Processing Speed
Enumeration Task
Also called: subitizing task, visual enumeration task, numerosity naming task, subitizing range, span of apprehension
Measure subitizing: how many dots people take in at a glance, from how their answer times rise as 1 to 9 briefly shown dots grow in number.
5-6 minTimed: desktop or laptop with a mouse or trackpad
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- Papers, 2021 to 2025
- 46
- Evidence grade
- D
- Registered clinical studies
- 0
What it measures
A measure of subitizing: taking in a few items at a glance. One to nine dots flash for 200 ms, and participants press the number key for how many there were. Answer times rise slowly up to about four dots and steeply after. The score is the subitizing span, the number of dots at which that rise turns, fitted to each person's answer times.
Constructs
- Subitizing
- Visual enumeration
- Counting speed
Research uses
- Dyscalculia and math learning research
- Numerical cognition research
- Development and aging research
How the paradigm works
The Enumeration Task measures subitizing: the fast and nearly error-free naming of how many items there are when there are only a few, which Kaufman, Lord, Reese and Volkmann (1949) named. Up to about four items, each added item lengthens the answer by only 40 to 100 ms; beyond that, counting adds 250 to 350 ms per item (Trick and Pylyshyn, 1994). How many items a person takes in at a glance, the subitizing span, differs between people and has been studied in mathematics learning and its difficulties (Gliksman and Henik, 2019).
More about the paradigm
On each trial a cross shows in an empty circle for 500 ms, then 1 to 9 white dots appear in the circle for 200 ms, the display time of Kaufman and colleagues (1949) and Gliksman and Henik (2019), then the empty circle and the question until the participant presses the number key for how many dots there were, with no time limit. The dots are placed at random, never in a set pattern. On half the trials every array has the same mean dot size, so more dots cover more area; on the other half every array has the same total dot area, so more dots are smaller. Each number appears 16 times (standard; 10 to 20), for 144 trials in a seeded order after 9 practice trials with feedback, about 5 minutes. Every display time and dot layout is set before the session. Displays switch on screen frames, the measured times are saved on every trial, and trials more than one frame off plan leave the scores. Desktop and laptop only.
The main score is the subitizing span, computed as Leibovich-Raveh and colleagues (2018) describe: a logistic curve is fitted to the median answer times at 1 to 8 dots, and the span is where the tangent at its steepest point meets a flat line at the curve's starting height; higher means more dots taken in at a glance. The answer-time slopes from 1 to 4 dots and from 5 to 8 dots, accuracy at each number, and the size and spread of the dots on every trial are also reported. Most studies record spoken answers; here answers are typed on number keys, so finding a key adds to each answer time. Scores support research and do not diagnose.
Scores
- Subitizing Spanitems
- Where the tangent at the steepest point of a logistic curve fitted to the median answer times at 1 to 8 dots meets a flat line at the curve's starting height (Leibovich-Raveh and colleagues, 2018).
- Higher is better; more dots taken in at a glance
- Span Fit%
- Share of the spread in the median answer times at 1 to 8 dots that the fitted curve explains.
- Under 0.7 is flagged for review
- Subitizing Slopems/item
- Least-squares slope of the median answer time on the number of dots, from 1 to 4 dots.
- Lower means each added dot took less time
- Counting Slopems/item
- Least-squares slope of the median answer time on the number of dots, from 5 to 8 dots.
- Informational; steeper than the subitizing slope
- Accuracy%
- Share of scored trials answered with the right number, over all nine numbers.
- Higher is better
- Accuracy with 1 to 4 Dots%
- Share right with 1 to 4 dots.
- Under 50% is invalid and under 85% is flagged for review
- Accuracy with 5 to 8 Dots%
- Share right with 5 to 8 dots.
- Higher is better
- Accuracy by Number%
- Share right at each number of dots, keyed 1 to 9.
- Falls as the number grows past the span
- Median Answer Time by Numberms
- Median time from the dots' onset to the answer at each number of dots, keyed 1 to 9, over right and wrong answers.
- Rises slowly up to the span and steeply after
- Anticipationscount
- Answers under 100 ms from the question, which are not scored.
- Lower is better
- Early Key Pressescount
- Number keys pressed while the dots showed, which are not taken as answers.
- Informational
- Frame Intervalms
- Median time between screen frames during the trials.
- About 16.7 on a 60 Hz screen
- Refresh RateHz
- Screen refresh rate from the frame interval.
- Informational
- Displays on Time%
- Share of answered trials whose dots showed within one frame of 200 ms; only these are scored.
- Under 0.9 is flagged for review
- Completed Trialstrials
- Trials answered in the scored run.
- Fewer than planned is flagged for review
- Planned Trialstrials
- Trials the run set out to show.
- Informational
Use and evidence
46 papers from 2021 to 2025 name this task in their title or abstract, down 21% compared with 2016 to 2020. That ranks it 261 of 395 test families in our census. See the counts for every test.
Show the numbers
| Year | Papers |
|---|---|
| 2025 | 10 |
| 2024 | 6 |
| 2023 | 9 |
| 2022 | 9 |
| 2021 | 12 |
| 2020 | 13 |
| 2019 | 13 |
| 2018 | 15 |
| 2017 | 5 |
| 2016 | 12 |
| 2015 | 12 |
| 2014 | 12 |
| 2013 | 13 |
| 2012 | 7 |
| 2011 | 8 |
| 2010 | 16 |
| 2009 | 3 |
| 2008 | 4 |
| 2007 | 4 |
| 2006 | 3 |
| 2005 | 2 |
| 2004 | 3 |
| 2003 | 3 |
| 2002 | 1 |
| 2001 | 4 |
| 2000 | 1 |
Use grade D
30 to 99 papers from 2021 to 2025.
Evidence grade D
Little published measurement evidence found.
- Papers on test-retest reliability
- 0
- Papers on reliability or validity
- 1
- Registered clinical studies using it as an outcome
- 0
How the grades work
Use: A is 1,000 or more papers from 2021 to 2025, B 300 to 999, C 100 to 299, D 30 to 99 and E fewer than 30. Evidence: A means at least 25 papers report its test-retest reliability and at least 25 registered clinical studies use it as an outcome; B, at least 8 test-retest papers, and either 5 registered clinical studies or 150 reliability or validity papers; C, at least 2 test-retest papers, 30 reliability or validity papers or 3 registered clinical studies; D, little published measurement evidence found. The counts measure use. They include every paper that names the task in its title or abstract. Grades describe the published research on this task, not ConductCognition's version of it.
Source: ConductCognition test census 0.14.0, counted 31 October 2026 from OpenAlex and ClinicalTrials.gov.
Task design
The trial sequence as the test runs in ConductCognition.
- Display
- On a dark panel, one circle 120 px in radius: a cross in it for 500 ms, then 1 to 9 white dots for 200 ms, then the empty circle and the question.
- Answer
- Press the number key for how many dots there were, from 1 to 9, with no time limit. Number keys pressed while the dots show are counted and not taken as answers.
- Dots
- Placed at random, at least 4 px apart, never in a set pattern. On half the trials every array has the mean dot size of a 16 px dot; on the other half the total area of 4 such dots. Each dot's diameter varies by up to 20% around its array's mean.
- Trials
- 16 at each number (standard; 10 to 20): 144 trials in a seeded order, each size control on half the trials at every number.
- Practice
- 9 trials, each number once, with feedback for 1,000 ms.
- Fixed times
- Every display time and dot layout is set before the session, and no answer changes it.
- Score
- The subitizing span: a logistic curve is fitted to the median answer times at 1 to 8 dots, timed from the dots' onset, and the span is where the tangent at its steepest point meets a flat line at the curve's starting height. Trials whose dots ran more than one frame off plan, and answers under 100 ms, leave the scores.
Most enumeration studies record spoken answers. Here answers are typed on number keys, so finding a key adds to each answer time. The dot arrays are drawn by our code, and each display's mean dot size, total area, convex hull and total circumference are saved.
Quality checks
Each session is marked valid, needs review or invalid, with the reason, before you see its scores.
Scored rows: subitizing_test from the scored run, a number key from 1 to 9 after the dots, with no time limit (chance 1 in 9; each number is shown equally often), graded from the saved number of dots. Below chance invalidates and not above chance is flagged; one key on 90% of answers invalidates when accuracy is not above chance. Answer times run from the question. Responses under 100 ms follow the timed-test rule. Under 50% right with 1 to 4 dots invalidates and under 85% is flagged. No fitted span, a fit explaining under 70% of the answer times' spread, a run short of its planned trials, or fewer than 90% of dot displays within one frame of plan is flagged for review.
Why these rules
Accuracy significantly below chance (one-sided exact test, p < .05) cannot come from guessing; it means the response mapping was reversed or the task was not followed (Slick, Sherman and Iverson 1999 treat below-chance forced-choice performance as definite response bias). Chance-level accuracy can be a real result in impaired participants, so it is only flagged. One option on at least 90% of answered trials, when the correct options are balanced and accuracy is not above chance, means the answers did not depend on the items (the task counterpart of long-string responding in surveys; Curran 2016). An answer under 100 ms from the question was pressed before the question could be read. Adults name 1 to 4 dots almost without error (Revkin and colleagues, 2008), so errors there mean the dots could not be seen or the task was not followed. The span comes from a curve fitted to the answer times, so a poor fit is flagged, as Leibovich-Raveh and colleagues (2018) set aside fits under 0.7. The display time is part of the design, so trials whose dots ran late leave the scores.
Running this test
Settings you can change
| Setting | Standard | Allowed |
|---|---|---|
| Trials at each number of dots | 16 | 10 to 20 |
Yearly plans can change settings within these limits. Free and pay-as-you-go studies use the standard settings.
Need a setting this test does not have?
Devices and languages
- Timed test: participants need a desktop or laptop with a mouse or trackpad. Participant devices
- Languages: English, Spanish, French, German, Italian, Portuguese (Brazil), Chinese (Simplified) and Japanese.
- Available on: Every plan, including the free plan.
- Recruiting online? See the setup guides for Prolific, Sona Systems, CloudResearch Connect and Qualtrics.
Cite and describe
Participants completed the Enumeration Task in a web browser (ConductCognition task version 1.0.0, scoring version 1.0.0; Kaufman, Lord, Reese and Volkmann, 1949; Trick and Pylyshyn, 1994), with the standard settings (trials at each number of dots: 16). The main score was subitizing span (where the tangent at the steepest point of a logistic curve fitted to the median answer times at 1 to 8 dots meets a flat line at the curve's starting height (Leibovich-Raveh and colleagues, 2018)).
ConductCognition versions: task version 1.0.0, scoring version 1.0.0. Every export records the versions each session used, for a methods section.
- Kaufman, E. L., Lord, M. W., Reese, T. W., & Volkmann, J. (1949). The discrimination of visual number. The American Journal of Psychology, 62(4), 498-525. https://doi.org/10.2307/1418556The term subitizing, for small numbers of dots shown for 200 ms.
- Trick, L. M., & Pylyshyn, Z. W. (1994). Why are small and large numbers enumerated differently? A limited-capacity preattentive stage in vision. Psychological Review, 101(1), 80-102. https://doi.org/10.1037/0033-295X.101.1.80Answer times that rise by 40 to 100 ms per item up to four items and by 250 to 350 ms per item beyond.
- Gliksman, Y., & Henik, A. (2019). Enumeration and alertness in developmental dyscalculia. Journal of Cognition, 2(1), 5. https://doi.org/10.5334/joc.551 to 9 dots shown for 200 ms, with the subitizing range from 1 to 4 and the counting range analyzed from 5 to 8.
- Revkin, S. K., Piazza, M., Izard, V., Cohen, L., & Dehaene, S. (2008). Does subitizing reflect numerical estimation? Psychological Science, 19(6), 607-614. https://doi.org/10.1111/j.1467-9280.2008.02130.xNear-errorless naming of 1 to 4 dots, and each person's range from a sigmoid fitted to the answer times, with the largest number left out.
- Leibovich-Raveh, T., Lewis, D. J., Al-Rubaiey Kadhim, S., & Ansari, D. (2018). A new method for calculating individual subitizing ranges. Journal of Numerical Cognition, 4(2), 429-447. https://doi.org/10.5964/jnc.v4i2.74The span where the tangent at the inflection of a fitted logistic meets a flat line, and the fit criterion of 0.7.
- Gebuis, T., & Reynvoet, B. (2011). Generating nonsymbolic number stimuli. Behavior Research Methods, 43(4), 981-986. https://doi.org/10.3758/s13428-011-0097-5Saving the visual properties that change with number on every display.
Source papers
- Leibovich-Raveh T, Lewis DJ, Al-Rubaiey Kadhim S, Ansari D (2018). A new method for calculating individual subitizing ranges. Journal of Numerical Cognition, 4(2):429-447.Paradigm source, Adults and children 4 to 9 years
Questions
How long does the Enumeration Task take?
About 5 to 6 minutes, as listed in the test library.
What device does a participant need?
Timed test: participants need a desktop or laptop with a mouse or trackpad. The browser must be Chrome, Edge, Firefox or Safari.
What scores does it produce?
Subitizing Span, Span Fit, Subitizing Slope, Counting Slope, Accuracy, Accuracy with 1 to 4 Dots, Accuracy with 5 to 8 Dots, Accuracy by Number, Median Answer Time by Number, Anticipations, Early Key Presses, Frame Interval, Refresh Rate, Displays on Time, Completed Trials and Planned Trials. Each session is also marked valid, needs review or invalid, with the reason.
How widely is the Enumeration Task used in research?
46 papers from 2021 to 2025 name it in their title or abstract, down 21% compared with 2016 to 2020. That ranks it 261 of 395 test families in the ConductCognition test census (use grade D). Source: ConductCognition test census 0.14.0, counted 31 October 2026 from OpenAlex and ClinicalTrials.gov.
How much reliability evidence does the Enumeration Task have?
In the published research, 0 papers report its test-retest reliability and 0 registered clinical studies use it as an outcome (evidence grade D in the ConductCognition test census).
Which settings can a researcher change?
Trials at each number of dots (10 to 20). Settings can be changed on yearly plans; free and pay-as-you-go studies use the standard settings.
Which languages can participants use?
Participants can take this test in English, Spanish, French, German, Italian, Portuguese (Brazil), Chinese (Simplified) and Japanese. English is on every plan, and the other languages come with yearly plans. Have a native speaker read the machine-translated text before launch.
Is this a clinical test?
No. ConductCognition is for research use only. It runs, scores and exports the test; clinical interpretation is outside the platform.
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