Школьное исследование в области математики под надзором
International Baccalaureate · IB Diploma · Mathematics: Applications and Interpretation · HL Тема 6 1:12 Английское озвучивание · Английский + китайские субтитры (встроенные)
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These are selected topics, not the whole syllabus, and every example is fictional.
这些是精选主题，不是完整大纲，所有例子都是虚构的。
An exploration needs a focused question, honest data and mathematics you can explain.
探究需要聚焦的问题、真实的数据和你能解释的数学。
A student wants to predict queue waiting time in the canteen.
一名学生想预测食堂排队时间。
Start with a focused question and measurable variables.
先提出聚焦的问题和可测量的变量。
Collect data with consent.
经同意后收集数据。
Build a model and explain it in your own words.
建立模型并用自己的话解释。
Compare predictions with observations, then refine the model.
把预测与观测比较，再改进模型。
Keep a dated record of every decision.
每个决定都记录日期。
A pilot records waits of 3, 5 and 7 minutes with 10, 20 and 30 people ahead.
试点记录：前面有 10、20、30 人时，平均等候 3、5、7 分钟。
A first model is t hat equals 1 plus 0.2 n.
初步模型 t̂ = 1 + 0.2n。
At 25 people it predicts 6 minutes, but the actual wait was 8: a residual of 2.
25 人时预测 6 分钟，实际等了 8 分钟：残差 2。
Do not hide the mismatch; investigate it, for example a slower service rate at busy times.
不要隐藏这个差异；要去探究，比如高峰时段服务变慢。
Check yourself.
自我检测。
A mismatch is something to investigate, never to hide.
模型与数据不符时要去探究，绝不能隐藏。
With 25 people ahead the model predicts 6 minutes.
前面有 25 人时，模型预测等待 6 分钟。
Data collected from people needs their consent first.
从人那里收集数据，先要征得同意。