you did not have an argument? All you’d have is a thesis! Would a reader of your essay be convinced of your idea? Probably not, because you would not have provided any evidence to back it up.
Being able to critique the reasoning of others is also important in math. To critique means to carefully evaluate something. Therefore, to critique the reasoning of others means to carefully look at someone else’s work and determine whether it is correct and/or how it could be improved
. In math, this involves analyzing the steps and methods used by someone else to solve a problem and assessing their validity and effectiveness.
Constructing viable arguments in writing and critiquing the reasoning of others in math both share similar principles. In both cases, you need to carefully evaluate the evidence, reasoning, and logic presented and determine if they are valid, sound, and logical.
In math, constructing a viable argument means clearly and logically presenting the mathematical steps and processes taken to arrive at a correct answer or solution. It is important to explain each step, showing how it is supported by mathematical principles and theorems. By doing so, you are able to demonstrate the validity and coherence of your solution.
Similarly, when critiquing the reasoning of others in math, you need to carefully analyze the steps and methods used by someone else to solve a problem. You should assess the accuracy and soundness of the reasoning presented, identifying any errors or gaps in logic. You can also suggest alternative approaches or improvements that could make their solution more accurate or efficient.
Both constructing viable arguments in writing and critiquing the reasoning of others in math require a careful and thorough understanding of the mathematical concepts and principles involved. It is essential to communicate your thoughts clearly and concisely, providing evidence and justification for your claims or evaluations.
In conclusion, constructing viable arguments in writing and critiquing the reasoning of others in math are both important skills that require the ability to analyze, evaluate, and communicate mathematical ideas effectively. By constructing clear and logical arguments and critically assessing the reasoning of others, we can enhance our understanding and appreciation of mathematics.