📚 Case Study Practical Drills | 案例分析实战演练
Engineering is all about solving problems. One of the best ways to learn how engineers think and work is through case studies. A case study takes a real-life problem and walks you through the steps of solving it, from identifying what needs to be fixed to testing a final solution. In this article, you will take part in a practical case study drill where you will design a better pencil case for students. You will follow the engineering design process step by step, making decisions just like a real engineer. This hands-on exercise will help you build the skills needed for your CAIE Year 7 Engineering course and show you how to apply theory to everyday challenges.
工程学的核心就是解决问题。学习工程师思维和工作方式的最佳途径之一就是案例分析。案例分析会选取一个现实生活中的问题，带你经历从发现问题到测试解决方案的完整过程。在本文中，你将参与一项实战演练——为同学们设计一款更好的铅笔盒。你将一步步遵循工程设计流程，像真正的工程师一样做出决策。这个动手练习将帮助你培养CAIE七年级工程课程所需的技能，并教会你如何将理论应用于日常挑战。
1. Understanding the Engineering Design Process | 理解工程设计流程
The engineering design process is a series of steps that engineers use to guide them when creating solutions. For our case study, we will use a simplified version: identify the problem, research, specify requirements, generate ideas, select the best solution, develop the design, build a prototype, test and evaluate, and finally communicate the results. This process is not always linear; you might loop back to earlier steps as new information arises. Understanding each step is crucial before you begin the drill, because it provides a clear roadmap for your thinking and actions.
工程设计流程是工程师在创造解决方案时遵循的一系列步骤。在我们的案例分析中，我们将使用一个简化版本：识别问题、调研、制定规范、产生创意、选择最佳方案、深化设计、制作原型、测试与评估，最后展示成果。这个过程并不总是线性的；随着新信息的出现，你可能会回到前面的步骤。在开始演练之前，理解每一步至关重要，因为它为你的思考和行动提供了清晰的路线图。
Year 7 learners often find this process helpful because it breaks a big, messy problem into manageable chunks. In our pencil case project, you will be guided through each chunk, allowing you to experience firsthand how even simple products go through many iterations before they become the items we use daily. Remember, there is rarely a single right answer in engineering; the value lies in how well you justify your decisions with evidence and logical reasoning.
七年级的学生常常觉得这个过程很有帮助，因为它将一个庞大杂乱的问题分解成了可处理的小块。在我们的铅笔盒项目中，你将一步步体验每个环节，亲眼看到即便是简单的产品，在成为我们日常使用的物品之前，也要经过许多次反复改良。请记住，工程学中几乎不存在唯一的正确答案；真正有价值的是你如何用证据和逻辑推理来证明你的决策。
2. Identifying the Problem: A Real-World Challenge | 识别问题：现实挑战
Every engineering project starts with a problem. For our drill, the problem has been observed in many classrooms: students' pencil cases often break, become too messy, or fail to hold all the items needed for a lesson. Your task is to design a pencil case for students aged 11–13 that is durable, well-organised, and easy to carry. To define the problem clearly, ask yourself: what do students dislike about their current pencil cases? What frustrations do they face daily?
每个工程项目都始于一个问题。在我们的演练中，这个问题在许多课堂上都能观察到：学生的铅笔盒常常破损、变得杂乱无章，或者无法装下上课所需的所有物品。你的任务是为11至13岁的学生设计一款结实耐用、收纳有序且便于携带的铅笔盒。为了清晰地定义问题，问问自己：学生们对现有的铅笔盒有哪些不满？他们每天面临哪些烦恼？
A good problem statement might be: 'Students need a lightweight pencil case that can hold at least 10 writing tools, a ruler, an eraser, and a sharpener, while keeping them organised and protected from damage.' This statement gives direction but does not yet suggest a specific solution. It leaves room for creativity. Write your own problem statement in your notebook before moving on.
一个好的问题陈述可以是：“学生需要一个轻便的铅笔盒，能够容纳至少10支书写工具、一把尺子、一块橡皮和一个卷笔刀，同时保持物品井井有条并防止损坏。”这个陈述指明了方向，但尚未暗示具体的方案，为创意留下了空间。在继续之前，先在你的笔记本上写下你自己的问题陈述。
3. Research and Gathering Information | 调研与信息收集
Before jumping to solutions, engineers gather information. You could survey classmates to learn about their experiences: which pencil cases do they use? What breaks first? How much are they willing to pay? You might also examine existing products in shops or online, noting materials, sizes, and features such as zips, magnets, or compartments. Research helps you understand constraints like cost and available materials in a school clean-up, as well as user preferences.
在急于寻找方案之前，工程师会先收集信息。你可以调查同学，了解他们的使用体验：他们现在用什么样的铅笔盒？什么部位最先损坏？他们愿意花多少钱？你也可以研究商店里或网络上的现有产品，记录材料、尺寸和功能，比如拉链、磁扣或分隔层。调研能帮你理解约束条件，如学校清理活动中的材料成本，以及用户的喜好。
For our drill, imagine you have collected the following data: 60% of students use fabric pouches, which tear easily; 25% use hard plastic cases that crack when dropped; and 15% use metal tins that are heavy. Most students want a pencil case that costs less than £5 and weighs under 200 grams. This data will shape your design specification, so keep it handy.
在我们的演练中，假设你收集到了以下数据：60%的学生使用布艺笔袋，容易撕裂；25%使用硬塑料盒，掉落时容易摔裂；15%使用金属铁盒，太重。大多数学生希望铅笔盒价格低于5英镑，重量低于200克。这些数据将塑造你的设计规范，务必牢记。
4. Developing a Design Specification | 制定设计规范
points might include: must hold at least 10 pens or pencils, must fit inside a standard school bag (approx. 30 cm × 20 cm × 5 cm), must weigh less than 200 g, must cost under £ en and close with one hand. Specifications turn a vague wish into a checklist for success.
设计规范列出了铅笔盒必须满足的标准。利用调研结果，你可以制作一个包含可衡量指标的表格。要点可能包括：至少能装下10支钢笔或铅笔，必须能放入标准书包（约30厘米×20厘米×5厘米），重量低于200克，制造成本低于5英镑，应具备防水性，必须能单手轻松开关。规范把模糊的愿望变成了成功的检查清单。
Below is an example specifications table. Add your own rows as needed. Notice how each criterion is clear and testable. For instance, you can measure weight on a kitchen scale and check capacity by actually putting pens inside. This clarity will help you later when you test your prototype.
以下是一个规范表示例，你可以根据需要添加自己的内容。注意每一条标准都清晰且可测试。例如，你可以用厨房秤测量重量，并通过实际放入笔来检验容量。这种清晰度将帮助你在后续测试原型时做出判断。
| Criterion 标准 | Target 目标 | How to test 测试方法 |
|---|---|---|
| Capacity 容量 | ≥10 writing tools + accessories ≥10件书写工具及配件 | Count items placed inside 放入物品计数 |
| Overall dimensions 外形尺寸 | ≤ 23 cm × 12 cm × 4 cm | Use a ruler 使用尺子 |
| Weight 重量 | < 200 g | Weigh on a scale 用秤称重 |
| Water resistance 防水性 | Splashes must not soak through 溅水不渗透 | Drip water on surface 表面滴水 |
5. Generating Creative Ideas | 产生创意想法
Now the fun part begins: brainstorming. Take a blank sheet and sketch at least three totally different pencil case concepts. Do not judge any ideas yet. Think about shapes like a roll-up mat, a hinged box, a drawstring bag, or a modular system with detachable pockets. Label your sketches with notes on materials and how the case closes. Even wild ideas can spark useful features, so encourage quantity over quality at this stage.
现在有趣的部分开始了：头脑风暴。拿出一张白纸，至少画出三种完全不同的铅笔盒概念图。先不要评判任何想法。考虑卷式笔帘、翻盖盒、束口袋或带可拆卸口袋的模块化系统等形状。在草图上标注材料和盒子的闭合方式。即使是不着边际的想法也可能激发有用的功能，所以在这个阶段要追求数量而非质量。
For example, Concept A could be a rigid tube made of recycled cardboard lined with felt, with elastic bands inside to hold pens. Concept B might be a soft neoprene zip pouch with a clear plastic window for a timetable. Concept C could be a two-part slide case where a hard shell covers a soft inner tray. After generating ideas, you can use a decision matrix to compare them against your specification.
例如，方案A可以是一个由回收纸板制成的硬管，内衬毛毡，并用松紧带固定笔；方案B可以是一个柔软的氯丁橡胶拉链包，带一个展示课表的透明塑料窗；方案C可以是一个两段式滑盖盒，硬壳覆盖柔软的内心托盘。产生想法之后，你可以使用决策矩阵来对照规范进行比较。
6. Selecting the Best Solution | 选择最佳方案
A decision matrix helps you pick the design that meets the specification most effectively. List your ideas in rows and the key criteria in columns. Rate each idea on a scale from 1 (poor) to 5 (excellent). Multiply by weighting factors if some criteria are more important. For our drill, suppose capacity and durability are weighted 2, while the rest are 1. Add up the scores to see which concept wins.
决策矩阵能帮助你挑选出最有效满足规范的设计方案。将你的想法列为行，关键标准列为列。按照1（差）到5（优）的等级对每个想法进行评分。如果某些标准更重要，可以乘以权重因子。在我们的演练中，假设容量和耐用性权重为2，其余为1。把分数加起来，看看哪个方案胜出。
Below is a sample matrix. You might find that the modular slide case ranks highest because it protects pens well and remains slim. Whatever the result, be prepared to justify why you chose that design. If two scores are close, think about ease of making or personal preference, but always tie it back to the user's needs from your research.
下面是一个示例矩阵。你可能会发现模块化滑盖盒得分最高，因为它能很好地保护笔并且保持纤细。无论结果如何，准备好解释为什么选择那个设计。如果两个分数相近，可以考虑制作难度或个人喜好，但务必与调研中提炼的用户需求相关联。
| Concept 方案 | Capacity (×2) 容量 | Weight 重量 | Durability (×2) 耐用性 | Cost 成本 | Total 总分 |
|---|---|---|---|---|---|
| A: Cardboard tube 纸管 | 3 × 2 = 6 | 5 | 2 × 2 = 4 | 5 | 20 |
| B: Neoprene pouch 氯丁橡胶包 | 4 × 2 = 8 | 4 | 3 × 2 = 6 | 3 | 21 |
| C: Slide case 滑盖盒 | 5 × 2 = 10 | 3 | 4 × 2 = 8 | 4 | 25 |
7. Developing the Chosen Idea | 深化选定方案
With the slide case selected, it is time to flesh out the details. Draw a neat, labelled 3D sketch showing the hard outer sleeve and the inner tray. The tray could have dividers made from folded card or plastic sheets to create sections for pens, erasers, and a small drawer for paper clips. Indicate dimensions: the outer sleeve might be 22 cm long, 10 cm wide, and 3 cm tall. The inner tray slides out like a drawer, and a simple magnetic catch prevents accidental opening.
选定滑盖盒之后，就该充实细节了。画一幅整洁的标注三维草图，展示硬质外套筒和内部托盘。托盘可以用折叠卡纸或塑料片制作隔板，分出放笔、橡皮的区域，以及一个放回形针的小抽屉。注明尺寸：外套筒可能长22厘米、宽10厘米、高3厘米。内托盘像抽屉一样滑出，用一个简单的磁吸扣防止意外打开。
and lightweight. The inner tray could use corrugated cardboard covered in waterproof tape. Calculate the approximate cost using a simple formula: total cost = materials + labour. If a binder costs £1 and you need half, that is £0.50. Add £0.30 for magnets and £0.50 for cardboard and tape, giving a material cost of about £1.30, well under the £5 limit.
根据规范选择材料。外套筒可以用硬质回收塑料板（如旧文件夹）制作，既结实又轻便。内托盘可以使用表面覆有防水胶带的瓦楞纸板。利用简单的公式估算成本：总成本 = 材料成本 + 人工。如果一个文件夹价值1英镑，而你只需用一半，那就是0.5英镑。加上磁铁0.3英镑、纸板和胶带0.5英镑，材料成本约1.3英镑，远低于5英镑的上限。
A key engineering calculation at this stage is the volume of the case to ensure it fits the bag. Use the formula for a rectangular prism:
V = l × w × h
= 22 cm, w = 10 cm, h = 3 cm, we get V = 660 cm³. Check against the bag limit of 3000 cm³—plenty of room. Such simple checks keep your design realistic.这个阶段的一项关键工程计算是盒子的体积，以确保能放入书包。使用长方体体积公式：
体积 = 长 × 宽 × 高
代入长22厘米、宽10厘米、高3厘米，得到体积为660立方厘米。对照书包容量3000立方厘米——空间绰绰有余。这类简单的验算能让你的设计切合实际。8. Creating a Prototype | 制作原型
Prototyping turns drawings into a physical model. Since Year 7 students may not have access to advanced tools, you can build a mock-up from readily available materials: cardboard, craft knives (with supervision), glue, and tape. Cut the outer sleeve slightly larger than the inner tray to allow easy sliding. Test the fit several times and trim edges if needed. Remember, a prototype does not have to look perfect—it is meant to test ideas.
原型制作将图纸变成实物模型。由于七年级学生可能无法使用高级工具，你可以用随处可见的材料制作一个模型：卡纸、美工刀（需在监督下使用）、胶水和胶带。将外套筒裁切得比内托盘稍大一点，以便顺畅滑动。反复测试配合度，必要时修剪边缘。记住，原型不必看起来很完美——它是用来检验想法的。
While building, you might discover problems that were not obvious on paper. Perhaps the magnetic catch makes the tray hard to open, or the dividers collapse under the weight of pens. Document these observations in a logbook, because they will inform your testing. A simple note such as 'Divider needs a second layer of card to stay upright' shows reflective engineering practice.
在制作过程中，你可能会发现纸上设计不明显的问题。也许磁吸扣让托盘难以打开，或者隔板在笔的重量下倒塌。把这些观察记录到日志本中，因为它们会为测试环节提供信息。一条简单的记录，例如“隔板需要再加一层卡纸才能立住”，就体现了反思性的工程实践。
9. Testing and Evaluating | 测试与评估
Testing measures how well your prototype meets the specification. Perform each test you planned earlier. Load the case with 10 pens, a ruler, an eraser, and a sharpener: does everything fit? Weigh the prototype on a kitchen scale: does it stay under 200 g? Pour a few drops of water on the outer surface: does it soak through? Record pass or fail for each criterion. If a test fails, think about why and what you could improve.
测试衡量原型满足规范的程度。执行你之前规划的每项测试。往铅笔盒里装入10支笔、一把尺子、一块橡皮和一个卷笔刀：全部能装下吗？用厨房秤称量原型：重量是否低于200克？在外表面滴几滴水：会渗透吗？为每项标准记录通过或失败。如果某项测试失败，思考原因以及可以如何改进。
Evaluation goes beyond ticking boxes. Ask a few classmates to use your prototype for a day and give feedback. You might create a simple survey with questions: 'Did the case protect your pens?', 'Was it easy to open?', 'What would you change?' This user testing gives you qualitative data that numbers alone cannot provide. For instance, even if the case passes all technical tests, a user might find the slide mechanism stiff and annoying.
评估不仅仅是打勾。请几位同学试用你的原型一天，并给出反馈。你可以设计一份简单的问卷，问题包括：“铅笔盒保护好你的笔了吗？”、“打开方便吗？”、“你希望改动哪里？”这种用户测试为你提供了数字无法体现的定性数据。例如，即使铅笔盒通过了所有技术测试，用户也可能觉得滑动机构太紧、使用不便。
10. Presenting Your Case Study | 展示你的案例分析
Communication is a vital part of engineering. To complete your case study, prepare a short report or a poster that tells the story of your design journey. Include your problem statement, research summary, specification, sketches, decision matrix, prototype photos, test results, and user feedback. End with a conclusion that states whether your design solved the problem and suggests two improvements you would make in version two.
沟通是工程学至关重要的部分。为了完成你的案例分析，请准备一份简短报告或一张海报，讲述你的设计历程。内容包括问题陈述、调研总结、规范、草图、决策矩阵、原型照片、测试结果和用户反馈。最后给出结论，说明你的设计是否解决了问题，并提出你对第二版的两项改进建议。
For example, a conclusion might read: 'The slide case met most specifications, but the magnetic catch was too weak. In the next iteration, I would use a stronger magnet and add a rubber grip to the sleeve for easier handling.' This shows critical thinking and a growth mindset. Your teacher will look for evidence of how you applied the design process, not just a perfect final product.
例如，结论可以这样写：“滑盖盒满足了大部分规范，但磁吸扣太弱。在下一版迭代中，我将使用更强的磁铁，并在外套筒上增加橡胶握条以便抓握。”这体现了批判性思维和成长型心态。老师看重的是你如何应用设计流程的证据，而不仅仅是一个完美的最终产品。
Remember that engineers always work in teams and share ideas. Presenting your case study to classmates can spark interesting discussions and help you see your work from new angles. Celebrate both successes and failures, because every step teaches you something valuable. After all, even the best-selling pencil case today started as a rough sketch on a scrap of paper.
请记住，工程师总是团队合作、分享想法。向同学展示你的案例分析会引发有趣的讨论，并帮助你从新角度看待自己的工作。既要庆祝成功，也要庆祝失败，因为每一步都教会你宝贵的东西。毕竟，今天最畅销的铅笔盒，最初也不过是画在废纸上的一张粗糙草图。
Published by TutorHao | Engineering Revision Series | aleveler.com
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