Summary: According to a new study, brain activity patters show different stages of cognition which can be used to improve how students learn math.
Source: Carnegie Mellon University.
Brain activity patterns reveal distinct stages of thinking that can be used to improve how students learn mathematical concepts.
A new Carnegie Mellon University neuroimaging study reveals the mental stages people go through as they are solving challenging math problems.
Published in Psychological Science, researchers combined two analytical strategies to use functional MRI (fMRI) to identify patterns of brain activity that aligned with four distinct stages of problem solving.
“How students were solving these kinds of problems was a total mystery to us until we applied these techniques,” said John Anderson, the R.K. Mellon University Professor of Psychology and Computer Science and lead researcher on the study. “Now, when students are sitting there thinking hard, we can tell what they are thinking each second.”
Anderson has spent decades revolutionizing education and how students learn by developing a unified theory of cognition and using it to create successful cognitive-based tutors. He believes that insights from this new work may eventually be applied to the design of more effective classroom instruction – particularly in the form of improving cognitive tutors by creating models that match the brain activation and thinking patterns used to solve these problems.
Anderson’s work at the intersection of cognitive psychology and computer science to find better ways for students to learn is a major reason that Carnegie Mellon has been a longtime leader in the study of brain and behavior and in educational research. His legacy is a critical part of the foundation of two university-wide initiatives: BrainHub, which focuses on how the structure and activity of the brain give rise to complex behaviors; and the Simon Initiative, which aims to measurably improve student learning outcomes by harnessing a learning engineering ecosystem that has developed over several decades at CMU.
His latest study emerges from an ongoing line of research that uses brain imaging to understand the sequence of processes that underlie thinking. While neuroimaging research has provided a window into various aspects of cognition, how these pieces fit together into a coherent whole, as people complete real tasks in real time, is not clearly understood.
Anderson wondered whether two analytical approaches – multivoxel pattern analysis (MVPA) and hidden semi-Markov models (HSMM) – could be combined to shed light on the different stages of thinking. MVPA has typically been used to identify momentary patterns of activation; adding HSMM, Anderson hypothesized, would yield information about how these patterns play out over time.
Anderson and CMU Department of Psychology colleagues Aryn A. Pike and Jon M. Fincham decided to apply this combined approach to neuroimaging data collected from participants as they solved specific types of math problems. To gauge whether the stages that were identified mapped on to actual stages of thinking, they manipulated different features of the math problems; some problems required more effort in coming up with an appropriate solution plan and others required more effort in executing the solution. The aim was to test whether these manipulations had the specific effects one would expect on the durations of the different stages.
Eighty people participated in the study – after practicing using specific strategies to solve the math problems, the participants then answered a series of target problems while in the scanner. They received feedback for each problem, with answers turning green if they were correct and red if they were incorrect.
Using the HSMM-MVPA method to analyze the neuroimaging data, the team identified four stages of cognition: encoding, planning, solving, and responding. The results showed that the planning stage tended to be longer when the problem required more planning, and the solution stage tended to be longer when the solution was more difficult to execute, indicating that the method mapped onto real stages of cognition that were differentially affected by various features of the problems.
“Typically, researchers have looked at the total time to complete a task as evidence of the stages involved in performing that task and how they are related,” Anderson said. “The methods in this paper allow us to measure the stages directly.”
Although the study focused specifically on mathematical problem solving, the method holds promise for broader application, the researchers argue. Using the same method with brain imaging techniques that have greater temporal resolution, such as EEG, could reveal even more detailed information about the various stages of cognitive processing.
Funding: The National Science Foundation and James S. McDonnell Foundation funded this research.
Source: Shilo Rea – Carnegie Mellon University
Image Source: This NeuroscienceNews.com image is credited to Neuroscience News.
Original Research: Abstract for “Hidden Stages of Cognition Revealed in Patterns of Brain Activation” by John R. Anderson, Aryn A. Pyke, and Jon M. Fincham in Psychological Science. Published online July 20 2016 doi:10.1177/0956797616654912
[cbtabs][cbtab title=”MLA”]Carnegie Mellon University. “Watching the Brain do Math.” NeuroscienceNews. NeuroscienceNews, 21 July 2016.
<https://neurosciencenews.com/neuroscience-brain-math-4714/>.[/cbtab][cbtab title=”APA”]Carnegie Mellon University. (2016, July 21). Watching the Brain do Math. NeuroscienceNews. Retrieved July 21, 2016 from https://neurosciencenews.com/neuroscience-brain-math-4714/[/cbtab][cbtab title=”Chicago”]Carnegie Mellon University. “Watching the Brain do Math.” https://neurosciencenews.com/neuroscience-brain-math-4714/ (accessed July 21, 2016).[/cbtab][/cbtabs]
Abstract
Hidden Stages of Cognition Revealed in Patterns of Brain Activation
To advance cognitive theory, researchers must be able to parse the performance of a task into its significant mental stages. In this article, we describe a new method that uses functional MRI brain activation to identify when participants are engaged in different cognitive stages on individual trials. The method combines multivoxel pattern analysis to identify cognitive stages and hidden semi-Markov models to identify their durations. This method, applied to a problem-solving task, identified four distinct stages: encoding, planning, solving, and responding. We examined whether these stages corresponded to their ascribed functions by testing whether they are affected by appropriate factors. Planning-stage duration increased as the method for solving the problem became less obvious, whereas solving-stage duration increased as the number of calculations to produce the answer increased. Responding-stage duration increased with the difficulty of the motor actions required to produce the answer.
“Hidden Stages of Cognition Revealed in Patterns of Brain Activation” by John R. Anderson, Aryn A. Pyke, and Jon M. Fincham in Psychological Science. Published online July 20 2016 doi:10.1177/0956797616654912
