When Struggle Is Reframed As Part Of Learning
When Struggle Is Reframed As Both A Natural Part Of The Learning Pro
When struggle is reframed as both a natural part of the learning process and a worthwhile challenge to undertake, students are encouraged to persevere in the development of deep mathematical understanding. Research indicates that productive struggle—where students persist through difficulty—plays a critical role in meaningful learning, especially in mathematics. However, traditional educational practices often view struggle negatively, which can discourage students from engaging with challenging problems.
Several factors influence students' perceptions of struggle, including curriculum pacing, classroom norms, and societal beliefs about mathematical ability. Many curricula prioritize coverage and speed over deep understanding, leading students to believe that effort and perseverance are less important than simply arriving at the correct answer. This environment can hinder the development of a growth mindset—the belief that intelligence and abilities can develop through effort—essential for productive struggle.
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Introduction
Reframing struggle as a valuable component of learning, particularly in mathematics, has gained recognition among educational researchers and practitioners. By understanding struggle as a natural step in acquiring deep understanding rather than a sign of failure, educators can foster perseverance and resilience among students. The theoretical perspectives of Piagetian and Vygotskian frameworks offer distinct explanations for the role of productive struggle in learning, each emphasizing different developmental processes and instructional strategies.
Piagetian Perspective on Productive Struggle
Jean Piaget’s constructivist theory posits that children actively construct their knowledge of the world through interactions with their environment. Piaget believed that cognitive development occurs through processes of assimilation and accommodation, where children integrate new experiences into existing schemas or adjust their schemas to fit new information. From this perspective, productive struggle aligns with the concept of disequilibrium—when children encounter tasks that challenge their current understanding, prompting cognitive conflict.
Piagetian theorists would argue that such struggles are essential for cognitive growth because they force children to reorganize their mental structures, leading to more advanced levels of reasoning. For instance, when children grapple with a complex mathematical problem, they are operating within the zone of proximal development, where suitable challenges stimulate development. The struggle is thus an indicator that learners are engaging with tasks slightly beyond their current capabilities, promoting development through active exploration.
To maximize effective productive struggle based on Piagetian principles, two strategies can be recommended:
- Engage students with open-ended, hands-on activities: Tasks that require students to manipulate materials or explore various solution pathways encourage active construction of understanding. For example, using visual models or physical manipulatives allows students to experiment and discover mathematical principles themselves, aligning with Piaget’s emphasis on active learning.
- Encourage exploration and reflection over immediate correctness: Teachers should create classroom environments where errors are viewed as a natural part of learning. Facilitating discussions about different approaches and encouraging students to reflect on their reasoning helps deepen understanding and promotes development through persistent effort.
Vygotskian Perspective on Productive Struggle
Lev Vygotsky’s sociocultural theory emphasizes the importance of social interaction and cultural tools in cognitive development. Central to Vygotsky’s framework is the concept of the Zone of Proximal Development (ZPD)—the difference between what a learner can accomplish independently and what they can achieve with guidance. Vygotskian theorists see productive struggle as the beneficial tension that arises when a learner encounters tasks within their ZPD, requiring support from more knowledgeable others.
From this perspective, productive struggle benefits learners by fostering active engagement and gradually developing their independence in problem-solving. Guided participation through collaborative activities, scaffolding, and dialogic interaction helps learners internalize strategies, language, and tools needed for mathematical reasoning.
Strategies recommended by Vygotskian theorists include:
- Implement scaffolding techniques: Teachers provide tailored support—such as hints, questioning, or modeling—that is gradually withdrawn as students become more competent. This scaffolding maintains the cognitive demand of tasks while supporting students through their ZPD, promoting sustained productive struggle.
- Foster collaborative learning environments: Pairing or grouping students encourages peer-to-peer explanation and reasoning. Social interaction mediates understanding, allowing students to articulate their thought processes and learn from others’ perspectives, thus strengthening their problem-solving skills through guided struggle.
Conclusion
Both Piagetian and Vygotskian theories recognize the importance of struggle in learning but highlight different mechanisms. Piaget emphasizes the role of active construction through cognitive conflict, advocating for exploration-rich environments that challenge existing schemas. Vygotsky highlights social interaction and scaffolding within the ZPD as critical to guiding productive struggle. Educational practices that integrate these insights—such as designing open-ended activities that promote exploration and providing supportive social contexts—can effectively foster resilient, independent learners capable of engaging deeply with challenging mathematical tasks. Creating classroom cultures that value effort, normalize errors, and encourage perseverance aligns with these theoretical principles and enhances students' learning trajectories.
References
- Goldenberg, P. E., Mark, J., Kang, J., Fries, M., Carter, C. J., & Cordner, T. (2015). Making sense of algebra: Developing students habits of mind. Portsmouth, NH: Heinemann.
- Hiebert, J., & Grouws, D. A. (2007). The effects of classroom mathematics teaching on students’ learning. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 371–404). National Council of Teachers of Mathematics.
- Stigler, J. W., & Hiebert, J. (1999). The teaching gap: Best ideas from the world's teachers for improving education in the classroom. New York: Free Press.
- Barsalou, L. W. (2008). Grounded cognition. Annual Review of Psychology, 59, 617-645.
- Vygotsky, L. S. (1978). Mind in society: The development of higher psychological processes. Harvard University Press.
- Fuson, K., Carroll, W., & Drueck, J. (2000). Achievement results for second and third graders using the standards-based curriculum everyday mathematics. Journal for Research in Mathematics Education, 31(3), 277–295.
- Warshauer, H. K. (2014a). Productive struggle in middle school mathematics classrooms. Journal of Mathematics Teacher Education, 17(4), 3–28.
- National Governors Association & Council of Chief State School Officers. (2010). Common Core State Standards: Standards for Mathematical Practice. Washington, DC: Author.
- Ministry of Education. (2019). Strategies for promoting resilience and perseverance in learners. Government of Ontario.
- Johnson, S. (n.d.). The history of Rasselas, Prince of Abissinia: Chapter 13. Lynch, J. (Ed.). Retrieved from Foundation website.