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Don J Silva's avatar

Failure to reject the null hypothesis, I at least was taught, demonstrates merely that there is no relationship between two data sets. Failure to reject the null hypothesis does not prove anything and its use as evidence in favor of some other assertion is weak evidence at best. Thus, using the null hypothesis as a basis for the various dubious assertions made or implied here seems to do quite some violence to the ordinary limits of what is traditionally understood as “the null hypothesis.” If you want to wave around the null hypothesis, that would ordinarily imply you have no standing for making a policy prescriptions, even it is only to accept the status quo.

The assertions that appear to be made here that we are asked to accept based upon failure to reject the null include:

1. “for the purpose of mass education, schooling as we do it today has evolved to be nearly optimal”

2. “When the other kids in elementary school want the approval of the teacher, I want the approval of the teacher. For most students, that is necessary and sufficient motivation. That is why ordinary classroom learning works, and nothing else works at scale,” and

3. “Take the average 8-year old out of the classroom and put him in front of a computer at home, where he no longer sees other kids wanting the approval of the teacher. His motivation drops to zero.”

Let’s take each in turn.

First, regarding the optimal US education system and its implied policy prescription of generalized complacency. The 2024 National Assessment of Educational Progress found:

“Thirty-one percent of fourth-grade students performed at or above the NAEP Proficient level on the reading assessment in 2024—2 percentage points lower compared to 2022 and not significantly different from 1992, the first reading assessment year.”

(https://www.nationsreportcard.gov/reports/reading/2024/g4_8/national-trends/?grade=4#achievement-level-trends )

The lack of progress would appear to be a perfect demonstration of the null hypothesis: nothing makes a difference so why bother? However, around the world there are a variety of education models that produce different levels of achievement:

“Results from the most recent Programme for International Student Assessment (PISA) in 2015, which is a test administered to 15-year-old students in participating economies every three years, showed that students in the United States lag far behind other high-income countries across different subjects, despite making the most progress in equity compared to other participating countries. … …

Analysts determined that the nations and city-states at the top of the rankings had several things in common. For one, they had well-established standards for education with clear goals for all students. Although these countries have well-delineated standards, they do not necessarily outline similar goals. For example, one country may emphasize cooperation, another student growth, or yet another may focus on equality, as in Finland.[2] Another thing the high-performing nations had in common was a tendency to recruit teachers from the top 5 to 10 percent of university graduates each year, which is not the case for most countries (National Public Radio 2010).

Finally, there is the issue of social factors. One analyst from the Organization for Economic Cooperation and Development, the organization that created the test, attributed 20 percent of performance differences and the United States’ low rankings to differences in social background. Researchers noted that educational resources, including money and quality teachers, are not distributed equitably in the United States. In the top-ranking countries, limited access to resources did not necessarily predict low performance. Analysts also noted what they described as ‘resilient students,’ or those students who achieve at a higher level than one might expect given their social background. In Shanghai and Singapore, the proportion of resilient students is about 70 percent. In the United States, it is below 30 percent. These insights suggest that the United States’ educational system may be on a descending trajectory that could detrimentally affect the country’s economy and its social landscape (National Public Radio 2010).

Recent research has found that the United States’ low overall educational achievement is in large part due to an underperformance by the middle class. The poorest students in the United States, despite being among the most socioeconomically disadvantaged around the world, perform averagely relative to other poor students. The richest students from the U.S., despite being among the wealthiest, are also average when compared to other rich students – which is also an alarming finding. However, students in the middle of the SES distribution perform half a school year behind comparable middle-SES students, despite being among the wealthiest middle-SES groups in the world.”

(https://courses.lumenlearning.com/wm-introductiontosociology/chapter/education-around-the-world/ )

So even if the US lacks the intellectual capital to produce efficacious educational reform, there is no convincing evidence that education reform is necessarily doomed in all places and at all times. The interest of basic national survival alone would counsel continued efforts regardless of the track record of failure. What really needs to be addressed and overcome is the doctrine of establishment complacency (aka “institutionalism”.) The threat of a moldering status quo is much worse than than the threat of change.

On the second assertion, there is a vast literature on the varieties of learning motivation that is easily accessible. LLM prompt: What are the major theories of student learning movition in schools?

On the final assertion asserting the primacy of teacher approval-centered mimetic motivation in learning:

“Research shows that children self-motivate information seeking behavior to solve problems. For example, 5–9-year-old children are more likely to persist in information-seeking behavior to effectively solve a problem when given ambiguous rather than conclusive evidence (Busch & Legare, 2019). Children also adjust self-motivated exploratory behavior under problem-solving conditions in response to the credibility of their resources (Gweon et al., 2014). Some researchers suggest children are actually better self-motivated problem-solvers than adults (Lucas et al., 2014), as children seemingly are more willing to expend effort exploring information and resources before exploiting findings and drawing conclusions (Liquin & Gopnik, 2022). On the other hand, children may be less efficient self-motivated learners since they may struggle to terminate information-seeking behavior, even after the answer has been discovered (Ruggeri et al., 2016).”

(https://www.sciencedirect.com/science/article/pii/S0001691822003316 )

The null hypothesis might tell us something specific, but it does not justify endorsement of any other policy prescription.

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Rob F.'s avatar

Confused about whether Arnold thinks Alpha School has beaten the Null Hypothesis. At the end he seems to say that he believes the essay critical of the reformers, but compares a classroom setting to being alone with a computer, which is a straw-man.

I think that most interventions are too small or short-lived to expect major changes. Alpha School's completely different structure, going from K-12, seems like it clearly meets the intervention size and length to expect a non-null hypothesis. I have full expectation that they have found a better way to educate, and I hope it spreads.

The emphasis on practical skills and engagement with the real world would also tend to result in better outcomes for students than singular focus on SAT test performance, given the reality that industry cares about more than just IQ. Some of the wealthiest people I know are in sales or own/run a business, doing much better than me who was single-minded / successful in academics.

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