Abstract
This paper delves into the key components of the Spiral Method of Teaching. The spiral teaching method is an instructional approach that emphasizes the continuous revisiting of key concepts throughout a course or curriculum. Rather than teaching each topic completely separate from one another, this method reintroduces the material at regular intervals, each time at a deeper or more complex level. This repetition helps reinforce students’ understanding, supports long-term retention, and highlights connections between new and previously learned content. By integrating earlier concepts into ongoing lessons and assessments, the spiral method promotes cumulative learning and encourages students to see the relevance and progression of their education. It is especially effective in subjects like mathematics and science, where foundational knowledge is essential for future success.

Introduction
As a Lecturer in the Department of Mathematics and Computer Science at Hostos Community College, I have explored various educational pedagogies and methodologies throughout my twenty-five year career in education. I have found that the most effective strategies are rooted in enabling students to build upon the knowledge that they have coming into the classroom and provide them instruction that encourages them to form connections between the material they are learning. The spiral method has been the most efficient at cultivating a classroom of students who can not only see patterns between the topics they are learning in the classroom but they are also able to link these connections to solutions for issues in our everyday world.

Methodology/Findings
The spiral teaching method was first introduced by cognitive psychologist Jerome Bruner in the 1960s as part of his broader work on how people learn. Bruner believed that students learn best when information is structured in a way that allows them to revisit ideas repeatedly over time, each time at a more advanced level. He argued that even complex topics could be taught at any age, as long as they were presented in a developmentally appropriate way and reinforced through spiraling. This approach was a response to traditional linear models of teaching, which often left gaps in understanding by moving from one topic to the next without reinforcement. Bruner’s spiral curriculum aimed to build stronger foundations, promote deeper learning, and support the natural way the human mind organizes and recalls information (Bruner, 1960).1

The spiral method of teaching is a powerful instructional strategy that promotes long-term learning and deeper understanding by revisiting key concepts throughout a course. Rather than treating topics as isolated units, the spiral approach continuously brings back prior material, allowing students to strengthen their knowledge over time. Harden and Stamper (1999) emphasized that “a spiral curriculum is not simply the repetition of a topic taught. It requires also the deepening of it, with each successive encounter building on the previous one.”2 They also noted that a spiral structure increases difficulty, builds relationships across lessons, and leads to greater competency as learners move forward. This method is especially effective in subjects where skills and concepts build on each other, such as mathematics, science, and language learning.

My teaching approach is to keep my students connected to previously covered material. I believe that consistent exposure and reinforcement are essential to truly mastering a subject. That is why I like to include a question from that content in the next exam, as part of a spiral method. This helps students recall and apply what they have learned in new contexts, showing them that earlier concepts are still relevant and important. This observation is supported by recent research from Oliva (2023), who found a “highly significant relationship” between the spiral progression approach and improved academic performance among junior high students.3 By integrating past material into ongoing instruction, the spiral method not only aids in retention but also encourages cumulative learning. Students are less likely to forget important ideas and more likely to see how different parts of the curriculum are interconnected. This also reduces the pressure of cramming before exams, as they have been reviewing and practicing concepts all along.

By the end of the course, students have fully learned the material. They don’t just memorize it for a single test, they understand it, apply it, and retain it. This depth of learning prepares them not only for final exams but also for future courses that rely on foundational knowledge. I am always available to help them with homework problems or exam review, both during my office hours and in class. I believe that accessibility and consistent support are key to student success. The spiral method complements this by giving students regular opportunities to revisit and clarify concepts before moving on.

Dionicio

 

Conclusion
In conclusion, the spiral method of teaching offers a dynamic and research-based approach to instruction that fosters deep, long-term learning. By continuously revisiting key concepts and gradually increasing the complexity of material, it reinforces students’ prior knowledge while supporting the development of higher-order thinking skills. This method not only helps students retain information but also encourages them to make meaningful connections across topics, which is essential for mastery in subjects such as mathematics and science. When paired with consistent academic support and a student-centered philosophy, the spiral approach empowers learners to build confidence, take ownership of their learning, and succeed in both current and future academic challenges.

Footnotes
1 Jerome S. Bruner, The Process of Education (Cambridge, MA: Harvard University Press, 1960).
2 R. M. Harden and N. Stamper, “What Is a Spiral Curriculum?” Medical Teacher 21, no. 2 (1999): 141–143, https://doi.org/10.1080/01421599979752.

References
Bruner, J. S. (1960). The process of education. Harvard University Press.

Harden, R. M., & Stamper, N. (1999). What is a spiral curriculum? Medical Teacher, 21(2), 141–143. https://doi.org/10.1080/01421599979752

Oliva, R. E. (2023). The Effectiveness of the Spiral Progression Approach in Teaching Junior High school mathematics in Zambales, Philippines. Journal of Education and Innovation, 25(4), 91–101. https://so06.tci-thaijo.org/index.php/edujournal_nu/article/view/256468

Dionicio

Dionicio Taveras, Lecturer, Mathematics

Professor Dionicio Taveras is a faculty member in the Department of Mathematics and Computer Science at Hostos Community College, City University of New York (CUNY), where he has taught for over 27 years. He brings extensive experience in mathematics education and currently serves as a lecturer in the newly established Construction Management program at Hostos. Throughout his career, Professor Taveras has focused on instructional methods that promote longterm learning and student success. This paper, The Spiral Method of Teaching: Reinforcing Learning Through Repetition and Connection, explores one of the core strategies he employs across all of his courses to help students deepen their understanding of key concepts and apply them across disciplines.

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