Related Experiment Video
Updated: Aug 21, 2025

10:26
Problem-Solving Before Instruction PS-I: A Protocol for Assessment and Intervention in Students with Different Abilities
Published on: September 11, 2021
4.0K
Exploring the Virtual-Representational-Abstract Instructional Sequence Across the Learning Stages for Struggling
Emily Bouck1, Holly Long1, Yukyung Bae1
1Michigan State University, East Lansing, USA.
Behavior Modification
|November 16, 2022
Summary
Virtual manipulatives, specifically the virtual-representational-abstract (VRA) sequence, improved math accuracy for struggling students. While fluency and generalization showed limited gains, students did maintain their learning.
Area of Science:
- Mathematics Education
- Educational Technology
- Special Education
Background:
- Virtual manipulatives offer an alternative to concrete tools in math education.
- Research often overlooks at-risk or struggling students, focusing on acquisition rather than all four learning stages (acquisition, fluency, maintenance, generalization).
Purpose of the Study:
- To investigate the virtual-representational-abstract (VRA) instructional sequence across four learning stages.
- To examine the effectiveness of VRA for elementary students struggling with mathematics.
Main Methods:
- A single-case design study was employed.
- The VRA instructional sequence was delivered online using explicit instruction.
- The study included three elementary students identified as struggling in mathematics.
Main Results:
- A functional relationship was found between the VRA sequence and improved students' computational accuracy.
- Limited influence was observed on fluency rate and generalization to word problems.
- Students demonstrated maintenance of learned skills.
Conclusions:
- The VRA instructional sequence, delivered via explicit online instruction, is effective for improving computational accuracy in struggling math students.
- While maintenance was observed, further research is needed to enhance fluency and generalization within the VRA framework.
More Related Videos
Related Concept Videos
Elaborative Rehearsals
120
Elaborative rehearsal is a crucial cognitive strategy that strengthens information encoding in long-term memory by making meaningful connections between new data and pre-existing knowledge. This approach contrasts with maintenance rehearsal, which involves simple repetition without delving into the significance of the information. While maintenance rehearsal might temporarily keep information active in short-term memory, it is less effective for long-term retention.
The effectiveness of...
The effectiveness of...
120
Learning Disabilities
255
Learning disabilities are cognitive disorders caused by neurological impairments that affect cognitive functions like language and reading, without indicating overall intellectual or developmental challenges. These disabilities differ from global intellectual or developmental disabilities as they are limited to distinct cognitive functions. Common learning disabilities include dysgraphia, dyslexia, and dyscalculia, each of which impacts unique aspects of learning.
Dyslexia
Dyslexia is a...
Dyslexia
Dyslexia is a...
255
Purposive Learning
183
E. C. Tolman emphasized the purposiveness of behavior — the idea that much of our behavior is goal-directed. For instance, employees who aim for a promotion work diligently to meet their targets. Tolman argued that when classical conditioning and operant conditioning occur, the organism acquires certain expectations. In classical conditioning, a child might fear a dog because they expect it to bite. In operant conditioning, a person might consistently work overtime because they expect a...
183
Steps in the Modeling Process
285
Albert Bandura's theory of observational learning identifies four critical processes: attention, retention, motor reproduction, and reinforcement or motivation.
Attention is the first necessary component for observational learning. It involves focusing on what the model is doing and saying. For example, if you decide to take a drawing class to enhance your skills, you need to pay close attention to the instructor's words and hand movements. The characteristics of the model significantly...
Attention is the first necessary component for observational learning. It involves focusing on what the model is doing and saying. For example, if you decide to take a drawing class to enhance your skills, you need to pay close attention to the instructor's words and hand movements. The characteristics of the model significantly...
285
Cognitive Learning
476
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...
476
Piaget's Stage 4 of Cognitive Development
114
The formal operational stage, as described in Piaget's cognitive development theory, begins around age 11 and extends into adulthood. It marks the emergence of advanced cognitive abilities that differentiate adolescent and adult thinking from those of younger children. This stage is characterized by abstract reasoning, hypothetical-deductive reasoning, and a more complex understanding of self and others.
Abstract Reasoning and Hypothetical-Deductive Thinking
Unlike the concrete operational...
Abstract Reasoning and Hypothetical-Deductive Thinking
Unlike the concrete operational...
114

