Every one of these is a real, published paper you can look up. Where we could not place a citation with confidence we described the finding and left the reference off, and where a decision is ours rather than the literature's we said so above. If you think we have misread one of these, tell us and we will fix the page.
Roediger, H. L., & Karpicke, J. D. (2006). Test-enhanced learning: Taking memory tests improves long-term retention. Psychological Science.
Retrieval beats restudy at a delay, and loses to it immediately — which is why the wrong method feels better.
Cepeda, N. J., Pashler, H., Vul, E., Wixted, J. T., & Rohrer, D. (2006). Distributed practice in verbal recall tasks: A review and quantitative synthesis. Psychological Bulletin.
The spacing effect, across a very large body of experiments. The basis for the ladder.
Rohrer, D., & Taylor, K. Work on interleaved and distributed practice of mathematics problems.
Mixing problem types depresses practice performance and improves delayed test performance.
Bjork, R. A. (1994). Memory and metamemory considerations in the training of human beings. In J. Metcalfe & A. Shimamura (Eds.), Metacognition.
Desirable difficulties: the conditions that slow acquisition and improve retention. The frame for everything above.
Butterfield, B., & Metcalfe, J. (2001). Errors committed with high confidence are hypercorrected. Journal of Experimental Psychology: Learning, Memory, and Cognition.
Confident errors are corrected more readily once feedback arrives — the reason the sure-and-wrong tap is worth its interaction.
Dunlosky, J., Rawson, K. A., Marsh, E. J., Nathan, M. J., & Willingham, D. T. (2013). Improving students' learning with effective learning techniques. Psychological Science in the Public Interest.
Ten techniques rated. Practice testing and distributed practice are the two that come out high-utility.
Sweller, J., & Cooper, G. A. (1985). The use of worked examples as a substitute for problem solving in learning algebra. Cognition and Instruction.
Worked examples beat problem solving for novices — the finding behind leading with a solved problem on a concept miss. Later work found the advantage shrinks and can reverse as expertise grows, which is why explanations should thin out rather than scale up.
Ramirez, G., & Beilock, S. L. (2011). Writing about testing worries boosts exam performance in the classroom. Science.
Ten minutes of expressive writing before an exam, with the benefit concentrated in anxious students.
Pashler, H., McDaniel, M., Rohrer, D., & Bjork, R. (2008). Learning styles: Concepts and evidence. Psychological Science in the Public Interest.
The meshing hypothesis does not survive studies designed to test it.
Yeager, D. S., et al. (2019). A national experiment reveals where a growth mindset improves achievement. Nature.
A real but small effect, concentrated in lower-achieving students. Cited here so nobody has to take our word for the size.
Sisk, V. F., Burgoyne, A. P., Sun, J., Butler, J. L., & Macnamara, B. N. (2018). To what extent and under which circumstances are growth mind-sets important to academic achievement? Two meta-analyses. Psychological Science.
Average growth-mindset effects across the literature are small, with the clearest benefits for students at academic risk.
One more time, because it is the whole point: These are findings from other people's controlled studies, and we have built the product they point at. We have not measured ourselves, and we are not going to sell you a number we did not measure.