1, mathematical trace is a form of activity. In activities, participants usually find and solve related mathematical problems by observing, measuring and calculating around a specific mathematical theme or problem. For example, walking around parks or streets in cities, we can learn and solve related geometric and surveying problems by observing the shape, length and area of streets.
2. Mathematical trace is also a teaching resource. It combines mathematical knowledge with real life environment, making mathematical knowledge more vivid and concrete. Learning and applying mathematics knowledge in real situations can help students better understand and master mathematics knowledge, and improve their learning interest and learning effect.
3. Math trails can also cultivate students' mathematical thinking and problem-solving ability. In the activity of mathematical trace, students need to use mathematical knowledge to solve practical problems and challenges, which can exercise their mathematical thinking and problem-solving ability. At the same time, by participating in activities with other students, students' teamwork and communication skills can also be cultivated.
Mathematical knowledge used in mathematical experiments;
1, length and distance: In the trail, we may need to measure the length or distance of some places. For example, we need to know the perimeter of the park, or the distance from home to school and so on. This requires knowledge of measurement and calculation of length and distance.
2. Speed and time: Some places may require us to calculate speed or time. For example, we need to calculate how long it will take us to complete this journey, or we want to go somewhere within a certain period of time. This involves the calculation knowledge of speed and time.
3. Angle and trigonometric function: In the trail, we may need to measure the angle or use trigonometric function. For example, we need to know the angle of this hillside or the height of this building and so on. This involves the measurement of angles and the knowledge of trigonometric functions.
4. Geometry: In the trail, we may encounter various shapes and structures, such as circles, ellipses and rectangles. We may need to know the characteristics and properties of these shapes and structures. For example, the formulas for the circumference and area of a circle are C=2πr and S=πr? The formulas for the perimeter and area of an ellipse are c = 2π b+4π/b, S=πab, etc. This involves knowledge of geometry.