The DOI matches its Crossref record; 25 of the 25 references it cites were found in a registry or an index.
The 2 Sigma Problem: The Search for Methods of Group Instruction as Effective as One-to-One Tutoring
Abstract
T w o University of Chicago doctoral students in education, Anania (1982, 1983) and Burke (1984), completed dissertations in which they compared student learning under the following three conditions of instruction: 1. Conventional. Students learn the subject matter in a class with about 30 students per teacher. Tests are given periodically for marking the students. 2. Mastery Learning. Students learn the subject matter in a class with about 30 students per teacher. The instruction is the same as in the conventional class (usually with the same teacher). Formative tests (the same tests used with the conventional group) are given for feedback followed by corrective procedures and parallel formative tests to determine the extent to which the students have mastered the subject matter. 3. Tutoring. Students learn the subject matter with a good tutor for each student (or for two or three students simultaneously). This tutoring instruction is followed periodically by formative tests, feedback-corrective procedures, and parallel formative tests as in the mastery learning classes. It should be pointed out that the need for corrective work under tutoring is very small.
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In the citing paper
“skills vary within individuals based on goals, emotional states, and contextual supportsproducing a child's developmental range”
From Malleability, plasticity, and individuality: How children learn and develop in context1 (2019) · cites this paper as Bloom, 1984
In the citing paper
“a child's performance within that range can be optimized under conditions of high, personalized support”
From Malleability, plasticity, and individuality: How children learn and develop in context1 (2019) · cites this paper as Bloom, 1984
In the citing paper
“Bloom found that students who received effective one-on-one tutoring through a mastery learning framework performed two standard deviations better than students who did not.”
From Malleability, plasticity, and individuality: How children learn and develop in context1 (2019) · cites this paper as Bloom, 1984
In the citing paper
“One-to-one tutoring is an effective teaching method (Bloom, 1984).”
From Towards the Pedagogical Steering of Large Language Models for Tutoring: A Case Study with Modeling Productive Failure (2025) · cites this paper as Bloom, 1984
In the citing paper
“We believe that the increased learning from structured AI tutoring is largely due to its ability to offer personalized feedback on demand—just as one-on-one tutoring from a (human) expert is superior to classroom instruction15.”
From AI tutoring outperforms in-class active learning: an RCT introducing a novel research-based design in an authentic educational setting (2025) · cites this paper as [15]
In the citing paper
“While the advantages of personalized instruction are clear, this model of education cannot scale to meet the needs of a large number of students15.”
From AI tutoring outperforms in-class active learning: an RCT introducing a novel research-based design in an authentic educational setting (2025) · cites this paper as [15]
In the citing paper
“Working with an expert personal tutor is generally regarded as the most efficient form of education15.”
From AI tutoring outperforms in-class active learning: an RCT introducing a novel research-based design in an authentic educational setting (2025) · cites this paper as [15]
In the citing paper
“More focused effort on developing computer-based tutoring systems in particular started following the findings of Bloom (Bloom, 1984)—students who received tutoring in addition to group classes fared two standard deviations better than those who only participated in group classes.”
From Proactive and reactive engagement of artificial intelligence methods for education: a review (2023) · cites this paper as Bloom, 1984
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“5 “the best learning conditions we can devise” (Bloom, 1984, p. 4).”
InfluentialReinventing Systems for Equity
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“Bloom (1984) found that traditional teaching focused on getting through the book — that is, “ teach, test, grade ”— produces outcomes that mimic a normal curve of student performance with wide differentials among students.”
BackgroundOntology based approach to Bayesian student model design
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Ros, M. Z. (2018) · Revista de Educación a Distancia (RED) · doi:10.6018/red/57/10 · Cited by 47
Lane, H. C., & Schroeder, N. L. (2022) · ACM eBooks · doi:10.1145/3563659.3563669 · Cited by 34
“For example, one of the best forms of education known to humankind is to learn from an expert human tutor in a 1-1, face-to-face interaction [Bloom, 1984].”
Individual differences in gameplay and learning
Rowe, J., Shores, L. R., Mott, B., & Lester, J. C. (2010) · International Conference on the Foundations of Digital Games (FDG) · doi:10.1145/1822348.1822371 · Cited by 30
Learning to Assess Low-level Conceptual Understanding
Nielsen, R. D., Ward, W., & Martin, J. (2008) · The Florida AI Research Society · Cited by 29
A knowledge-tracing model of learning from a social tagging system
Pirolli, P. L. T., & Kairam, S. (2012) · User Modeling and User-Adapted Interaction · doi:10.1007/s11257-012-9132-1 · Cited by 28
“This extreme form of personalized learning can yield up to two standard deviations of improvement relative to less-personalized classroom instruction (Bloom 1984).”
BackgroundShenderovich, Y., Thurston, A., & Miller, S. J. (2015) · International Journal of Educational Research · doi:10.1016/j.ijer.2015.03.007 · Cited by 36
“…learning Cross-Age Tutoring: A Systematic Review and Meta-Analysis of Cross-Age Tutoring in Kindergarten and Elementary School Settings Individualized tutoring is considered to be one of the most effective ways to promote improved educational outcomes (Bloom, 1984; Elbaum, 2000; Ireson, 2006).”
BackgroundA System of Equity Indicators for Educational Systems
Meuret, D. (2002) · Springer eBooks · doi:10.1007/0-306-47579-0_6 · Cited by 29
Learners' questions and comprehension in a tutoring setting.
Fishbein, H. D., Eckart, T., Lauver, E., Leeuwen, R. V., & Langmeyer, D. (1990) · Journal of Educational Psychology · doi:10.1037/0022-0663.82.1.163 · Cited by 29
Does Categorical Teacher Certification Benefit the Mildly Handicapped Child?
Marston, D. (1987) · Exceptional Children · doi:10.1177/001440298705300504 · Cited by 29
“Bloom's (1984) research indicates the most powerful variable is one-to-one tutoring.”
BackgroundLearning domain knowledge for teaching procedural skills
Angros, R., Johnson, W. L., Rickel, J. W., & Scholer, A. (2002) · Adaptive Agents and Multi-Agents Systems · doi:10.1145/545056.545134 · Cited by 29
Teaching basic experimental design with an intelligent tutor
Kuhl, P. K., Lim, S., Guerriero, S., & Damme, D. V. (2019) · Educational research and innovation · doi:10.1787/b91eb585-en · Cited by 28
“That is, they don’t include scaffolding for students as they set up their own experiments or provide feedback, even though such instructional actions have been shown to promote student learning [23 - 25]).”
Flip or Flop: Are Math Teachers Using Khan Academy as Envisionedby Sal Khan?
Cargile, L. A., & Harkness, S. S. (2015) · TechTrends · doi:10.1007/s11528-015-0900-8 · Cited by 28
Hrastinski, S., Stenbom, S., Benjaminsson, S., & Jansson, M. (2019) · Interactive Learning Environments · doi:10.1080/10494820.2019.1583674 · Cited by 29
“Individual tutoring and its effect was studied by Bloom (1984) and his PhD students (Anania, 1983; Burke, 1983).”
BackgroundInfluentialReading Fluency in Young Elementary School Age Deaf and Hard-of-Hearing Children
Easterbrooks, S. R., & Lederberg, A. R. (2020) · The Journal of Deaf Studies and Deaf Education · doi:10.1093/deafed/enaa024 · Cited by 32
How Personality Matters for Education Research
Jach, H. K., Bardach, L., & Murayama, K. (2023) · Educational Psychology Review · doi:10.1007/s10648-023-09807-4 · Cited by 47
“How to best personalise learning has long been a solid (and still unsolved) question in education practice and research (Bloom, 1984; Dockterman, 2018).”
BackgroundVisual modality research in virtual and mixed reality simulation
Stevens, J. A., Kincaid, P., & Sottilare, R. A. (2015) · The Journal of Defense Modeling and Simulation Applications Methodology Technology · doi:10.1177/1548512915569742 · Cited by 28
Pol, H. J., Harskamp, E. G., & Suhre, C. J. M. (2007) · Computers in Human Behavior · doi:10.1016/j.chb.2007.04.002 · Cited by 29
Learning from a Computer Tutor with Natural Language Capabilities
MICHAEL, J. A., Rovick, A. A., Glass, M., Zhou, Y., & Evens, M. W. (2003) · Interactive Learning Environments · doi:10.1076/ilee.11.3.233.16543 · Cited by 28
“One-on-one tutoring is known to result in learning outcomes that are significantly greater than those produced by usual classroom activities (Bloom, 1984; Cohen, Kulik, & Kulik, 1982; Graesser, Person, & Magliano, 1995).”
BackgroundAtelier: Repurposing Expert Crowdsourcing Tasks as Micro-internshipsPreprint
Suzuki, R., Salehi, N., Lam, M. S., Marroquin, J. C., & Bernstein, M. S. (2016) · arXiv (Cornell University) · doi:10.48550/arxiv.1602.06634 · Cited by 28
The development and analysis of tutorial dialogues in AutoTutor Lite
Wolfe, C. R., Widmer, C. L., Reyna, V. F., Hu, X., Cedillos, E. M., Fisher, C. R., Brust-Renck, P. G., Williams, T. C., Vannucchi, I. D., & Weil, A. M. (2013) · Behavior Research Methods · doi:10.3758/s13428-013-0352-z · Cited by 27
“Human one-on-one tutoring is arguably the “gold standard” for teaching complex conceptual material, with trained human tutors reportedly producing gains as high as two standard deviations over standard classroom practice, sometimes labeled the “2 sigma effect” (Bloom, 1984; Chi, Siler, Jeong, Yamauchi, & Hausmann, 200…”
BackgroundFactors Influencing Self‐Efficacy Judgments of University Students in Foreign Language Tutoring
MATTHEWS, P. H. (2010) · Modern Language Journal · doi:10.1111/j.1540-4781.2010.01057.x · Cited by 27
Metadata
- Authors
- BLOOM, B. S.
- Affiliations
- Northwestern University (US)
- Corresponding author
- BLOOM, BENJAMIN S.
- Venue
- Educational Researcher
- Published
- 1984-06
- Volume
- 13
- Issue
- 6
- Pages
- 4-16
- ISSN
- 0013-189X (ISSN-L)
- 1935-102X
- OpenAlex
- W2172010324
- Cited by
- 2,734
- References
- 25
- Citations by year
- 2026: 195 · 2025: 144 · 2024: 131 · 2023: 99 · 2022: 103 · 2021: 84 · 2020: 129 · 2019: 88 · 2018: 122 · 2017: 79 · 2016: 97 · 2015: 119 · 2014: 112 · 2013: 107 · 2012: 103
- FWCI
- 39.22
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Educational Researcher (publishedVersion)
- Topics
- Social Sciences › Psychology › Developmental and Educational Psychology › Innovative Teaching and Learning Methods
- Physical Sciences › Computer Science › Artificial Intelligence › Intelligent Tutoring Systems and Adaptive Learning
- Social Sciences › Psychology › Developmental and Educational Psychology › Learning Styles and Cognitive Differences
- Keywords
- group instruction, one-on-one tutoring, learning mastery, conventional instruction, corrective procedures, academic performance, tutoring effectiveness
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