Keeping students engaged in the learning process greatly increase their chance of success in acourse. Traditional lecture-based math instruction has given way to a more student-engagedapproach where the students interact with the teacher in class and receive immediate feedbackto their responses. The teacher presence allows students, when incorrect in a response, to beguided through a solution and then immediately be given a similar problem to attempt.A researcher conducted a study to investigate whether an online homework system using anattempt-feedback-reattempt approach improved student learning over traditional pencil-andpaper homework. The online homework system was designed to increase student engagementoutside class, something commonly missing in traditional pencil-and-paper assignments,ultimately leading to increased learning.The study was conducted using two first-semester calculus classes taught by the researcher ina single semester. One class was assigned traditional homework and the other was assignedonline homework that used the attempt-feedback-reattempt approach. The summary data forcourse grades from both classes are displayed in the following frequency table.Traditional OnlineLetter grade A 10 7Letter grade B 9 10Letter grade C 7 5Letter grade D 4 3Letter grade F 3 2a) What is the research objective?b) Is this study an observational study or experiment? If this is an experiment, give anexample of how the researcher attempted to control variables in the study.c) From the data in the table, (i) identify the explanatory variable and response variable,and (ii) indicate whether the variables are qualitative or quantitative.d) Calculate the relative frequency distribution of course grades for the class assignedtraditional homework and that assigned online homework.e) If we were to compare the course grades between the class assigned traditionalhomework and that assigned online homework, what type of graph would you use todisplay the results?
Keeping students engaged in the learning process greatly increase their chance of success in a
course. Traditional lecture-based math instruction has given way to a more student-engaged
approach where the students interact with the teacher in class and receive immediate feedback
to their responses. The teacher presence allows students, when incorrect in a response, to be
guided through a solution and then immediately be given a similar problem to attempt.
A researcher conducted a study to investigate whether an online homework system using an
attempt-feedback-reattempt approach improved student learning over traditional pencil-andpaper homework. The online homework system was designed to increase student engagement
outside class, something commonly missing in traditional pencil-and-paper assignments,
ultimately leading to increased learning.
The study was conducted using two first-semester calculus classes taught by the researcher in
a single semester. One class was assigned traditional homework and the other was assigned
online homework that used the attempt-feedback-reattempt approach. The summary data for
course grades from both classes are displayed in the following frequency table.
Traditional Online
Letter grade A 10 7
Letter grade B 9 10
Letter grade C 7 5
Letter grade D 4 3
Letter grade F 3 2
a) What is the research objective?
b) Is this study an observational study or experiment? If this is an experiment, give an
example of how the researcher attempted to control variables in the study.
c) From the data in the table, (i) identify the explanatory variable and response variable,
and (ii) indicate whether the variables are qualitative or quantitative.
d) Calculate the relative frequency distribution of course grades for the class assigned
traditional homework and that assigned online homework.
e) If we were to compare the course grades between the class assigned traditional
homework and that assigned online homework, what type of graph would you use to
display the results?
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