Two different teaching methods are being compared to the traditional (lecture) method of teaching calculus. Method one (computer) uses the computer for homework, exploratory projects, drill on concepts, and testing (by random computer generated tests). Method two (project) uses a graphing calculator, weekly projects to guide students through concepts, class discussion, and student presentations. Random samples of student exam scores from each of the three groups (lecture, computer, and project) are to be compared. Assume the following: - These groups of students had never been exposed to calculus previously; - All three groups of students were equivalent initially so that any difference among groups could be attributed to the teaching strategy employed; - The sample came from normally distributed populations with homogeneity of variance already met; and - The same final exam was given and grades from this final represent at least interval data. According to final exam scores seen in the three samples, which approach, if any, does the best job of teaching calculus? Construct an ANOVA table, state the null hypothesis, give the test statistic clearly, give your conclusion and interpret. Add solutions
Two different teaching methods are being compared to the traditional (lecture) method of teaching calculus. Method one (computer) uses the computer for homework, exploratory projects, drill on concepts, and testing (by random computer generated tests). Method two (project) uses a graphing calculator, weekly projects to guide students through concepts, class discussion, and student presentations. Random samples of student exam scores from each of the three groups (lecture, computer, and project) are to be compared. Assume the following:
- These groups of students had never been exposed to calculus previously;
- All three groups of students were equivalent initially so that any difference among groups could be attributed to the teaching strategy employed;
- The sample came from
- The same final exam was given and grades from this final represent at least interval data.
According to final exam scores seen in the three samples, which approach, if any, does the best job of teaching calculus? Construct an ANOVA table, state the null hypothesis, give the test statistic clearly, give your conclusion and interpret. Add solutions
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