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Children can be systematic problem-solvers at younger ages than psychologists had thought – new research
Child psychologists: Celeste Kidd’s research challenges long-standing ideas from Jean Piaget about children’s problem-solving abilities. Her findings show that children as young as four can independently utilize algorithmic strategies to solve complex tasks, contradicting the belief that systematic logical thinking develops only after age seven. This insight highlights the importance of nurturing algorithmic thinking in early education.
Last Updated on March 16, 2026 by Daily News Staff
Celeste Kidd, University of California, Berkeley
I’m in a coffee shop when a young child dumps out his mother’s bag in search of fruit snacks. The contents spill onto the table, bench and floor. It’s a chaotic – but functional – solution to the problem.
Children have a penchant for unconventional thinking that, at first glance, can look disordered. This kind of apparently chaotic behavior served as the inspiration for developmental psychologist Jean Piaget’s best-known theory: that children construct their knowledge through experience and must pass through four sequential stages, the first two of which lack the ability to use structured logic.
Piaget remains the GOAT of developmental psychology. He fundamentally and forever changed the world’s view of children by showing that kids do not enter the world with the same conceptual building blocks as adults, but must construct them through experience. No one before or since has amassed such a catalog of quirky child behaviors that researchers even today can replicate within individual children.
While Piaget was certainly correct in observing that children engage in a host of unusual behaviors, my lab recently uncovered evidence that upends some long-standing assumptions about the limits of children’s logical capabilities that originated with his work. Our new paper in the journal Nature Human Behaviour describes how young children are capable of finding systematic solutions to complex problems without any instruction. https://www.youtube.com/embed/Qb4TPj1pxzQ?wmode=transparent&start=0 Jean Piaget describes how children of different ages tackle a sorting task, with varying success.
Putting things in order
Throughout the 1960s, Piaget observed that young children rely on clunky trial-and-error methods rather than systematic strategies when attempting to order objects according to some continuous quantitative dimension, like length. For instance, a 4-year-old child asked to organize sticks from shortest to longest will move them around randomly and usually not achieve the desired final order.
Psychologists have interpreted young children’s inefficient behavior in this kind of ordering task – what we call a seriation task – as an indicator that kids can’t use systematic strategies in problem-solving until at least age 7.
Somewhat counterintuitively, my colleagues and I found that increasing the difficulty and cognitive demands of the seriation task actually prompted young children to discover and use algorithmic solutions to solve it.
Piaget’s classic study asked children to put some visible items like wooden sticks in order by height. Huiwen Alex Yang, a psychology Ph.D. candidate who works on computational models of learning in my lab, cranked up the difficulty for our version of the task. With advice from our collaborator Bill Thompson, Yang designed a computer game that required children to use feedback clues to infer the height order of items hidden behind a wall, .
The game asked children to order bunnylike creatures from shortest to tallest by clicking on their sneakers to swap their places. The creatures only changed places if they were in the wrong order; otherwise they stayed put. Because they could only see the bunnies’ shoes and not their heights, children had to rely on logical inference rather than direct observation to solve the task. Yang tested 123 children between the ages of 4 and 10. https://www.youtube.com/embed/GlsbcE6nOxk?wmode=transparent&start=0 Researcher Huiwen Alex Yang tests 8-year-old Miro on the bunny sorting task. The bunnies are hidden behind a wall with only their sneakers visible. Miro’s selections exemplify use of selection sort, a classic efficient sorting algorithm from computer science. Kidd Lab at UC Berkeley.
Figuring out a strategy
We found that children independently discovered and applied at least two well-known sorting algorithms. These strategies – called selection sort and shaker sort – are typically studied in computer science.
More than half the children we tested demonstrated evidence of structured algorithmic thinking, and at ages as young as 4 years old. While older kids were more likely to use algorithmic strategies, our finding contrasts with Piaget’s belief that children were incapable of this kind of systematic strategizing before 7 years of age. He thought kids needed to reach what he called the concrete operational stage of development first.
Our results suggest that children are actually capable of spontaneous logical strategy discovery much earlier when circumstances require it. In our task, a trial-and-error strategy could not work because the objects to be ordered were not directly observable; children could not rely on perceptual feedback.
Explaining our results requires a more nuanced interpretation of Piaget’s original data. While children may still favor apparently less logical solutions to problems during the first two Piagetian stages, it’s not because they are incapable of doing otherwise if the situation requires it.
A systematic approach to life
Algorithmic thinking is crucial not only in high-level math classes, but also in everyday life. Imagine that you need to bake two dozen cookies, but your go-to recipe yields only one. You could go through all the steps of making the recipe twice, washing the bowl in between, but you’d never do that because you know that would be inefficient. Instead, you’d double the ingredients and perform each step only once. Algorithmic thinking allows you to identify a systematic way of approaching the need for twice as many cookies that improves the efficiency of your baking.
Algorithmic thinking is an important capacity that’s useful to children as they learn to move and operate in the world – and we now know they have access to these abilities far earlier than psychologists had believed.
That children can engage with algorithmic thinking before formal instruction has important implications for STEM – science, technology, engineering and math –education. Caregivers and educators now need to reconsider when and how they give children the opportunity to tackle more abstract problems and concepts. Knowing that children’s minds are ready for structured problems as early as preschool means we can nurture these abilities earlier in support of stronger math and computational skills.
And have some patience next time you encounter children interacting with the world in ways that are perhaps not super convenient. As you pick up your belongings from a café floor, remember that it’s all part of how children construct their knowledge. Those seemingly chaotic kids are on their way to more obviously logical behavior soon.
Celeste Kidd, Professor of Psychology, University of California, Berkeley
This article is republished from The Conversation under a Creative Commons license. Read the original article.
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The Knowledge
Where Does Federal Money Go? The Biggest Costs Behind the Budget
Where does federal money go? Part two of our National Debt Explained series examines the biggest expenses in the 2025 budget and how spending connects to government borrowing.
Last Updated on October 13, 2026 by Daily News Staff
The Knowledge | National Debt Explained, Part 2
When discussing debt, ask: Who borrowed the money? That question helps distinguish a family’s finances from the federal budget. Our first episode explained why your credit card balance is separate from the national debt. Now comes the next question: What does the federal government spend money on?
Much of it pays for retirement benefits, health coverage, national defense, public services, and interest on previous borrowing.
Social Security was the largest individual program in fiscal year 2025, costing approximately $1.6 trillion. But combine the major health care programs—including Medicare, Medicaid, and health insurance subsidies—and their spending reached about $1.8 trillion, exceeding Social Security alone. cbo.gov
The figures below cover October 1, 2024, through September 30, 2025.Major expense FY 2025 spending What it supports Social Security About $1.6 trillion Retirement, survivor, and disability benefits Medicare, net $988 billion Health coverage for older adults and certain people with disabilities Net interest $970 billion Cost of servicing publicly held federal debt, after subtracting interest income Discretionary defense $893 billion Military personnel, operations, equipment, and research Medicaid $668 billion Federal contribution toward health coverage and care for eligible people
These are selected expenses, not the entire budget. Medicare spending is shown after premiums and other offsetting receipts. The combined health care total already includes Medicare and Medicaid, so it should not be added to those rows. cbo.gov
The government also supports veterans’ health care, transportation, education, housing assistance, courts, law enforcement, scientific research, disaster response, and environmental protection. Nondefense discretionary spending totaled approximately $980 billion in 2025, covering many of these services. Some funding for these areas falls elsewhere in the budget. cbo.gov
Federal spending falls into three broad groups:
- Mandatory spending: Payments governed by existing eligibility rules and benefit formulas, including Social Security and major health programs.
- Discretionary spending: Funding lawmakers control through appropriations legislation, including most defense spending and many public services.
- Net interest: The expense of servicing publicly held federal debt, minus government interest income. cbo.gov
Interest deserves attention because it pays for borrowing already undertaken. In 2025, net interest exceeded discretionary defense spending. Congressional Budget Office
A program’s cost does not automatically translate into an equal increase in national debt. Taxes and other receipts finance much of federal spending. Social Security and Medicare’s hospital insurance program receive dedicated payroll taxes, while Medicare also collects premiums.
In 2025, federal spending totaled approximately $7 trillion, compared with $5.2 trillion in revenue. The roughly $1.8 trillion shortfall was the deficit, requiring borrowing. Understanding national debt therefore means examining both what government spends and what it collects. cbo.gov
Explore more explanations behind the headlines at STM Daily News, home of The Knowledge.
Sources for this episode
- CBO: The Federal Budget in Fiscal Year 2025 — Overview of spending, revenue, deficits, and debt interest.
- CBO: Mandatory Spending in Fiscal Year 2025 — Breakdown of Social Security, Medicare, Medicaid, and other benefit programs.
- CBO: Discretionary Spending in Fiscal Year 2025 — Defense spending and services including transportation, education, and veterans’ health care.
- CBO: Overview of the FY 2025 Budget Infographics — Highlights the largest expenses and broader budget trends.
Related reading
- U.S. Treasury: Understanding the National Debt — What federal debt represents and how borrowing works.
- U.S. Treasury: Understanding the National Deficit — Explains the difference between an annual deficit and accumulated debt.
- U.S. Treasury: Federal Spending — Additional context about where federal money goes.
Daily News
Whose Debt Is the National Debt?
The national debt isn’t Americans’ credit card balances added together. This simple explainer separates federal borrowing from household debt and explains the difference between debt and a deficit.
Last Updated on October 11, 2026 by Daily News Staff
The Knowledge | STM Daily News
When you hear “national debt,” do you picture everyone’s credit card balances added together? The name can create that impression, but the national debt and household debt measure different borrowing.
The U.S. national debt is money the federal government owes. Your personal credit card balance is not included.
Federal debt versus household debt
The Treasury defines national debt as the federal government’s total outstanding borrowing accumulated over the country’s history. Household debt covers borrowing by individuals and families, including mortgages, credit cards, auto loans, and student loans.
|Type of debt |Who borrowed? |Examples |
|————–|————————|————————————————–|
|National debt |Federal government |Outstanding Treasury securities |
|Household debt|Individuals and families|Credit cards, mortgages, auto loans, student loans|
Putting a $500 purchase on your credit card increases your personal balance. It does not add $500 to the national debt.
How does the national debt grow?
When federal spending exceeds tax collections and other revenue, the government runs a budget deficit. Treasury sells securities to borrow money to cover the gap.
Consider a simplified, hypothetical example: the government collects $5 trillion and spends $6 trillion in one year. That leaves a $1 trillion deficit requiring financing.
A deficit measures a shortfall over a period, usually a year. Debt measures outstanding borrowing accumulated over time. Repeated deficits generally increase that debt. Interest on existing borrowing is also a federal expense.
Does paying off your credit card reduce the national debt?
Paying off a card reduces what you owe your lender. It does not directly repay Treasury borrowing. Household debt and government debt can influence the same economy, but they remain separate obligations.
When discussing debt, ask: Who borrowed the money? That one question helps distinguish a family’s finances from the federal budget.
Find more explanations of the ideas behind the headlines at STM Daily News, home of The Knowledge.
Sources
● U.S. Treasury: Understanding the National Debt
● U.S. Treasury: Understanding the National Deficit
● Federal Reserve Bank of New York: Household Debt and Credit Report
Science
October Meteor Showers Give Phoenix Skywatchers a Reason to Look Up
Phoenix skywatchers have several chances to catch October’s meteor showers. Here’s when to watch the Taurids and Orionids—and how moonlight affects the view.
Last Updated on October 10, 2026 by Daily News Staff
PHOENIX — October is bringing several opportunities to spot shooting stars over the Valley, with the Draconids reaching their October 8–9 peak and more meteor activity ahead.
The Draconids remain active through October 10, although viewers should expect a light display as the peak passes. Under favorable conditions, the shower typically produces only a handful of meteors per hour. timeanddate.com
Next, the Southern Taurids have an annual activity peak around October 14. Known for occasional bright fireballs, the shower continues into November. The stronger Orionids peak on the night of October 21 into the morning of October 22, typically producing 10–20 meteors per hour under dark skies. A bright Moon will interfere with this year’s display. American Meteor Society
The Orionids originate from debris left by Halley’s Comet. For Phoenix viewers, the best opportunity will be after moonset and before dawn, weather permitting. City lights will further reduce the number visible. amsmeteors.org
NASA recommends finding a viewing area away from streetlights, allowing about 30 minutes for eyes to adjust, and watching a broad stretch of sky. No telescope is needed—just a comfortable chair and patience. NASA Science
ECurious about what’s happening above us? Explore more space stories and science explainers in The Knowledge at STM Daily News.xplore more space, science and everyday
