The Big Index
How learning works
Retrieval, spacing, mastery and feedback: the techniques with the best evidence, and the myths to drop.
- 112 entries
- 84 free
- 12 must-reads ★
Questions parents ask
What is the single most useful study habit I can teach my child?
Self-testing (retrieval practice): having your child recall what they know before looking at notes, through quizzes, flashcards or just telling you about it. Reviews of hundreds of studies rate it among the most effective techniques, and it beats rereading in lab and classroom studies alike.
- Improving Students' Learning With Effective Learning Techniques: Promising Directions From Cognitive and Educational Psychology (Dunlosky, Rawson, Marsh, Nathan & Willingham)
- Test-Enhanced Learning: Taking Memory Tests Improves Long-Term Retention (Henry L. Roediger III & Jeffrey D. Karpicke)
- How to Use Retrieval Practice to Improve Learning (Agarwal, Roediger, McDaniel & McDermott)
- Retrieval Practice Consistently Benefits Student Learning: A Systematic Review of Applied Research in Schools and Classrooms (Agarwal, Nunes & Blunt)
More in How learning works
Is cramming the night before a test really that bad?
Cramming can work for a test the next morning, but much of it is forgotten soon after. Spreading the same study time over several days leads to far better long-term memory, and the gap between sessions should grow with how long the material needs to last.
- Distributed Practice in Verbal Recall Tasks: A Review and Quantitative Synthesis (Cepeda, Pashler, Vul, Wixted & Rohrer)
- How to Use Spaced Retrieval Practice to Boost Learning (Shana K. Carpenter & Pooja K. Agarwal)
- Benefits of Spaced Practice: Simple Recommendations for Parents (Megan Sumeracki & Yana Weinstein, The Learning Scientists)
More in How learning works
Are highlighting and rereading a waste of time?
Not useless, but weak. The major 2013 review rated highlighting, rereading and summarizing as low-utility for most students, partly because they make material feel familiar without testing whether it can be recalled. Use them as a first pass, then switch to self-quizzing.
- Improving Students' Learning With Effective Learning Techniques: Promising Directions From Cognitive and Educational Psychology (Dunlosky, Rawson, Marsh, Nathan & Willingham)
- Strengthening the Student Toolbox: Study Strategies to Boost Learning (John Dunlosky, American Educator)
- Ace That Test: A Student's Guide to Learning Better (The Learning Scientists)
More in How learning works
Is my child a visual (or auditory, or hands-on) learner?
Kids have preferences, but there is no good evidence that teaching to a 'learning style' improves learning. The best format depends on the content (maps are visual, music is auditory), and combining words with pictures tends to help everyone.
- Learning Styles: Concepts and Evidence (Pashler, McDaniel, Rohrer & Bjork)
- Daniel Willingham's Learning Styles FAQ (Daniel T. Willingham)
- Ask the Cognitive Scientist: Do Visual, Auditory, and Kinesthetic Learners Need Visual, Auditory, and Kinesthetic Instruction? (Daniel T. Willingham, American Educator)
- Neuromyths in Education: Prevalence and Predictors of Misconceptions among Teachers (Dekker, Lee, Howard-Jones & Jolles)
More in How learning works
Are people left-brained or right-brained?
No. Some brain functions lean to one side, but a scan study of over 1,000 people aged 7 to 29 found no evidence that whole people are 'left-brained' (logical) or 'right-brained' (creative).
- An Evaluation of the Left-Brain vs. Right-Brain Hypothesis with Resting State Functional Connectivity Magnetic Resonance Imaging (Jared Nielsen et al., University of Utah)
- Researchers debunk myth of right-brain and left-brain personality traits (University of Utah Health)
- GUEST POST: Exploring the Left Brain / Right Brain Myth (The Learning Scientists)
Should practice feel easy?
Usually not. Research on 'desirable difficulties' shows that spacing, mixing problem types and testing yourself feel harder and look worse in the moment but lead to better long-term learning. The difficulty must still be manageable; if a child is lost, it stops helping.
- Desirable Difficulties (Mariko Hewer, APS Observer)
- Desirable difficulty (Wikipedia)
- The benefit of interleaved mathematics practice is not limited to superficially similar kinds of problems (Doug Rohrer, Robert Dedrick & Kaleena Burgess)
- Similarity Matters: A Meta-Analysis of Interleaved Learning and Its Moderators (Matthias Brunmair & Tobias Richter)
Should math homework mix different kinds of problems?
Evidence says mixing (interleaving) usually helps, because kids must decide which method fits each problem. Classroom studies found large gains on delayed tests, though the benefit is biggest when problem types are easy to confuse.
- The benefit of interleaved mathematics practice is not limited to superficially similar kinds of problems (Doug Rohrer, Robert Dedrick & Kaleena Burgess)
- Interleaved Mathematics Practice: Giving Students a Chance to Learn What They Need to Know (Doug Rohrer, Robert Dedrick & Pooja Agarwal)
- Similarity Matters: A Meta-Analysis of Interleaved Learning and Its Moderators (Matthias Brunmair & Tobias Richter)
Should I let my child struggle to figure things out, or show them how?
For beginners, studying a worked example first usually beats unguided problem solving because it avoids overloading working memory. As skill grows, step back and let them work alone; extra guidance can then get in the way.
- Cognitive load theory: Research that teachers really need to understand (NSW Centre for Education Statistics and Evaluation)
- Cognitive load theory: Teaching strategies (Teacher Magazine (ACER))
- Why Minimal Guidance During Instruction Does Not Work (Paul Kirschner, John Sweller & Richard Clark)
What kind of feedback and praise actually helps?
Specific feedback about the task (what is right, what to fix, what to try next) helps most. Generic praise of the child does little, and a large share of feedback in studies even lowered performance when it shifted attention to the self.
- The Power of Feedback (John Hattie & Helen Timperley)
- The Power of Feedback Revisited: A Meta-Analysis of Educational Feedback Research (Benedikt Wisniewski, Klaus Zierer & John Hattie)
- Inside the Black Box: Raising Standards Through Classroom Assessment (Paul Black & Dylan Wiliam)
Does sleep really affect learning?
Yes. Sleep, especially deep sleep, helps consolidate new memories, and children may benefit even more than adults. Following age-based sleep guidelines is a sensible base before any study technique; talk to a pediatrician about ongoing sleep problems.
- About Sleep's Role in Memory (Bjorn Rasch & Jan Born)
- The sleeping child outplays the adult's capacity to convert implicit into explicit knowledge (Wilhelm et al.)
- About Sleep (US Centers for Disease Control and Prevention)
- Children and Sleep: Healthy Sleep Habits for Kids (Sleep Foundation)
How do adaptive learning apps decide what my child should practice next?
Most estimate what a child knows from their right and wrong answers, using models like Bayesian Knowledge Tracing, item response theory or neural networks, then pick items that are neither too easy nor too hard and schedule reviews before forgetting. No single model is best; simple ones often perform as well as deep learning.
- Bayesian knowledge tracing (Wikipedia)
- Item Response Theory (IRT) (Columbia University Mailman School of Public Health)
- When is Deep Learning the Best Approach to Knowledge Tracing? (Gervet, Koedinger, Schneider & Mitchell)
- Learning how to help you learn: Introducing Birdbrain! (Klinton Bicknell & Claire Brust, Duolingo)
Do flashcard apps with spaced repetition work for kids?
The underlying science (spacing plus self-testing) is strong, and personalized review schedules improved retention in a classroom study. Tools like Anki suit older kids and teens; younger children can use a paper Leitner box. Well-written, small cards matter as much as the app.
- Improving Students' Long-Term Knowledge Retention Through Personalized Review (Lindsey, Shroyer, Pashler & Mozer)
- Anki (Damien Elmes and contributors)
- How To Remember Anything Forever-ish (Nicky Case)
- Effective Learning: Twenty Rules of Formulating Knowledge (Piotr Wozniak)
Can one-on-one tutoring or mastery learning really make kids two grades better?
Bloom's famous 'two sigma' result is likely an outlier. Tutoring and mastery learning do help, often substantially, but typical effects are well below two standard deviations and gains from mastery learning show up more on teacher-made tests.
- The 2 Sigma Problem: The Search for Methods of Group Instruction as Effective as One-to-One Tutoring (Benjamin S. Bloom)
- On Bloom's two sigma problem: A systematic review of the effectiveness of mastery learning, tutoring, and direct instruction (Jose Luis Ricon)
- Effectiveness of Mastery Learning Programs: A Meta-Analysis (Kulik, Kulik & Bangert-Drowns)
Do learning games and gamified apps actually teach?
On average, yes, modestly. Meta-analyses find learning games beat ordinary instruction by about a third of a standard deviation, and game elements like points and badges give small-to-medium gains. Good design, scaffolding and repeated play matter more than flashy features.
- Digital Games, Design, and Learning: A Systematic Review and Meta-Analysis (Douglas Clark, Emily Tanner-Smith & Stephen Killingsworth)
- The Gamification of Learning: a Meta-analysis (Michael Sailer & Lisa Homner)
- A meta-analysis of the cognitive and motivational effects of serious games (Wouters, van Nimwegen, van Oostendorp & van der Spek)
Will brain-training games, Mozart or chess make my child smarter at school?
Probably not in the way ads suggest. Children get better at the trained game itself, but reviews find little reliable transfer to unrelated school skills, and the Mozart effect is small and unreliable. These activities are still worth doing for enjoyment.
- Do "Brain-Training" Programs Work? (Daniel Simons et al.)
- Does Far Transfer Exist? Negative Evidence From Chess, Music, and Working Memory Training (Giovanni Sala & Fernand Gobet)
- Mozart effect-Shmozart effect: A meta-analysis (Pietschnig, Voracek & Formann)
Must-reads
ReviewFree
Improving Students' Learning With Effective Learning Techniques: Promising Directions From Cognitive and Educational Psychology
Dunlosky, Rawson, Marsh, Nathan & Willingham, 2013
The landmark review of ten study habits. Self-testing and spreading study out rated best; rereading, highlighting and summarizing rated low, even though kids use them most. The APS page may ask for a login; free copies are widely posted.
psychologicalscience.org
GuideFree
Six Strategies for Effective Learning (posters, slides and bookmarks)
The Learning Scientists
Free posters and slides on six research-backed strategies: spaced practice, retrieval practice, elaboration, interleaving, concrete examples and dual coding. Clear enough to stick on a fridge; free for non-commercial use with credit.
learningscientists.org
GuideFree
The Science of Learning (2nd edition)
Deans for Impact, 2026
A short, free summary of what cognitive science says about how students understand, remember and transfer ideas, with classroom implications. The 2026 second edition adds common pitfalls and a section on helping students direct their own learning.
deansforimpact.org
GuideFree
Organizing Instruction and Study to Improve Student Learning (IES Practice Guide)
Pashler et al., US Institute of Education Sciences, 2007
A US government guide with seven recommendations, each graded by strength of evidence: space learning out, mix worked examples with problems, pair pictures with words, quiz often, and ask deep 'why' questions.
ies.ed.gov
BookPaid
Make It Stick: The Science of Successful Learning
Peter C. Brown, Henry L. Roediger III & Mark A. McDaniel, 2014
The best-known popular book on learning science, by a writer and two memory researchers. Explains retrieval practice, mixing up practice and why easy-feeling study creates an illusion of knowing. Link is the university's write-up of the book.
source.washu.edu
BookPaid
Why Don't Students Like School? (2nd edition)
Daniel T. Willingham, 2021
A cognitive scientist explains in plain language why thinking is hard work, why background knowledge matters, and why practice is essential. A favorite with teachers and very useful for parents. Link goes to the author's book list.
danielwillingham.com
OrganizationFree
RetrievalPractice.org
Pooja K. Agarwal
A hub run by cognitive scientist Pooja Agarwal with 100+ free downloads, practice guides, research snapshots and no-prep quiz ideas. Aimed at teachers, but the guides translate easily to the kitchen table.
retrievalpractice.org
ReviewFree
Cognitive load theory: Research that teachers really need to understand
NSW Centre for Education Statistics and Evaluation, 2017
A clear government review of cognitive load theory: working memory is small, long-term memory is huge, and novices learn best from explicit teaching and worked examples, with independence growing as skill grows.
education.nsw.gov.au
ReviewFree
Learning Styles: Concepts and Evidence
Pashler, McDaniel, Rohrer & Bjork, 2008
The definitive review on learning styles. There is no good evidence that matching teaching to a child's 'visual' or 'auditory' style improves learning; most studies never tested it properly.
digitalcommons.usf.edu
GameFree
How To Remember Anything Forever-ish
Nicky Case, 2018
A free interactive comic that teaches the forgetting curve and spaced repetition, then helps you build a paper Leitner box. Playful enough to explore together with a 9 to 12 year old.
ncase.me
Meta-analysisFree
Digital Games, Design, and Learning: A Systematic Review and Meta-Analysis
Douglas Clark, Emily Tanner-Smith & Stephen Killingsworth, 2016
Learning games beat non-game teaching by a modest margin (about a third of a standard deviation). Multiple play sessions mattered, and design features like scaffolding mattered as much as using a game at all.
pmc.ncbi.nlm.nih.gov
BlogFree
Encouraging Effective Learning Strategies: Tips for Parents
Yana Weinstein, The Learning Scientists, 2017
Concrete home advice from a cognitive psychologist: spread test prep over days, quiz from notes, ask kids to tell you about their day, keep rewards small, and model your own learning.
learningscientists.org
All 112
Study techniques that work
- ★Improving Students' Learning With Effective Learning Techniques: Promising Directions From Cognitive and Educational PsychologyDunlosky, Rawson, Marsh, Nathan & Willingham · 2013 · Review · FreeThe landmark review of ten study habits. Self-testing and spreading study out rated best; rereading, highlighting and summarizing rated low, even though kids use them most. The APS page may ask for a login; free copies are widely posted.
- Strengthening the Student Toolbox: Study Strategies to Boost LearningJohn Dunlosky, American Educator · 2013 · Article · FreeA short, readable version of the big 2013 review written for teachers. Explains why quizzing yourself and spacing study beat rereading, with simple classroom ideas parents can borrow for homework time.
- ★Six Strategies for Effective Learning (posters, slides and bookmarks)The Learning Scientists · Guide · FreeFree posters and slides on six research-backed strategies: spaced practice, retrieval practice, elaboration, interleaving, concrete examples and dual coding. Clear enough to stick on a fridge; free for non-commercial use with credit.
- Learning strategy videosThe Learning Scientists · Video · Free · Ages 8–12Short videos on each of the six learning strategies, in a slower classroom version and a quick, fun version aimed at students. A painless way to show an older child why self-quizzing beats rereading.
- Understanding How We Learn: A Visual GuideYana Weinstein & Megan Sumeracki, illus. Oliver Caviglioli · 2018 · Book · PaidAn illustrated book from two cognitive psychologists explaining how memory works and the six core study strategies, plus how to judge evidence. Written mostly for teachers but includes tips for parents.
- ★The Science of Learning (2nd edition)Deans for Impact · 2026 · Guide · FreeA short, free summary of what cognitive science says about how students understand, remember and transfer ideas, with classroom implications. The 2026 second edition adds common pitfalls and a section on helping students direct their own learning.
- ★Organizing Instruction and Study to Improve Student Learning (IES Practice Guide)Pashler et al., US Institute of Education Sciences · 2007 · Guide · FreeA US government guide with seven recommendations, each graded by strength of evidence: space learning out, mix worked examples with problems, pair pictures with words, quiz often, and ask deep 'why' questions.
- Principles of Instruction: Research-Based Strategies That All Teachers Should KnowBarak Rosenshine, American Educator · 2012 · Article · FreeTen widely shared principles drawn from cognitive science and studies of effective teachers: start with a short review, teach in small steps, check understanding, aim for a high success rate and review weekly and monthly.
- ★Make It Stick: The Science of Successful LearningPeter C. Brown, Henry L. Roediger III & Mark A. McDaniel · 2014 · Book · PaidThe best-known popular book on learning science, by a writer and two memory researchers. Explains retrieval practice, mixing up practice and why easy-feeling study creates an illusion of knowing. Link is the university's write-up of the book.
- ★Why Don't Students Like School? (2nd edition)Daniel T. Willingham · 2021 · Book · PaidA cognitive scientist explains in plain language why thinking is hard work, why background knowledge matters, and why practice is essential. A favorite with teachers and very useful for parents. Link goes to the author's book list.
- Eight Ways to Promote Generative LearningLogan Fiorella & Richard E. Mayer · 2016 · Review · PaidReviews eight activities that make learners build meaning themselves: summarizing, mapping, drawing, imagining, self-testing, self-explaining, teaching others and enacting. Shows that how a child processes material matters, with effect sizes for each.
- The ICAP Framework: Linking Cognitive Engagement to Active Learning OutcomesMichelene Chi & Ruth Wylie · 2014 · Review · PaidSorts learning activities into passive, active, constructive and interactive, and argues that learning grows as you move up the ladder. A useful lens for judging whether an app or worksheet makes kids think or only click.
Retrieval and spacing
- Test-Enhanced Learning: Taking Memory Tests Improves Long-Term RetentionHenry L. Roediger III & Jeffrey D. Karpicke · 2006 · Study · FreeThe classic testing-effect experiment. Students who recalled a passage remembered more a week later than students who reread it, even though rereaders felt more confident. Testing is a way to learn, not only to measure.
- ★RetrievalPractice.orgPooja K. Agarwal · Organization · FreeA hub run by cognitive scientist Pooja Agarwal with 100+ free downloads, practice guides, research snapshots and no-prep quiz ideas. Aimed at teachers, but the guides translate easily to the kitchen table.
- How to Use Retrieval Practice to Improve LearningAgarwal, Roediger, McDaniel & McDermott · 2020 · Guide · FreeA free illustrated guide by four leading memory researchers explaining retrieval practice (pulling information out of memory) and simple ways to use it, such as brain dumps, flashcards done right and quick no-stakes quizzes.
- How to Implement Retrieval-Based Learning in Early Childhood EducationLisa K. Fazio & Pooja K. Agarwal · 2020 · Guide · Free · Ages 0–5A rare guide focused on young children. Summarizes evidence that recall practice helps even preschoolers and early grade-schoolers, and suggests gentle ways to ask little kids to remember stories, words and events.
- How to Use Spaced Retrieval Practice to Boost LearningShana K. Carpenter & Pooja K. Agarwal · 2020 · Guide · FreeA free guide explaining why spreading practice over days and weeks beats cramming, and how to build revisits of old material into a routine. Includes simple planning ideas that work for homework too.
- Retrieval Practice Consistently Benefits Student Learning: A Systematic Review of Applied Research in Schools and ClassroomsAgarwal, Nunes & Blunt · 2021 · Review · FreeLooks only at studies done in real schools and classrooms rather than labs, and finds that retrieval practice helped in the large majority, across ages and subjects. Good evidence that the lab effect survives real life.
- Rethinking the Use of Tests: A Meta-Analysis of Practice TestingAdesope, Trevisan & Sundararajan · 2017 · Meta-analysis · PaidPools over 200 comparisons and finds practice tests beat restudying and other activities, with benefits across ages and formats. Multiple-choice and short-answer quizzes both helped, especially with feedback.
- Testing (Quizzing) Boosts Classroom Learning: A Systematic and Meta-Analytic ReviewYang, Luo, Vadillo, Yu & Shanks · 2021 · Meta-analysis · PaidA large meta-analysis of quizzing in real classrooms, from primary school to university. Class quizzes improved later exam results, with the gains holding across subjects and school levels.
- Distributed Practice in Verbal Recall Tasks: A Review and Quantitative SynthesisCepeda, Pashler, Vul, Wixted & Rohrer · 2006 · Meta-analysis · PaidThe key meta-analysis of the spacing effect, covering 317 experiments. Spaced study beats massed study, and the best gap between sessions grows with how long you need to remember something.
- The science of effective learning with spacing and retrieval practiceShana Carpenter, Steven Pan & Andrew Butler · 2022 · Review · PaidAn up-to-date review in Nature Reviews Psychology of why spacing and retrieval work, how to apply them, and why learners underuse them. Paywalled; the free spacing guide above covers the practical side.
- Replication and Analysis of Ebbinghaus' Forgetting CurveJaap Murre & Joeri Dros · 2015 · Study · FreeA modern replication of the famous 1880s forgetting curve. Memory drops fast and then levels off, much as Ebbinghaus found, with a possible bump after a night's sleep. The reason review timing matters.
- Retrieval Practice: The Most Powerful Learning Strategy You're Not UsingJennifer Gonzalez, Cult of Pedagogy · 2017 · Blog · FreeA friendly explainer and interview with Pooja Agarwal on retrieval practice, with concrete activities such as brain dumps, think-pair-share and better flashcard habits. Notes that quizzes should be low-stakes and spaced.
- Getting the most out of revision by using the testing effectDurrington Research School · Blog · Free · TeensA UK school's practical post on using the testing effect for revision, built around the Roediger and Karpicke findings. Useful for families with teens preparing for exams.
- A conversation with Pooja Agarwal on retrieval practice and analogical thinkingThe Learning Agency · Article · FreeAn interview with the cognitive scientist behind RetrievalPractice.org about why recall strengthens memory and how comparing examples helps kids transfer ideas to new problems.
Difficulty, interleaving and cognitive load
- Desirable DifficultiesMariko Hewer, APS Observer · 2016 · Article · FreeExplains the Bjork lab's idea that some struggle during practice, such as spacing, mixing topics and self-testing, leads to better long-term learning even though it feels worse and looks worse in the moment.
- Desirable difficultyWikipedia · Article · FreeAn overview of the term coined by Robert Bjork in 1994, with the main techniques and an important caveat: a difficulty only helps if the learner has enough background to cope with it.
- What are desirable difficulties?Tes · Article · FreeA short explainer for teachers on desirable difficulties, covering spacing, interleaving, self-testing and generating answers before being told. Easy reading for parents curious about why harder practice can work better.
- Similarity Matters: A Meta-Analysis of Interleaved Learning and Its ModeratorsMatthias Brunmair & Tobias Richter · 2019 · Meta-analysis · PaidPools interleaving studies and finds mixing topics helps most when the things being mixed are easy to confuse, like similar paintings or math problem types, and helps little or even hurts for very different material.
- The benefit of interleaved mathematics practice is not limited to superficially similar kinds of problemsDoug Rohrer, Robert Dedrick & Kaleena Burgess · 2014 · Study · Free · Ages 8–12A classroom study with 7th graders: mixed homework sets roughly doubled scores on a surprise test weeks later compared with blocked sets of one problem type. Strong evidence for mixing up math practice.
- Interleaved Mathematics Practice: Giving Students a Chance to Learn What They Need to KnowDoug Rohrer, Robert Dedrick & Pooja Agarwal · Guide · Free · Ages 8–12A free guide from the lead researcher on interleaving explaining why mixing math problem types teaches kids to pick the right strategy, and how to build mixed review sets.
- Systematic Replication Study of Interleaved Mathematics PracticeUS Institute of Education Sciences · Study · Free · Ages 8–12A federally funded project testing whether interleaved math practice holds up across a larger, more varied set of schools. A sign that the field is checking its own headline findings.
- Interleaving: A Classroom ExperimentThe Learning Scientists · 2021 · Blog · FreeA short blog walk-through of a real classroom test of interleaving. Shows what mixing practice looks like in practice and why it can feel harder while working better.
- The Eighty Five Percent Rule for optimal learningWilson, Shenhav, Straccia & Cohen · 2019 · Study · FreeA mathematical analysis suggesting that, for a class of learning algorithms, training is fastest when learners succeed about 85 percent of the time. Often cited for adaptive difficulty; it is a model, not a classroom trial.
- ★Cognitive load theory: Research that teachers really need to understandNSW Centre for Education Statistics and Evaluation · 2017 · Review · FreeA clear government review of cognitive load theory: working memory is small, long-term memory is huge, and novices learn best from explicit teaching and worked examples, with independence growing as skill grows.
- Cognitive Load Theory: Advances in Research on Worked Examples, Animations, and Cognitive Load MeasurementTamara van Gog, Fred Paas & John Sweller · 2010 · Review · PaidAn introduction to a special issue by the founders of cognitive load theory, summarizing research on worked examples, animations and how to measure mental effort.
- Cognitive load theory: Teaching strategiesTeacher Magazine (ACER) · Article · FreeAn interview-style piece with John Sweller on the worked example effect and the expertise reversal effect: step-by-step examples help beginners, but the same help can get in the way once a child knows more.
- Why Minimal Guidance During Instruction Does Not WorkPaul Kirschner, John Sweller & Richard Clark · 2006 · Review · PaidAn influential and debated paper arguing that discovery-style teaching overloads beginners and that explicit, guided instruction works better for novices. Read alongside critics who defend inquiry learning with good scaffolding.
- Learning from Examples: Instructional Principles from the Worked Examples ResearchAtkinson, Derry, Renkl & Wortham · 2000 · Review · PaidA classic review of when studying solved examples helps: pair examples with practice problems, vary them, and ask learners to explain each step. Handy background for helping with math homework.
Feedback and formative assessment
- The Power of FeedbackJohn Hattie & Helen Timperley · 2007 · Review · FreeThe most-cited paper on feedback. Good feedback answers three questions: where am I going, how am I doing, and what next. Feedback about the task helps; praise aimed at the person helps little.
- The Effects of Feedback Interventions on Performance: A Historical Review, a Meta-Analysis, and a Preliminary Feedback Intervention TheoryAvraham Kluger & Angelo DeNisi · 1996 · Meta-analysis · FreeThe surprising classic: feedback helped on average, but over a third of feedback interventions made performance worse, especially when feedback drew attention to the self rather than the task.
- The Power of Feedback Revisited: A Meta-Analysis of Educational Feedback ResearchBenedikt Wisniewski, Klaus Zierer & John Hattie · 2020 · Meta-analysis · FreeAn updated, more careful meta-analysis of 435 studies. Feedback helps on average, but rich, informative feedback works far better than simple rewards or punishments, and effects vary a lot.
- Inside the Black Box: Raising Standards Through Classroom AssessmentPaul Black & Dylan Wiliam · 1998 · Article · FreeThe article that launched the formative assessment movement. Using ongoing checks of understanding to adjust teaching, and giving comments instead of grades, raised achievement, often most for struggling students.
- EEF launches comprehensive updates to ten strands of the Teaching and Learning ToolkitEducation Endowment Foundation · 2025 · Report · FreeThe UK's free Teaching and Learning Toolkit rates 30+ approaches, like feedback and metacognition, by months of progress, cost and strength of evidence. This page explains the 2025 move to yearly updates.
- Our Teaching and Learning Toolkit: what are the risks and how do we address them?Education Endowment Foundation · Blog · FreeThe EEF's own honest look at how its 'months of progress' numbers can be misread, and why an average effect does not guarantee results in a particular school or home.
- Visible LearningJohn Hattie / Corwin · Organization · Some freeHome of John Hattie's Visible Learning work, which ranks hundreds of influences on achievement by effect size, including its MetaX database. Widely used by schools and also sells training; see the critiques below.
- John Hattie is WrongRobert Slavin · 2018 · Blog · FreeA respected researcher argues that Visible Learning's averaging of many meta-analyses, without screening out weak studies, inflates effect sizes and makes rankings misleading. Essential balance before trusting a league table of teaching methods.
- How to Engage in Pseudoscience with Real Data: A Criticism of John Hattie's Arguments in Visible LearningPierre-Jerome Bergeron · 2017 · Article · FreeA statistician's sharp critique of the methods behind Visible Learning, arguing the effect sizes are combined in ways that do not hold up. Peer-reviewed and free to read.
Myths and debunkings
- ★Learning Styles: Concepts and EvidencePashler, McDaniel, Rohrer & Bjork · 2008 · Review · FreeThe definitive review on learning styles. There is no good evidence that matching teaching to a child's 'visual' or 'auditory' style improves learning; most studies never tested it properly.
- Daniel Willingham's Learning Styles FAQDaniel T. Willingham · Article · FreeA cognitive scientist answers the common questions about learning styles: why the theory feels true, why the evidence says no, and what differences between kids really matter.
- Ask the Cognitive Scientist: Do Visual, Auditory, and Kinesthetic Learners Need Visual, Auditory, and Kinesthetic Instruction?Daniel T. Willingham, American Educator · 2005 · Article · FreeExplains that memory mostly stores meaning, not sense format, so the best way to teach depends on the content, not the child's supposed style. Short and readable.
- The Learning Styles Myth is Thriving in Higher EducationPhilip M. Newton · 2015 · Study · FreeFound that 89 percent of recent research papers in higher education still endorsed learning styles, even though only one tested the idea and found no benefit. Shows how sticky the myth is.
- Neuromyths in Education: Prevalence and Predictors of Misconceptions among TeachersDekker, Lee, Howard-Jones & Jolles · 2012 · Study · FreeTeachers in the UK and Netherlands believed about half of common brain myths, including learning styles and left/right-brain dominance. More general brain knowledge did not protect against myths.
- An Evaluation of the Left-Brain vs. Right-Brain Hypothesis with Resting State Functional Connectivity Magnetic Resonance ImagingJared Nielsen et al., University of Utah · 2013 · Study · FreeBrain scans of over 1,000 people aged 7 to 29 found no evidence that people are 'left-brained' or 'right-brained' overall. Some functions are lateralized, but personality types are not.
- Researchers debunk myth of right-brain and left-brain personality traitsUniversity of Utah Health · 2013 · Article · FreeA plain-language news release on the University of Utah brain-scan study showing there is no whole-brain left or right dominance. Quick to read and share.
- GUEST POST: Exploring the Left Brain / Right Brain MythThe Learning Scientists · 2016 · Blog · FreeA guest post explaining where the left/right brain idea came from, what split-brain research actually showed, and why 'creative right brain' labels for kids do not hold up.
- Five Teaching and Learning Myths - DebunkedAdam Brown & Althea Need Kaminske · 2018 · Book · PaidA short book taking on five myths, including multitasking, learning styles and fear of testing, with what the evidence says and what to do instead.
- Do "Brain-Training" Programs Work?Daniel Simons et al. · 2016 · Review · FreeA major review of commercial brain-training games. Players get better at the games themselves, but there is little evidence that this spreads to everyday thinking or school skills. Worth reading before buying.
- Does Far Transfer Exist? Negative Evidence From Chess, Music, and Working Memory TrainingGiovanni Sala & Fernand Gobet · 2017 · Review · PaidSummarizes meta-analyses finding that chess, music lessons and memory training do not reliably make kids better at unrelated subjects like math or reading. Enjoy them for their own sake.
- Mozart effect-Shmozart effect: A meta-analysisPietschnig, Voracek & Formann · 2010 · Meta-analysis · Paid · Ages 0–5Pools about 40 studies on the idea that listening to Mozart boosts spatial ability. The effect is small, unreliable and partly due to publication bias. No reason to buy 'baby genius' music.
Sleep and memory
- About Sleep's Role in MemoryBjorn Rasch & Jan Born · 2013 · Review · FreeA long, free scientific review of how sleep helps lock in new memories, with deep sleep replaying and moving the day's learning into long-term storage. The go-to source behind 'sleep on it.'
- The sleeping child outplays the adult's capacity to convert implicit into explicit knowledgeWilhelm et al. · 2013 · Study · Paid · Ages 8–12Children who slept after learning a hidden pattern were more likely than adults to become consciously aware of it afterward, linked to their deep sleep. Suggests sleep does extra work for young learners.
- About SleepUS Centers for Disease Control and Prevention · Guide · FreeOfficial recommended sleep by age: 10 to 13 hours for preschoolers including naps, 9 to 12 for school-age kids and 8 to 10 for teens. A simple baseline before worrying about study tricks.
- Children and Sleep: Healthy Sleep Habits for KidsSleep Foundation · Guide · FreeA parent guide to sleep needs and routines by age, noting links between sleep, memory and vocabulary and that naps appear to help toddlers consolidate memories. Practical bedtime tips; not medical advice.
- Matthew Walker's "Why We Sleep" Is Riddled with Scientific and Factual ErrorsAlexey Guzey · 2019 · Blog · FreeA detailed critique of the best-selling sleep book, checking its claims against the cited studies. A useful reminder that sleep matters for learning but popular books can overstate the science.
Adaptive learning models
- Knowledge tracing: Modeling the acquisition of procedural knowledgeAlbert Corbett & John Anderson · 1995 · Study · PaidThe paper that introduced Bayesian Knowledge Tracing, the method many tutoring systems use to estimate whether a student has mastered a skill from right and wrong answers. Paywalled; often cited as 1994.
- Bayesian knowledge tracingWikipedia · Article · FreeA clear overview of BKT: four numbers per skill (already known, learn, slip, guess) are updated after each answer to estimate mastery. The simplest way to see how an adaptive app decides a child is ready to move on.
- Deep Knowledge TracingPiech et al., Stanford & Google · 2015 · Study · FreeUsed recurrent neural networks to predict how students will answer next, without hand-labeled skills. Sparked a wave of deep learning models for adaptive learning; later work questioned how big the gains were.
- How deep is knowledge tracing?Mohammad Khajah, Robert Lindsey & Michael Mozer · 2016 · Study · FreeA reply to Deep Knowledge Tracing showing that simple, extended versions of Bayesian Knowledge Tracing match the neural network. A good example of science checking hype about AI in education.
- When is Deep Learning the Best Approach to Knowledge Tracing?Gervet, Koedinger, Schneider & Mitchell · 2020 · Study · FreeCompared model types on nine real datasets. Well-built logistic regression often wins on moderate data; deep models win on very large data; classic BKT lagged. There is no single best student model.
- Knowledge Tracing: A SurveyAbdelrahman, Wang & Nunes · 2022 · Review · FreeA technical survey of knowledge tracing methods from early Bayesian models to modern deep learning, with benchmark datasets and open problems. For readers who want the full landscape.
- pyBKTPardos et al., UC Berkeley CAHLR · Tool · FreeA free, open-source Python library for Bayesian Knowledge Tracing and its variants. Lets curious technical parents or researchers try the same mastery estimates used inside tutoring systems.
- Item Response Theory (IRT)Columbia University Mailman School of Public Health · Article · FreeA plain explainer of item response theory, the math behind adaptive tests: each question has a difficulty, each learner an ability, and the test picks questions that pin down ability fastest.
- Item response theoryWikipedia · Article · FreeA detailed reference on IRT models (one, two and three parameter) and computerized adaptive testing. Helps explain how school tests like MAP or state tests adjust to each child.
- Knowledge Space Theory (Research Behind ALEKS)ALEKS / McGraw Hill · Article · FreeExplains the theory behind ALEKS, an adaptive math product: a subject is mapped into many possible knowledge states, and about 25 to 30 questions locate what a student knows and is ready to learn. Written by the vendor.
- A Trainable Spaced Repetition Model for Language LearningBurr Settles & Brendan Meeder, Duolingo · 2016 · Study · FreeDuolingo's half-life regression paper: a model that estimates how long each word stays in a learner's memory and schedules review before it fades. Industry research with open data and code.
- How we learn how you learnBurr Settles, Duolingo · 2016 · Blog · FreeDuolingo explains in plain language how its half-life regression model predicts forgetting and when to review, compared with Leitner boxes and fixed schedules. Company blog, so it reports its own A/B tests.
- Learning how to help you learn: Introducing Birdbrain!Klinton Bicknell & Claire Brust, Duolingo · 2020 · Blog · FreeHow Duolingo's Birdbrain model estimates each learner's ability and each exercise's difficulty (an IRT-like idea) to build lessons at the right challenge level. Written by the company about its own product.
- Duolingo ResearchDuolingo · Organization · FreeDuolingo's research hub, listing papers and public datasets on spaced repetition, second language modeling and adaptive testing. One of the few edtech companies to publish this much of its method.
- Improving Students' Long-Term Knowledge Retention Through Personalized ReviewLindsey, Shroyer, Pashler & Mozer · 2014 · Study · Paid · TeensIn a semester-long middle school Spanish class, software that personalized which items to review and when improved end-of-course retention compared with standard review. Early classroom proof for adaptive spacing.
- Enhancing human learning via spaced repetition optimizationTabibian et al. · 2019 · Study · FreeUses control theory and Duolingo data to compute review schedules that maximize recall with fewer reviews. A technical look at how apps could time practice better.
Spaced repetition tools and memory systems
- AnkiDamien Elmes and contributors · App · Free + paid · TeensThe popular free, open-source flashcard program that schedules reviews based on how well you know each card. Free on desktop, Android and web; the iPhone app is paid and funds development. Best for older kids and teens.
- ABC of FSRSOpen Spaced Repetition (Jarrett Ye et al.) · Guide · FreeA plain introduction to FSRS, a free, open-source scheduling algorithm now built into Anki. It models how stable each memory is and how likely you are to recall it, to schedule fewer, better-timed reviews.
- SRS BenchmarkOpen Spaced Repetition · Data · FreeAn open benchmark comparing how well spaced repetition algorithms (FSRS, SM-2, neural models and more) predict recall, using review data from about 10,000 Anki users. Rare public evidence for comparing schedulers.
- The true history of spaced repetitionPiotr Wozniak, SuperMemo · 2018 · Article · FreeThe creator of SuperMemo tells how he built the first computer spaced repetition program in the 1980s and its algorithms. A first-person account published by his own company, so weigh its claims of credit.
- Effective Learning: Twenty Rules of Formulating KnowledgePiotr Wozniak · 1999 · Article · FreeClassic advice on writing flashcards that stick: understand before you memorize, keep each card tiny, use cloze deletions and pictures, and avoid long lists. Still the best guide to making cards.
- Spaced Repetition for Efficient LearningGwern Branwen · 2009 · Article · FreeA long, heavily referenced essay on the spacing and testing effects and the software that uses them, from Ebbinghaus to medical school studies. Deep reading for the curious; mostly about adults.
- Augmenting Long-term MemoryMichael Nielsen · 2018 · Article · FreeA physicist describes using Anki to learn new research fields and argues memory underpins understanding. Practical advice on atomic questions and making your own cards.
- How can we develop transformative tools for thought?Andy Matuschak & Michael Nielsen · 2019 · Article · FreeAn essay on the 'mnemonic medium': reading material with built-in spaced review questions, tested on Quantum Country. Also explains why the tech industry underinvests in learning tools.
- Quantum CountryAndy Matuschak & Michael Nielsen · 2019 · Course · Free · TeensA free introduction to quantum computing with spaced review questions built into the text, so readers remember what they read. A working example of the mnemonic medium; for teens and adults.
- How to write good prompts: using spaced repetition to create understandingAndy Matuschak · 2020 · Guide · FreeA practical guide to writing flashcard prompts that build understanding, not just facts: focused, precise, consistent and effortful. Uses a cooking example; good for parents making cards with older kids.
- ★How To Remember Anything Forever-ishNicky Case · 2018 · Game · Free · Ages 8–12A free interactive comic that teaches the forgetting curve and spaced repetition, then helps you build a paper Leitner box. Playful enough to explore together with a 9 to 12 year old.
Mastery, tutoring and games
- The 2 Sigma Problem: The Search for Methods of Group Instruction as Effective as One-to-One TutoringBenjamin S. Bloom · 1984 · Article · FreeBloom reported that tutored students using mastery learning did two standard deviations better than classroom peers, and challenged educators to match it. The most quoted number in edtech; see the review below.
- On Bloom's two sigma problem: A systematic review of the effectiveness of mastery learning, tutoring, and direct instructionJose Luis Ricon · 2019 · Review · FreeAn independent blog review concluding Bloom's two-sigma result is mostly an outlier. Tutoring and mastery learning help a lot, typically far less than two sigma, and mastery gains show up more on teacher-made tests.
- Bloom's Two-Sigma ProblemJustin Skycak · 2024 · Blog · FreeArgues that Bloom's search failed because teachers could not personalize by hand, and that software now can. The author builds an adaptive math platform (Math Academy), so read it as an informed advocate.
- Effectiveness of Mastery Learning Programs: A Meta-AnalysisKulik, Kulik & Bangert-Drowns · 1990 · Meta-analysis · PaidThe standard meta-analysis of mastery learning (do not move on until a unit is learned). Found positive effects, larger for weaker students and on teacher-made tests than on standardized ones.
- Let's teach for mastery - not test scoresSal Khan, TED · 2015 · Video · FreeKhan Academy's founder argues that moving kids on before they master basics is like building a house on a cracked foundation. A short, persuasive case for self-paced mastery; he runs a learning platform.
- Zone of Proximal DevelopmentSaul McLeod, Simply Psychology · 2022 · Article · FreeExplains Vygotsky's zone of proximal development, the sweet spot between what a child can do alone and with help, and scaffolding that is gradually removed. The idea behind 'just right' difficulty in adaptive apps.
- ★Digital Games, Design, and Learning: A Systematic Review and Meta-AnalysisDouglas Clark, Emily Tanner-Smith & Stephen Killingsworth · 2016 · Meta-analysis · FreeLearning games beat non-game teaching by a modest margin (about a third of a standard deviation). Multiple play sessions mattered, and design features like scaffolding mattered as much as using a game at all.
- The Gamification of Learning: a Meta-analysisMichael Sailer & Lisa Homner · 2020 · Meta-analysis · FreeAdding game elements like points, badges and stories to learning gave small-to-medium gains in learning, motivation and behavior on average, with more solid evidence for learning outcomes. Open access.
- A meta-analysis of the cognitive and motivational effects of serious gamesWouters, van Nimwegen, van Oostendorp & van der Spek · 2013 · Meta-analysis · PaidSerious games beat conventional teaching for learning and retention, but were not more motivating on average. Games worked better when played over several sessions and combined with other teaching.
Home guides, podcasts and communities
- ★Encouraging Effective Learning Strategies: Tips for ParentsYana Weinstein, The Learning Scientists · 2017 · Blog · FreeConcrete home advice from a cognitive psychologist: spread test prep over days, quiz from notes, ask kids to tell you about their day, keep rewards small, and model your own learning.
- Benefits of Spaced Practice: Simple Recommendations for ParentsMegan Sumeracki & Yana Weinstein, The Learning Scientists · 2016 · Blog · FreeFour simple ways to build spacing at home: plan a study routine, ask what was learned today, connect new lessons to old ones, and protect sleep instead of cramming.
- How to do Homework: Simple Recommendations for ParentsYana Weinstein, The Learning Scientists · 2016 · Blog · Free · Ages 5–8Treat homework as practice, not a performance: aim for a real attempt, focus feedback on the content of mistakes, and use roughly 10 minutes per grade per night as a guide.
- The Learning Scientists PodcastThe Learning Scientists · Podcast · FreeCognitive psychologists talk through research on studying, memory, motivation and teaching in short episodes. Accessible for parents; some episodes are aimed at educators.
- Education Research Reading Room (ERRR) PodcastOllie Lovell · Podcast · FreeLong-form interviews with leading education researchers and teachers, from Dylan Wiliam to Doug Lemov, on cognitive load, feedback, reading and more. Deep, practical, and aimed at teachers.
- researchEDresearchED · Community · Some freeA grassroots, low-cost conference network where teachers, researchers and policymakers meet to share evidence and bust myths. Events run in many countries; talks are often posted online.
- Learning How to LearnBarbara Oakley & Terrence Sejnowski · Course · Free + paid · TeensOne of the most popular online courses ever, with over 4 million enrollments. Covers focused versus diffuse thinking, chunking, procrastination and illusions of competence. Free to audit; certificate costs extra. Good for teens.
- Learning How to Learn: How to Succeed in School Without Spending All Your Time Studying; A Guide for Kids and TeensBarbara Oakley, Terrence Sejnowski & Alistair McConville · 2018 · Book · Paid · Ages 8–12A kid-friendly book version of the famous course, with illustrations and exercises on focus, memory, procrastination and testing yourself. Written for roughly ages 10 and up.
- Ace That Test: A Student's Guide to Learning BetterThe Learning Scientists · 2023 · Book · Paid · TeensAn illustrated study guide written straight to students, offering research-backed alternatives to cramming, highlighting and rereading: planning, retrieval practice, dual coding and better note-taking. Best for teens.
- Powerful Teaching: Unleash the Science of LearningPooja K. Agarwal & Patrice M. Bain · 2019 · Book · PaidA cognitive scientist and a veteran middle school teacher show how to use four 'power tools': retrieval practice, spacing, interleaving and feedback-driven metacognition, with low-prep classroom examples.