What Works in Elementary Math?

Euclid, the ancient Greek mathematician, is considered the inventor of geometry. His king heard about it, and wanted to learn geometry, but being a king, he was kind of busy. He called in Euclid, and asked him if there was a faster way. “I’m sorry sire,” said Euclid, “but there is no royal road to geometry.”

Skipping forward a couple thousand years, Marta Pellegrini, of the University of Florence in Italy, spent nine months with our group at Johns Hopkins University and led a review of research on effective programs for elementary mathematics  (Pellegrini, Lake, Inns & Slavin, 2018), which was recently released on our Best Evidence Encyclopedia (BEE). What we found was not so different from Euclid’s conclusion, but broader: There’s no royal road to anything in mathematics. Improving mathematics achievement isn’t easy. But it is not impossible.

Our review focused on 78 very high-quality studies (65 used random assignment). 61 programs were divided into eight categories: tutoring, technology, professional development for math content and pedagogy, instructional process programs, whole-school reform, social-emotional approaches, textbooks, and benchmark assessments.

Tutoring had the largest and most reliably positive impacts on math learning. Tutoring included one-to-one and one-to-small group services, and some tutors were certified teachers and some were paraprofessionals (teacher assistants). The successful tutoring models were all well-structured, and tutors received high-quality materials and professional development. Across 13 studies involving face-to-face tutoring, average outcomes were very positive. Surprisingly, tutors who were certified teachers (ES=+0.34) and paraprofessionals (ES=+0.32) obtained very similar student outcomes. Even more surprising, one-to-small group tutoring (ES=+0.32) was as effective as one-to-one (ES=+0.26).

Beyond tutoring, the category with the largest average impacts was instructional programs, classroom organization and management approaches, such as cooperative learning and the Good Behavior Game. The mean effect size was +0.25.

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After these two categories, there were only isolated studies with positive outcomes. 14 studies of technology approaches had an average effect size of only +0.07. 12 studies of professional development to improve teachers’ knowledge of math content and pedagogy found an average of only +0.04. One study of a social-emotional program called Positive Action found positive effects but seven other SEL studies did not, and the mean for this category was +0.03. One study of a whole-school reform model called the Center for Data-Driven Reform in Education (CDDRE), which helps schools do needs assessments, and then find, select, and implement proven programs, showed positive outcomes (ES=+0.24), but three other whole-school models found no positive effects. Among 16 studies of math curricula and software, only two, Math in Focus (ES=+0.25) and Math Expressions (ES=+0.11), found significant positive outcomes. On average, benchmark assessment approaches made no difference (ES=0.00).

Taken together, the findings of the 78 studies support a surprising conclusion. Few of the successful approaches had much to do with improving math pedagogy. Most were one-to-one or one-to-small group tutoring approaches that closely resemble tutoring models long used with great success in reading. A classroom management approach, PAX Good Behavior Game, and a social-emotional model, Positive Action, had no particular focus on math, yet both had positive effects on math (and reading). A whole-school reform approach, the Center for Data-Driven Reform in Education (CDDRE), helped schools do needs assessments and select proven programs appropriate to their needs, but CDDRE focused equally on reading and math, and had significantly positive outcomes in both subjects. In contrast, math curricula and professional development specifically designed for mathematics had only two positive examples among 28 programs.

The substantial difference in outcomes of tutoring and outcomes of technology applications is also interesting. The well-established positive impacts of one-to-one and one-to-small group tutoring, in reading as well as math, are often ascribed to the tutor’s ability to personalize instruction for each student. Computer-assisted instruction is also personalized, and has been expected, largely on this basis, to improve student achievement, especially in math (see Cheung & Slavin, 2013). Yet in math, and also reading, one-to-one and one-to-small group tutoring, by certified teachers and paraprofessionals, is far more effective than the average for technology approaches. The comparison of outcomes of personalized CAI and (personalized) tutoring make it unlikely that personalization is a key explanation for the effectiveness of tutoring. Tutors must contribute something powerful beyond personalization.

I have argued previously that what tutors contribute, in addition to personalization, is a human connection, encouragement, and praise. A tutored child wants to please his or her tutor, not by completing a set of computerized exercises, but by seeing a tutor’s eyes light up and voice respond when the tutee makes progress.

If this is the secret of the effect of tutoring (beyond personalization), perhaps a similar explanation extends to other approaches that happen to improve mathematics performance without using especially innovative approaches to mathematics content or pedagogy. Approaches such as PAX Good Behavior Game and Positive Action, targeted on behavior and social-emotional skills, respectively, focus on children’s motivations, emotions, and behaviors. In the secondary grades, a program called Building Assets, Reducing Risk (BARR) (Corsello & Sharma, 2015) has an equal focus on social-emotional development, not math, but it also has significant positive effects on math (as well as reading). A study in Chile of a program called Conecta Ideas found substantial positive effects in fourth grade math by having students practice together in preparation for bimonthly math “tournaments” in competition with other schools. Both content and pedagogy were the same in experimental and control classes, but the excitement engendered by the tournaments led to substantial impacts (ES=+0.30 on national tests).

We need breakthroughs in mathematics teaching. Perhaps we have been looking in the wrong places, expecting that improved content and pedagogy will be the key to better learning. They will surely be involved, but perhaps it will turn out that math does not live only in students’ heads, but must also live in their hearts.

There may be no royal road to mathematics, but perhaps there is an emotional road. Wouldn’t it be astonishing if math, the most cerebral of subjects, turns out more than anything else to depend as much on heart as brain?

References

Cheung, A., & Slavin, R. E. (2013). The effectiveness of educational technology applications for enhancing mathematics achievement in K-12 classrooms: A meta-analysis. Educational Research Review, 9, 88-113.

Corsello, M., & Sharma, A. (2015). The Building Assets-Reducing Risks Program: Replication and expansion of an effective strategy to turn around low-achieving schools: i3 development grant final report. Biddeford, ME, Consello Consulting.

Inns, A., Lake, C., Pellegrini, M., & Slavin, R. (2018, March 3). Effective programs for struggling readers: A best-evidence synthesis. Paper presented at the annual meeting of the Society for Research on Educational Effectiveness, Washington, DC.

Pellegrini, M., Inns, A., & Slavin, R. (2018, March 3). Effective programs in elementary mathematics: A best-evidence synthesis. Paper presented at the annual meeting of the Society for Research on Educational Effectiveness, Washington, DC.

Photo credit: By Los Angeles Times Photographic Archive, no photographer stated. [CC BY 4.0  (https://creativecommons.org/licenses/by/4.0)], via Wikimedia Commons

This blog was developed with support from the Laura and John Arnold Foundation. The views expressed here do not necessarily reflect those of the Foundation.

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Succeeding Faster in Education

“If you want to increase your success rate, double your failure rate.” So said Thomas Watson, the founder of IBM. What he meant, of course, is that people and organizations thrive when they try many experiments, even though most experiments fail. Failing twice as often means trying twice as many experiments, leading to twice as many failures—but also, he was saying, many more successes.

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Thomas Watson

In education research and innovation circles, many people know this quote, and use it to console colleagues who have done an experiment that did not produce significant positive outcomes. A lot of consolation is necessary, because most high-quality experiments in education do not produce significant positive outcomes. In studies funded by the Institute for Education Sciences (IES), Investing in Innovation (i3), and England’s Education Endowment Foundation (EEF), all of which require very high standards of evidence, fewer than 20% of experiments show significant positive outcomes.

The high rate of failure in educational experiments is often shocking to non-researchers, especially the government agencies, foundations, publishers, and software developers who commission the studies. I was at a conference recently in which a Peruvian researcher presented the devastating results of an experiment in which high-poverty, mostly rural schools in Peru were randomly assigned to receive computers for all of their students, or to continue with usual instruction. The Peruvian Ministry of Education was so confident that the computers would be effective that they had built a huge model of the specific computers used in the experiment and attached it to the Ministry headquarters. When the results showed no positive outcomes (except for the ability to operate computers), the Ministry quietly removed the computer statue from the top of their building.

Improving Success Rates

Much as I believe Watson’s admonition (“fail more”), there is another principle that he was implying, or so I expect: We have to learn from failure, so we can increase the rate of success. It is not realistic to expect government to continue to invest substantial funding in high-quality educational experiments if the success rate remains below 20%. We have to get smarter, so we can succeed more often. Fortunately, qualitative measures, such as observations, interviews, and questionnaires, are becoming required elements of funded research, facilitating finding out what happened so that researchers can find out what went wrong. Was the experimental program faithfully implemented? Were there unexpected responses toward the program by teachers or students?

In the course of my work reviewing positive and disappointing outcomes of educational innovations, I’ve noticed some patterns that often predict that a given program is likely or unlikely to be effective in a well-designed evaluation. Some of these are as follows.

  1. Small changes lead to small (or zero) impacts. In every subject and grade level, researchers have evaluated new textbooks, in comparison to existing texts. These almost never show positive effects. The reason is that textbooks are just not that different from each other. Approaches that do show positive effects are usually markedly different from ordinary practices or texts.
  2. Successful programs almost always provide a lot of professional development. The programs that have significant positive effects on learning are ones that markedly improve pedagogy. Changing teachers’ daily instructional practices usually requires initial training followed by on-site coaching by well-trained and capable coaches. Lots of PD does not guarantee success, but minimal PD virtually guarantees failure. Sufficient professional development can be expensive, but education itself is expensive, and adding a modest amount to per-pupil cost for professional development and other requirements of effective implementation is often the best way to substantially enhance outcomes.
  3. Effective programs are usually well-specified, with clear procedures and materials. Rarely do programs work if they are unclear about what teachers are expected to do, and helped to do it. In the Peruvian study of one-to-one computers, for example, students were given tablet computers at a per-pupil cost of $438. Teachers were expected to figure out how best to use them. In fact, a qualitative study found that the computers were considered so valuable that many teachers locked them up except for specific times when they were to be used. They lacked specific instructional software or professional development to create the needed software. No wonder “it” didn’t work. Other than the physical computers, there was no “it.”
  4. Technology is not magic. Technology can create opportunities for improvement, but there is little understanding of how to use technology to greatest effect. My colleagues and I have done reviews of research on effects of modern technology on learning. We found near-zero effects of a variety of elementary and secondary reading software (Inns et al., 2018; Baye et al., in press), with a mean effect size of +0.05 in elementary reading and +0.00 in secondary. In math, effects were slightly more positive (ES=+0.09), but still quite small, on average (Pellegrini et al., 2018). Some technology approaches had more promise than others, but it is time that we learned from disappointing as well as promising applications. The widespread belief that technology is the future must eventually be right, but at present we have little reason to believe that technology is transformative, and we don’t know which form of technology is most likely to be transformative.
  5. Tutoring is the most solid approach we have. Reviews of elementary reading for struggling readers (Inns et al., 2018) and secondary struggling readers (Baye et al., in press), as well as elementary math (Pellegrini et al., 2018), find outcomes for various forms of tutoring that are far beyond effects seen for any other type of treatment. Everyone knows this, but thinking about tutoring falls into two camps. One, typified by advocates of Reading Recovery, takes the view that tutoring is so effective for struggling first graders that it should be used no matter what the cost. The other, also perhaps thinking about Reading Recovery, rejects this approach because of its cost. Yet recent research on tutoring methods is finding strategies that are cost-effective and feasible. First, studies in both reading (Inns et al., 2018) and math (Pellegrini et al., 2018) find no difference in outcomes between certified teachers and paraprofessionals using structured one-to-one or one-to-small group tutoring models. Second, although one-to-one tutoring is more effective than one-to-small group, one-to-small group is far more cost-effective, as one trained tutor can work with 4 to 6 students at a time. Also, recent studies have found that tutoring can be just as effective in the upper elementary and middle grades as in first grade, so this strategy may have broader applicability than it has in the past. The real challenge for research on tutoring is to develop and evaluate models that increase cost-effectiveness of this clearly effective family of approaches.

The extraordinary advances in the quality and quantity of research in education, led by investments from IES, i3, and the EEF, have raised expectations for research-based reform. However, the modest percentage of recent studies meeting current rigorous standards of evidence has caused disappointment in some quarters. Instead, all findings, whether immediately successful or not, should be seen as crucial information. Some studies identify programs ready for prime time right now, but the whole body of work can and must inform us about areas worthy of expanded investment, as well as areas in need of serious rethinking and redevelopment. The evidence movement, in the form it exists today, is completing its first decade. It’s still early days. There is much more we can learn and do to develop, evaluate, and disseminate effective strategies, especially for students in great need of proven approaches.

References

Baye, A., Lake, C., Inns, A., & Slavin, R. (in press). Effective reading programs for secondary students. Reading Research Quarterly.

Inns, A., Lake, C., Pellegrini, M., & Slavin, R. (2018). Effective programs for struggling readers: A best-evidence synthesis. Paper presented at the annual meeting of the Society for Research on Educational Effectiveness, Washington, DC.

Pellegrini, M., Inns, A., & Slavin, R. (2018). Effective programs in elementary mathematics: A best-evidence synthesis. Paper presented at the annual meeting of the Society for Research on Educational Effectiveness, Washington, DC.

 Photo credit: IBM [CC BY-SA 3.0  (https://creativecommons.org/licenses/by-sa/3.0)], via Wikimedia Commons

This blog was developed with support from the Laura and John Arnold Foundation. The views expressed here do not necessarily reflect those of the Foundation.

 

The Mill and The School

 

On a recent trip to Scotland, I visited some very interesting oat mills. I always love to visit medieval mills, because I find it endlessly fascinating how people long ago used natural forces and materials – wind, water, and fire, stone, wood, and metal – to create advanced mechanisms that had a profound impact on society.

In Scotland, it’s all about oat mills (almost everywhere else, it’s wheat). These grain mills date back to the 10th century. In their time, they were a giant leap in technology. A mill is very complicated, but at its heart are two big innovations. In the center of the mill, a heavy millstone turns on top of another. The grain is poured through a hole in the top stone for grinding. The miller’s most difficult task is to maintain an exact distance between the stones. A few millimeters too far apart and no milling happens. A few millimeters too close and the heat of friction can ruin the machinery, possibly causing a fire.

The other key technology is the water wheel (except in windmills, of course). The water mill is part of a system that involves a carefully controlled flow of water from a millpond, which the miller uses to provide exactly the right amount of water to turn a giant wooden wheel, which powers the top millstone.

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The medieval grain mill is not a single innovation, but a closely integrated system of innovations. Millers learned to manage this complex technology in a system of apprenticeship over many years.

Mills enabled medieval millers to obtain far more nutrition from an acre of grain than was possible before. This made it possible for land to support many more people, and the population surged. The whole feudal system was built around the economics of mills, and mills thrived through the 19th century.

What does the mill have to with the school? Mills only grind well-behaved grain into well-behaved flour, while schools work with far more complex children, families, and all the systems that surround them. The products of schools must include joy and discovery, knowledge and skills.

Yet as different as they are, mills have something to teach us. They show the importance of integrating diverse systems that can then efficiently deliver desired outcomes. Neither a mill nor an effective school comes into existence because someone in power tells it to. Instead, complex systems, mills or schools, must be created, tested, adapted to local needs, and constantly improved. Once we know how to create, manage, and disseminate effective mills or schools, policies can be readily devised to support their expansion and improvement.

Important progress in societies and economies almost always comes about from development of complex, multi-component innovations that, once developed, can be disseminated and continuously improved. The same is true of schools. Changes in governance or large-scale policies can enhance (or inhibit) the possibility of change, but the reality of reform depends on creation of complex, integrated systems, from mills to ships to combines to hospitals to schools.

For education, what this means is that system transformation will come only when we have whole-school improvement approaches that are known to greatly increase student outcomes. Whole-school change is necessary because many individual improvements are needed to make big changes, and these must be carefully aligned with each other. Just as the huge water wheel and the tiny millstone adjustment mechanism and other components must work together in the mill, the key parts of a school must work together in synchrony to produce maximum impact, or the whole system fails to work as well as it should.

For example, if you look at research on proven programs, you’ll find effective strategies for school management, for teaching, and for tutoring struggling readers. These are all well and good, but they work so much better if they are linked to each other.

To understand this, first consider tutoring. Especially in the elementary grades, there is no more effective strategy. Our recent review of research on programs for struggling readers finds that well-qualified teaching assistants can be as effective as teachers in tutoring struggling readers, and that while one-to-four tutoring is less effective than one-to-one, it is still a lot more effective than no tutoring. So an evidence-oriented educator might logically choose to implement proven one-to-one and/or one-to-small group tutoring programs to improve school outcomes.

However, tutoring only helps the students who receive it, and it is expensive. A wise school administrator might reason that tutoring alone is not sufficient, but improving the quality of classroom instruction is also essential, both to improve outcomes for students who do not need tutoring and to reduce the number of students who do need tutoring. There is an array of proven classroom methods the principal or district might choose to improve student outcomes in all subjects and grade levels (see www.evidenceforessa.org).

But now consider students who are at risk because they are not attending regularly, or have behavior problems, or need eyeglasses but do not have them. Flexible school-level systems are necessary to ensure that students are in school, eager to learn, well-behaved, and physically prepared to succeed.

In addition, there is a need to have school principals and other leaders learn strategies for making effective use of proven programs. These would include managing professional development, coaching, monitoring implementation and outcomes of proven programs, distributed leadership, and much more. Leadership also requires jointly setting school goals with all school staff and monitoring progress toward these goals.

These are all components of the education “mill” that have to be designed, tested, and (if effective) disseminated to ever-increasing numbers of schools. Like the mill, an effective school design integrates individual parts, makes them work in synchrony, constantly assesses their functioning and output, and adjusts procedures when necessary.

Many educational theorists argue that education will only change when systems change. Ferocious battles rage about charters vs. ordinary public schools, about adopting policies of countries that do well on international tests, and so on. These policies can be important, but they are unlikely to create substantial and lasting improvement unless they lead to development and dissemination of proven whole-school approaches.

Effective school improvement is not likely to come about from let-a-thousand-flowers-bloom local innovation, nor from top-level changes in policy or governance. Sufficient change will not come about by throwing individual small innovations into schools and hoping they will collectively make a difference. Instead, effective improvement will take root when we learn how to reliably create effective programs for schools, implement them in a coordinated and planful way, find them effective, and then disseminate them. Once such schools are widespread, we can build larger policies and systems around their needs.

Coordinated, schoolwide improvement approaches offer schools proven strategies for increasing the achievement and success of their children. There should be many programs of this kind, among which schools and districts can choose. A school is not the same as mill, but the mill provides at least one image of how creating complex, integrated replicable systems can change whole societies and economies. We should learn from this and many other examples of how to focus our efforts to improve outcomes for all children.

Photo credit: By Johnson, Helen Kendrik [Public domain], via Wikimedia Commons

This blog was developed with support from the Laura and John Arnold Foundation. The views expressed here do not necessarily reflect those of the Foundation.

Great Tutors Could Be a Source of Great Teachers

blog_4-19-18_tutoring_500x329In a recent blog, I wrote about findings of three recent reviews of research on tutoring, contained within broader reviews of research on effective programs for struggling elementary readers, struggling secondary readers, and math. The blog reported the astonishing finding that in each of the reviews, outcomes for students tutored by paraprofessionals (teaching assistants) were as good, and usually somewhat better, than outcomes for students tutored by teachers.

It is important to note that the paraprofessionals tutoring students usually had BAs, one indicator of high quality. But since paras are generally paid about half as much as teachers, using them enables schools to serve twice as many struggling students at about the same cost as hiring teacher tutors. And because there are teacher shortages in many areas, such as inner cities and rural locations, sufficient teachers may not be available in some places at any cost.

In my earlier blog, I explained all this, but now I’d like to expand on one aspect of the earlier blog I only briefly mentioned.

If any district or state decided to invest substantially in high-quality paraprofessional tutors and train them in proven one-to-one and one-to-small group tutoring strategies, it would almost certainly increase the achievement of struggling learners and reduce retentions and special education placements. But it could also provide a means of attracting capable recent university graduates into teaching.

Imagine that districts or states recruited students graduating from local universities to serve in a “tutor corps.” Those accepted would be trained and mentored to become outstanding tutors. From within that group, tutors who show the greatest promise would be invited to participate in a fast-track teacher certification program. This would add coursework to the paraprofessionals’ schedules, while they continue tutoring during other times. In time, the paraprofessionals would be given opportunities to do brief classroom internships, and then student teaching. Finally, they would receive their certification, and would be assigned to a school in the district or state.

There are several features worth noting about this proposal. First, the paraprofessionals would be paid throughout their teacher training, because at all points they would be providing valuable services to children. This would make it easier for recent university graduates to take courses leading to certification, which could expand the number of promising recent graduates who might entertain the possibility of becoming teachers. Paying teacher education candidates (as tutors) throughout their time in training could open the profession to a broader range of talented candidates, including diverse candidates who could not afford traditional teacher education.

Second, the whole process of recruiting well-qualified paraprofessionals, training and mentoring them as tutors, selecting the best of them to become certified, and providing coursework and student teaching experiences for them, would be managed by school districts or states, not by universities. School districts and states have a strong motivation to select the best teachers, see that they get excellent training and mentoring, and proceed to certification only when they are ready. Coursework might be provided by university professors contracted by the district or qualified individuals within the district or state. Again, because the district or state has a strong interest in having these experiences be optimal for their future teachers, they would be likely to take an active role in ensuring that coursework and coaching are first rate.

One important advantage of this system would be that it would give school, district, and state leaders opportunities to see future teachers operate in real schools over extended periods of time, first as tutors, then as interns, then as student teachers. At the end of the process, the school district or state should be willing to guarantee that all who succeed in this demanding sequence will be offered a job. They should be able to do this with confidence, because school and district staff would have seen the candidate work with real children in real schools.

The costs of this system might be minimal. During tutoring, internships, and student teaching, teacher candidates are providing invaluable services to struggling students. The only additional cost would entail providing coursework to meet state or district requirements. But this cost could be modest, and in exchange for paying for or providing the courses, the district or state would gain the right to select instructors of very high quality and insist on their effectiveness in practice. These are the schools’ own future teachers, and they should not be satisfied with less than stellar teacher education.

The system I’m proposing could operate alongside of traditional programs provided by universities. School districts or states might in fact create partnerships in which all teacher education candidates would serve as tutors as part of their teacher education, in which case university-led and district-led teacher education may essentially merge into one.

This system is more obviously attuned to the needs of elementary schools than secondary schools, because historically tutors have been rarely used in the secondary grades. Yet recent evidence from studies in England (http://www.bestevidence.org/reading/mhs/mhs_read.htm) has shown positive effects of tutoring in reading in the middle grades, and it seems likely that one-to-one or one-to-small group tutoring would be beneficial in all major subjects and, as in elementary school, may keep students who are far behind grade level in a given subject out of special education and able to keep up with their classmates. If paraprofessional tutors can work in the secondary grades, this would form the basis for a teacher certification plan like the one I have described.

Designing teacher certification programs around the needs of recent BAs sounds like Teach for America, and in many ways it is. But this system would, I’d argue, be more likely to attract large numbers of talented young people who would be more likely than TFA grads to stay in teaching for many years.

The main reason schools, districts, and states should invest in tutoring by paraprofessionals is to serve the large number of struggling learners who exist in every district. But in the course of doing this, districts could also take control of their own destinies and select and train the teachers they need. The result would be better teachers for all students, and a teaching profession that knows how to use proven programs to ensure the success of all.

This blog was developed with support from the Laura and John Arnold Foundation. The views expressed here do not necessarily reflect those of the Foundation.

New Findings on Tutoring: Four Shockers

blog_04 05 18_SURPRISE_500x353One-to-one and one-to-small group tutoring have long existed as remedial approaches for students who are performing far below expectations. Everyone knows that tutoring works, and nothing in this blog contradicts this. Although different approaches have their champions, the general consensus is that tutoring is very effective, and the problem with widespread use is primarily cost (and for tutoring by teachers, availability of sufficient teachers). If resources were unlimited, one-to-one tutoring would be the first thing most educators would recommend, and they would not be wrong. But resources are never unlimited, and the numbers of students performing far below grade level are overwhelming, so cost-effectiveness is a serious concern. Further, tutoring seems so obviously effective that we may not really understand what makes it work.

In recent reviews, my colleagues and I examined what is known about tutoring. Beyond the simple conclusion that “tutoring works,” we found some big surprises, four “shockers.” Prepare to be amazed! Further, I propose an explanation to account for these unexpected findings.

We have recently released three reviews that include thorough, up-to-date reviews of research on tutoring. One is a review of research on programs for struggling readers in elementary schools by Amanda Inns and colleagues (2018). Another is a review on programs for secondary readers by Ariane Baye and her colleagues (2017). Finally, there is a review on elementary math programs by Marta Pellegrini et al. (2018). All three use essentially identical methods, from the Best Evidence Encyclopedia (www.bestevidence.org). In addition to sections on tutoring strategies, all three also include other, non-tutoring methods directed at the same populations and outcomes.

What we found challenges much of what everyone thought they knew about tutoring.

Shocker #1: In all three reviews, tutoring by paraprofessionals (teaching assistants) was at least as effective as tutoring by teachers. This was found for reading and math, and for one-to-one and one-to-small group tutoring.  For struggling elementary readers, para tutors actually had higher effect sizes than teacher tutors. Effect sizes were +0.53 for paras and +0.36 for teachers in one-to-one tutoring. For one-to-small group, effect sizes were +0.27 for paras, +0.09 for teachers.

Shocker #2: Volunteer tutoring was far less effective than tutoring by either paras or teachers. Some programs using volunteer tutors provided them with structured materials and extensive training and supervision. These found positive impacts, but far less than those for paraprofessional tutors. Volunteers tutoring one-to-one had an effect size of +0.18, paras had an effect size of +0.53. Because of the need for recruiting, training, supervision, and management, and also because the more effective tutoring models provide stipends or other pay, volunteers were not much less expensive than paraprofessionals as tutors.

Shocker #3:  Inexpensive substitutes for tutoring have not worked. Everyone knows that one-to-one tutoring works, so there has long been a quest for approaches that simulate what makes tutoring work. Yet so far, no one, as far as I know, has found a way to turn lead into tutoring gold. Although tutoring in math was about as effective as tutoring in reading, a program that used online math tutors communicating over the Internet from India and Sri Lanka to tutor students in England, for example, had no effect. Technology has long been touted as a means of simulating tutoring, yet even when computer-assisted instruction programs have been effective, their effect sizes have been far below those of the least expensive tutoring models, one-to-small group tutoring by paraprofessionals. In fact, in the Inns et al. (2018) review, no digital reading program was found to be effective with struggling readers in elementary schools.

 Shocker #4: Certain whole-class and whole-school approaches work as well or better for struggling readers than tutoring, on average. In the Inns et al. (2018) review, the average effect size for one-to-one tutoring approaches was +0.31, and for one-to-small group approaches it was +0.14. Yet the mean for whole-class approaches, such as Ladders to Literacy (ES = +0.48), PALS (ES = +0.65), and Cooperative Integrated Reading and Composition (ES = +0.19) averaged +0.33, similar to one-to-one tutoring by teachers (ES = +0.36). The mean effect sizes for comprehensive tiered school approaches, such as Success for All (ES = +0.41) and Enhanced Core Reading Instruction (ES = +0.22) was +0.43, higher than any category of tutoring (note that these models include tutoring as part of an integrated response to implementation approach). Whole-class and whole-school approaches work with many more students than do tutoring models, so these impacts are obtained at a much lower cost per pupil.

Why does tutoring work?

Most researchers and others would say that well-structured tutoring models work primarily because they allow tutors to fully individualize instruction to the needs of students. Yet if this were the only explanation, then other individualized approaches, such as computer-assisted instruction, would have outcomes similar to those of tutoring. Why is this not the case? And why do paraprofessionals produce at least equal outcomes to those produced by teachers as tutors? None of this squares with the idea that the impact of tutoring is entirely due to the tutor’s ability to recognize and respond to students’ unique needs. If that were so, other forms of individualization would be a lot more effective, and teachers would presumably be a lot more effective at diagnosing and responding to students’ problems than would less highly trained paraprofessionals. Further, whole-class and whole-school reading approaches, which are not completely individualized, would have much lower effect sizes than tutoring.

My theory to account for the positive effects of tutoring in light of the four “shockers” is this:

  • Tutoring does not work due to individualization alone. It works due to individualization plus nurturing and attention.

This theory begins with the fundamental and obvious assumption that children, perhaps especially low achievers, are highly motivated by nurturing and attention, perhaps far more than by academic success. They are eager to please adults who relate to them personally.  The tutoring setting, whether one-to-one or one-to-very small group, gives students the undivided attention of a valued adult who can give them personal nurturing and attention to a degree that a teacher with 20-30 students cannot. Struggling readers may be particularly eager to please a valued adult, because they crave recognition for success in a skill that has previously eluded them.

Nurturing and attention may explain the otherwise puzzling equality of outcomes obtained by teachers and paraprofessionals as tutors. Both types of tutors, using structured materials, may be equally able to individualize instruction, and there is no reason to believe that paras will be any less nurturing or attentive. The assumption that teachers would be more effective as tutors depends on the belief that tutoring is complicated and requires the extensive education a teacher receives. This may be true for very unusual learners, but for most struggling students, a paraprofessional may be as capable as a teacher in providing individualization, nurturing, and attention. This is not to suggest that paraprofessionals are as capable as teachers in every way. Teachers have to be good at many things: preparing and delivering lessons, managing and motivating classes, and much more. However, in their roles as tutors, teachers and paraprofessionals may be more similar.

Volunteers certainly can be nurturing and attentive, and can be readily trained in structured programs to individualize instruction. The problem, however, is that studies of volunteer programs report difficulties in getting volunteers to attend every day and to avoid dropping out when they get a paying job. This is may be less of a problem when volunteers receive a stipend; paid volunteers are much more effective than unpaid ones.

The failure of tutoring substitutes, such as individualized technology, is easy to predict if the importance of nurturing and attention is taken into account. Technology may be fun, and may be individualized, but it usually separates students from the personal attention of caring adults.

Whole-Class and Whole-School Approaches.

Perhaps the biggest shocker of all is the finding that for struggling readers, certain non-technology approaches to instruction for whole classes and schools can be as effective as tutoring. Whole-class and whole-school approaches can serve many more students at much lower cost, of course. These classroom approaches mostly use cooperative learning and phonics-focused teaching, or both, and the whole-school models especially Success for All,  combine these approaches with tutoring for students who need it.

The success of certain whole-class programs, of certain tutoring approaches, and of whole-school approaches that combine proven teaching strategies with tutoring for students who need more, argues for response to intervention (RTI), the policy that has been promoted by the federal government since the 1990s. So what’s new? What’s new is that the approach I’m advocating is not just RTI. It’s RTI done right, where each component of  the strategy has strong evidence of effectiveness.

The good news is that we have powerful and cost-effective tools at our disposal that we could be putting to use on a much more systematic scale. Yet we rarely do this, and as a result far too many students continue to struggle with reading, even ending up in special education due to problems schools could have prevented. That is the real shocker. It’s up to our whole profession to use what works, until reading failure becomes a distant memory. There are many problems in education that we don’t know how to solve, but reading failure in elementary school isn’t one of them.

Practical Implications.

Perhaps the most important practical implication of this discussion is a realization that benefits similar or greater than those of one-to-one tutoring by teachers can be obtained in other ways that can be cost-effectively extended to many more students: Using paraprofessional tutors, using one-to-small group tutoring, or using whole-class and whole-school tiered strategies. It is no longer possible to say with a shrug, “of course tutoring works, but we can’t afford it.” The “four shockers” tell us we can do better, without breaking the bank.

 

References

Baye, A., Lake, C., Inns, A., & Slavin, R. (2017). Effective reading programs for secondary students. Manuscript submitted for publication. Also see Baye, A., Lake, C., Inns, A. & Slavin, R. E. (2017, August). Effective Reading Programs for Secondary Students. Baltimore, MD: Johns Hopkins University, Center for Research and Reform in Education.

Inns, A., Lake, C., Pellegrini, M., & Slavin, R. (2018). Effective programs for struggling readers: A best-evidence synthesis. Paper presented at the annual meeting of the Society for Research on Educational Effectiveness, Washington, DC.

Pellegrini, M., Inns, A., & Slavin, R. (2018). Effective programs in elementary mathematics: A best-evidence synthesis. Paper presented at the annual meeting of the Society for Research on Educational Effectiveness, Washington, DC.

This blog was developed with support from the Laura and John Arnold Foundation. The views expressed here do not necessarily reflect those of the Foundation.

Photo by Westsara (Own work) [CC BY-SA 4.0 (https://creativecommons.org/licenses/by-sa/4.0)], via Wikimedia Commons

 

Proven Tutoring Approaches: The Path to Universal Proficiency

There are lots of problems in education that are fundamentally difficult. Ensuring success in early reading, however, is an exception. We know what skills children need in order to succeed in reading. No area of teaching has a better basis in high-quality research. Yet the reading performance of America’s children is not improving at an adequate pace. Reading scores have hardly changed in the past decade, and gaps between white, African-American, and Hispanic students have been resistant to change.
In light of the rapid growth in the evidence base, and of the policy focus on early reading at the federal and state levels, this is shameful. We already know a great deal about how to improve early reading, and we know how to learn more. Yet our knowledge is not translating into improved practice and improved outcomes on a large enough scale.
There are lots of complex problems in education, and complex solutions. But here’s a really simple solution:

 

Over the past 30 years researchers have experimented with all sorts of approaches to improve students’ reading achievement. There are many proven and promising classroom approaches, and such programs should be used with all students in initial teaching as broadly as possible. Effective classroom instruction, universal access to eyeglasses, and other proven approaches could surely reduce the number of students who need tutors. But at the end of the day, every child must read well. And the only tool we have that can reliably make a substantial difference at scale with struggling readers is tutors, using proven one-to-one or small-group methods.

I realized again why tutors are so important in a proposal I’m making to the State of Maryland, which wants to bring all or nearly all students to “proficient” on its state test, the PARCC. “Proficient” on the PARCC is a score of 750, with a standard deviation of about 50. The state mean is currently around 740. I made a colorful chart (below) showing “bands” of scores below 750 to show how far students have to go to get to 750.

 

Each band covers an effect size of 0.20. There are several classroom reading programs with effect sizes this large, so if schools adopted them, they could move children scoring at 740 to 750. These programs can be found at www.evidenceforessa.org. But implementing these programs alone still leaves half of the state’s children not reaching “proficient.”

What about students at 720? They need 30 points, or +0.60. The best one-to-one tutoring can achieve outcomes like this, but these are the only solutions that can.

Here are mean effect sizes for various reading tutoring programs with strong evidence:

 

 

As this chart shows, one-to-one tutoring, by well-trained teachers or paraprofessionals using proven programs, can potentially have the impacts needed to bring most students scoring 720 (needing 30 points or an effect size of +0.60) to proficiency (750). Three programs have reported effect sizes of at least +0.60, and several others have approached this level. But what about students scoring below 720?

So far I’ve been sticking to established facts, studies of tutoring that are, in most cases, already being disseminated. Now I’m entering the region of well-justified supposition. Almost all studies of tutoring occupy just one year or less. But what if the lowest achievers could receive multiple years of tutoring, if necessary?

One study, over 2½ years, did find an effect size of +0.68 for one-to-one tutoring. Could we do better that that? Most likely. In addition to providing multiple years of tutoring, it should be possible to design programs to achieve one-year effect sizes of +1.00 or more. These may incorporate technology or personalized approaches specific to the needs of individual children. Using the best programs for multiple years, if necessary, could increase outcomes further. Also, as noted earlier, using proven programs other than tutoring for all students may increase outcomes for students who also receive tutoring.

But isn’t tutoring expensive? Yes it is. But it is not as expensive as the costs of reading failure: Remediation, special education, disappointment, and delinquency. If we could greatly improve the reading performance of low achievers, this would of course reduce inequities across the board. Reducing inequities in educational outcomes could reduce inequities in our entire society, an outcome of enormous importance.

Even providing a substantial amount of teacher tutoring could, by my calculations, increase total state education expenditures (in Maryland) by only about 12%. These costs could be reduced greatly or even eliminated by reducing expenditures on ineffective programs, reducing special education placements, and other savings. Having some tutoring done by part time teachers may reduce costs. Using small-group tutoring (fewer than 6 students at a time) for students with milder problems may save a great deal of money. Even at full cost, the necessary funding could be phased in over a period of 6 years at 2% a year.

The bottom line is that the low levels of achievement and high levels of gaps according to economic and racial differences could be improved a great deal using methods already proven to be effective and already widely available. Educators and policy makers are always promising policies that bring every child to proficiency: “No Child Left Behind” and “Every Student Succeeds” come to mind. Yet if these outcomes are truly possible, why shouldn’t we be pursuing them, with every resource at our disposal?

Time Passes. Will You?

When I was in high school, one of my teachers posted a sign on her classroom wall under the clock:

Time passes. Will you?

Students spend a lot of time watching clocks, yearning for the period to be over. Yet educators and researchers often seem to believe that more time is of course beneficial to kids’ learning. Isn’t that obvious?

In a major review of secondary reading programs I am completing with my colleagues Ariane Baye, Cynthia Lake, and Amanda Inns, it turns out that the kids were right. More time, at least in remedial reading, may not be beneficial at all.

Our review identified 60 studies of extraordinary quality- mostly large-scale randomized experiments- evaluating reading programs for students in grades 6 to 12. In most of the studies, students reading 2 to 5 grade levels below expectations were randomly assigned to receive an extra class period of reading instruction every day all year, in some cases for two or three years. Students randomly assigned to the control group continued in classes such as art, music, or study hall. The strategies used in the remedial classes varied widely, including technology approaches, teaching focused on metacognitive skills (e.g., summarization, clarification, graphic organizers), teaching focused on phonics skills that should have been learned in elementary school, and other remedial approaches, all of which provided substantial additional time for reading instruction. It is also important to note that the extra-time classes were generally smaller than ordinary classes, in the range of 12 to 20 students.

In contrast, other studies provided whole class or whole school methods, many of which also focused on metacognitive skills, but none of which provided additional time.

Analyzing across all studies, setting aside five British tutoring studies, there was no effect of additional time in remedial reading. The effect size for the 22 extra-time studies was +0.08, while for 34 whole class/whole school studies, it was slightly higher, ES =+0.10. That’s an awful lot of additional teaching time for no additional learning benefit.

So what did work? Not surprisingly, one-to-one and small-group tutoring (up to one to four) were very effective. These are remedial and do usually provide additional teaching time, but in a much more intensive and personalized way.

Other approaches that showed particular promise simply made better use of existing class time. A program called The Reading Edge involves students in small mixed-ability teams where they are responsible for the reading success of all team members. A technology approach called Achieve3000 showed substantial gains for low-achieving students. A whole-school model called BARR focuses on social-emotional learning, building relationships between teachers and students, and carefully monitoring students’ progress in reading and math. Another model called ERWC prepares 12th graders to succeed on the tests used to determine whether students have to take remedial English at California State Universities.

What characterized these successful approaches? None were presented as remedial. All were exciting and personalized, and not at all like traditional instruction. All gave students social supports from peers and teachers, and reasons to hope that this time, they were going to be successful.

There is no magic to these approaches, and not every study of them found positive outcomes. But there was clearly no advantage of remedial approaches providing extra time.

In fact, according to the data, students would have done just as well to stay in art or music. And if you’d asked the kids, they’d probably agree.

Time is important, but motivation, caring, and personalization are what counts most in secondary reading, and surely in other subjects as well.

Time passes. Kids will pass, too, if we make such good use of our time with them that they won’t even notice the minutes going by.