万双网讯  在教育的广阔天地中，前沿的教育理念与革新的教学方法如同璀璨的星辰，不断交织碰撞，为孩子们的成长之路点亮了新的灯塔。项目式学习（PBL）作为万科双语学校“让学生体验真实而严谨的学习”这一教学理念的核心，始终渗透于日常的教学活动之中。这种学习模式将孩子们的学习过程嵌入到真实且富有意义的情境之中，鼓励学生通过独立探索和团队协作来解决问题，从而在解决问题的过程中自然地吸收知识，培养解决问题的能力，并全面提升个人综合素质。在这个充满活力的学期里，万科双语学校的五年级学子们投身于一场意义非凡的PBL项目——“我的社团活动空间，我做主”，这不仅是一次学习的探索，更是一次自我管理和创新思维的实践。

In the vast world of education, cutting-edge educational philosophies and innovative teaching methods are like brilliant stars, constantly intertwining and colliding, lighting up new beacons on the road to children’s growth. Project-Based Learning, as the core of Vanke Bilingual School’s teaching philosophy of "allowing students to experience authentic and rigorous learning," is deeply embedded in the daily teaching activities. This learning model immerses children’s learning processes in real, meaningful contexts, encouraging students to solve problems through independent exploration and teamwork. In doing so, they naturally absorb knowledge, cultivate problem-solving abilities, and enhance their overall competencies.In this vibrant semester, Vanke Bilingual School’s fifth-grade students embarked on a meaningful PBL project — "My Club Activity Space, I Decide" — which was not only an exploration of learning but also a practice of self-management and innovative thinking.

学期伊始，随着新学期我校社团活动的热闹开场，五年级孩子们的热情也被点燃了。可由于活动场地有限，有些社团在同一间教室里开展活动，活动时彼此会有一定的影响。为了解决这一问题，给社团活动安排更合适的活动空间，五年级数学组的老师们巧妙地把本学期所学的数学知识和解决社团活动场地紧密结合，将“多边形的面积”和“组合图形面积”等抽象的数学知识转化为解决实际问题的有力工具，引导孩子们在探究“如何合理设置社团活动场地”的过程中感受数学的神奇魅力。

At the beginning of the semester, as the school’s club activities kicked off with excitement, the enthusiasm of the fifth-grade students was also ignited. However, due to limited activity spaces, some clubs had to share classrooms, leading to some interference between activities. To solve this problem and provide more suitable spaces for the club activities, the fifth-grade mathematics teachers cleverly integrated the mathematical knowledge taught this semester with the solution of the club activity space issue. They turned abstract mathematical concepts such as "the area of polygons" and "the area of composite shapes" into powerful tools for solving real-world problems, guiding students to experience the magic of mathematics while exploring how to reasonably set up club activity spaces.

项目启动之初，孩子们面临了一项挑战：如何选择合适的区域并准确计算出面积。他们需要思考哪些信息是计算面积时不可或缺的，并依据每人约需要3平方米的标准来估算所需空间。这一复杂问题不仅考验了孩子们的数学知识，更让他们深刻认识到数学在解决实际问题中的关键作用。

At the start of the project, the students were faced with a challenge that was how to choose an appropriate area and accurately calculate its size. They needed to consider which pieces of information were essential when calculating area and estimate the required space based on the standard of approximately 3 square meters per person. This complex issue not only tested the students' mathematical knowledge but also made them deeply realize the key role mathematics plays in solving real-world problems.

随后，各班孩子们分组行动，开始实地测量，探讨如何提高测量结果的准确性。这一过程宛如一堂生动的实践课，不仅锻炼了孩子们的动手能力，还培养了他们的数感。通过对比不同小组的数据，孩子们学会了如何评估数据的可靠性和准确性，真切领略到了真实且严谨学习过程的精髓所在。

Subsequently, the students were divided into groups, went out to measure, and discussed how to improve the accuracy of their measurements. This process was like a lively hands-on lesson, not only honing the students' practical skills but also developing their number sense. By comparing the data from different groups, the students learned how to assess the reliability and accuracy of the data, truly understanding the essence of an authentic and rigorous learning process.

在计算面积和设计布局阶段，孩子们先自主学习了平面图形面积的计算方法，并灵活运用三角形、平行四边形和梯形面积计算的方法，巧妙解决了如何计算不规则图形面积这一难题。他们在设计时综合考虑了场地特点、社团活动所需空间以及人数与场地大小的关系，充分展现了出色的空间想象力和问题解决能力。

During the area calculation and layout design phase, the students first learned how to calculate the areas of planar shapes and flexibly applied the methods for calculating the areas of triangles, parallelograms, and trapezoids. They cleverly solved the problem of calculating the area of irregular shapes. In their design, they comprehensively considered the characteristics of the space, the required space for club activities, and the relationship between the number of people and the size of the space, fully demonstrating their excellent spatial imagination and problem-solving abilities.

进入制作模型环节，孩子们利用轻质粘土和硬纸板等材料，精心设计了自己的社团活动空间模型。这一过程不仅锻炼了他们的动手能力，培养了空间观念，还深化了对设计理念的理解。

In the model-making phase, the students used lightweight clay and cardboard to carefully design models of their club activity spaces. This process not only exercised their hands-on abilities and cultivated their spatial awareness but also deepened their understanding of design concepts.

在最终的成果展示环节，从各班级展示评选出的最突出的10组代表参与年级展示。孩子们自信满满地阐述了自己的设计思路和所运用到的数学知识。这不仅锻炼了他们的表达能力，还增强了自信心。同学们之间的互动和提问让展示更加生动有趣，同时也增强了班级的凝聚力和团队合作精神。

In the final presentation phase, the 10 outstanding groups selected from each class participated in a grade-level exhibition. The students confidently explained their design ideas and the mathematical knowledge they had applied. This not only developed their presentation skills but also boosted their confidence. The interactions and questions between classmates made the presentation more vivid and interesting, while also enhancing class cohesion and teamwork spirit.

同学们在评价和反思中提到：通过此次PBL项目式学习，我们学会了计算梯形、三角形和平形四边形的面积，计算不规则图形的面积；在探究的过程中，我们学会如何高效合作；我们明白了，合理分工可以提高效率；我们懂得了在解决实际问题的过程中，遇到困难，不要轻易放弃，要想办法解决它。

In the evaluation and reflection, students mentioned "Through this PBL project-based learning, we learned how to calculate the areas of trapezoids, triangles, and parallelograms, and how to calculate the area of irregular shapes. During the exploration process, we learned how to cooperate efficiently. We understood that reasonable division of labor improves efficiency. We learned that when faced with difficulties in solving real problems, we should not give up easily but find ways to solve them."

在落实我校“培养学生卓越的学习力”这一目标上，五年级数学组的老师以PBL项目式学习为抓手，以2024年新课标改革的指导，努力探索。坚持“用PBL的学习方法解决真问题”，让学生得到全面的发展，进而实现“让孩子站在未来中央”办学理念。本次数学PBL项目通过将数学知识与社团活动相结合，成功激发了学生的兴趣和参与热情。学生们在采用小组合作学习的方式，开展测量、计算、设计和展示等一系列活动，这一实践过程不仅让他们掌握了多边形及组合图形面积计算的方法，而且在实践能力、表达能力、应用意识、创新意识和团队合作等方面得到了显著提升。学校也借此机会更深入地了解了孩子们的需求和想法，为未来社团活动的开展提供了参考。

In line with the school’s goal of "cultivating students' excellent learning abilities," the fifth-grade mathematics teachers have used PBL projects as a tool, guided by the 2024 new curriculum reforms, and have actively explored new approaches. They insist on "using PBL learning methods to solve real problems," enabling students to develop comprehensively, thus realizing the school’s philosophy of "Let our children experience the future." This mathematics PBL project successfully sparked students’ interest and enthusiasm by integrating mathematical knowledge with club activities. Through group cooperation learning, students engaged in activities such as measurement, calculation, design, and presentation. This practical process not only helped them master methods for calculating the area of polygons and composite shapes but also significantly improved their practical abilities, communication skills, application awareness, creativity, and teamwork. The school also gained a deeper understanding of the students’ needs and ideas, providing valuable insights for the future development of club activities.

资料提供/ 吴琼

翻译/ 焦阳

排版/ 马葳