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Technology’s Edge: The Educational Benefits of Computer-Aided Instruction Lisa Barrow Federal Reserve Bank of Chicago Lisa Markman Princeton University Cecilia Rouse Princeton University and NBER
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Student achievement is critical for individuals and society U.S. math skills have been increasing (NAEP), but proficiency levels remain low. Math skills may explain a large portion of wage inequality (Grogger, 1996; Murnane, Willet, & Levy, 1995)
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School districts are turning to advances in computers to… –Reduce administrative burden; –Compensate for poor teacher content knowledge (especially in districts that report difficulty recruiting and retaining teachers, particularly in math and science); –Allow more individualized student attention; students can progress at own pace.
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Evidence on effectiveness of CAI is surprisingly weak –Poorly defined computer use. –Little use of randomized controlled study design.
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In a 2001 review of the literature, Larry Cuban (2001, p. 179) concludes, “When it comes to higher teacher and student productivity and a transformation of teaching and learning … there is little ambiguity. Both must be tagged as failures. Computers have been oversold and underused, at least for now.”
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Computer-Aided Instruction (CAI) Treatment: Typically used in large urban districts; Software and hardware package designed to deliver one-on-one instruction; Software described as “meeting National Council of Teachers of Mathematics standards”; Software may be configured to state standards; Includes classroom management tools.
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The Program 5 components per lesson: –Pretest –Review –Lesson –Cumulative review –Comprehensive test Required to achieve certain degree of mastery before advancing; Teachers can monitor student progress.
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The design of this experiment… Randomly assign 8 th and 9 th grade classes in three large urban districts to be taught using computer-aided algebra and pre-algebra instruction. Assess the impact on statewide tests and tests designed to target algebra and pre-algebra skills. Note that the computer use was well- defined.
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Research Design: Within-school random assignment to CAI or traditional instruction at the classroom level in three districts Research design addresses two forms of selection bias: Non-random assignment of students to CAI; Non-random assignment of teachers to CAI.
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Table 1: Characteristics of the Districts in Our Study Top 100 Districts 3 Districts Combined District 1District 2District 3 # Students112,80762,507~68,000~22,000~97,000 % Female48.849.449.748.849.3 % Native American0.60.50.1 1.0 % Asian7.13.11.90.84.4 % African American28.169.593.640.359.4 % Hispanic34.116.21.154.318.0
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Implementation of Random Assignment Schools provided us with class schedules of pre-algebra and algebra classes; Given option of eliminating particular teachers or classes from the experiment; Randomization information provided to schools after students’ classes were scheduled.
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TeacherPeriod 1Period 2Period 3Period 4 AAlg 1Alg 1AAlg 1 B Alg 1A C Alg I D Alg 1Alg 1A Randomized Evaluation of a Computerized Math Curriculum Current School Schedule
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TeacherPeriod 1Period 2Period 3Period 4 AAlg 1Alg 1AAlg 1 B Alg 1A C Alg I D Alg 1Alg 1A TeacherPeriod 1Period 2Period 3Period 4 ARegular LAB B Regular C D LAB Randomized Evaluation of a Computerized Math Curriculum Current School Schedule Below is a sample schedule that would be returned to each school after random assignment
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Table 2a: Schools and Students in Study – District 1 Relevant Schools Schools in Study Students in Study Number of Students29,6038,148973 % Grade 819.316.840.4 % Grade 918.018.347.2 % Grade 1015.117.84.4 % Female50.549.052.0 % African American94.297.287.8 % Hispanic1.00.8 % White2.60.40.1 % Native American<0.1 0.0 % Asian2.21.61.8 % Missing demographic data 9.6
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Table 2b: Schools and Students in Study – District 2 Relevant Schools Schools in Study Students in Study Number of Students5,2704,476412 % Grade 82.30.0 % Grade 938.040.052.7 % Grade 1022.023.231.8 % Female48.448.246.7 % African American43.642.047.1 % Hispanic50.151.244.7 % White5.55.96.6 % Native American0.20.10.2 % Asian0.70.80.5 % Missing demographic data 0.2
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Table 2c: Schools and Students in Study – District 3 Relevant Schools Schools in Study Students in Study Number of Students27,5723,540200 % Grade 81.40.03.5 % Grade 935.640.091.5 % Grade 1023.325.13.0 % Female49.947.647.7 % African American61.192.594.5 % Hispanic15.21.20.5 % White18.34.01.5 % Native American1.10.40.0 % Asian4.51.93.0 % Missing demographic data 0.5
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Numbers of Schools Classes, Teachers, and Randomization Pools Analysis Sample CombinedDistrict 1District 2District 3 Number of schools171043 Number of randomization pools 60311910 Number of classes141744423 Number of teachers5736147 Number of students1,585973412200
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Outcomes Algebra and pre-algebra tests by Northwest Evaluation Association (NWEA) to be consistent with state and district standards; State-wide administered math tests; District benchmark tests in pre- algebra.
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Table 3: Randomization of Treatment and Control Using Full Sample Random Assignment Traditional Instruction CAI p-value of diff. Full Sample Baseline algebra test score 24.7 0.494 Female47.247.10.637 African American80.083.20.561 Hispanic15.913.50.195 Class Size25.825.70.860 # of Observations1,1331,145
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Table 3 (cont.): Randomization of Treatment and Control Using Analysis Sample Random Assignment Traditional Instruction CAI p-value of diff. Analysis Sample Baseline algebra test score 24.724.80.304 Female51.148.90.148 African American81.984.00.060 Hispanic13.812.10.061 Class Size25.826.20.549 # of Observations785800
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Intent-to-Treat Estimates of the Effect of CAI on Algebra Achievement (with and without Teacher Fixed Effects)
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Advantages/Disadvantages of the Intent-to-Treat Effect Represents the gains a policy maker might reasonably expect to observe. Does not necessarily represent the effectiveness of the program.
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Amount of Time in the Computer Lab by the Random Assignment of the Student’s Class
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Intent-to-Treat and Treatment on the Treated Estimates of the Effect of CAI (with and without teacher fixed effects)
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Intent-to-Treat Estimates in District 1 Using Different Tests
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Intent-to-Treat Estimates in Districts 2 and 3 Using Different Tests
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We might expect to see an advantage of CAI in… Classes where curriculum best suited to students; Larger classes; Classes with more disruptive students; Classes with heterogeneous students.
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Differential Intent to Treat Effects of the Computerized Instruction on Pre-Algebra and Algebra Achievement by Class Type
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Differential Intent to Treat Effects of CAI on Pre-Algebra and Algebra Achievement by Baseline Test Score Quartile
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Differential Intent to Treat Effects of CAI on Pre-Algebra and Algebra Achievement by Individual Attendance Rates
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Differential Intent-to-Treat Effects by Class Characteristic: Attendance, Class Size, and Class Baseline Test Score S.D.
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Overall we find: On average, students in classes taught using CAI scored higher on algebra tests than students in traditionally-taught classes. The effects appear larger for students in larger classes (especially large, heterogenous classes), those with worse attendance rates, and those in classes with lower average attendance rates.
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Cost-Benefit Analysis Cost of CAI # Classes Total students Class size # periods CAI labs needed Cost/ student School A2273033.283.0$218 School B1232126.881.5$245 District 174173623.589.3$279 Cost of reducing class size to 13 # Classes Total students Class size # periods # new teachers Cost/ student School A2273033.265.7$329 School B1232126.862.1$278 District 174173623.569.9$241
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