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Heterogeneous Effects of Early Algebra across California Middle Schools

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  • Andrew McEachin
  • Thurston Domina
  • Andrew Penner

Abstract

How should schools assign students to more rigorous math courses so as best to help their academic outcomes? We identify several hundred California middle schools that used 7th‐grade test scores to place students into 8th‐grade algebra courses and use a regression discontinuity design to estimate average impacts and heterogeneity across schools. Enrolling in 8th‐grade algebra boosts students’ enrollment in advanced math in ninth grade by 30 percentage points and eleventh grade by 16 percentage points. Math scores in tenth grade rise by 0.05 standard deviations. Women, students of color, and English‐language learners benefit disproportionately from placement into early algebra. Importantly, the benefits of 8th‐grade algebra are substantially larger in schools that set their eligibility threshold higher in the baseline achievement distribution. This suggests a potential tradeoff between increased access and rates of subsequent math success.

Suggested Citation

  • Andrew McEachin & Thurston Domina & Andrew Penner, 2020. "Heterogeneous Effects of Early Algebra across California Middle Schools," Journal of Policy Analysis and Management, John Wiley & Sons, Ltd., vol. 39(3), pages 772-800, June.
    • Handle: RePEc:wly:jpamgt:v:39:y:2020:i:3:p:772-800
    DOI: 10.1002/pam.22202
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    as
    1. Joshua D. Angrist & Parag A. Pathak & Christopher R. Walters, 2013. "Explaining Charter School Effectiveness," American Economic Journal: Applied Economics, American Economic Association, vol. 5(4), pages 1-27, October.
    2. Charles T. Clotfelter & Helen F. Ladd & Jacob L. Vigdor, 2015. "The Aftermath of Accelerating Algebra: Evidence from District Policy Initiatives," Journal of Human Resources, University of Wisconsin Press, vol. 50(1), pages 159-188.
    3. David S. Lee & Thomas Lemieux, 2010. "Regression Discontinuity Designs in Economics," Journal of Economic Literature, American Economic Association, vol. 48(2), pages 281-355, June.
    4. Kalena E. Cortes & Joshua S. Goodman & Takako Nomi, 2015. "Intensive Math Instruction and Educational Attainment: Long-Run Impacts of Double-Dose Algebra," Journal of Human Resources, University of Wisconsin Press, vol. 50(1), pages 108-158.
    5. Sebastian Calonico & Matias D. Cattaneo & Rocio Titiunik, 2014. "Robust Nonparametric Confidence Intervals for Regression‐Discontinuity Designs," Econometrica, Econometric Society, vol. 82, pages 2295-2326, November.
    6. Christina Clark Tuttle & Philip Gleason & Virginia Knechtel & Ira Nichols-Barrer & Kevin Booker & Gregory Chojnacki & Thomas Coen & Lisbeth Goble, "undated". "Understanding the Effect of KIPP as it Scales: Volume I, Impacts on Achievement and Other Outcomes," Mathematica Policy Research Reports 7d8e94c5e77a4a9c8bf09000d, Mathematica Policy Research.
    7. Joshua Goodman, 2019. "The Labor of Division: Returns to Compulsory High School Math Coursework," Journal of Labor Economics, University of Chicago Press, vol. 37(4), pages 1141-1182.
    8. David Card & Alexandre Mas & Jesse Rothstein, 2008. "Tipping and the Dynamics of Segregation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(1), pages 177-218.
    9. Kenneth Y. Chay & Patrick J. McEwan & Miguel Urquiola, 2005. "The Central Role of Noise in Evaluating Interventions That Use Test Scores to Rank Schools," American Economic Review, American Economic Association, vol. 95(4), pages 1237-1258, September.
    10. Matthew P. Steinberg, 2014. "Does Greater Autonomy Improve School Performance? Evidence from a Regression Discontinuity Analysis in Chicago," Education Finance and Policy, MIT Press, vol. 9(1), pages 1-35, January.
    11. Bruce E. Hansen, 2000. "Sample Splitting and Threshold Estimation," Econometrica, Econometric Society, vol. 68(3), pages 575-604, May.
    12. Howard S. Bloom & Carolyn J. Hill & James A. Riccio, 2003. "Linking program implementation and effectiveness: Lessons from a pooled sample of welfare-to-work experiments," Journal of Policy Analysis and Management, John Wiley & Sons, Ltd., vol. 22(4), pages 551-575.
    13. Bertrand, Marianne & Hanna, Rema & Mullainathan, Sendhil, 2010. "Affirmative action in education: Evidence from engineering college admissions in India," Journal of Public Economics, Elsevier, vol. 94(1-2), pages 16-29, February.
    14. Imbens, Guido W. & Lemieux, Thomas, 2008. "Regression discontinuity designs: A guide to practice," Journal of Econometrics, Elsevier, vol. 142(2), pages 615-635, February.
    15. Heather Rose & Julian R. Betts, 2004. "The Effect of High School Courses on Earnings," The Review of Economics and Statistics, MIT Press, vol. 86(2), pages 497-513, May.
    16. Andrew Gelman & Guido Imbens, 2019. "Why High-Order Polynomials Should Not Be Used in Regression Discontinuity Designs," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 37(3), pages 447-456, July.
    17. Virginia Knechtel & Mary Anne Anderson & Alyson Burnett & Thomas Coen & Margaret Sullivan & Christina Clark Tuttle & Philip Gleason, 2015. "Understanding the Effect of KIPP as it Scales: Volume II, Leadership Practices at KIPP," Mathematica Policy Research Reports f877f1b198ab4bf1b2849b09d, Mathematica Policy Research.
    18. Sebastian Calonico & Matias D. Cattaneo & Max H. Farrell & Roc ́ıo Titiunik, 2017. "rdrobust: Software for regression-discontinuity designs," Stata Journal, StataCorp LP, vol. 17(2), pages 372-404, June.
    19. McCrary, Justin, 2008. "Manipulation of the running variable in the regression discontinuity design: A density test," Journal of Econometrics, Elsevier, vol. 142(2), pages 698-714, February.
    20. Dougherty, Shaun M. & Goodman, Joshua S. & Hill, Darryl V. & Litke, Erica G. & Page, Lindsay C., 2017. "Objective course placement and college readiness: Evidence from targeted middle school math acceleration," Economics of Education Review, Elsevier, vol. 58(C), pages 141-161.
    21. Lee, David S. & Card, David, 2008. "Regression discontinuity inference with specification error," Journal of Econometrics, Elsevier, vol. 142(2), pages 655-674, February.
    22. Dougherty, Shaun & Joshua Goodman & Darryl Hill & Erica Litke & Lindsay Page, "undated". "Middle School Math Acceleration and Equitable Access to 8th Grade Algebra: Evidence from the Wake County Public School System," Working Paper 175236, Harvard University OpenScholar.
    23. Hahn, Jinyong & Todd, Petra & Van der Klaauw, Wilbert, 2001. "Identification and Estimation of Treatment Effects with a Regression-Discontinuity Design," Econometrica, Econometric Society, vol. 69(1), pages 201-209, January.
    24. Goodman, Joshua & Hurwitz, Michael & Smith, Jonathan, 2015. "College Access, Initial College Choice and Degree Completion," Working Paper Series rwp14-030, Harvard University, John F. Kennedy School of Government.
    25. Rodney J. Andrews & Scott A. Imberman & Michael F. Lovenheim, 2017. "Risky Business? The Effect of Majoring in Business on Earnings and Educational Attainment," NBER Working Papers 23575, National Bureau of Economic Research, Inc.
    26. Matias D. Cattaneo & Michael Jansson & Xinwei Ma, 2018. "Manipulation testing based on density discontinuity," Stata Journal, StataCorp LP, vol. 18(1), pages 234-261, March.
    27. Jessica Pan, 2015. "Gender Segregation in Occupations: The Role of Tipping and Social Interactions," Journal of Labor Economics, University of Chicago Press, vol. 33(2), pages 365-408.
    28. Christina Clark Tuttle & Philip Gleason & Virginia Knechtel & Ira Nichols-Barrer & Kevin Booker & Gregory Chojnacki & Thomas Coen & Lisbeth Goble, "undated". "Understanding the Effect of KIPP as it Scales: Volume I, Impacts on Achievement and Other Outcomes (Executive Summary)," Mathematica Policy Research Reports 29bd80d4c7bf491f84e9e7d37, Mathematica Policy Research.
    29. John P. Papay & Richard J. Murnane & John B. Willett, 2016. "The Impact of Test Score Labels on Human-Capital Investment Decisions," Journal of Human Resources, University of Wisconsin Press, vol. 51(2), pages 357-388.
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