上海星河湾双语学校G6及G8数学活动,用数学的眼光观察世界
数学与我们的生活密不可分。在上海星河湾双语学校G6和G8的数学活动中,学生通过细心观察身边的事物,对其进行建模和分析,将数学、艺术、生活三者紧密联系在一起,既品味了数学之美,又享受了数学之乐。本次活动全部在线上完成,同学们充分应用网络技术,完成了各项建模分析和演讲讨论,最终的活动成果也各有特色。
G6的数学活动结合了比例和平面坐标系知识,学生通过选取合适的比例尺,将平面建筑区域缩放到绘图纸上,手工绘制了平面地图。有的同学选取了一栋房子,有的同学观察了美丽的校园,还有同学仔细分析了太阳系的某个观察面。
同学们纷纷拿出了直尺、卷尺、手机测距仪等设备进行各种测算。在绘图的基础上,同学们利用平面直角坐标系对区域内的物体进行精确定位,反思了测量产生的误差,比较了目标地点之间的直线距离与路径距离,通过比例尺对家具和楼栋的占地面积进行估算。通过这些数据分析和计算,同学们对于比例尺的掌握更加熟练,对于平面空间的物体抽象和尺度变化有了更深入的了解。
G8的数学活动围绕着生活中的抛物线进行,同学们大开脑洞,选择了兔子耳朵、桥梁建筑、中外艺术品、交响乐器、投射轨迹等各种对象,应用所学的知识思考数学模型与现实生活的联系,进一步探索其中的奥秘。
在计算和数据分析方面,同学们基于函数知识,对若干取点进行计算和拟合,不仅分析了误差产生的原因(包括测量、绘画、拍摄角度、物理和数学计算等方面),还在老师的指导下,通过调整参数、运用合适的工具来减小误差,获得最佳拟合的抛物线解析式。
老师们纷纷为学生的演讲展示效果和创造性思维点赞鼓掌,无论是清晰缜密的分析还是各有千秋的演讲,都是活动展示环节的亮点。
本学期数学教研组精心设计的活动广受欢迎,同学们充满了探究和创作的热情,新颖的展示方式与数学世界的独特魅力碰撞出了绚烂的火花,同学们从中受益良多,尽情享受了数学的乐趣!
G6G8 | To see all in a mathematical way
Math is closely related to our daily lives. In the mathematical activities organized by middle school teachers, the students carefully selected shape and figures from quotidian objects and analyzed them by creating models, linking math, art, and life together,discovering the aesthetics and take pleasure in mathematics. Different from before, the activities are completed online. The students corresponded with the same enthusiasm and engaged themselves in heated discussions, producing meticulous and stylistic works.
G6 | Scales and 2D Map
The activities in grade 6 featured scale and coordinates. The students found the appropriate scales and condensed buildings or regions onto a piece of paper to paint a map. Some chose their own room or house, others used their neighborhood or school, and some went as far as a planet in the solar system.
The students made full use of different type of measuring tools: rulers, tape measures, perambulator apps, and even their own feet. Using the coordinate plane, the students accurately located objects within the region. They also analyzed the causes of deviations, compared the linear distances and path distances between objects, and estimated the size of furniture and buildings using their scale. After these calculations and analyzations, the students were much more familiar with the use of scale, and gained a much more proficient understanding of the abstraction of objects within a coordinate plane.
G8 | Finding Parabolas in Objects
The G8 Project is centered around their understanding of parabolas. Students opened up their imaginations, and found functions in rabbits’ ears, bridges, pieces of art, instruments, and sports. Students used what they learned in class about graphing parabolas to think about the connection between functions and real life, and learned a lot about the beauty within.
For the calculation and analysis part, students used a variety of tools and websites to help them do calculations and put together the functions based on the knowledge gained in class. They not only learned how to analyze the error of the function, but also can draw, measure, and examine the forces of the object. Under guidance from the teachers, students in Grade 8 can adjust the coefficients to ensure the most accurate parabola possible.
As teachers, we were instantly attracted by the creativity of everyone, and everyone’s way of thinking. The easy-to-follow commentary and the varied explanations can show how many surprises can unfold.
This project carefully structured by teachers were very welcomed by students. The new method of teaching can demonstrate the subtle beauty of math. Wish all students can be observers of daily life and enjoy math!
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