Here’s what the evidence tells us, with particular attention to the 3-4-year-olds age group and sex differences.
The Big Picture: Movement is Not a Distraction from Maths — It Is Maths
The idea that children need to sit still to learn is one of the most persistent — and harmful — myths in education. Research consistently shows that children who are more physically active demonstrate better attention, stronger working memory, faster processing speed, and higher academic achievement than sedentary peers.
https://www.personhood360.com/physical-activity-supports-learning-early-years/
The mechanisms are neurological: physical activity increases blood flow to the brain, stimulates the release of neurotransmitters (dopamine, serotonin, norepinephrine) that support mood, motivation, and attention, promotes neurogenesis in the hippocampus (critical for memory and learning), and strengthens the cerebellum — involved not only in movement but also in attention, language processing, and cognitive function. https://www.personhood360.com/physical-activity-supports-learning-early-years/
What Sedentary Behaviour Does to 3 – 4 -Year – Olds
Sedentary behaviour is associated with higher adiposity and poorer psychosocial health and cognitive development in children aged 0–4 years. https://pmc.ncbi.nlm.nih.gov/articles/PMC5575514/
Prolonged periods of sedentary time in early childhood are associated with an increased risk of depression in older children and adolescents. Anthropologists note something specific: reduced postural activity (standing and movement play) in early childhood reduces the ability to learn from experiences and produces developmental delays.
This has a direct implication for classroom design: we should evaluate how much time children are spending in sedentary positions and consider whether chairs are needed at every learning station. https://www.teachearlyyears.com/learning-and-development/view/physical-activity-early-years
Physical Activity → Numeracy: The Research Evidence
A large Norwegian study of 711 preschool children (mean age 4.6, 52% boys) found clear links between activity levels and numeracy. Associations with numeracy were negative for time spent sedentary and positive for time spent in moderate to vigorous intensities. Associations with numeracy were stronger in boys (R² = 5.58%) and older children (R² = 7.27%). https://www.frontiersin.org/journals/psychology/articles/10.3389/fpsyg.2022.842271/full
Active mathematics lessons delivered daily across one month resulted in higher counting and number identification skills in young children. https://link.springer.com/article/10.1007/s10643-023-01532-5
The chain linking movement to maths runs through executive function — particularly working memory, inhibition and cognitive flexibility. Measurements of executive function in preschool predict achievement on mathematics and literacy in kindergarten. Working memory ability correlates with maths and reading scores among children aged 5–6. https://pmc.ncbi.nlm.nih.gov/articles/PMC4874515/
The Boy-Specific Finding: Particularly Important
Boys benefit more from movement-integrated learning than girls. Researchers speculate that boys — who show poorer self-regulation but higher physical activity levels than girls — may inherently need more movement, and that this stimulus more strongly and positively affects self-regulation in boys than in girls. This is consistent with the finding that physically active learning in school-aged boys benefits them more than girls. https://www.frontiersin.org/journals/psychology/articles/10.3389/fpsyg.2022.842271/full
A controlled intervention study with 816 children aged 3–4 found that sex was a significant moderator for effects on early learning. Positive trends were found for boys while negative trends were evident for girls, as girls prefer more social, verbal, and less intensive indoor play and may find more intensive movement activity detracting from other activities that benefit them. https://www.tandfonline.com/doi/full/10.1080/02640414.2025.2460886
Research on embodied cognition found a parallel result: when movement was meaningfully related to a cognitive task (embodied condition), younger children profited more than older ones — and boys profited more than girls. https://link.springer.com/article/10.1007/s41465-018-0081-4
Physical play in the classroom was also found to be positively related to emotional competence, particularly peer relationships, in boys. https://www.frontiersin.org/journals/psychology/articles/10.3389/fpsyg.2021.729272/full
The Critical Design Distinction: Embodied vs. Generic Exercise
Not all movement is equal. Research distinguishes between:
- Generic vigorous activity before learning (useful for priming attention)
- Embodied maths activity — where the body enacts the mathematical concept
There exists a substantial body of research evidence that embodied learning modes can enhance children’s mathematics learning, yet implementation of the research findings in classrooms has so far been limited. https://www.mdpi.com/2227-7102/14/7/696
Embodiment across mathematical domains can benefit mathematical learning, likely by providing an additional representation of the mathematical concept to strengthen encoding, by reducing cognitive load, and by inspiring the use of strategies and modes of thinking that non-embodied approaches don’t evoke. https://link.springer.com/article/10.1186/s41235-017-0053-8
A preschool intervention study found that embodied activities engaged the teacher and children in creating mathematical representations through body movements, and revealed connections between embodied activities and children’s development of subitising, counting skills, mathematical drawing, and number magnitude knowledge. https://www.mdpi.com/2227-7102/15/9/1170
Children who gestured while explaining maths problems were 50% more likely to transfer learning to new problems. https://www.structural-learning.com/post/embodied-cognition
Practical Nuances and Caveats
- Intensity matters. Short bouts (~10 minutes) of vigorous “huff and puff” intensity activities can support children’s attention and self-regulation, so vigorous movement before a quieter maths task works well — but the learning itself should also integrate movement wherever possible.
- Not all sedentary time is equal. Some quieter, focused sedentary activities (social play, drawing, narrative) do support self-regulation in girls specifically — so a blanket “movement = good, sitting = bad” framing is too simple.
- The evidence base is still maturing. A large Norwegian longitudinal study of 3–4 year olds found no overall longitudinal associations between 24-hour movement behaviours and change in numeracy, though interesting gender-differential patterns emerged — a reminder that causality is harder to establish than correlation at this age.
- Motor skills are the bridge. Direct and indirect associations have been found between physical activity, fundamental motor skills, executive functions, and early numeracy in preschoolers — meaning developing gross and fine motor skills through maths activities is likely doubly beneficial.
- https://link.springer.com/article/10.1007/s10643-023-01532-5
- https://link.springer.com/article/10.1186/s12889-025-24605-z
- https://www.tandfonline.com/doi/full/10.1080/17461391.2022.2092777
There’s genuinely interesting counter-evidence worth surfacing. Here’s a critical and balanced look at what pushes back against the above summary.
Counter-Evidence and Complicating Findings
1. The Biggest Direct Challenge: A Large RCT Found No Effect on Maths
The most methodologically rigorous counter-evidence comes from the ACTNOW trial — a large cluster-randomised controlled study specifically designed to test what the earlier research predicted. A study of 816 children aged 3–4 years measured self-regulation, inhibition, cognitive flexibility, working memory, vocabulary, and early mathematical skills at baseline and at 7- and 18-month follow-ups. Results showed no effect of the physical activity intervention on cognitive or learning outcomes in the primary analyses. This is a significant finding because the study had high statistical power, used accelerometry to measure actual activity change, and was specifically targeted at the 3–4 age group that the previous research most often studied. https://www.tandfonline.com/doi/full/10.1080/02640414.2025.2460886
2. Effect Sizes Are Small and the Evidence Is Inconsistent
Even the meta-analyses that do find positive results are modest. A systematic review and meta-analysis of 29 studies involving over 11,000 children found positive overall effects of physical activity on mathematics in only 13 studies (45%), with neutral effects in 15 studies (52%). The overall effect size was small (ES = 0.23). In other words, more than half of properly controlled studies found no significant maths benefit from adding physical activity. https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6873534/
A separate 9-month physical activity intervention also found that varied improvements in cognitive skills were observed for different variables in both intervention and control groups, with no robust evidence for physical activity intervention-related improvements specifically. https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7557372/
3. Sedentary Time and Inhibition: An Unexpected Positive Link
One of the Norwegian preschool studies uncovered something that directly complicates the “more movement = better maths” story. Associations with inhibition were positive for time spent sedentary — meaning more sedentary time was linked to better inhibitory control. This association with inhibition was stronger in girls (R² = 3.12%). Inhibitory control is itself a strong predictor of mathematical performance, which means for some children, particularly girls, some quiet, focused time may be supporting the very self-regulatory skills that underpin maths learning. https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9037291/
4. The Dual-Task Problem: Moving and Learning Simultaneously May Not Work Well
There is a legitimate cognitive concern about asking young children to move and learn maths at the same time. Researchers have flagged that young children may be susceptible to interference during learning and consolidation when performing physical activity concurrently with academic instruction. When one study directly compared active and sedentary maths lessons on what was actually learned, children in physically active and sedentary lessons showed similar learning and retention of quantity estimation — the main difference was improved attention and reduced off-task behaviour, not superior maths acquisition. https://www.sciencedirect.com/science/article/abs/pii/S2211949321000028
5. Not All Sedentary Activity Is Equal — Quiet Cognitive Play Matters Too
The framing of “sedentary = bad” is challenged when researchers distinguish between types of sitting. Simply reducing sedentary time without incorporating stimulating activities may fall short of promoting cognitive improvements — a meta-analysis found that while increased physical activity was consistently linked to better cognitive performance, interventions focusing solely on reducing sedentary behaviour were less effective. https://pmc.ncbi.nlm.nih.gov/articles/PMC11755889/
Crucially, sedentary activities that are cognitively demanding — puzzles, drawing, construction play, book-sharing — appear to have distinct value. Active screen-based sedentary behaviour (e.g. computer use) tended to enhance cognitive functions in boys at age 5–7, while passive sedentary behaviour (e.g. TV viewing) had more negative cognitive impacts on girls. This suggests the quality of sitting matters as much as the fact of sitting. https://www.sciencedirect.com/science/article/abs/pii/S1755296625000171
6. Free and Quiet Play Builds the Self-Regulation That Supports Maths
A longitudinal study found that increases in academic time and structured activities employed to boost preschoolers’ school readiness and academic achievement at the expense of play time may ultimately hinder their academic performance — declines in play time during the preschool years may negatively impact self-regulation, which in turn could harm academic skills. https://pmc.ncbi.nlm.nih.gov/articles/PMC10688615/
And this extends to quiet, unstructured play specifically: the more time preschoolers spent in free choice activities, the greater their gains in inhibitory control — a key maths precursor. This free play includes sedentary forms like construction play and small-group activities, not just physical movement. https://www.sciencedirect.com/science/article/pii/S0885200621001411
7. The Boy Advantage from Movement May Be Overstated
While the previous summary highlighted that boys benefit more from movement-integrated learning, the evidence is nuanced. Girls showed a small negative effect from the physical activity intervention at 18 months — and this isn’t simply that movement helps boys more, but that an intervention optimised for movement may displace other activities (social, verbal, quieter play) that are more beneficial for girls’ development, artificially inflating the apparent boy advantage. https://www.tandfonline.com/doi/full/10.1080/02640414.2025.2460886
The Synthesised Picture
Taken together, the counter-evidence points to three important refinements:
- Movement is not a sufficient condition for maths gains — it depends heavily on whether the movement is conceptually tied to the maths content, not just vigorous activity happening near maths.
- Causality is unclear: children who are naturally more physically active may already have better executive function for other reasons, and the correlational studies can’t separate this.
- Sedentary cognitive engagement has its own value — particularly for inhibitory control and focused attention, which are equally important maths precursors. For game design, the quality of cognitive demand during still play may matter as much as whether children are physically active.








