* . *
  • About
  • Advertise
  • Privacy & Policy
  • Contact
Saturday, August 2, 2025
Earth-News
  • Home
  • Business
  • Entertainment
    Chicago Youth Symphony Orchestra takes the Lollapalooza stage – Yahoo Home

    Chicago Youth Symphony Orchestra takes the Lollapalooza stage – Yahoo Home

    Sens. Blackburn, Warnock introduce CREATE Act to provide tax relief to music creators – Yahoo Home

    Sens. Blackburn and Warnock Launch CREATE Act to Deliver Tax Relief for Music Creators

    That’s (Political) Entertainment: When Theatre Meets Politics

    Future Script: How Generative AI Is Changing Collective Bargaining in the Entertainment Industry – Jackson Lewis

    Future Script: How Generative AI Is Transforming Collective Bargaining in Entertainment

    The SBA’s live-entertainment bailout was supposed to end two years ago. We still don’t know how $1.5 billion was spent. – Yahoo Home

    $1.5 Billion Live-Entertainment Bailout: Two Years Later, Where Did the Money Go?

    Wall Street Bets: Caesars, Golden Entertainment, Churchill Downs, GLPI, Boyd – CDC Gaming

    Top Wall Street Bets: Caesars, Golden Entertainment, Churchill Downs, GLPI, and Boyd Take Center Stage

  • General
  • Health
  • News

    Cracking the Code: Why China’s Economic Challenges Aren’t Shaking Markets, Unlike America’s” – Bloomberg

    Trump’s Narrow Window to Spread the Truth About Harris

    Trump’s Narrow Window to Spread the Truth About Harris

    Israel-Gaza war live updates: Hamas leader Ismail Haniyeh assassinated in Iran, group says

    Israel-Gaza war live updates: Hamas leader Ismail Haniyeh assassinated in Iran, group says

    PAP Boss to Niger Delta Youths, Stay Away from the Protest

    PAP Boss to Niger Delta Youths, Stay Away from the Protest

    Court Restricts Protests In Lagos To Freedom, Peace Park

    Court Restricts Protests In Lagos To Freedom, Peace Park

    Fans React to Jazz Jennings’ Inspiring Weight Loss Journey

    Fans React to Jazz Jennings’ Inspiring Weight Loss Journey

    Trending Tags

    • Trump Inauguration
    • United Stated
    • White House
    • Market Stories
    • Election Results
  • Science
  • Sports
  • Technology
    Emory orthopaedic surgeons use robotic technology to transform knee replacement surgery – Emory News Center

    How Robotic Technology is Revolutionizing Knee Replacement Surgery

    Cognizant Technology Solutions Corp (CTSH) Q2 2025 Earnings Call Highlights: Strong Revenue … – Yahoo.co

    Cognizant Q2 2025 Earnings: Impressive Revenue Growth and Key Takeaways

    Revving Up The U.S. Technology Engine – Forbes

    Revving Up The U.S. Technology Engine – Forbes

    More than just a hockey player – Rochester Institute of Technology Athletics

    Beyond the Ice: The Inspiring Journey of a Remarkable Athlete from Rochester Institute of Technology

    Smart Logistics in Warehousing – From Legacy Protocols to Green IoT – How Technology Is Reshaping the Sustainable Supply Chain – Logistics Viewpoints –

    Smart Logistics in Warehousing – From Legacy Protocols to Green IoT – How Technology Is Reshaping the Sustainable Supply Chain – Logistics Viewpoints –

    AI’s race in the dark with China – Axios

    The High-Stakes AI Race: Innovation and Competition in the Shadows

    Trending Tags

    • Nintendo Switch
    • CES 2017
    • Playstation 4 Pro
    • Mark Zuckerberg
No Result
View All Result
  • Home
  • Business
  • Entertainment
    Chicago Youth Symphony Orchestra takes the Lollapalooza stage – Yahoo Home

    Chicago Youth Symphony Orchestra takes the Lollapalooza stage – Yahoo Home

    Sens. Blackburn, Warnock introduce CREATE Act to provide tax relief to music creators – Yahoo Home

    Sens. Blackburn and Warnock Launch CREATE Act to Deliver Tax Relief for Music Creators

    That’s (Political) Entertainment: When Theatre Meets Politics

    Future Script: How Generative AI Is Changing Collective Bargaining in the Entertainment Industry – Jackson Lewis

    Future Script: How Generative AI Is Transforming Collective Bargaining in Entertainment

    The SBA’s live-entertainment bailout was supposed to end two years ago. We still don’t know how $1.5 billion was spent. – Yahoo Home

    $1.5 Billion Live-Entertainment Bailout: Two Years Later, Where Did the Money Go?

    Wall Street Bets: Caesars, Golden Entertainment, Churchill Downs, GLPI, Boyd – CDC Gaming

    Top Wall Street Bets: Caesars, Golden Entertainment, Churchill Downs, GLPI, and Boyd Take Center Stage

  • General
  • Health
  • News

    Cracking the Code: Why China’s Economic Challenges Aren’t Shaking Markets, Unlike America’s” – Bloomberg

    Trump’s Narrow Window to Spread the Truth About Harris

    Trump’s Narrow Window to Spread the Truth About Harris

    Israel-Gaza war live updates: Hamas leader Ismail Haniyeh assassinated in Iran, group says

    Israel-Gaza war live updates: Hamas leader Ismail Haniyeh assassinated in Iran, group says

    PAP Boss to Niger Delta Youths, Stay Away from the Protest

    PAP Boss to Niger Delta Youths, Stay Away from the Protest

    Court Restricts Protests In Lagos To Freedom, Peace Park

    Court Restricts Protests In Lagos To Freedom, Peace Park

    Fans React to Jazz Jennings’ Inspiring Weight Loss Journey

    Fans React to Jazz Jennings’ Inspiring Weight Loss Journey

    Trending Tags

    • Trump Inauguration
    • United Stated
    • White House
    • Market Stories
    • Election Results
  • Science
  • Sports
  • Technology
    Emory orthopaedic surgeons use robotic technology to transform knee replacement surgery – Emory News Center

    How Robotic Technology is Revolutionizing Knee Replacement Surgery

    Cognizant Technology Solutions Corp (CTSH) Q2 2025 Earnings Call Highlights: Strong Revenue … – Yahoo.co

    Cognizant Q2 2025 Earnings: Impressive Revenue Growth and Key Takeaways

    Revving Up The U.S. Technology Engine – Forbes

    Revving Up The U.S. Technology Engine – Forbes

    More than just a hockey player – Rochester Institute of Technology Athletics

    Beyond the Ice: The Inspiring Journey of a Remarkable Athlete from Rochester Institute of Technology

    Smart Logistics in Warehousing – From Legacy Protocols to Green IoT – How Technology Is Reshaping the Sustainable Supply Chain – Logistics Viewpoints –

    Smart Logistics in Warehousing – From Legacy Protocols to Green IoT – How Technology Is Reshaping the Sustainable Supply Chain – Logistics Viewpoints –

    AI’s race in the dark with China – Axios

    The High-Stakes AI Race: Innovation and Competition in the Shadows

    Trending Tags

    • Nintendo Switch
    • CES 2017
    • Playstation 4 Pro
    • Mark Zuckerberg
No Result
View All Result
Earth-News
No Result
View All Result
Home General

Drawings of mathematical problems predict their resolution

March 7, 2024
in General
Drawings of mathematical problems predict their resolution
Share on FacebookShare on Twitter

Drawings of mathematical problems predict their resolution

Drawing by a participant highlighting the cardinality of numbers by using sets of grouped elements (animals). This type of drawing is generally accompanied by a 3-step solution. Credit: Hippolyte Gros

A team from the University of Geneva (UNIGE), in collaboration with CY Cergy Paris University (CYU) and University of Burgundy (uB), have analyzed drawings made by children and adults when solving simple problems. The scientists found that, whatever the age of the participant, the most effective calculation strategies were associated with certain drawing typologies.

These results, published in the journal Memory & Cognition, open up new perspectives for the teaching of mathematics.

Learning mathematics often involves small problems, linked to concrete everyday situations. For example, pupils have to add up quantities of flour to make a recipe or subtract sums of money to find out what’s left in their wallets after shopping. They are thus led to translate statements into algorithmic procedures to find the solution.

This translation of words into solving strategies involves a stage of mental representation of mathematical information, such as numbers or the arithmetic operation to be performed, and non-mathematical information, such as the context of the problem.

The cardinal or ordinal dimensions of problems

Having a clearer idea of these mental representations would enable a better understanding of the choice of calculation strategies. Scientists from UNIGE, CYU and uB conducted a study with 10-year-old children and adults, asking them to solve simple problems with the instruction to use as few calculation steps as possible.

The participants were then asked to produce a drawing or diagram explaining their problem-solving strategy for each statement. The contexts of some problems called on the cardinal properties of numbers—the quantity of elements in a set—others on their ordinal properties—their position in an ordered list.

The former involved marbles, fishes, or books, for example: “Paul has 8 red marbles. He also has blue marbles. In total, Paul has 11 marbles. Jolene has as many blue marbles as Paul, and some green marbles. She has 2 green marbles less than Paul has red marbles. In total, how many marbles does Jolene have?”

The latter involved lengths or durations, for example: “Sofia traveled for 8 hours. Her trip started during the day. Sofia arrived at 11. Fred leaves at the same time as Sofia. Fred’s trip lasted 2 hours less than Sofia’s. What time was it when Fred arrived?”

Both of the above problems share the same mathematical structure, and both can be solved by a long strategy in 3 steps: 11–8=3; 8–2=6; 6 + 3=9, but also in a single calculation: 11–2=9, using a simple subtraction. However, the mental representations of these problems are very different, and the researchers wanted to determine whether the type of representations could predict the calculation strategy, in 1 or 3 steps, of those who solve them.

‘”Our hypothesis was that cardinal problems—such as the one involving marbles—would inspire cardinal drawings, i.e., diagrams with identical individual elements, such as crosses or circles, or with overlaps of elements in sets or subsets.

“Similarly, we assumed that ordinal problems—such as the one mentioning travel times—would lead to ordinal representations, i.e., diagrams with axes, graduations or intervals—and that these ordinal drawings would reflect participants’ representations and indicate that they would be more successful in identifying the one-step solution strategy,” explains Hippolyte Gros, former post-doctoral fellow at UNIGE’s Faculty of Psychology and Educational Sciences, associate professor at CYU, and first author of the study.

Identifying mental representations through drawings

These hypotheses were validated by analyzing the drawings of 52 adults and 59 children. “We have shown that, irrespective of their experience—since the same results were obtained in both children and adults—the use of strategies by the participants depends on their representation of the problem, and that this is influenced by the non-mathematical information contained in the problem statement, as revealed by their drawings,” says Emmanuel Sander, full professor at the UNIGE’s Faculty of Psychology and Educational Sciences.

“Our study also shows that, even after years of experience in solving addition and subtraction, the difference between cardinal and ordinal problems remains very marked. The majority of participants were only able to solve problems of the second type in a single step.”

Improving mathematical learning through drawing analysis

The team also noted that drawings showing ordinal representations were more frequently associated with a one-step solution, even if the problem was cardinal. In other words, drawing with a scale or an axis is linked to the choice of the fastest calculation.

“From a pedagogical point of view, this suggests that the presence of specific features in a student’s drawing may or may not indicate that his or her representation of the problem is the most efficient one for meeting the instructions—in this case, solving with the fewest calculations possible,” observes Jean-Pierre Thibaut, full professor at the uB Laboratory for Research on Learning and Development.

“Thus, when it comes to subtracting individual elements, a representation via an axis—rather than via subsets—is more effective in finding the fastest method. Analysis of students’ drawings in arithmetic can therefore enable targeted intervention to help them translate problems into more optimal representations. One way of doing this is to work on the graphical representation of statements in class, to help students understand the most direct strategies,” concludes Gros.

More information:
Hippolyte Gros et al, Uncovering the interplay between drawings, mental representations, and arithmetic problem-solving strategies in children and adults, Memory & Cognition (2024). DOI: 10.3758/s13421-024-01523-w

Citation:
Drawings of mathematical problems predict their resolution (2024, March 7)
retrieved 7 March 2024
from https://phys.org/news/2024-03-mathematical-problems-resolution.html

This document is subject to copyright. Apart from any fair dealing for the purpose of private study or research, no
part may be reproduced without the written permission. The content is provided for information purposes only.

>>> Read full article>>>
Copyright for syndicated content belongs to the linked Source : Phys.org – https://phys.org/news/2024-03-mathematical-problems-resolution.html

Previous Post

New Artificial Intelligence Token Is Close to Completing Its Presale in Record Time

Next Post

What’s the best way to pack for space?

Foraging strategy and tree structure as drivers of arboreality and suspensory behaviour in savannah-dwelling chimpanzees – Frontiers

Foraging strategy and tree structure as drivers of arboreality and suspensory behaviour in savannah-dwelling chimpanzees – Frontiers

August 2, 2025
EPA attacks climate science. Here are the facts. – E&E News by POLITICO

EPA Questions Climate Science: Key Insights You Shouldn’t Miss

August 2, 2025
6 science-backed strategies to improve your memory – National Geographic

6 Proven Science-Backed Strategies to Boost Your Memory

August 2, 2025
Trying to keep your brain young? A big new study finds these lifestyle changes help – NPR

Trying to keep your brain young? A big new study finds these lifestyle changes help – NPR

August 2, 2025
2025 World Junior Summer Showcase: 3 things learned on Day 5 – NHL.com

3 Must-Know Highlights from Day 5 of the 2025 World Junior Summer Showcase

August 2, 2025
Economic Reality Bites Trump and His Protectionist Trade Policies – The New Yorker

How Trump’s Protectionist Trade Policies Ended Up Hurting the Global Economy

August 2, 2025
Chicago Youth Symphony Orchestra takes the Lollapalooza stage – Yahoo Home

Chicago Youth Symphony Orchestra takes the Lollapalooza stage – Yahoo Home

August 2, 2025
President Trump Delivers Remarks on Making Health Technology Great Again – The White House (.gov)

President Trump Delivers Remarks on Making Health Technology Great Again – The White House (.gov)

August 2, 2025
Trump’s super PAC in powerful financial position with nearly $200 million on hand – CNN

Trump’s super PAC in powerful financial position with nearly $200 million on hand – CNN

August 2, 2025
It’s time to retire the word ‘technology’ – Financial Times

Why It’s Time to Retire the Word ‘Technology’ for Good

August 2, 2025

Categories

Archives

August 2025
MTWTFSS
 123
45678910
11121314151617
18192021222324
25262728293031
« Jul    
Earth-News.info

The Earth News is an independent English-language daily published Website from all around the World News

Browse by Category

  • Business (20,132)
  • Ecology (750)
  • Economy (775)
  • Entertainment (21,653)
  • General (16,241)
  • Health (9,812)
  • Lifestyle (783)
  • News (22,149)
  • People (776)
  • Politics (784)
  • Science (15,988)
  • Sports (21,270)
  • Technology (15,752)
  • World (758)

Recent News

Foraging strategy and tree structure as drivers of arboreality and suspensory behaviour in savannah-dwelling chimpanzees – Frontiers

Foraging strategy and tree structure as drivers of arboreality and suspensory behaviour in savannah-dwelling chimpanzees – Frontiers

August 2, 2025
EPA attacks climate science. Here are the facts. – E&E News by POLITICO

EPA Questions Climate Science: Key Insights You Shouldn’t Miss

August 2, 2025
  • About
  • Advertise
  • Privacy & Policy
  • Contact

© 2023 earth-news.info

No Result
View All Result

© 2023 earth-news.info

No Result
View All Result

© 2023 earth-news.info

Go to mobile version