A 1:1 tutor for every child. In 1984 Benjamin Bloom compared children taught one-to-one with children taught in a conventional class. The tutored children scored about two standard deviations higher — the average tutored child did better than 98% of the class. He called it the 2 Sigma Problem, because 1:1 tutoring had never been affordable at scale. It is now. Bloom, 1984
Mastery learning. Bloom’s tutored children were also taught to mastery: a child does not move on until they have genuinely understood the current step. Across dozens of studies, mastery learning alone lifts achievement by around half a standard deviation. Luna checks understanding before every step forward and goes back when it is missing. Kulik, Kulik & Bangert-Drowns, 1990
The zone of proximal development. Lev Vygotsky showed that children learn fastest on work just beyond what they can do alone, with support from someone who can. Too easy and nothing is learned; too hard and they shut down. The diagnostic finds that zone for each topic, and Luna keeps every lesson inside it. Vygotsky, 1978
The forgetting curve. Hermann Ebbinghaus found that we lose most of what we learn within days unless we revisit it, and that each well-timed review flattens the curve. Luna brings skills back for retrieval at increasing intervals, so what your child learned last month is still there next year. Murre & Dros, 2015
Metacognition. John Flavell’s research on metacognition shows that children who monitor their own understanding — who can tell when they are stuck and why — learn more from the same lessons. Luna asks your child to explain their thinking, predict their answers and rate their own confidence, so they learn how to learn. Flavell, 1979