Peer Review

 This applet is visual, interactive and easy to use.  Users can input their own function and can select the bounds by entering them in the starting and ending value boxes or by sliding points on the graph.  Users can also use a slider to adjust the number of rectangles, up to 100.  Through the use of another slider, users can view sums calculated using left, midpoint, or right rectangles.   

The site’s strength lies in its ability for its interactive visualizations, allowing the learner to dynamically adjust partitions, and step sizes to see instant results. Its clean interface, real-time feedback, and customization options make it an engaging and effective tool for exploring integral approximations.

The sum of the areas of the rectangles is displayed at the top of the graph, as is the setup and solution for the definite integral that would be used to calculate the area.  While this tool does a good job of visualizing Riemann sums in most cases, it may display incorrect answers when divergent integrals are involved. 

The tool doesn’t provide step-by-step problem-solving examples or real-world applications to connect the material to practical contexts.

This applet is a great visualization tool for many functions.   Being able to use the slider to increase the number of rectangles and see the sum of the areas approach the value of the definite integral might be helpful for many students.  This would be a great tool to use for in-class demonstrations.

The tool is highly effective for student learning due to its interactive, visual approach that helps build intuition about integral approximations. The ability to manipulate partition types, intervals, and step sizes in real-time enhances engagement and provides immediate feedback, fostering a deeper understanding of the relationship between Riemann sums and definite integrals.

Given that the incorrect answer may be displayed in some cases, this might not be a good tool for individual use and may cause confusion among some users.

The module lacks instructional scaffolding, which may leave students confused if they are new to Riemann sums. It also does not provide a way to define or input more complex functions beyond basic examples, limiting exploration of advanced applications. Additionally, it could benefit from built-in tutorials or explanations to guide independent learning.

This applet is very interactive and the Calculator excels in usability with its intuitive interface, easy-to-navigate controls, and real-time visual feedback. Its seamless customization options for partitions and methods make it accessible and user-friendly for students at various learning levels.