This site is a tool that allows users to view the graph of a function as well as an approximated graph of the derivative. Users can also practice taking derivatives and see if their derivative graph matches the graph provided.
Type of Material:
Simulation
Recommended Uses:
The would be a good tool for in-class demonstrations and individual exploration.
Technical Requirements:
Any Browser
Identify Major Learning Goals:
One goal of this site is to allow users to visualize the graph of the derivative of a function in comparison to the graph of the original function. The site also provides an opportunity for users to practice taking derivatives. The site provides a good explanation of the topic.
Target Student Population:
Calculus I students.
Prerequisite Knowledge or Skills:
Pre-Calculus or current Calculus I.
Content Quality
Rating:
Strengths:
This is a very visual tool. Users have the ability to enter a function. The tool then displays the graph of the function and an approximated graph of the derivative. Users can enter the derivative of the function in another box or users can view various available examples in the example box to see if the graph of their derivative matches the approximated graph. Users can also explore the relationship between a derivative and its function by moving the curser along the x-axis to view corresponding points on both graphs. A link to more information regarding derivatives is included at the top of the page. Suggestions for exploration are included under the tool. The site includes a disclaimer making it clear that the tool does simple calculations and does not actually know the formula for the derivative of the entered function.
Concerns:
Some of the figures in the derivative summary information may not be very easy to interpret for users who are just beginning to explore the material.
There is a slider for a value of “a” at the bottom of the tool which can take on values between 0 and 2. It is not clear what this value represents.
Potential Effectiveness as a Teaching Tool
Rating:
Strengths:
This would be a great tool for use in in-class demonstrations when introducing derivatives. The feature allowing users to check the graph of their derivative with the approximated derivative graph could be beneficial to students who are just learning to take derivatives.
Concerns:
When entering functions like sin(x) or ln(x), users must be sure to enter the function using parentheses. It might be helpful to include a note on how functions should be entered.
Ease of Use for Both Students and Faculty
Rating:
Strengths:
This is a great visual tool. The use of color is helpful.
Concerns:
There is an advertisement at the bottom of the page, but it is not distracting.
Other Issues and Comments:
None
Creative Commons:
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