Problems in Chapter 22 and 23



Problems in Chapter 22 and 23

Purpose of the Study

The purpose of this study was to determine if the Involvement Technique new teaching method is effective in teaching algebra to first graders. I randomly sampled first graders from all first graders within the Lawrence City School System and taught them individually with the new method. The six students then took an eight-item test, with each item coded right (1) or wrong (0). Students received a total score for the number of correct answers. I analyzed the data using a single sample t test to determine if the students' results were significantly higher than a test value of 6 tests out of eight, which would indicate their ability to answer at least 75% of the questions.

H10: The students' mean score will not be significantly higher than 75%.

H1A: The students' mean score will be significantly higher than 75%.

Findings

Descriptive statistics. All students correctly answered Item(s), no student responded incorrectly to Items 1; no student responded incorrectly to Item 2; 1 students responded incorrectly to Item 3 and 3 students responded incorrectly to Item test 5 and 8. The results indicate that the six students had a mean score of 0.75 with a standard deviation of 0.176. Figure 1 illustrates the distribution of scores, indicating that the majority of students scored _ or higher.

Figure 1. Histogram of frequency of scores.

Inferential statistics. I utilized a single sample t test to determine if the students' results were significantly higher than a test value of 6, which would indicate their ability to answer at least 70% of the questions. The results indicate that the null hypothesis that students' mean score was not significantly higher than 75% was rejected, t(5) = 10.39, p = .00 (see Table 1).

Table 1: One-Sample Test

Test Value = 5

t

df

Sig. (2-tailed)

Mean Difference

95% Confidence Interval of the Difference

Lower

Upper

Total_score

10.392

5

.000

6.00000

4.5159

7.4841

Conclusion

One - sample t - test was conducted to determine the significance of the teaching method which John adapted to teach algebra to his students. This test was to analyze the hypothesis that whether the students significantly pass the eight item test or not. The results obtained from the one sample t - test leads to the conclusion of rejecting the null hypothesis and thus the students have successfully passed the eight item test. Therefore the the researcher should institute the new instruction in first grade classrooms.

Chapter 23: problems 1-5

Purpose of the ...