In the field of upper primary school mathematics learning in Singapore, “the confusion of math geometry” is like a dense foggy forest, causing many children to lose their way and becoming a major challenge on their math learning journey. From calculating the perimeter and area of plane figures to solving the surface area and volume of solid figures, knowledge related to geometric figures is not only filled with numerous concepts and complex formulas but also places high demands on children’s spatial imagination and abstract thinking abilities.
Many children often feel deeply confused when learning geometric figures. They have difficulty understanding the characteristics and properties of figures, struggle to remember calculation formulas, and are unable to flexibly apply knowledge to solve practical problems.
There are multiple reasons contributing to children’s difficulties in learning geometric figures. Geometric knowledge is highly abstract. Compared with the algebraic knowledge they have previously learned, the learning methods and thinking patterns differ significantly. It requires children to transform from intuitive numerical operation thinking to spatial imagination and graphic reasoning thinking, which is no easy task for primary school students in the stage of thinking development. In addition, during the teaching process, some teachers overly emphasize the memorization and application of formulas while neglecting in-depth explanations of graphic concepts and the cultivation of students’ spatial thinking. As a result, children’s understanding of geometric figures remains on the surface, and they fail to truly grasp the essence of the knowledge.
With in-depth research on Singapore primary school mathematics education and rich teaching experience, Sino-bus has keenly “the confusion of math geometry” plaguing children and launched the “Geometry Reinforcement Course”, committed to helping children resolve their confusion and cultivate strong spatial thinking abilities.
This course makes full use of advanced 3D modeling technology and virtual teaching aids to present originally abstract and difficult-to-understand geometric figures to children in an intuitive and three-dimensional manner. For example, when explaining the derivation of the cylinder volume formula, a 3D animation vividly demonstrates the process of cutting a cylinder into several small sectors and then reassembling them into a cuboid. This allows children to clearly see the connection between the cylinder and the cuboid and deeply understand the origin of the cylinder volume formula. This intuitive display method greatly reduces the difficulty of understanding knowledge, enabling children to more easily master the related concepts and principles of geometric figures.
In classroom teaching, teachers at Sino-bus attach great importance to guiding children to engage in hands-on operations. The course offers a variety of practical activities, such as having children make geometric models like cuboids, cubes, cylinders, and cones. Through operations such as cutting, folding, and assembling, children can personally experience the structure and characteristics of the figures. Children are also encouraged to use their creativity to design unique geometric works, combining the knowledge they have learned with artistic creation. These practical activities not only enhance children’s perceptual understanding of figures but also cultivate their hands-on abilities and innovative thinking.
At the same time, the course closely integrates with the landmark buildings and urban landscapes of Singapore, exploring the geometric elements contained within. For example, using the unique durian-shaped structure of the Esplanade – Theatres on the Bay as a case, the calculation of the surface area of irregular solid figures is explained. Taking the three-tower structure of Marina Bay Sands as material, the combination and application of basic figures such as cuboids and cubes are analyzed. While appreciating the beauty of the architecture, children learn geometric knowledge and feel the close connection between mathematics and life.
In addition, Sino-bus provides students with an exclusive geometric figure question bank. The question bank is rich and diverse, covering various types of questions for basic consolidation, expansion and improvement, and thinking challenges. Each child can choose suitable exercises for targeted training according to their own learning progress and ability level. Through a large number of exercises, children can continuously consolidate the knowledge they have learned, improve their problem-solving abilities, and break through “the confusion of math geometry”.
After studying the “Geometry Reinforcement Course” at Sino-bus, children’s spatial thinking abilities have been significantly improved. They can not only easily understand complex geometric concepts and skillfully use formulas for calculation but also keenly discover the application of geometric figures in real life. They have truly achieved the transformation from “learning geometry” to “applying geometry” and have also achieved excellent results in exams related to geometric figures.
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