Math–verbal achievement gap

Graph showing the Math–Verbal Achievement Gap in the United States

The math–verbal achievement gap is a phenomenon first observed by Richard Rothstein in a brief, 2002 article written in The New York Times.^[1] This achievement gap reveals a growing disparity in the United States between the rising national average on the math portions of the college entry exams (SAT, ACT) as opposed to the flat-lining verbal portions on the same tests.

Historical Trends

Around 1980 the national average on the math portion of the SAT began its slow, but steady ascension over the national average for the verbal portion. It took only one decade for the math average to eclipse the verbal average, continuing to widen since that point. The difference is sizable and significant. The average SAT test-taker today produces a math score that is 13 points higher than their verbal score. However, this was not always the case. In fact, in the 1970s the relationship was precisely the opposite when national verbal scores routinely trumped the national math average by similar margins.^[1]

The first and only known academic analysis of this gap was conducted by James Lech Ed.D., M.T.S.^[2] Lech posited that this gap could be "collateral damage" from the well-documented academic and social "erosion" known as dumbing-down.^[3] In other words, the SAT math questions progressively eased in difficulty over time while the verbal difficulty levels 1) remained constant, or 2) dumbed-down at much slower rates.

Testing the "Dumbing Down" Hypothesis

To test that hypothesis Lech constructed scores of survey instruments compiled from the math questions derived from publicly released SATs from the early 1980s through 2005. The survey instruments were intentionally created to conceal the source of the questions in order to reduce reader-bias towards standardized testing. They were then disseminated to more than 1,500 qualified high school math teachers^[4] that were randomly selected from a pool of every high school (both public and private) in the United States. Their responses were tabulated. Lech found that the SAT math questions were not getting easier at all in the eyes of these math teachers; in fact they were getting slightly harder.

Alternative Hypotheses

The research hypothesis Lech tested was rejected: the questions on the math portions of the SAT are not getting easier over time. As noted, they are getting a little harder. This confounds the math-verbal achievement gap in general. What explains rising national averages, year-after-year, on the difficult math portions of the SAT as opposed to stagnating national verbal averages on the same test, during the same three decades?

Verbal Scores are Impacted by Outside Influences More than Math Scores

Richard Rothstein, in that 2002 NYT article, admitted that "Nobody really knows why we seem to make more progress in math than reading. But one likely cause is that students learn math mostly in school, while literacy also comes from habits at home. Even if reading instruction improves, scores would suffer if students did less out-of-school reading or had a less literate home environment."

Better Test Preparation Enhances Math Scores More So than Verbal Scores

Rothstein also suggested that the hugely successful SAT and ACT test preparation courses are unwittingly emphasizing mathematical prowess over verbal acuity. He rationalized that successful test-taking techniques taught in these courses to boost test scores work very well for multiple-choice math questions.^[5]

English Language Learners

Rothstein also highlighted that English-language-learners (hereinafter, ELL) in American schools were on the increase, and certainly that could have a downward pull on the national verbal average on these standardized tests. A serious point; It would seem likely that ELL status would adversely affect a student's verbal score to a greater extent as opposed to the mathematics portion on the same standardized test.

A Growing Technology Culture

Finally, Rothstein indicated that studies revealed then, as they still do now, that student reading was on the decline while television-watching by American youth was on the increase. These dual social trends, when combined, could negatively impact student verbal scores at higher rates than their math scores.^[5] However, it should be noted these behaviors also lower math scores - a point that Rothstein could have overlooked.^{[6] [7]} What Rothstein could not anticipate in 2002 is the exponential proliferation of text messages teenagers send and receive, and the potential for negative ramifications of that activity when it comes to progressing with their verbal skills. The New York Times notes that this "phenomenon is beginning to worry physicians and psychologists, who say it is leading to anxiety, distraction in school, falling grades, repetitive stress injury and sleep deprivation." ^[8] There may indeed be cause for concern as Neilsen's reported in 2008 that "American teenagers sent and received an average of 2,272 text messages per month in the fourth quarter of 2008 ... almost 80 messages a day, more than double the average of a year earlier (Ibid.). Neilsen's 2010 report indicates a 47 percent increase in teen texting to 3,339 texts per month (4,050 for female teens).^[9]

The AP Effect

Lech's alternative suggestions for further research in that 2007 dissertation indicated that it is quite likely the math–verbal achievement gap could be partially explained by the rapid proliferation of math and science Advanced Placement courses in American high schools. This wave of science and math AP courses, over that of humanities AP courses, is rising concurrently with higher math scores over that of verbal scores on these standardized tests.^[10] He added that this effect could be multiplied if large numbers of savvy students are front-loading the math and science AP courses in high school to intentionally "bone-up" for corresponding sections on the SAT/ACT. Indeed there does seem to be a solid preference for better math and science marks by college admission personnel. This would simultaneously explain both better scores on the math portions of the SAT/ACT and stagnating verbal scores on those tests. After all, AP English in 12th grade will not provide praxis for college-entry tests taken in 11th grade.

Increasing Asian student population in the United States

Dr. Lech also contended that chain-migration from South Asia, West Asia, and East Asia during these same decades could also be positively influencing these rising SAT math scores (while simultaneously suppressing the verbal scores as many of those students may also be ELL students as well). That's because he noted the number of Asian students taking the SAT are disproportionately overrepresented during the very years when this math–verbal gap really takes form. Typically the number of Asian students taking the SAT is more than 100 percent higher than their overall numbers in the U.S. population.^[11] That is significant because, as Lech pointed out, Asian students themselves averaged 580 (out of a possible 800) on the math portion of the SAT in 2005, but the national math average that same year (which mathematically includes those high-scoring Asian students) was only 520.^[12]

Possible Differences in the Quality of Math Teachers over that of English Teachers

Lastly, Lech agreed with Rothstein that another influence on the math–verbal achievement gap could be the quality of the math teachers themselves. Lech referenced literature indicating that U.S. math teachers tend to be much better organized than their humanities counterparts across the hall.^[13] Rothstein held that American math teachers tend to be better trained because they have more resources available like the extremely large $1 billion cash grant from the National Science Foundation for math and science instruction in high school which English teachers cannot reap.

See also

• Achievement gap in the United States

References

1. ^ ^{a b} Rot hs tein, Richard (August 28, 2002). "LESSONS; Sums vs. Summarizing: SAT's Math–Verbal Gap". New York Times. http://www.nytimes.com/2002/08/28/nyregion/lessons-sums-vs-summarizing-sat-s-math-verbal-gap.html. Retrieved June 8, 2010. 
2. ^ Lech, James Carl, Ed.D. (2007). The math–verbal achievement gap: Are we getting better at math, or are the SAT questions getting easier? (Thesis). Peabody College for Teachers of Vanderbilt University. http://gradworks.umi.com/32/63/3263829.html. - Total pages: 34; United States Copyright Office Registration Number: TX 6-534-442; AAT 3263829
3. ^ Washburn, Katharine (1997). Dumbing down: essays on the strip mining of American culture (1997 ed.). W.W. Norton. ISBN 9780393317237. 
4. ^ A qualified High School Math teacher was considered a person with a B.S. in mathematics and a handful of years of instruction, or a teacher without a math degree that taught Algebra II or higher for a significant number of years.
5. ^ ^{a b} Rich, Motoko (November 19, 2007). 19/arts/19nea.html?_r=1 "Study Links Drop in Test Scores to a Decline in Time Spent Reading". New York Times. http://www.nytimes.com/2007/11/ 19/arts/19nea.html?_r=1. Retrieved June 8, 2010. 
6. ^ Huang, Fali; Myoung-Jae Lee (2010). "Dynamic Treatment of Effect Analysis of TV Effects". Journal of Applied Econometrics 25: 392–419. doi:10.1002/jae.1165. http://www.mysmu.edu/faculty/flhuang/paper/TvEffect2008.pdf. Retrieved 16 May 2011. 
7. ^ Borzekowski, Dina; Thomas N. Robinson (2005). "The Remote, the Mouse, and the No. 2 Pencil: The Household Media Environment and Academic Achievement Among Third Grade Students". Archives of Pediatrics and Adolescent Medicine 159 (7): 607–613. http://archpedi.ama-assn.org/cgi/content/abstract/159/7/607. Retrieved 16 May 2011. 
8. ^ Hafner, Katie (May 29, 2009). "Texting May Be Taking a Toll". New York Times. http://www.nytimes.com/2009/05/26/health/26teen.html?_r=4&partner=rss&emc=rss. Retrieved 16 May 2011. 
9. ^ "U.S. Teen Mobile Report: Calling Yesterday, Texting Today, Using Apps Tomorrow". Neilsen Wire. http://blog.nielsen.com/nielsenwire/online_mobile/u-s-teen-mobile-report-calling-yesterday-texting-today-using-apps-tomorrow/. Retrieved 16 May 2011. 
10. ^ "The College Board's Archived AP research and reports". professionals.collegeboard.com. 2010. http://professionals.collegeboard.com/data-reports-research/ap/nation. Retrieved June 8, 2010. 
11. ^ "The Asian Population: 2000" (PDF). http://www.census.gov/prod/2002pubs/c2kbr01-16.pdf. Retrieved 2010-06-02. 
12. ^ "Archived SAT Data & Reports". professionals.collegeboard.com. 2010. http://professionals.collegeboard.com/data-reports-research/sat/archived/. Retrieved June 8, 2010. 
13. ^ Ravitch, Diane (2001). Left back: a century of failed school reforms (2001 ed.). Simon & Schuster. p. 440. ISBN 9780743203265. 

External links

• National Council of the Teachers of Mathematics