Quantitative Literacy Assessment At Kennedy King College Fall 2013 Prepared by Robert Rollings, spring 2014 1 DRAFT - FOR DISCUSSION ONLY Quantitative Literacy Assessment In fall 2013, 567 KKC students participated in an assessment of success in the following objectives: 1. Demonstrate understanding of mathematical processes by applying to real world phenomenon through engage in critical literacy 2. Apply mathematical exposition, including descriptions of algorithms and derivations of formulas, presented either orally or in writing 3. Determine whether a theorem or definition applies to a given situation, and use it appropriately if it applies 4. Analyze mathematical models in written language, in symbolic form, in graphic form, and interpret the solutions The assessment consisted of 11 questions concerning a student’s math history and demographics, 4 questions concerning attitudes toward math, and 10 math problems designed to test the above learning outcomes. Following a presentation of raw survey results, this report will examine correlations to determine which variables (if any) best predict student performance. 2 DRAFT - FOR DISCUSSION ONLY Demographics Survey respondents were reasonably representative of the student body as a whole, except for a disproportionate inclusion of full-time students. # of Respondents by Credit Hours Completed 170 180 # of Respondents by Enrollment Status # of Respondents by Gender 456 365 160 202 143 111 140 120 Male Part-Time Female Full-Time 100 77 80 Have you ever had to repeat a math course? 64 63 50 60 No 40 20 464 Yes 103 0 12 or less 13-25 26-38 39-51 52-64 0 65 or more 100 510 162 122 150 300 100 200 50 100 0 2 1 22 15 15 1 0 500 250 200 400 400 276 300 500 300 # of Respondents by Age Category # of Respondents by Race/Ethnicity 600 200 4 3 17 or less 18-26 27-40 41-60 61 or more 0 3 DRAFT - FOR DISCUSSION ONLY # Respondents by Math Enrollment or Eligibility 252 300 Attitudes toward Math 229 200 84 100 0 Dev Ed Math 118-140 Math 141-299 239 400 309 176 200 82 0 0 I need a good understanding of math to achieve my career goals. 300 # Respondents by Math Courses already Completed 1 to 2 3+ Solving some mathematical problems involves knowing different strategies to try. 260 400 294 300 200 252 200 100 14 54 100 Strongly Disagree Disagree Agree Strongly Agree 15 Strongly Disagree Disagree 299 300 172 200 82 176 200 106 100 14 22 0 Strongly Disagree Strongly Agree 263 300 400 Agree Mathematics has been an important tool to help me learn other subjects. Mathematical thinking helps me make intelligent decisions about my life. 100 6 0 0 Disagree Agree Strongly Agree 0 Strongly Disagree Students broadly agreed with the value of math, but they did not agree as strongly with its value for life decisions or for learning in other subjects as they agreed with its necessity for their careers. Disagree Agree Strongly Agree 4 DRAFT - FOR DISCUSSION ONLY Assessment Results Students overall appear to have found the math assessment quite challenging. The top score of all 567 respondents was a 93%, and the average overall score was 36% The ten math problems addressed a varying set of the four SLOs, with all questions addressing SLO 1. Average scores on the math assessment, divided by learning objectives, are as follows: Standard Deviation in Percentage Points Average Success according to SLO SLO 1: Demonstrate understanding of mathematical processes by applying to real world phenomenon through engage in critical literacy 17% 36% SLO 2: Apply mathematical exposition, including descriptions of algorithms and derivations of formulas, presented either orally or in writing 25% 17% SLO 3: Determine whether a theorem or definition applies to a given situation, and use it appropriately if it applies 41% SLO 4: Analyze mathematical models in written language, in symbolic form, in graphic form, and interpret the solutions 19% 31% 0% 5% 10% 15% 20% 25% 30% These low-sounding numbers do not necessarily mean that students perform poorly at these skills; such an assessment is impossible without some manner of benchmark for comparison. However, we can say that our students on the whole performed better at applying theorems to a given situation than at mathematical exposition. 35% 15% 40% 45% 5 DRAFT - FOR DISCUSSION ONLY With which variables did student success correlate? Women slightly outperformed men (with 37% versus 35% average success). Older students slightly outperformed younger students. Students in math-heavy majors (measured roughly on a scale of 1-10) outperformed students in less math-heavy majors. Students who believed that math helps them make intelligent decisions in life outperformed students who did not—and by a more significant margin than agreement with the questions concerning careers, learning, or problem strategies (p<.0002). The best predictor of a high score was math enrollment or eligibility; the direct correlation had a p<.0000004 and an R of .043 in a linear regression. In other words, students enrolled or eligible in higher math classes scored better on the assessment. This obvious-sounding point becomes more telling in light of what is not correlated: number of credit hours and number of math classes taken at KKC. No statistically significant relationship exists between having taken classes (or math classes specifically) at KKC and succeeding on this assessment. 6 DRAFT - FOR DISCUSSION ONLY This presentation is currently a work in progress. How can Kennedy King and its math classes teach the practical reasoning skills relevant to this assessment? 7 DRAFT - FOR DISCUSSION ONLY 8 DRAFT - FOR DISCUSSION ONLY