IDEAS home Printed from https://ideas.repec.org/a/aea/aecrev/v106y2016i6p1244-77.html

Do Schools Matter for High Math Achievement? Evidence from the American Mathematics Competitions

Author

Listed:
  • Glenn Ellison
  • Ashley Swanson

Abstract

This paper uses data from the American Mathematics Competitions to examine the rates at which different high schools produce high-achieving math students. There are large differences in the frequency with which students from seemingly similar schools reach high achievement levels. The distribution of unexplained school effects includes a thick tail of schools that produce many more high-achieving students than is typical. Several additional analyses suggest that the differences are not primarily due to unobserved differences in student characteristics. The differences are persistent across time, suggesting that differences in the effectiveness of educational programs are not primarily due to direct peer effects.

Suggested Citation

  • Glenn Ellison & Ashley Swanson, 2016. "Do Schools Matter for High Math Achievement? Evidence from the American Mathematics Competitions," American Economic Review, American Economic Association, vol. 106(6), pages 1244-1277, June.
    • Handle: RePEc:aea:aecrev:v:106:y:2016:i:6:p:1244-77
    Note: DOI: 10.1257/aer.20140308
    as

    Download full text from publisher

    File URL: https://www.aeaweb.org/articles?id=10.1257/aer.20140308
    Download Restriction: no
    File URL: https://www.aeaweb.org/articles/attachments?retrieve=eS2I_JBqMD0rNzvpsfIdTDUsr9eWWROD
    Download Restriction: no
    File URL: https://www.aeaweb.org/articles/attachments?retrieve=_CL3LUKPF1lrpaKv8VAiu9TPL8xLM3VT
    Download Restriction: no
    File URL: https://www.aeaweb.org/articles/attachments?retrieve=zI7yk7XQ1zOXll5qhdpmiTHbJQuU4eBb
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Christopher Avery & Caroline Hoxby & Clement Jackson & Kaitlin Burek & Glenn Pope & Mridula Raman, 2006. "Cost Should Be No Barrier: An Evaluation of the First Year of Harvard's Financial Aid Initiative," NBER Working Papers 12029, National Bureau of Economic Research, Inc.
    2. Brannas, Kurt & Rosenqvist, Gunnar, 1994. "Semiparametric estimation of heterogeneous count data models," European Journal of Operational Research, Elsevier, vol. 76(2), pages 247-258, July.
    3. Thomas S. Dee & Brian Jacob, 2011. "The impact of no Child Left Behind on student achievement," Journal of Policy Analysis and Management, John Wiley & Sons, Ltd., vol. 30(3), pages 418-446, June.
    4. Juanna Schrøter Joensen & Helena Skyt Nielsen, 2009. "Is there a Causal Effect of High School Math on Labor Market Outcomes?," Journal of Human Resources, University of Wisconsin Press, vol. 44(1).
    5. Joseph G. Altonji & Erica Blom & Costas Meghir, 2012. "Heterogeneity in Human Capital Investments: High School Curriculum, College Major, and Careers," Annual Review of Economics, Annual Reviews, vol. 4(1), pages 185-223, July.
    6. Will Dobbie & Roland G. Fryer Jr., 2014. "The Impact of Attending a School with High-Achieving Peers: Evidence from the New York City Exam Schools," American Economic Journal: Applied Economics, American Economic Association, vol. 6(3), pages 58-75, July.
    7. Joshua Angrist & Eric Bettinger & Erik Bloom & Elizabeth King & Michael Kremer, 2002. "Vouchers for Private Schooling in Colombia: Evidence from a Randomized Natural Experiment," American Economic Review, American Economic Association, vol. 92(5), pages 1535-1558, December.
    8. Derek Neal & Diane Whitmore Schanzenbach, 2010. "Left Behind by Design: Proficiency Counts and Test-Based Accountability," The Review of Economics and Statistics, MIT Press, vol. 92(2), pages 263-283, May.
    9. Eric Marcon & Florence Puech, 2003. "Evaluating the geographic concentration of industries using distance-based methods," Journal of Economic Geography, Oxford University Press, vol. 3(4), pages 409-428, October.
    10. Eric A. Hanushek & Ludger Woessmann, 2008. "The Role of Cognitive Skills in Economic Development," Journal of Economic Literature, American Economic Association, vol. 46(3), pages 607-668, September.
    11. Gilles Duranton & Henry G. Overman, 2005. "Testing for Localization Using Micro-Geographic Data," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(4), pages 1077-1106.
    12. Caroline Hoxby & Christopher Avery, 2013. "The Missing "One-Offs": The Hidden Supply of High-Achieving, Low-Income Students," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 44(1 (Spring), pages 1-65.
    13. Devin G. Pope & Justin R. Sydnor, 2010. "Geographic Variation in the Gender Differences in Test Scores," Journal of Economic Perspectives, American Economic Association, vol. 24(2), pages 95-108, Spring.
    14. Sa A. Bui & Steven G. Craig & Scott A. Imberman, 2014. "Is Gifted Education a Bright Idea? Assessing the Impact of Gifted and Talented Programs on Students," American Economic Journal: Economic Policy, American Economic Association, vol. 6(3), pages 30-62, August.
    15. Patrick Bayer & Christopher Timmins, 2007. "Estimating Equilibrium Models Of Sorting Across Locations," Economic Journal, Royal Economic Society, vol. 117(518), pages 353-374, March.
    16. Will Dobbie & Roland G. Fryer, 2011. "Are High-Quality Schools Enough to Increase Achievement among the Poor? Evidence from the Harlem Children's Zone," American Economic Journal: Applied Economics, American Economic Association, vol. 3(3), pages 158-187, July.
    17. Glenn Ellison & Ashley Swanson, 2010. "The Gender Gap in Secondary School Mathematics at High Achievement Levels: Evidence from the American Mathematics Competitions," Journal of Economic Perspectives, American Economic Association, vol. 24(2), pages 109-128, Spring.
    18. A. Colin Cameron & Pravin K. Trivedi, 1986. "Econometric models based on count data. Comparisons and applications of some estimators and tests," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 1(1), pages 29-53, January.
    19. Pallais, Amanda & Turner, Sarah, 2006. "Opportunities for Low–Income Students at Top Colleges and Universities: Policy Initiatives and the Distribution of Students," National Tax Journal, National Tax Association;National Tax Journal, vol. 59(2), pages 357-386, June.
    20. Card, David & Krueger, Alan B, 1992. "Does School Quality Matter? Returns to Education and the Characteristics of Public Schools in the United States," Journal of Political Economy, University of Chicago Press, vol. 100(1), pages 1-40, February.
    21. John M. Krieg, 2008. "Are Students Left Behind? The Distributional Effects of the No Child Left Behind Act," Education Finance and Policy, MIT Press, vol. 3(2), pages 250-281, April.
    22. Hanushek, Eric A, 1986. "The Economics of Schooling: Production and Efficiency in Public Schools," Journal of Economic Literature, American Economic Association, vol. 24(3), pages 1141-1177, September.
    23. Caroline Minter Hoxby, 2003. "School Choice and School Productivity. Could School Choice Be a Tide that Lifts All Boats?," NBER Chapters, in: The Economics of School Choice, pages 287-342, National Bureau of Economic Research, Inc.
    24. Joseph G. Altonji, 1995. "The Effects of High School Curriculum on Education and Labor Market Outcomes," Journal of Human Resources, University of Wisconsin Press, vol. 30(3), pages 409-438.
    25. Glenn Ellison & Edward L. Glaeser & William R. Kerr, 2010. "What Causes Industry Agglomeration? Evidence from Coagglomeration Patterns," American Economic Review, American Economic Association, vol. 100(3), pages 1195-1213, June.
    26. Anders Skrondal & Sophia Rabe‐Hesketh, 2009. "Prediction in multilevel generalized linear models," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 172(3), pages 659-687, June.
    27. Caroline M. Hoxby, 2000. "Does Competition among Public Schools Benefit Students and Taxpayers?," American Economic Review, American Economic Association, vol. 90(5), pages 1209-1238, December.
    28. Atila Abdulkadiroğlu & Joshua Angrist & Parag Pathak, 2014. "The Elite Illusion: Achievement Effects at Boston and New York Exam Schools," Econometrica, Econometric Society, vol. 82(1), pages 137-196, January.
    29. Caroline M. Hoxby, 2003. "The Economics of School Choice," NBER Books, National Bureau of Economic Research, Inc, number hox03-1.
    30. Raschke, Christian & Greene, William H., 2010. "Corrigendum to "Functional forms for the negative binomial model for count data" [Economics Letters 99 (2008) 585-590]," Economics Letters, Elsevier, vol. 107(2), pages 313-313, May.
    31. Joshua D. Angrist & Miikka Rokkanen, 2015. "Wanna Get Away? Regression Discontinuity Estimation of Exam School Effects Away From the Cutoff," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 110(512), pages 1331-1344, December.
    32. Atila Abdulkadiroğlu & Joshua D. Angrist & Susan M. Dynarski & Thomas J. Kane & Parag A. Pathak, 2011. "Accountability and Flexibility in Public Schools: Evidence from Boston's Charters And Pilots," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 126(2), pages 699-748.
    33. Mikael Lindahl & Alan B. Krueger, 2001. "Education for Growth: Why and for Whom?," Journal of Economic Literature, American Economic Association, vol. 39(4), pages 1101-1136, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Faia, Ester, 2020. "Educational Inequality, Assortative Mating and Women Empowerement," CEPR Discussion Papers 14547, Centre for Economic Policy Research.
    2. Rigissa Megalokonomou† Michael Vlassopoulos‡ Yves Zenou§, 2025. "Recognizing Talent: Evidence from Exposure to Math Award Winners∗," Monash Economics Working Papers 2026-10, Monash University, Department of Economics.
    3. Aparicio Fenoll, Ainoa & Zaccagni, Sarah, 2022. "Gender mix and team performance: Differences between exogenously and endogenously formed teams," Labour Economics, Elsevier, vol. 79(C).
    4. Rigissa Megalokonomou† Michael Vlassopoulos‡ Yves Zenou§, 2025. "Recognizing Talent: Evidence from Exposure to Math Award Winners∗," Monash Economics Working Papers 2026-20, Monash University, Department of Economics.
    5. Kiss David, 2017. "A Model about the Impact of Ability Grouping on Student Achievement," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 17(3), pages 1-10, July.
    6. Ruchir Agarwal & Patrick Gaule, 2020. "Invisible Geniuses: Could the Knowledge Frontier Advance Faster?," American Economic Review: Insights, American Economic Association, vol. 2(4), pages 409-424, December.
    7. Rigissa Megalokonomou† Michael Vlassopoulos‡ Yves Zenou§, 2025. "Recognizing Talent: Evidence from Exposure to Math Award Winners∗," Monash Economics Working Papers 2026-21, Monash University, Department of Economics.
    8. Paulo Bastos & Julian Cristia & Beomsoo Kim, 2016. "Good schools or good students? Evidence on school effects from universal random assignment of students to high schools," Discussion Paper Series 1607, Institute of Economic Research, Korea University.
    9. Vishaal Baulkaran & Pawan Jain, 2023. "Who uses robo‐advising and how?," The Financial Review, Eastern Finance Association, vol. 58(1), pages 65-89, February.
    10. Hemelt, Steven W. & Lenard, Matthew A., 2020. "Math acceleration in elementary school: Access and effects on student outcomes," Economics of Education Review, Elsevier, vol. 74(C).
    11. Fenoll, Ainoa Aparicio & Moscarola, Flavia Coda & Zaccagni, Sarah, 2021. "Mathematics camps: A gift for gifted students?," Journal of Economic Behavior & Organization, Elsevier, vol. 191(C), pages 738-751.
    12. Rigissa Megalokonomou† Michael Vlassopoulos‡ Yves Zenou§, 2025. "Recognizing Talent: Evidence from Exposure to Math Award Winners∗," Monash Economics Working Papers 2026-16, Monash University, Department of Economics.
    13. Rigissa Megalokonomou† Michael Vlassopoulos‡ Yves Zenou§, 2025. "Recognizing Talent: Evidence from Exposure to Math Award Winners∗," Monash Economics Working Papers 2026-10, Monash University, Department of Economics.
    14. Nagore Iriberri & Pedro Rey-Biel, 2019. "Competitive Pressure Widens the Gender Gap in Performance: Evidence from a Two-stage Competition in Mathematics," The Economic Journal, Royal Economic Society, vol. 129(620), pages 1863-1893.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Glenn Ellison & Ashley Swanson, 2012. "Heterogeneity in High Math Achievement Across Schools: Evidence from the American Mathematics Competition," CESifo Working Paper Series 3903, CESifo.
    2. Figlio, D. & Karbownik, K. & Salvanes, K.G., 2016. "Education Research and Administrative Data," Handbook of the Economics of Education,, Elsevier.
    3. W. Bentley MacLeod & Miguel Urquiola, 2018. "Is Education Consumption or Investment? Implications for the Effect of School Competition," NBER Working Papers 25117, National Bureau of Economic Research, Inc.
    4. Song, Yang, 2019. "Sorting, school performance and quality: Evidence from China," Journal of Comparative Economics, Elsevier, vol. 47(1), pages 238-261.
    5. Serena Canaan & Pierre Mouganie & Peng Zhang, 2025. "The long‐run educational benefits of high‐achieving classrooms," Journal of Policy Analysis and Management, John Wiley & Sons, Ltd., vol. 44(4), pages 1347-1373, September.
    6. Sorensen, Lucy C. & Holt, Stephen B., 2021. "Sorting it Out: The Effects of Charter Expansion on Teacher and Student Composition at Traditional Public Schools," Economics of Education Review, Elsevier, vol. 82(C).
    7. Gielen, Anne C. & Zwiers, Esmée, 2018. "Biology and the Gender Gap in Educational Performance: The Role of Prenatal Testosterone in Test Scores," IZA Discussion Papers 11936, IZA Network @ LISER.
    8. Masi, Barbara, 2018. "A ticket to ride: The unintended consequences of school transport subsidies," Economics of Education Review, Elsevier, vol. 63(C), pages 100-115.
    9. Peter Hull & Michal Kolesár & Christopher Walters, 2022. "Labor by design: contributions of David Card, Joshua Angrist, and Guido Imbens," Scandinavian Journal of Economics, Wiley Blackwell, vol. 124(3), pages 603-645, July.
    10. Lippmann, Quentin & Senik, Claudia, 2018. "Math, girls and socialism," Journal of Comparative Economics, Elsevier, vol. 46(3), pages 874-888.
    11. Dur, Umut & Hammond, Robert G. & Lenard, Matthew A. & Morrill, Melinda & Morrill, Thayer & Paeplow, Colleen, 2025. "The attraction of magnet schools: Evidence from embedded lotteries in school assignment," Economics of Education Review, Elsevier, vol. 107(C).
    12. Will Dobbie & Roland G. Fryer Jr., 2013. "Getting beneath the Veil of Effective Schools: Evidence from New York City," American Economic Journal: Applied Economics, American Economic Association, vol. 5(4), pages 28-60, October.
    13. Joshua D. Angrist, 2022. "Empirical Strategies in Economics: Illuminating the Path From Cause to Effect," Econometrica, Econometric Society, vol. 90(6), pages 2509-2539, November.
    14. Miguel Urquiola, 2015. "Progress and challenges in achieving an evidence-based education policy in Latin America and the Caribbean," Latin American Economic Review, Springer;Centro de Investigaciòn y Docencia Económica (CIDE), vol. 24(1), pages 1-30, December.
    15. Felipe Barrera-Osorio & Dario Maldonado & Catherine Rodríguez, 2012. "Calidad de la educación básica y media en Colombia: diagnóstico y propuestas," Documentos de Trabajo 10078, Universidad del Rosario.
    16. Chakrabarti, Rajashri, 2014. "Incentives and responses under No Child Left Behind: Credible threats and the role of competition," Journal of Public Economics, Elsevier, vol. 110(C), pages 124-146.
    17. Luc Behaghel & Clément de Chaisemartin & Marc Gurgand, 2017. "Ready for Boarding? The Effects of a Boarding School for Disadvantaged Students," American Economic Journal: Applied Economics, American Economic Association, vol. 9(1), pages 140-164, January.
    18. Joshua D. Angrist & Sarah R. Cohodes & Susan M. Dynarski & Parag A. Pathak & Christopher R. Walters, 2016. "Stand and Deliver: Effects of Boston's Charter High Schools on College Preparation, Entry, and Choice," Journal of Labor Economics, University of Chicago Press, vol. 34(2), pages 275-318.
    19. Marco Ovidi, 2021. "Parents know better: primary school choice and student achievement in London," Working Papers 919, Queen Mary University of London, School of Economics and Finance.
    20. Julie Berry Cullen & Steven D. Levitt & Erin Robertson & Sally Sadoff, 2013. "What Can Be Done to Improve Struggling High Schools?," Journal of Economic Perspectives, American Economic Association, vol. 27(2), pages 133-152, Spring.

    More about this item

    JEL classification:

    • H75 - Public Economics - - State and Local Government; Intergovernmental Relations - - - State and Local Government: Health, Education, and Welfare
    • I21 - Health, Education, and Welfare - - Education - - - Analysis of Education
    • I24 - Health, Education, and Welfare - - Education - - - Education and Inequality
    • I28 - Health, Education, and Welfare - - Education - - - Government Policy
    • R23 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Household Analysis - - - Regional Migration; Regional Labor Markets; Population

    Lists

    This item is featured on the following reading lists, Wikipedia, or ReplicationWiki pages:
    1. Do Schools Matter for High Math Achievement? Evidence from the American Mathematics Competitions (AER 2016) in ReplicationWiki

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:aea:aecrev:v:106:y:2016:i:6:p:1244-77. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Michael P. Albert (email available below). General contact details of provider: https://edirc.repec.org/data/aeaaaea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.