Related Experiment Video
Updated: Aug 12, 2026

10:26
Problem-Solving Before Instruction (PS-I): A Protocol for Assessment and Intervention in Students with Different Abilities
Published on: September 11, 2021
The use of diagrams in analogical problem solving
R Pedone1, J E Hummel, K J Holyoak
1University of Rome La Sapienza, Italy.
Memory & Cognition
|May 16, 2001
Summary
Diagrams aid analogical problem solving, especially when animated to show convergence. Static diagrams are less effective, but animation significantly boosts spontaneous retrieval and understanding of problem-solving strategies.
Area of Science:
- Cognitive Psychology
- Problem Solving
- Visual Learning
Background:
- Diagrams are often used to aid problem-solving.
- The effectiveness of diagrams in analogical transfer is not fully understood.
- Perceptual properties may influence how diagrams are utilized.
Purpose of the Study:
- To investigate how perceptual properties of diagrams affect their use in analogical problem solving.
- To determine the impact of static versus animated diagrams on analogical transfer.
- To explore factors influencing spontaneous diagram access and utilization.
Main Methods:
- Four experiments used convergence diagrams as source analogues for the radiation problem.
- Varied diagram types: static, animated, augmented with text.
- Assessed spontaneous diagram access, hint-based usage, and analogical transfer.
Main Results:
- Static diagrams were rarely accessed spontaneously but useful with hints.
- Animation significantly improved spontaneous retrieval by depicting motion.
- Diagrams were ineffective if perceptual cues (arrows) implied divergence instead of convergence.
Conclusions:
- Animation enhances diagram effectiveness in analogical problem solving by promoting interpretation as a helpful source analogue.
- Perceptual properties, like implied motion, are critical for diagrammatic understanding and transfer.
- Strategic use of visual cues and hints can improve diagrammatic problem-solving support.
Related Concept Videos
Free-body Diagrams: Problem Solving
Free-body diagrams are essential tools for physicists and engineers studying the motion of objects. Free-body diagrams are graphical representations of the object or system under consideration, and they focus solely on the essential forces acting on the object. This tool helps break down complex problems into simpler models that are easier to understand and solve.
For example, consider a block with a mass of 10 kg released on an inclined plane at an angle of 30° to the horizontal, where the...
For example, consider a block with a mass of 10 kg released on an inclined plane at an angle of 30° to the horizontal, where the...
Problem Solving: Dimensional Analysis
Every mathematical equation that connects separate distinct physical quantities must be dimensionally consistent, which implies it must abide by two rules. For this reason, the concept of dimension is crucial. The first rule is that an equation's expressions on either side of an equality must have the exact same dimension, i.e., quantities of the same dimension can be added or removed. The second rule stipulates that all popular mathematical functions, such as exponential, logarithmic, and...
Elements of Block Diagrams
Block diagrams serve as a visual representation of the input-output relationships within a system. An illustrative example is a heating system, where the set temperature activates the furnace to warm the room to the desired level. Block diagrams are versatile, modeling linear systems through Laplace transform variables and nonlinear systems using time domain variables.
A block diagram typically includes essential elements such as comparators, blocks, and feedback loops. Each of these elements...
A block diagram typically includes essential elements such as comparators, blocks, and feedback loops. Each of these elements...
Block Diagram Reduction
The process of deriving the transfer function of a control system often involves reducing its block diagram to a single block. This simplification can be achieved through a series of strategic operations, including relocating branch points and comparators. These operations preserve the overall function of the system while allowing for easier manipulation and combination of blocks.
The first step in this process is the identification and relocation of a branch point. A branch point, where a...
The first step in this process is the identification and relocation of a branch point. A branch point, where a...
Cognitive Learning
Cognitive learning is based on purposive behavior, incidental learning, and insight learning.
E. C. Tolman's theory of purposive behavior emphasizes that much behavior is goal-directed. He argued that to understand behavior, we must look at the entire sequence of actions leading to a goal. For instance, high school students study hard, not just due to past reinforcement but also to achieve the goal of getting into a good college.
Tolman introduced the idea that behavior is influenced by...
E. C. Tolman's theory of purposive behavior emphasizes that much behavior is goal-directed. He argued that to understand behavior, we must look at the entire sequence of actions leading to a goal. For instance, high school students study hard, not just due to past reinforcement but also to achieve the goal of getting into a good college.
Tolman introduced the idea that behavior is influenced by...
Problem-Solving
Effective problem-solving consists of two steps: 1. identifying the problem and 2. selecting the appropriate problem-solving strategy (i.e., a plan of action used to find a solution). Humans use four problem-solving strategies:

