Search ETDs:
A Statistical Analysis of Online Homework Systems: Homework Completion vs. Student Knowledge
Lampard, Ayla Brianne

2015, Master of Mathematical Sciences, Ohio State University, Mathematics.
In this paper we aim to answer two questions about online homework systems:

(1) Are the grades that a student receives on an assignment an accurate representation of the knowledge the student has over the material?
(2) How should we decide when an assignment is complete?

To set the stage, we first summarize two of the most popular online homework systems, WebAssign and Khan Academy and discuss the possible drawbacks of using either of them. We then use martingales and the optional stopping theorem to show that common criteria for completing a homework assignment tells us nothing about the amount of knowledge a student has gained while working on the assignment. Finally we theorize about the implementation of hidden Markov models in such systems as a different means of determining when we consider an assignment complete.
Rodica Costin (Advisor)
Bart Snapp (Other)
Michael Battista (Committee Member)
72 p.

Recommended Citations

Hide/Show APA Citation

Lampard, A. (2015). A Statistical Analysis of Online Homework Systems: Homework Completion vs. Student Knowledge . (Electronic Thesis or Dissertation). Retrieved from https://etd.ohiolink.edu/

Hide/Show MLA Citation

Lampard, Ayla. "A Statistical Analysis of Online Homework Systems: Homework Completion vs. Student Knowledge ." Electronic Thesis or Dissertation. Ohio State University, 2015. OhioLINK Electronic Theses and Dissertations Center. 23 Nov 2017.

Hide/Show Chicago Citation

Lampard, Ayla "A Statistical Analysis of Online Homework Systems: Homework Completion vs. Student Knowledge ." Electronic Thesis or Dissertation. Ohio State University, 2015. https://etd.ohiolink.edu/

Files

Absolute Final Draft Thesis.pdf (335.15 KB) View|Download