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Put mathematics back into everyday life

Thirty-six lessons created separately for children, using concrete everyday problems to build mathematical thinking, logical judgment, and independent learning.

Preface

Mathematics is a way to solve problems, not a score

The essence of learning is learning how to teach yourself.

It is not mechanical repetition or memorizing definitions and formulas. It begins with finding the structure of knowledge, seeing its patterns, forming a method, and testing understanding through practice.

These lessons begin with concrete life problems: budgeting a meal, checking a receipt, sharing a pizza, comparing discounts, or planning a day. Every idea must first answer one question: what real problem does it help us solve?

Mathematics should be a usable tool, not decoration for a report card. We care whether a child can understand a problem, explain the method, and use it in a new situation—not only about a temporary score.

The sequence is: real problem → independent thinking → pattern → method → practical test.

We value usefulness over scores, understanding over memory, and the gradual ability to learn and solve problems independently.

36 lessons

Six units, thirty-six everyday problems

Each lesson opens separately with a real-life situation, differentiated tasks, mathematical reasoning, answers, and at-home practice.

01

Unit 1 · Number sense and estimation

Number sense and estimation

02

Unit 2 · Measurement and space

Measurement and space

03

Unit 3 · Ratio and change

Ratio and change

04

Unit 4 · Conditions and reasoning

Conditions and reasoning

19

Practical math and logic

厨房物品怎样分类

这里有12件厨房用品。哪些可以加热?哪些可以重复使用?如果一件东西两种都可以,它应该放在哪里?
  • 集合
  • 分类标准
  • 交集
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20

Practical math and logic

如果下雨就带伞

规则说:“如果下雨,就要带伞。”看到一个人带着伞,能不能肯定正在下雨?请找出下面哪些说法一定对,哪些不一定。
  • 充分条件
  • 必要信息
  • 逆命题
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21

Practical math and logic

谁说了真话

红、蓝、绿三个盒子里,只有一个藏着球。甲说在红盒,乙说在蓝盒,丙说不在红盒。三句话里正好有两句是真的,球在哪个盒子里?
  • 命题
  • 否定
  • 排除法
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22

Practical math and logic

活动怎样排不冲突

有A、B、C、D四项活动要安排:A要在B前面,C不能和B同时进行,D要在15:30以后。你能排出一张没有冲突的时间表吗?
  • 时间区间
  • 先后约束
  • 冲突
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23

Practical math and logic

怎样走得最省

从起点到终点有好几条路,每一段路的长度都不一样。哪条路线最短?如果其中一条路封了,应该改走哪条?
  • 图
  • 节点
  • 边
  • 最短路径
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24

Practical math and logic

取石子游戏的必胜策略

桌上有10颗石子,两个人轮流拿,每次只能拿1颗或2颗,拿到最后一颗的人赢。你先拿,怎样才能保证自己赢?
  • 逆向推理
  • 不变量
  • 策略
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05

Unit 5 · Data and probability

Data and probability

06

Unit 6 · Planning and decisions

Planning and decisions

31

Practical math and logic

一天旅行预算

两个人出去玩一天,最多花500元,还要先留出50元备用。交通、吃饭和活动各能花多少?请做一张不超钱的花钱计划。
  • 预算
  • 分类
  • 加减
  • 预备金
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32

Practical math and logic

菜单怎样兼顾条件

从8道菜里选一顿饭:三类食物都要有,至少有1份蔬菜,总价不能超过30元。你会怎么搭配?
  • 约束
  • 组合
  • 营养数据
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33

Practical math and logic

野餐物资够不够

18个人去野餐。水、纸杯和水果要准备多少才够?家里已经有一些,商店又只能整包买。怎样买才不浪费,还能做到每10份多准备1份?
  • 人均量
  • 包装取整
  • 库存
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34

Practical math and logic

哪条队伍更快

你面前有两条队。A队4个人,每人大约2分钟;B队6个人,每人大约1分钟。你会排哪一队?如果有人买很多东西,答案会变吗?
  • 服务时间
  • 平均值
  • 波动
  • 模型
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35

Practical math and logic

安全撤离路线

活动室着火时,大家要走到安全出口。哪条路又快又安全?如果这条路走不了,备用路线应该怎么走?
  • 路线
  • 时间
  • 容量
  • 冗余
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36

Practical math and logic

设计一次家庭旅行

请给4个人安排一天旅行:上午9点出发,下午6点结束,最多花800元,至少去2个地方,中午吃饭1小时,还要留80元备用。你能做出一份真的走得通的计划吗?
  • 建模
  • 证据
  • 权衡
  • 复盘
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