---
title: "China Math Education — Shanghai Method, 万 Counting System, Rote Fluency"
description: "How China teaches mathematics: the Shanghai whole-class mastery method, mandatory rote multiplication tables by age 9, China's 万/亿 number system, and cross-multiplication mental math."
url: "https://worldcalculators.org/learning/math/china-math-education/"
canonical: "https://worldcalculators.org/learning/math/china-math-education/"
---

# China Math Education

How China teaches mathematics: the Shanghai whole-class mastery method, mandatory rote multiplication tables by age 9, China's 万/亿 number system, and cross-multiplication mental math.

## Quick answer

China's approach centres on mastery before moving on. All students in Shanghai learn the same concept at the same pace — no streaming by ability. The 九九乘法表 (multiplication table to 9×9) is memorised by rote chanting by age 9. China counts large numbers in 万 (10,000) and 亿 (100,000,000) — there is no Chinese word for "million." Shanghai students scored highest in PISA 2009, 2012, and Beijing-Shanghai-Jiangsu-Guangdong topped PISA 2018.

## The Shanghai Mastery Method

China's most influential contribution to global math pedagogy is the whole-class mastery model practised in Shanghai schools:
This model was so impressive that the UK government launched a £41 million "Maths Hubs" programme in 2014 to import Shanghai teaching into English primary schools, sending teachers to Shanghai for exchange visits.

## The 万 Number System

Chinese counts large numbers in units of 万 (wàn = 10,000) rather than thousands. This has significant implications for calculations:

## Rote Fluency — The Multiplication Foundation

Before any higher mathematics, Chinese students commit the multiplication table to 9×9 to memory through rhythmic chanting. The traditional form starts from the smallest: 一一得一 (1×1=1), 一二得二 (1×2=2)...
This ensures that by age 9, any single-digit multiplication is instantaneous — freeing working memory for more complex reasoning. When a student faces 47 × 83, they never have to "think" about 7×3 = 21 — it is automatic.

Source: https://worldcalculators.org/learning/math/china-math-education/
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