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Tutoring: Supplemental computer-assisted instruction for students struggling in math

Pre-K to 12 Education
Benefit-cost methods last updated December 2023.  Literature review updated March 2020.
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Studies in the analysis compare students receiving math CAI to students who receive either other forms of CAI in subjects other than math (i.e., reading) or another type of supplemental tutoring to improve math ability.

Supplemental CAI is provided after school to bring below-grade level performers up to grade-level in math. Students participate in CAI weekly, 20-60 minute lessons for four to six months. In the included studies, CAI was provided to 5th- and 6th-grade students using several programs, including FLASH and the Assessment and LEarning in Knowledge Spaces (ALEKS). The analysis excludes studies that focus exclusively on special education populations. Studies in the analysis compare students receiving math CAI to students who receive either other forms of CAI in non-reading subjects (i.e., reading) or another type of supplemental tutoring to improve math ability.
 
ALL
BENEFIT-COST
META-ANALYSIS
CITATIONS
For an overview of WSIPP's Benefit-Cost Model, please see this guide. The estimates shown are present value, life cycle benefits and costs. All dollars are expressed in the base year chosen for this analysis (2022). The chance the benefits exceed the costs are derived from a Monte Carlo risk analysis. The details on this, as well as the economic discount rates and other relevant parameters are described in our Technical Documentation.
Benefit-Cost Summary Statistics Per Participant
Benefits to:
Taxpayers $4,246 Benefits minus costs $19,298
Participants $10,002 Benefit to cost ratio $131.87
Others $5,272 Chance the program will produce
Indirect ($74) benefits greater than the costs 64%
Total benefits $19,445
Net program cost ($147)
Benefits minus cost $19,298

Meta-analysis is a statistical method to combine the results from separate studies on a program, policy, or topic in order to estimate its effect on an outcome. WSIPP systematically evaluates all credible evaluations we can locate on each topic. The outcomes measured are the types of program impacts that were measured in the research literature (for example, crime or educational attainment). Treatment N represents the total number of individuals or units in the treatment group across the included studies.

An effect size (ES) is a standard metric that summarizes the degree to which a program or policy affects a measured outcome. If the effect size is positive, the outcome increases. If the effect size is negative, the outcome decreases. See Estimating Program Effects Using Effect Sizes for additional information.

Adjusted effect sizes are used to calculate the benefits from our benefit cost model. WSIPP may adjust effect sizes based on methodological characteristics of the study. For example, we may adjust effect sizes when a study has a weak research design or when the program developer is involved in the research. The magnitude of these adjustments varies depending on the topic area.

WSIPP may also adjust the second ES measurement. Research shows the magnitude of some effect sizes decrease over time. For those effect sizes, we estimate outcome-based adjustments which we apply between the first time ES is estimated and the second time ES is estimated. We also report the unadjusted effect size to show the effect sizes before any adjustments have been made. More details about these adjustments can be found in our Technical Documentation.

Meta-Analysis of Program Effects
Outcomes measured Treatment age No. of effect sizes Treatment N Adjusted effect sizes(ES) and standard errors(SE) used in the benefit - cost analysis Unadjusted effect size (random effects model)
First time ES is estimated Second time ES is estimated
ES SE Age ES SE Age ES p-value
Test scores
Standardized, validated tests of academic achievement.
10 2 142 0.130 0.209 10 0.086 0.230 17 0.157 0.453
1In addition to the outcomes measured in the meta-analysis table, WSIPP measures benefits and costs estimated from other outcomes associated with those reported in the evaluation literature. For example, empirical research demonstrates that high school graduation leads to reduced crime. These associated measures provide a more complete picture of the detailed costs and benefits of the program.

2“Others” includes benefits to people other than taxpayers and participants. Depending on the program, it could include reductions in crime victimization, the economic benefits from a more educated workforce, and the benefits from employer-paid health insurance.

3“Indirect benefits” includes estimates of the net changes in the value of a statistical life and net changes in the deadweight costs of taxation.
Detailed Monetary Benefit Estimates Per Participant
Affected outcome: Resulting benefits:1 Benefits accrue to:
Taxpayers Participants Others2 Indirect3 Total
Test scores Labor market earnings associated with test scores $4,246 $10,002 $5,272 $0 $19,519
Program cost Adjustment for deadweight cost of program $0 $0 $0 ($74) ($74)
Totals $4,246 $10,002 $5,272 ($74) $19,445
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Detailed Annual Cost Estimates Per Participant
Annual cost Year dollars Summary
Program costs $480 2018 Present value of net program costs (in 2022 dollars) ($147)
Comparison costs $350 2018 Cost range (+ or -) 40%
The cost of the supplemental computer-assisted instruction (CAI) can vary widely based on the number of students in each school using the program and the number of students using the program at one time. The interventions included in this review required an average of 3.2 hours of teacher time per student over a school year. The comparison students also use teacher time because they participated in other supplemental tutoring. We estimate the cost of supplemental CAI by calculating the difference in teacher-time across the groups and adding the per-participant cost of the program used in the interventions included in the analysis. We estimate that the per-participant cost is $130 for a program like Assessment and LEarning in Knowledge Spaces (ALEKS), the program most used in the analysis for 25 weeks, in 2019 dollars (retrieved from https://www.aleks.com/buy_aleks_now#:~:text=Purchase%20ALEKS%20for%20yourself%2C%20or,only%20%2449.95%20for%203%20months!)
The figures shown are estimates of the costs to implement programs in Washington. The comparison group costs reflect either no treatment or treatment as usual, depending on how effect sizes were calculated in the meta-analysis. The cost range reported above reflects potential variation or uncertainty in the cost estimate; more detail can be found in our Technical Documentation.
Benefits Minus Costs
Benefits by Perspective
Taxpayer Benefits by Source of Value
Benefits Minus Costs Over Time (Cumulative Discounted Dollars)
The graph above illustrates the estimated cumulative net benefits per-participant for the first fifty years beyond the initial investment in the program. We present these cash flows in discounted dollars. If the dollars are negative (bars below $0 line), the cumulative benefits do not outweigh the cost of the program up to that point in time. The program breaks even when the dollars reach $0. At this point, the total benefits to participants, taxpayers, and others, are equal to the cost of the program. If the dollars are above $0, the benefits of the program exceed the initial investment.

Citations Used in the Meta-Analysis

Craig, S.D., Hu, X., Graesser, A.C., Bargagliotti, A.E., Sterbinsky, A., Cheney, K.R., & Okwumabua, T. (2013). The impact of a technology-based mathematics after-school program using ALEKS on student's knowledge and behaviors. Computers & Education, 68, 495-504.

Fuchs, L.S., Fuchs, D., Hamlet, C.L., Powell, S.R., Capizzi, A.M., & Seethaler, P.M. (2006). The effects of computer-assisted instruction on number combination skill in at-risk first graders. Journal of Learning Disabilities, 39(5), 467-475.