,

Math and Executive Function Skills

Mathematics, with its intricate problems and abstract concepts, can be a challenge for many students. However, success in math isn’t solely about numbers and formulas; it’s also intimately linked with a to cognitive skills known as math and executive functions. Math and executive function refer to the mental skills that help with working memory, managing time, paying attention, changing focus, planning and organizing, and remembering details. In the formative years of elementary school, the development of executive function plays a pivotal role in a child’s ability to grasp and excel in mathematical concepts.

The Significance of Executive Function in Math

The intricate relationship between math and executive function is evident in various research studies. Executive function skills are like the command center of the brain, directing and managing various tasks. Here’s why they are crucial for math:

  1. Working Memory: This skill is essential for holding and manipulating information over short periods. In math, it helps students remember number sequences, solve complex problems, and recall formulas.
  2. Cognitive Flexibility: This allows students to think about something in more than one way. In math, this skill helps students to approach a problem from different angles, aiding in problem-solving.
  3. Inhibitory Control: This refers to one’s ability to resist temptations and avoid acting impulsively. In the classroom, this skill is vital for maintaining focus during math lessons and ignoring distractions.

Enhancing Executive Function for Math Success

Given the clear connection between math and executive function, efforts to bolster these cognitive skills can lead to better math performance. Here are some executive functioning strategies that educators and parents can employ:

  • Structured Play: Games that require turn-taking, following rules, or strategizing can boost executive function skills. Board games or card games that involve counting or strategy can be particularly useful.
  • Mindfulness and Meditation: Activities that promote focus and self-awareness can enhance executive functions. For young learners, guided meditations or deep breathing exercises can be a starting point.
  • Routine and Organization: Establishing a consistent routine, whether it’s for homework or classroom activities, can help reinforce planning and organizational skills.
  • Practice and Repetition: Like any other skill, executive function can be strengthened with practice. Repetitive activities that challenge these cognitive skills, such as memory games or puzzles, can be beneficial.

The Implications for Educators

For educators, understanding the role of math and executive function in elementary students provides insights into how they can structure their teaching methods:

  • Tailored Lessons: Recognizing that some students may need more support in developing their executive functions can lead to personalized lessons. This includes breaking tasks down into smaller steps or providing additional memory cues.
  • Encourage Group Work: Collaborative tasks can foster cognitive flexibility as students navigate different perspectives and problem-solving techniques.
  • Provide Constructive Feedback: Highlighting areas of improvement in executive function (like attention or impulse control) rather than just academic performance can lead to a more holistic educational approach.

Executive Function Training for Math – What Does the Research Indicate?

Executive Function (EF) training has been a topic of discussion among educators and researchers, especially for helping students who struggle with math. Simply put, EF training aims to strengthen a student’s mental processes to improve attention, organization, and other cognitive functions. Let’s delve into a study and see what it reveals about this training.

In one study, 32 young students who had difficulties with math were split into two groups. Half received EF training, and half didn’t. Both groups were tested before and after training, and then again six months later. The aim was to see if the training made a difference in their mathematical and cognitive abilities.

Key Training Tasks and Findings

  1. Inhibition Training Task: Not significant for this group. The training did not produce measurable effects on tasks that required inhibitory control, such as the Stroop task.
  2. Updating Training Task:
    • Immediate Effects: Significant improvements were observed in tasks that required updating and shifting abilities.
    • Long-term Effects: Some of these gains were sustained after 6 months, especially in more complex tasks like the 2-back and letter shifting tasks. Simpler tasks like the 1-back task didn’t show significant improvement, possibly because the students already performed well on them before training.
  3. Shifting Training Task:
    • Immediate Effects: Improvements were seen in number shifting and letter shifting tasks.
    • Long-term Effects: Only the effect on the letter shifting task was sustained after 6 months. The number shifting task was possibly too complex, involving multiple cognitive demands like attention to color, numbers, and shifting between various tasks.

Effects on Different Skills

  • Fluid Intelligence: No noticeable improvement was detected in the training group, which aligns with some previous research. The relationship between EF and fluid intelligence is complex and may vary across different populations.
  • Calculation Fluency and Mathematics Problem-Solving:
    • Immediate Effects: Significant progress in calculation and problem-solving tasks.
    • Long-term Effects: The advantages disappeared after 6 months. It is speculated that this could be due to continuous development in cognitive and mathematics abilities among the control group.
  • Numerical Operations Task: No instant effect, but effects were observed after 6 months. This delay might be related to the complexity of this task, which involves understanding and using various arithmetic operations.

Conclusion: Study on Math and Executive Function Skills

  1. Improvement in Specific Areas: The study demonstrated that EF training can lead to instant and sustained improvements in specific areas like updating and shifting abilities.
  2. Mathematics Skills Enhancement: EF training also improved students’ performance on calculation fluency and mathematics problem-solving tasks, though these effects were not sustained in the long term.
  3. Complexity Matters: The complexity of tasks can influence the effectiveness and sustainability of EF training effects. Simpler tasks might not benefit as much from training, while more complex tasks might show delayed improvements.
  4. Need for Further Research: The study also highlighted the need for additional research to understand the specific effects of EF training on various tasks and populations, especially as inconsistencies and individual differences may exist.

In summary, EF training has the potential to be a helpful tool for students with MD, particularly in enhancing their updating and shifting abilities, and thereby improving their performance in mathematics. However, the effectiveness and sustainability of these improvements might vary depending on the complexity of the tasks and individual differences among students. Further research will be crucial in refining these training techniques to maximize their benefits.

As research continues to unveil the profound relationship between math and executive function, it’s evident that academic success, especially in subjects like math, extends beyond raw knowledge or talent. By understanding and supporting the development of executive function in elementary students, we lay a solid foundation for their future learning and achievements.

Reference: Cai, D., Zhao, J., Chen, Z., & Liu, D. (2022). Executive functions training for 7-to 10-year-old students with mathematics difficulty: Instant effects and 6-month sustained effects. Journal of Learning Disabilities, 00222194221117513.