Students' Quantitative Reasoning Skills
One of the first and most important steps to take prior to infusing QR in course instruction is having some data on students' QR skills, including their strengths and weaknesses. Some possible tools for gathering relevant data include course, program, and institutional QR assessment and evaluation; monitoring/tracking of student assignments and portfolios; and survey data on student QR skills as well as post-graduate placement (including graduate education and employment) and success. For example, several colleges and universities (e.g., Hollins University, Wellesley College) have implemented a Quantitative Reasoning (QR) assessment test that is administered to incoming students to gather baseline data. The section of NICHE that focuses on assessment provides some tools for how to gather these kinds of data.
International and National Data
Indeed, research has documented a widespread quantitative literacy gap throughout the United States. As Steen (2001: 1-2) has argued,
"Most U.S. students leave high school with quantitative skills far below what they need to live well in today's society; businesses lament the lack of technical and quantitative skills of prospective employees; and virtually every college finds that many students need remedial mathematics. Data from the National Assessment of Educational Progress (NAEP) show that the average mathematics performance of seventeen-year-old students [is] in the lower half of the "basic" range (286–336) and well below the "proficient" range (336–367)."
The 2003 National Assessment of Adult Literacy (NAAL) found that only 13% of adults ages 16 and over demonstrated proficiency in quantitative literacy.2 The QL disadvantage was most evident among females and economically disadvantaged minorities, a finding that is consistent with data showing a mathematical disadvantage among such students. For example, 2009 national data on proficiency in mathematics among 8th grade students reveal that 54% of Asian/Pacific Islander students scored at or above the proficient level, compared to 44% of white students, 18% of American Indian/Alaska Native students, 17% of Hispanic students and 12% of black students (Aud, Fox, and KewalRamani 2010). On a positive note, however, the NAAL found that overall quantitative literacy among adults increased from 1992 to 2003 (Kutner et al. 2007). At the same time, quantitative skills deficits are pervasive in society.
1The Survey of Adult Skills defined numeracy as "the ability to access, use, interpret and communicate mathematical information and ideas in order to engage in and manage the mathematical demands of a range of situations in adult life. A numerate adult is one who responds appropriately to mathematical content, information, and ideas represented in various ways in order to manage situations and solve problems in a real-life context. While performance on numeracy tasks is, in part, dependent on the ability to read and understand text, numeracy involves more than applying arithmetical skills to information embedded in text" (OECD 2013: 75).
2For purposes of NAAL, quantitative literacy was defined as "The knowledge and skills needed to identify and perform computations using numbers that are embedded in printed materials. Examples include balancing a checkbook, figuring out a tip, completing an order form, and determining the amount of interest on a loan from an advertisement" (Kutner et al. 2007: iii-iv).
Aud, Susan, Mary Ann Fox, and Angelina KewalRamani. 2010. Status and Trends in the Education of Racial and Ethnic Groups. Washington, DC: National Center for Education Statistics, Institute of Education Sciences, US Department of Education.
Kutner, Mark, Elizabeth Greenberg, Ying Jin, Bridget Boyle, Yung-chen Hsu, Eric Dunleavy, and Sheida White. 2007. Literacy in Everyday Life: Results from the 2003 National Assessment of Adult Literacy. Institute of Education Sciences National Center for Education Statistics. Washington, DC: United States Department of Education.
Organisation for Economic Co-operation and Development (OECD). 2013. OECD Skills Outlook 2013: First Results from the Survey of Adult Skills. OECD Publishing.
Steen, Lynn Arthur. Editor. 2001. Mathematics and Democracy: The Case for Quantitative Literacy. Princeton, NJ: National Council on Education and the Disciplines.