---
title: "Japan Math Education — Hatsumon, Structured Problem-Solving, Soroban"
description: "How Japan teaches mathematics: the hatsumon (problem-posing) method, structured whole-class problem solving (jugyo kenkyu), the soroban abacus, and Japan's 万 and 億 counting system."
url: "https://worldcalculators.org/learning/math/japan-math-education/"
canonical: "https://worldcalculators.org/learning/math/japan-math-education/"
---

# Japan Math Education

How Japan teaches mathematics: the hatsumon (problem-posing) method, structured whole-class problem solving (jugyo kenkyu), the soroban abacus, and Japan's 万 and 億 counting system.

## Quick answer

Japan's signature technique is hatsumon (発問): teachers pose one carefully designed problem at the start of the lesson, let students struggle, then lead a class discussion that builds the mathematical principle together. This is the opposite of "teach method, then practise." Japan also uses the 万/億 number system (no word for "million"), the soroban abacus tradition, and jugyo kenkyu (lesson study) for teacher development — a system now copied worldwide.

## Hatsumon — Problem-Posing

Hatsumon (発問, "posing a question") is the central technique in Japanese math lessons. Rather than explaining a method and then practising it, the teacher:
This approach produces students who can think through unfamiliar problems — not just reproduce practised procedures. It is more time-intensive per concept, but builds deeper understanding.

## Jugyo Kenkyu — Lesson Study

Japan's teacher development system ( jugyo kenkyu, 授業研究 — "lesson study" ) has been exported worldwide. Teachers collaborate to plan, teach, observe, and refine a single lesson over weeks. One teacher teaches a public "research lesson" while colleagues and often outside observers watch silently. The detailed post-lesson discussion improves practice across the entire school — and sometimes across Japan via published lesson study reports.

## The 万 and 億 Number System

Japanese groups large numbers in units of 万 (10,000) and 億 (100,000,000). There is no Japanese word for "million" — it is expressed as 百万 (hyaku-man, "100 × 10,000"). Japan's national budget is discussed in 兆円 (chō-en — trillion yen).

Source: https://worldcalculators.org/learning/math/japan-math-education/
Markdown mirror of the HTML page. Prefer this URL for RAG; the interactive calculator still lives on the HTML page.