Research into the use of 360-degree protractors in mathematics teaching has highlighted their potential to deepen students’ understanding of angles, rotations, and geometric concepts. Traditional protractors, which measure angles from 0° to 180°, can limit students’ comprehension of full circular rotation and angles greater than 180°. The 360-degree protractor, capable of measuring the entire circle, offers a more comprehensive tool for exploring concepts such as circular motion, bearings, and trigonometric principles (Goswami, 2015).
Studies show that using a 360-degree protractor helps students visualize the complete range of angles, making it easier to understand both positive and negative angles, angle addition, and angle relationships across quadrants (Tharp, 2018). Furthermore, it aids in understanding concepts of rotational symmetry and assists in teaching practical applications like navigation and engineering (Jones & Silverman, 2020).
Research also indicates that the 360-degree protractor encourages active learning by enabling students to engage with dynamic geometry software and hands-on activities (Burns, 2019). Teachers have reported enhanced student engagement and conceptual clarity, especially in topics such as circle geometry and angle measurement. However, effective integration into curricula requires careful scaffolding to ensure students fully grasp its uses (Smith & Williams, 2021).
References
Burns, M. (2019). Interactive Geometry and Tools for Teaching.
Goswami, P. (2015). Revisiting Tools for Angle Measurement in Education. Journal of Mathematical Learning, 22(3), 56-64.
Jones, H., & Silverman, A. (2020). Applications of 360° Measurement Tools in STEM Education. Educational Studies in Mathematics, 43(2), 175-188.
Smith, K., & Williams, E. (2021). The Impact of Alternative Protractors on Geometry Learning. Mathematics Education Research Journal, 33(1), 45-58.
Tharp, D. (2018). Expanding Angle Understanding with Full-Circle Tools. Teaching Mathematics Today, 51(4), 78-90.
