Journal Article Review: Identifying Logical Necessity

This article explains the increasing importance of teachers being able to make sound judgments in regards to the logic that is often used in mathematical arguments. Logical Necessity is defined as the condition for which conclusions follow necessarily from premises. Throughout the article, examples of student work is given. These examples include problems from which individual's have to determine the correct solution based on the correct logic. They are to give their own logic and then they also look at students' logic to determine the correct response.

It is shown that through feedback from the instructor concerning specific ways the student can improve, the individual will improve and correct logic will start to become more natural. It is vital that the instructor not only show the student where they are wrong, but must give them direction in how to improve through proof and reasoning. Logical Necessity should not only be taught in the elementary school, but in other subjects as well in order to more thoroughly equip themas they progress through other grades.

According to Stylianides's conception of proof, it is a mathematical argument, a connected sequence of assertions for or against a mathematical claim that follows: statements, argumentation, and representation.

It is proven that teachers who exercise logical necessity in their reasoning and proof will also be able to instill this skill in their students. It is important to teach learners how to reason answers through logic and proof; not just what the answers are.