Spaced Repetition: How It Works, Plus a Schedule Calculator

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Spaced repetition is a way of studying in which you review what you have learned several times, leaving a longer gap before each review. Each review makes you recall the material from memory before it has faded, and after each one it fades more slowly.

The forgetting curve, with and without reviewTwo lines start at the top on the day something is learned. The line with no reviews falls steeply over the first days and then levels off near the bottom. The line with reviews on days 1, 3, 7, 14 and 30 jumps back to the top at each review and falls more slowly after each one, so by day 30 it barely drops between reviews.13714300Days after learning (reviews on the dotted lines)How much you rememberNo reviewsReviewed on the schedule

A sketch of the idea, not measured data. Without review, new material fades fast and then levels off. Each review brings it back, and it fades more slowly after each one.

A simple schedule to start with is to review something on the day you learn it, then 1, 3, 7, 14, 30 and 90 days later. Enter what you learned below to turn that schedule into dates you can copy into a calendar or a planner.

Spaced Repetition Schedule Calculator

Enter what you learned and the day you learned it to get your review dates.

Your review dates
WhenDate
Same dayChoose a day
1 day laterChoose a day
3 days laterChoose a day
7 days laterChoose a day
14 days laterChoose a day
30 days laterChoose a day
90 days laterChoose a day

Why Spaced Repetition Works

Three findings from memory research explain why a few well-timed reviews beat many hours of rereading.

The forgetting curve

In experiments he published in 1885, the German psychologist Hermann Ebbinghaus memorized lists of nonsense syllables and measured how much of each list he had kept after delays from twenty minutes to a month. He found that most of the forgetting happened soon after learning, and that the rest of the list faded much more slowly after that. In 2015, Jaap Murre and Joeri Dros repeated his experiment and found a curve of the same shape. The exact amounts depend on the material, the person and how memory is tested, so the drawing above shows only the shape.

The spacing effect

Ebbinghaus also noticed that repetitions spread over several days fixed a list in his memory better than the same number of repetitions on a single day. That is the spacing effect, and later research has confirmed it many times. A 2006 review of hundreds of experiments found that spaced study led to better long-term memory than massed study, which is the same amount of study crammed into one session. A large study in 2008 found that the best gap before a review grows with how long you need to remember something. A gap of a day or two suits a test next week, while material you want to keep for a year is better reviewed weeks apart.

The testing effect

A review works best when it is a test. Trying to recall an answer strengthens a memory more than reading the answer again. In a 2006 study, students who read a passage once and then tried to write down what they remembered recalled more of it a week later than students who spent the same time rereading it, although the rereaders did better on a test five minutes later. That is why spaced repetition uses flashcards and questions, and why it goes so well with active recall. A 2013 review of ten common study techniques rated spaced practice and practice testing as the two most useful.

Spaced Repetition Schedules Compared

Every schedule leaves longer gaps as you go, but they differ in how fast the gaps grow and in what they were designed for.

ScheduleWhen you reviewDesigned for
The schedule on this pageThe same day, then 1, 3, 7, 14, 30 and 90 days laterA starting point for most material
Dominic O’Brien’s five reviewsStraight after learning, then after 24 hours, a week, a month and three monthsMost kinds of material
Paul Pimsleur’s graduated intervalsA first recall a few seconds after learning, then each gap about five times the last (5 seconds, 25 seconds, about 2 minutes, about 10 minutes and so on), so the tenth recall comes about four months after the firstLanguage learning
Leitner boxesSet by the section of the box a card is in, so cards you know are reviewed less oftenPaper flashcards

The schedule on this page and O’Brien’s five reviews are both expanding schedules, with gaps set in advance. Pimsleur described his schedule in 1967 as an example for language teachers, and said no single schedule suits every word. Its first reviews come within minutes of each other. In a Leitner box, and in most flashcard apps, each card gets its own schedule from your answers, so the cards you find easy drop out of sight while the hard ones keep coming back.

The research on the spacing effect does not point to one perfect schedule, so treat any of these as a starting point. If you keep forgetting an item before its next review, shorten its gaps. If every review feels easy, you can stretch them.

Doing It on Paper With a Leitner Box

Sebastian Leitner described a box for paper flashcards in his 1972 book So lernt man lernen (“How to learn to learn”). You don’t need a special box. Five envelopes or a shoebox with four dividers will do. Here is one way to set it up.

  1. Label five sections 1 to 5. Decide how often you will study each one: section 1 every day, section 2 every two days, section 3 every four days, section 4 once a week and section 5 once every two weeks.
  2. Write each new fact on a card, with a question on the front and the answer on the back, and put it in section 1.
  3. On each study day, go through the sections that are due. Read the question, say or write the answer, and then turn the card over.
  4. If you got it right, move the card up one section. If you got it wrong, move it back to section 1, however far along it was.
  5. When a card in section 5 is right again, take it out of the box and keep it in a pile for an occasional check.

Cards you know well climb quickly and stop taking up your time, while the difficult ones stay in section 1 until they stick. Small cards make the habit easier to keep, because you can carry a day’s worth in a pocket. See mini flash cards for one way to make them.

Making Cards From What You Read

Much of what is worth remembering turns up while you are reading, in an article, a textbook or a page of data. A few habits make it easy to turn that reading into cards.

  • Write one fact per card. A card that asks for five things is hard to grade, and you will keep missing the same one of the five.
  • Phrase the front as a question you could be asked, such as “In what year did the Battle of Hastings take place?”, rather than a heading like “Hastings”.
  • When a page has a table, such as a list of capitals, dates or chemical symbols, you can turn it into cards without typing it out. Copy the table into a spreadsheet, keep two columns for the front and the back of each card, and save the sheet as a CSV file. Many flashcard apps can import a file like that as a whole deck.
  • Add only what you understand. A card you have memorized without understanding is harder to recall and easy to confuse with its neighbors.

Collecting vocabulary while you read

Reading in a language you are learning is one of the best sources of new words. Keep a running list with three columns: the word, the sentence you found it in, and its meaning. The sentence reminds you how the word is used, and it makes a better card than the word alone.

Some spreadsheet programs can translate a whole column of words for you, which saves time on a long list. Check each translation before you study it, since a word on its own can have several meanings and a machine will not know which one your sentence used. Then review the list on a schedule like the one above. To make the words stick from the first review, give each one a mnemonic, as described in how to memorize vocabulary words.

Spaced Repetition and Memory Palaces

A memory palace stores information as images placed along a route through a place you know well. Reviewing a palace means walking through it in your mind, from the first location to the last, and recalling the image at each one. That walk is a recall test, so it gains from spacing as much as a stack of flashcards does.

Use the schedule above for each new palace. Walk it on the day you build it, then again after a day, three days, a week and so on. When an image is faint or missing, make it stranger or more vivid on the spot, and give that location an extra look on the next walk. After a few walks, most palaces can be left for weeks.

We offer software that combines spaced repetition scheduling and memory palaces. You can create memory palaces, add facts, and then review them using spaced repetition.

Paper flash cards on index cards

Common Mistakes

  • Cramming the reviews. Three reviews in one evening do not take the place of reviews on three different days. The gaps are what make the reviews work, so spread them out even when you have time to do more.
  • Rereading instead of recalling. Look at the question, answer it from memory, and only then check. Reading the answer first feels productive, but it skips the part that strengthens the memory.
  • Adding too many new cards. Every new item brings seven reviews, and six of them fall in the following three months. If you add 20 new items every day on the schedule here, by the end of the first month you will have about 100 reviews due each day on top of the new cards. Start small and add more once the daily reviews feel easy.
  • Making cards too big. A long answer is hard to recall in one go and hard to grade honestly. Split it into several cards.
  • Giving up after a missed day. A late review is still a review. Catch up as soon as you can rather than starting over.

Frequently Asked Questions

What is spaced repetition?

Spaced repetition is a way of studying in which you review what you have learned several times, with a longer gap before each review. Each review is a chance to recall the material from memory, and spreading the reviews out helps you keep it for much longer than studying it the same number of times in one sitting.

What is the best spaced repetition schedule?

No single schedule is best for everyone and everything. Research suggests that the longer you need to remember something, the longer the gaps between reviews should be. A good place to start is to review the same day, then 1, 3, 7, 14, 30 and 90 days later, which the schedule calculator on this page turns into dates.

How many times should you review something?

With the schedule on this page, you review a new item seven times over three months, including once on the day you learn it. After that, an occasional review keeps it fresh. Material you find hard may need more reviews, and material you use every day may need fewer.

Does spaced repetition really work?

Yes. The spacing effect is one of the most often repeated findings in the study of memory. A 2013 review of ten common study techniques rated spaced practice and practice testing as the two most useful, because they helped learners of different ages with many kinds of material.

Can you do spaced repetition without an app?

Yes. A box of paper flashcards divided into sections, known as a Leitner box, does the scheduling for you, and a paper calendar or planner works for anything that is not on cards. See mini flash cards for a small paper format that is easy to carry.

What happens if you miss a review?

Do the review as soon as you can and carry on from there. A late review takes a little more effort, because you will have forgotten more, but there is no need to start the schedule again. If you forgot the item completely, treat it as new.

Sources

  • 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, 132(3), 354–380.
  • Cepeda, N. J., Vul, E., Rohrer, D., Wixted, J. T., & Pashler, H. (2008). Spacing effects in learning: A temporal ridgeline of optimal retention. Psychological Science, 19(11), 1095–1102.
  • Dunlosky, J., Rawson, K. A., Marsh, E. J., Nathan, M. J., & Willingham, D. T. (2013). Improving students’ learning with effective learning techniques: Promising directions from cognitive and educational psychology. Psychological Science in the Public Interest, 14(1), 4–58.
  • Ebbinghaus, H. (1885). Ăśber das Gedächtnis. Duncker & Humblot. Translated by H. A. Ruger and C. E. Bussenius as Memory: A Contribution to Experimental Psychology (1913).
  • Leitner, S. (1972). So lernt man lernen. Herder.
  • Murre, J. M. J., & Dros, J. (2015). Replication and analysis of Ebbinghaus’ forgetting curve. PLoS ONE, 10(7), e0120644.
  • O’Brien, D. (2005). How to Develop a Brilliant Memory Week by Week. Duncan Baird.
  • O’Brien, D. (2014, May 20). Every child can win the memory game. Edutopia.
  • Pimsleur, P. (1967). A memory schedule. The Modern Language Journal, 51(2), 73–75.
  • Roediger, H. L., & Karpicke, J. D. (2006). Test-enhanced learning: Taking memory tests improves long-term retention. Psychological Science, 17(3), 249–255.

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