Essential features of this applet are: Interactive applet exploring an optimization problem. Developed using open source GeoGebra software. Problem-solving skills with calculus. Users can interactively explore the cost of lying the wire by sliding the slider of several variables: cost of lay wire underwater/on land, the distance of the island from the shore, the distance of power station from the shoreline.
Type of Material:
Simulation
Recommended Uses:
In-class demonstration of the optimization problem in the class by the teacher
Assignment/ homework
Teamwork for solving different scenarios.
Technical Requirements:
Any web browser
Identify Major Learning Goals:
Major learning goals of this material are: Introduction to max/min problem in calculus. User/Student can visualize several scenarios by varying several parameters. Student/user can calculate min cost by applying calculus and check the results using the slider experimentally.
Target Student Population:
Calculus I course, and introduction to management subjects such as Operation Research.
Prerequisite Knowledge or Skills:
Basic knowledge of Algebra, Pre-Calculus and Graphing. Ability to learn and use GeoGebra Graphing Calculator (Not a pre-requisite for users); however, for faculties learning GeoGebra might help them to improve their teaching methodology and ability to present a complex topic in a simple way.
Content Quality
Rating:
Strengths:
The interactive simulation allows users to simulate various scenarios: directly under water, max on land and rest underwater, and adjusting the cost/meter to find the total cost of laying the wire. It introduces students to max/min problems in calculus and introduces users how to minimize the cost of laying the wire. It helps with problem-solving skills. and applying calculus to real-world problems.
Concerns:
Reset the applet to its initial condition (the icon in the top right corner) is not shown or not working
Potential Effectiveness as a Teaching Tool
Rating:
Strengths:
The outstanding features of this applet are as follows: Introducing students to one of the interesting topics in Calculus I courses i.e. Optimization using max/min, focusing on the process (enabling users/students to form equations from situations that can be manipulated into what they need), and finding the point on the shore that minimizes the total cost of the project. Some interesting questions have been asked in the materials.
Ease of Use for Both Students and Faculty
Rating:
Strengths:
It is interactive and allows users to look for several scenarios by sliding various parameters.
It works on Desktop/notebook/tablet/smartphone chrome/Firefox/Microsoft edge.
GeoGebra is an open-source software.
Content & Questions in the material are pertinent and improves learning skill.
It is asy to navigate and use.
Concerns:
Reset the applet to its initial condition (the icon in the top right corner) not shown or not working
Creative Commons:
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