This page contains a calculator that computes arithmetic relations between two integers or polynomials. This includes gcd, lcm, Euclidean division, and Bezout relation.
Type of Material:
Simulation
Recommended Uses:
This can be used by the individual student to check their work and see examples.
Technical Requirements:
Any browser that accepts JavaScript
Identify Major Learning Goals:
Calculate the gcd, lcm, Bezout relation, and Euclidean algorithm for two integers, expressions, or polynomials.
Target Student Population:
College Lower Division, College Upper Division
Prerequisite Knowledge or Skills:
The basics of number theory.
Content Quality
Rating:
Strengths:
This site includes the ability to find the gcd and lcm of two numbers, expressions or polynomials. It also can factor, find the Bezout relation and perform the Euclidean algorithm. It also accepts any variable and not just “x”.
The Calculator includes the ability to find the gcd and lcm of two or more numbers, expressions or polynomials. It also can factor, find the Bezout relation and perform the Euclidean algorithm. It also accepts variable.
Concerns:
The calculator does not have any explanation and notes. In addition, does not have a built in keypad.
It does not have any explanation of the concepts nor does it have any links to explanations.
Potential Effectiveness as a Teaching Tool
Rating:
Strengths:
This site allows for student to put in any example of two whole numbers, expressions or polynomials and shows some of the main number theory items for them. Students can explore how they are arrived and see the steps that are taken.
The calculator evaluate any example of two or more whole numbers, expressions or polynomials and shows cd, lcm, Euclidean division,and Bezout relation.
Concerns:
Without accompanying materials, there is no way for students to get additional number theory information to help them understand how the calculations were made or what the concepts are.
The student will not understand the objective unless additional notes are given. It does not identify the prerequisite.
Ease of Use for Both Students and Faculty
Rating:
Strengths:
The layout is clear and the entries are easy to use with just simple checkboxes and fill in the blank. There is a “Samples” help button so that students will mostly be able to enter in the math equation for the function.
Concerns:
None.
Creative Commons:
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