Additional Online Case Studies & Appendices

Questions about College Algebra
Appendix A:  Comparison of success of College Algebra sections taught in different formats

Each chapter’s data consists of two tables.  The first shows the number of times each section ranked first, second or third for a particular objective, as measured by the number of students who got questions correct for each objective that was tested.  The second averages each section’s performance on all the common objectives.  The sections of College Algebra are labeled as follows:

Section A: Met 3 days per week and had an Explorations Laboratory.
Section B: Met 5 days per week.
Section C: Met 3 days per week.

A “first” for a section indicates that that section performed best on a given question, e.g. they had the highest percentage of correct answers.  A “second” indicates that a section had the second highest percentage of correct answers for a question, and so on.

Chapter 1
 Section/Rank Firsts Seconds Thirds Section A 2 7 9 Section B 12 2 4 Section C 4 10 4

 Section Average Percent Correct Section A 44 Section B 56 Section C 49 All Sections 50

Chapter 2
 Section/Rank Firsts Seconds Thirds Section A 2 8 3 Section B 8 1 4 Section C 5 2 6

 Section Average Percent Correct Section A 62 Section B 68 Section C 65 All Sections 65

Chapter 3
 Section/Rank Firsts Seconds Thirds Section A 1 10 2 Section B 9 2 2 Section C 5 0 8

 Section Average Percent Correct Section A 53 Section B 65 Section C 53 All Sections 57

Chapter 4
 Section/Rank Firsts Seconds Thirds Section A 5 4 0 Section B 1 3 5 Section C 2 2 5

 Section Average Percent Correct Section A 51 Section B 37 Section C 40 All Sections 43

Chapter 5
 Section/Rank Firsts Seconds Thirds Section A 1 4 5 Section B 6 3 1 Section C 3 4 3

 Section Average Percent Correct Section A 58 Section B 67 Section C 61 All Sections 62

Chapter 6
 Section/Rank Firsts Seconds Thirds Section A 1 5 4 Section B 5 4 1 Section C 4 2 4

 Section Average Percent Correct Section A 65 Section B 72 Section C 71 All Sections 69

Chapter 7
 Section/Rank Firsts Seconds Thirds Section A 0 4 6 Section B 7 1 2 Section C 4 5 1

 Section Average Percent Correct Section A 69 Section B 79 Section C 78 All Sections 75

Note that the final exam was a 40 question, multiple-choice exam.  We see that Section A had the highest percentage of correct answers on 22 of 40 questions.

Final Exam
 Section/Rank Firsts Seconds Thirds Section A 22 12 6 Section B 13 13 14 Section C 16 16 8

 Section Average Percent Correct Section A 54 Section B 49 Section C 53 All Sections 52