At the A1 level, you only need to know that '数学' (sūgaku) means 'math'. You might use it to say you like or dislike the subject in school. It's a basic noun. You don't need to worry about complex branches of math yet. Just remember that it's a school subject you study after elementary school. In elementary school, it's called 'sansū', but 'sūgaku' is the word for the big, serious subject. You can use it in simple sentences like 'I study math' or 'Math is hard'. It's one of the first academic subjects you'll learn the name for in Japanese. Focus on the pronunciation: 'soo-gah-koo' with a long 'oo'.
At the A2 level, you should be able to use '数学' in sentences about your daily life or school experience. You can describe your ability using 'tokui' (good at) or 'nigate' (bad at). You should also start to recognize the difference between 'sūgaku' and 'sansū'. You might use it to talk about your schedule, like 'I have a math test on Tuesday'. You can also use it with basic verbs like 'benkyō suru' (to study) or 'oshieru' (to teach). At this level, you are building the foundation to talk about your education and interests more clearly. You might also see it in simple news headlines about education.
At the B1 level, you can use '数学' to discuss more abstract concepts. You might talk about why math is important for certain jobs, like engineering or programming. You can use compound words like 'sūgaku no sensei' (math teacher) or 'sūgaku no mondai' (math problem). You should be comfortable using 'sūgaku' in both formal and informal settings. You can explain your opinions about the subject, such as whether you think it's necessary for everyone to learn advanced math. You will also encounter it in more varied reading materials, including short articles about science or technology. Your understanding of the word should now include its role as a logical discipline.
At the B2 level, you can use '数学' in professional and academic discussions. You should be familiar with related terms like 'tōkei' (statistics) or 'kikagaku' (geometry). You can discuss the application of math in various fields, such as 'sūgaku-teki na bunseki' (mathematical analysis). You are expected to understand the nuance of the word in complex texts, such as editorials or academic introductions. You can participate in debates about educational policy regarding math curriculum. Your vocabulary should also include more advanced compounds like 'sūgaku-sha' (mathematician) and 'sūgaku-teki kinōhō' (mathematical induction).
At the C1 level, you have a deep understanding of '数学' as both a subject and a conceptual framework. You can use it to discuss high-level theoretical concepts and their philosophical implications. You can read and understand academic papers that use 'sūgaku' in the context of research. You are aware of the historical context of mathematics in Japan, including 'Wasan'. You can use the word with precision in professional presentations, discussing 'sūri-model' (mathematical models) or 'sūchi-kaiseki' (numerical analysis). Your command of the language allows you to appreciate the elegance of mathematical proofs described in Japanese.
At the C2 level, your mastery of '数学' is equivalent to that of a highly educated native speaker. You can engage in complex academic discourse about the most advanced branches of mathematics. You understand the subtle nuances of the word in literature, philosophy, and high-level scientific research. You can use 'sūgaku' to describe abstract logical structures in any field, from linguistics to theoretical physics. You are comfortable with all technical compounds and can explain the most difficult mathematical concepts in Japanese. The word is no longer just a label for a subject, but a versatile tool for describing the fundamental logic of reality.

数学 in 30 Seconds

  • 数学 (Sūgaku) is the Japanese word for mathematics, used for secondary and higher education levels, distinct from elementary arithmetic.
  • It consists of two kanji: 数 (number) and 学 (study), literally meaning the study of numbers and logical structures.
  • Commonly used in school contexts, professional STEM fields, and to describe logical or precise thinking processes in daily life.
  • Essential for careers in engineering, data science, and finance, and highly valued in the Japanese educational system for university entrance.

The term 数学 (Sūgaku) represents the formal academic discipline of mathematics. In the Japanese linguistic landscape, it specifically refers to the study of numbers, structures, space, and change as taught from junior high school through university and beyond. Unlike the term sansū (算数), which is reserved for elementary school arithmetic, sūgaku encompasses higher-level logic, including algebra, geometry, calculus, and statistics. It is the bedrock of modern technology, engineering, and scientific inquiry in Japan.

Academic Scope
Includes theoretical and applied fields like linear algebra, topology, and number theory.
Linguistic Nuance
Carries a more rigorous and intellectual connotation than basic calculation.
Social Perception
Often viewed as a challenging but essential subject for career advancement in STEM fields.

"私は大学で数学を専攻しています。" (I am majoring in mathematics at university.)

To understand 数学, one must look at its components: 数 (Sū) meaning 'number' or 'count', and 学 (Gaku) meaning 'study' or 'learning'. Together, they literally translate to 'the study of numbers'. However, in a modern context, it implies the rigorous application of logic and proof. Students in Japan begin using this term in the 7th grade, marking a transition from simple calculation to abstract reasoning. This transition is a significant milestone in the Japanese education system, often accompanied by increased complexity in problem-solving and the introduction of variables.

"数学の公式を覚えるのは大変です。" (Memorizing math formulas is difficult.)

Furthermore, 数学 is not just about numbers; it's about the language of the universe. It provides the tools necessary to describe physical phenomena, economic trends, and even the patterns found in nature. In Japanese culture, there is a historical tradition of 'Wasan' (Japanese mathematics), but the modern term 数学 primarily refers to the Western-style mathematics adopted during the Meiji Restoration. This shift allowed Japan to rapidly industrialize and compete on a global scale in science and technology.

"人工知能の開発には高度な数学の知識が必要です。" (Developing artificial intelligence requires advanced knowledge of mathematics.)

Educational Level
Junior High School, High School, and University level math.
Professional Context
Used by engineers, data scientists, and researchers.

"彼は数学の天才と呼ばれています。" (He is called a mathematical genius.)

"この問題は数学的に証明されています。" (This problem has been mathematically proven.)

Using 数学 correctly involves understanding its role as a formal noun. It is most commonly used as the subject or object of a sentence regarding education, professional expertise, or logical reasoning. Because it is a formal term, it is rarely used for simple tasks like splitting a bill at a restaurant (where keisan or kanjo would be more appropriate). Instead, use sūgaku when discussing the subject as a whole or when referring to complex calculations that require academic knowledge.

Verb Pairings
数学を勉強する (to study math), 数学を解く (to solve math), 数学を教える (to teach math).
Adjectival Use
数学的な (mathematical), 数学的な思考 (mathematical thinking).

"明日の数学の試験のために徹夜しました。" (I stayed up all night for tomorrow's math exam.)

When describing someone's ability, you can say sūgaku ga tokui (good at math) or sūgaku ga nigate (bad at math). In professional settings, 数学 is often combined with other nouns to create compound terms like sūgaku-model (mathematical model) or sūgaku-sha (mathematician). It is important to note that in the Japanese school system, the transition from sansū to sūgaku happens exactly at age 12-13. Using sansū to describe a high schooler's homework would sound childish or even insulting, as it implies the work is too simple.

"その理論は数学の基礎に基づいています。" (That theory is based on the foundations of mathematics.)

In written Japanese, 数学 appears frequently in academic journals, news reports on technology, and educational materials. It is also used metaphorically to describe something that is precise, logical, or predictable. For instance, sūgaku-teki na seimitsusa refers to 'mathematical precision'. If you are a student, you will use this word daily to refer to your classes, textbooks, and teachers. If you are in business, you might use it when discussing data analysis or algorithmic logic.

Common Compounds
数学者 (Mathematician), 数学科 (Mathematics Department), 数学検定 (Math Proficiency Test).

"彼女は数学オリンピックで金メダルを取りました。" (She won a gold medal in the Math Olympiad.)

The most common place to hear 数学 is within the Japanese educational system. From the moment a student enters junior high school, the word becomes a staple of their daily vocabulary. You will hear it in the hallways as students discuss their schedules, in the classroom as teachers introduce new theorems, and at home when parents ask about grades. It is a word that carries the weight of academic pressure and the promise of future success.

"今日の数学の授業、全然わからなかった。" (I didn't understand today's math class at all.)

Beyond the classroom, 数学 is frequently mentioned in the media, especially in documentaries about science, technology, and the lives of famous thinkers. When news outlets report on breakthroughs in artificial intelligence, cryptography, or space exploration, they often highlight the role of sūgaku. You might also hear it in business contexts, particularly in the tech hubs of Tokyo, where engineers discuss the mathematical foundations of their software or the statistical models used for market analysis.

"このアルゴリズムは複雑な数学を用いています。" (This algorithm uses complex mathematics.)

In bookstores across Japan, you will find entire sections dedicated to 数学, ranging from textbooks and study guides to popular science books that aim to make math accessible to the general public. Even in casual conversation among adults, the word might come up when discussing one's past school days or when marveling at the logical structure of a well-designed system. It is a word that evokes a sense of order, logic, and sometimes, for many, a bit of nostalgia or trauma from difficult exams.

Daily Life
Talking about school subjects or children's education.
Professional Life
Data science, engineering, and finance discussions.

"彼は数学的なアプローチで問題を解決した。" (He solved the problem with a mathematical approach.)

One of the most frequent mistakes learners make is confusing 数学 (Sūgaku) with 算数 (Sansū). While both refer to math, they are not interchangeable. Sansū is strictly for elementary school level arithmetic (addition, subtraction, multiplication, division). If you are talking about high school math or the field of mathematics in general, you must use sūgaku. Using sansū in an adult or academic context can sound immature or humorous.

"× 私は大学で算数を勉強しています。" (Incorrect: I am studying elementary arithmetic at university.)

Another common error is the misapplication of the particle after 数学. When saying you are good at math, the correct particle is ga (sūgaku ga tokui). Using o or wa in the wrong context can change the emphasis or make the sentence sound unnatural. Additionally, learners sometimes confuse 数学 with 数字 (Sūji), which means 'digit' or 'number'. While related, sūji refers to the physical symbols (1, 2, 3), whereas sūgaku refers to the discipline itself.

"× この数学を紙に書いてください。" (Incorrect: Please write this 'mathematics' on paper.)

Furthermore, be careful with the pronunciation. The long 'ū' sound in sūgaku is essential. Shortening it to 'sugaku' might make it harder for native speakers to understand immediately, as the rhythm of Japanese relies heavily on vowel length. Lastly, avoid using 数学 when you simply mean 'calculation' or 'the bill'. For those, use keisan (calculation) or o-kaikei (the bill). 数学 is always about the academic or theoretical study.

Vs. 算数 (Sansū)
Elementary level vs. Secondary/Academic level.
Vs. 数字 (Sūji)
The study of math vs. the actual numbers/digits.
Vs. 計算 (Keisan)
The field of study vs. the act of calculating.

To truly master 数学, it is helpful to understand related terms that occupy the same semantic space. The most immediate relative is 算数 (Sansū), which we've discussed as the elementary version. Another important term is 計算 (Keisan), which means 'calculation' or 'computation'. While sūgaku is the subject, keisan is the action of doing the math. You might say, "My sūgaku grade is good, but I often make keisan mistakes."

"計算機を使って答えを出しました。" (I used a calculator to get the answer.)

Then there is 統計 (Tōkei), meaning 'statistics'. This is a specific branch of sūgaku that deals with data collection and analysis. In the business world, tōkei is often used more frequently than the general term sūgaku. Another related word is 幾何学 (Kikagaku), which means 'geometry'. While sūgaku is the umbrella term, kikagaku refers specifically to the study of shapes and space. Similarly, 代数学 (Daisūgaku) refers to algebra.

"彼は統計学の専門家です。" (He is an expert in statistics.)

Lastly, consider 数理 (Sūri), which refers to 'mathematical principles' or 'logic'. This is often used in compound words like sūri-model (mathematical model) or sūri-kagaku (mathematical sciences). While sūgaku is the most common and general term, sūri emphasizes the underlying logic and principles. Understanding these distinctions allows for more precise communication, especially in academic or technical environments in Japan.

算数 (Sansū)
Arithmetic (Elementary School).
計算 (Keisan)
Calculation / Computation.
統計 (Tōkei)
Statistics.

How Formal Is It?

Difficulty Rating

Grammar to Know

Noun + が得意/苦手 (Being good/bad at something)

Noun + を勉強する (To study something)

Noun + の + Noun (Possessive/Attributive)

Noun + に基づいて (Based on something)

Noun + を活かす (To make use of something)

Examples by Level

1

数学が好きです。

I like math.

Basic noun + particle 'ga' + adjective 'suki'.

2

これは数学の本です。

This is a math book.

Noun 'sūgaku' modifying 'hon' with particle 'no'.

3

数学は難しいですか?

Is math difficult?

Topic marker 'wa' + adjective 'muzukashii' in a question.

4

今日、数学のテストがあります。

I have a math test today.

Time + subject + 'ga arimasu' (there is/have).

5

数学を勉強します。

I will study math.

Object 'sūgaku' + particle 'o' + verb 'benkyō shimasu'.

6

数学の先生は優しいです。

The math teacher is kind.

Possessive 'no' + noun 'sensei' + adjective 'yasashii'.

7

数学は面白いです。

Math is interesting.

Topic 'wa' + adjective 'omoshiroi'.

8

毎日数学を練習します。

I practice math every day.

Adverb 'mainichi' + object + verb 'renshū shimasu'.

1

数学が一番得意な科目です。

Math is my best subject.

Superlative 'ichiban' + 'tokui na' (good at) + 'kamoku' (subject).

2

数学の宿題を忘れました。

I forgot my math homework.

Object 'shukudai' + verb 'wasuremashita' (forgot).

3

数学の授業は午後から始まります。

The math class starts in the afternoon.

Subject 'jugyō' + 'gogo kara' (from afternoon) + 'hajimarimasu'.

4

数学の問題を解くのが楽しいです。

Solving math problems is fun.

Verb 'toku' (solve) + nominalizer 'no' + 'ga tanoshii'.

5

彼は数学の天才だと思います。

I think he is a math genius.

Noun 'tensai' + 'to omoimasu' (I think that...).

6

数学のノートを貸してください。

Please lend me your math notebook.

Object 'nōto' + 'kashite kudasai' (please lend).

7

中学校から数学が始まります。

Math starts from junior high school.

Place 'chūgakkō' + 'kara' (from) + 'hajimarimasu'.

8

数学の公式をノートに書きました。

I wrote the math formulas in my notebook.

Object 'kōshiki' (formula) + 'ni' (in/on) + 'kakimashita'.

1

将来、数学を活かした仕事がしたいです。

In the future, I want to do a job that uses math.

Verb 'ikashita' (utilizing) + 'shigoto' (job) + 'shitai' (want to do).

2

数学的な考え方は、論理的な思考を養います。

Mathematical thinking develops logical thought.

Adjective 'sūgaku-teki na' + 'kangaekata' (way of thinking).

3

この問題は数学の基礎が分かれば解けます。

This problem can be solved if you understand the basics of math.

Conditional 'wakareba' (if you understand) + potential 'tokemasu'.

4

数学の美しさに魅了される人が多いです。

Many people are fascinated by the beauty of mathematics.

Noun 'utsukushisa' (beauty) + passive 'miryō sareru'.

5

大学の数学は高校の数学よりずっと難しいです。

University math is much harder than high school math.

Comparison 'A wa B yori' + 'zutto' (much).

6

数学の知識はデータ分析に不可欠です。

Knowledge of math is essential for data analysis.

Noun 'fukaketsu' (indispensable/essential).

7

彼は数学の博士号を持っています。

He has a doctorate in mathematics.

Noun 'hakase-gō' (doctorate degree) + 'motte imasu'.

8

数学の理論を実際の問題に応用します。

Apply mathematical theories to real-world problems.

Noun 'riron' (theory) + 'ni' (to) + 'ōyō shimasu' (apply).

1

数学の抽象的な概念を理解するのは容易ではありません。

Understanding abstract concepts in mathematics is not easy.

Adjective 'chūshō-teki na' (abstract) + 'gainen' (concept).

2

最新の暗号技術は高度な数学に基づいています。

The latest encryption technology is based on advanced mathematics.

Noun 'angō gijutsu' (encryption tech) + 'ni motozuite' (based on).

3

数学の発展が科学技術の進歩を支えてきました。

The development of mathematics has supported the progress of science and technology.

Subject 'hatten' (development) + 'sasaete kita' (has supported).

4

数学的な証明には厳密さが求められます。

Strictness is required for mathematical proofs.

Noun 'shōmei' (proof) + 'genmitsusa' (strictness/rigor).

5

統計学は現代社会において重要な数学の一分野です。

Statistics is an important branch of mathematics in modern society.

Noun 'ichi-bun-ya' (one field/branch).

6

数学の未解決問題に挑戦する数学者たちがいます。

There are mathematicians who challenge unsolved problems in math.

Noun 'mikaiketsu mondai' (unsolved problem).

7

経済学のモデル構築には数学が多用されます。

Mathematics is frequently used in building economic models.

Noun 'tayō sareru' (to be used frequently/extensively).

8

数学の論理は、プログラミングの基礎となっています。

The logic of mathematics forms the basis of programming.

Noun 'ronri' (logic) + 'kiso to natte iru' (forming the basis).

1

数学の普遍性は、文化や言語を超えて共有されます。

The universality of mathematics is shared across cultures and languages.

Noun 'fuhensei' (universality) + 'koete' (transcending).

2

数学的な直感は、長年の研究と経験から生まれます。

Mathematical intuition is born from years of research and experience.

Noun 'chokkan' (intuition) + 'umaremasu' (is born).

3

現代物理学の記述には、非ユークリッド幾何学などの高度な数学が不可欠です。

Advanced mathematics such as non-Euclidean geometry is essential for describing modern physics.

Specific term 'hi-Yūkuriddo kikagaku' (non-Euclidean geometry).

4

数学の美は、その簡潔さと論理的な整合性にあります。

The beauty of mathematics lies in its conciseness and logical consistency.

Noun 'seigōsei' (consistency/coherence).

5

数学のパラドックスは、我々の直感の限界を示唆しています。

Mathematical paradoxes suggest the limits of our intuition.

Noun 'shisa shite iru' (suggesting/implying).

6

数学の歴史を紐解くと、人類の知性の進化が見えてきます。

Unraveling the history of mathematics reveals the evolution of human intelligence.

Verb 'himotoku' (to unravel/read deeply).

7

数学的な厳密性を追求することで、理論の誤りを発見できます。

By pursuing mathematical rigor, one can discover errors in theories.

Verb 'tsuikyū suru' (to pursue/seek).

8

数学は、現象の背後にある秩序を明らかにする道具です。

Mathematics is a tool that clarifies the order behind phenomena.

Noun 'chitsujo' (order) + 'akiraka ni suru' (to clarify).

1

数学の公理系における無矛盾性の証明は、20世紀の数学界における最大の課題の一つでした。

Proving consistency within mathematical axiomatic systems was one of the greatest challenges in 20th-century mathematics.

Technical term 'kōri-kei' (axiomatic system) + 'mu-mujun-sei' (consistency).

2

数学の抽象化は、具体的な事象から本質的な構造を抽出するプロセスです。

Mathematical abstraction is the process of extracting essential structures from concrete events.

Noun 'chūshō-ka' (abstraction) + 'chūshutsu suru' (to extract).

3

数学の言語は、宇宙の物理法則を記述するための最も洗練された手段です。

The language of mathematics is the most sophisticated means for describing the physical laws of the universe.

Adjective 'sairen sareta' (sophisticated/refined).

4

数学的な真理は、経験的な事実に依存しない先験的な性質を持っています。

Mathematical truths have an a priori nature that does not depend on empirical facts.

Philosophical term 'sanken-teki' (a priori).

5

数学の諸分野が相互に連関し合い、巨大な知の体系を構築しています。

Various fields of mathematics are interconnected, constructing a massive system of knowledge.

Verb 'renkan shi-au' (to be interconnected).

6

数学の美学は、しばしば芸術や音楽の構造とも深く共鳴します。

The aesthetics of mathematics often resonate deeply with the structures of art and music.

Verb 'kyōmei suru' (to resonate).

7

数学の形式化は、思考の曖昧さを排除し、極限の明晰さをもたらします。

The formalization of mathematics eliminates ambiguity in thought and brings ultimate clarity.

Noun 'meiseki-sa' (clarity/lucidity).

8

数学の探究は、人間の理性が到達しうる極致の一つと言えるでしょう。

The exploration of mathematics can be said to be one of the pinnacles that human reason can reach.

Noun 'kyokuchi' (pinnacle/culmination).

Common Collocations

数学を専攻する (Major in math)
数学の問題 (Math problem)
数学の公式 (Math formula)
数学的な証明 (Mathematical proof)
数学が得意 (Good at math)
数学の授業 (Math class)
数学の試験 (Math exam)
数学の天才 (Math genius)
数学の基礎 (Basics of math)
数学オリンピック (Math Olympiad)

Often Confused With

数学 vs 算数 (Sansū)

Elementary school level arithmetic vs. secondary/higher level math.

数学 vs 数字 (Sūji)

The actual digits/numbers vs. the study of math.

数学 vs 計算 (Keisan)

The act of calculating vs. the academic field.

Easily Confused

数学 vs

数学 vs

数学 vs

数学 vs

数学 vs

Sentence Patterns

How to Use It

nuance

Sūgaku implies a higher level of abstraction and logic compared to sansū.

formality

It is a standard academic term used in all levels of formality.

Common Mistakes
  • Using 'sansū' for university math.
  • Saying 'sūgaku o jōzu'.
  • Confusing 'sūgaku' with 'sūji'.
  • Shortening the 'ū' sound.
  • Using 'sūgaku' for a restaurant bill.

Tips

Context Matters

Always use 'sūgaku' for high school and above. Using 'sansū' for advanced topics sounds like you're talking to a child. This is a key social distinction in Japan. Even if the math is simple, if the person is an adult, 'sūgaku' is safer.

Long Vowels

The 'ū' in 'sūgaku' is a long vowel (すう). If you say it too short, it might sound like 'sugaku', which isn't a word. Practice saying 'suuu-gaku' to get the rhythm right. Pitch accent is flat (heiban).

Kanji Meaning

The first kanji 数 means 'number' or 'to count'. The second 学 means 'study'. If you see 学 at the end of a word, it usually means it's an academic subject. Examples include 'bungaku' (literature) and 'kagaku' (science).

Particles

Use 'ga' with 'tokui' or 'nigate'. For example: 'Sūgaku ga tokui desu'. This is the most natural way to express ability. Using 'o' in this context is a common mistake for English speakers.

Wasan

Japan has a unique history of math called 'Wasan'. It was developed independently during the Edo period. You might see 'Sangaku' (math tablets) at some shrines. It's a great conversation starter with Japanese people interested in history.

Textbooks

If you want to practice, look for 'sūgaku' textbooks for Japanese junior high students. They are well-structured and use standard terminology. It's a great way to learn both math and Japanese simultaneously. You can find them in most Japanese bookstores.

Humility

Many Japanese people will say 'sūgaku wa nigate desu' (I'm bad at math) even if they are okay at it. It's a common way to be humble. Don't take it too literally unless they seem really stuck. It's a very common social phrase.

Compounds

Learn compounds like 'sūgakusha' (mathematician) and 'sūgakka' (math department). These are very useful for describing people and places. Adding 'teki' makes it an adjective: 'sūgaku-teki' (mathematical). This is very common in formal writing.

Media

Watch Japanese science documentaries or anime like 'Dr. Stone' to hear 'sūgaku' in context. You'll hear it used to explain complex logic and inventions. It helps you get used to the formal tone often associated with the word.

JLPT

While 'sūgaku' itself might not be on every JLPT N5/N4 list, it's a fundamental word for N3 and above. It's essential for the EJU (Examination for Japanese University Admission). Knowing it early gives you a head start on academic Japanese.

Memorize It

Word Origin

Sino-Japanese (Kango)

Cultural Context

Traditional Japanese mathematics developed during the Edo period.

Votive tablets with math problems found in Shinto shrines.

The intense focus on math in after-school tutoring centers.

Practice in Real Life

Real-World Contexts

Conversation Starters

"学生時代、数学は好きでしたか? (Did you like math when you were a student?)"

"数学の面白い雑学を知っていますか? (Do you know any interesting math trivia?)"

"仕事で数学を使う機会はありますか? (Do you have opportunities to use math at work?)"

"数学のテストで最高何点取ったことがありますか? (What's the highest score you've ever gotten on a math test?)"

"数学が得意な人をどう思いますか? (What do you think of people who are good at math?)"

Journal Prompts

今日の数学の授業で学んだことを書いてください。 (Write about what you learned in today's math class.)

なぜ数学が重要だと思うか、自分の意見を書いてください。 (Write your opinion on why you think math is important.)

数学が苦手な理由、または得意な理由を説明してください。 (Explain why you are bad or good at math.)

もし数学がこの世になかったらどうなるか想像してください。 (Imagine what would happen if math didn't exist in this world.)

数学を使って解決したい問題はありますか? (Is there a problem you want to solve using math?)

Frequently Asked Questions

10 questions

Sansū is the term used for elementary school arithmetic (grades 1-6). Sūgaku is used for junior high, high school, and university level mathematics. Sūgaku involves more abstract concepts like algebra and geometry. It is important to use the correct term based on the educational level. Using sansū for a university student would be incorrect.

Yes, it is very common, especially among students and parents. It is also used in professional contexts like engineering and data science. People often talk about being 'good' or 'bad' at sūgaku. It frequently appears in news related to technology and education. It is one of the core subjects everyone knows.

You can say 'Sūgaku ga tokui desu' (数学が得意です). 'Tokui' means you are skilled at something and enjoy it. Alternatively, you can say 'Sūgaku ga dekimasu' for a more neutral tone. If you are exceptionally good, you might be called a 'sūgaku no tensai'. Avoid using 'jōzu' for yourself.

Common jobs include 'sūgakusha' (mathematician), 'enjinia' (engineer), and 'dēta sainteisuto' (data scientist). Many people with math backgrounds also work in 'kin'yū' (finance) or 'hoken' (insurance) as actuaries. Teaching math at a 'gakko' or 'juku' is also a popular career path. Math skills are highly sought after in the Japanese job market.

In casual conversation, some people might use 'masu' (from math), but it's rare. 'Sūgaku' is the standard and most natural word. In some specialized tech contexts, English terms might be used. However, for 99% of situations, use 'sūgaku'. It is a deeply ingrained part of the Japanese vocabulary.

The kanji 数 (sū) has 13 strokes and 学 (gaku) has 8 strokes. They are considered intermediate level kanji. Most learners master them in the first year or two of study. They are very common, so you will get plenty of practice. Just remember the stroke order for 'sū' to make it look balanced.

While there aren't many traditional idioms, phrases like 'sūgaku-teki na seimitsusa' (mathematical precision) are common. People also use 'sūgaku no kabe' (the wall of math) to describe a point where it becomes too hard. It's often used metaphorically for logic. 'Sūgaku-teki ni ari-enai' means 'mathematically impossible'.

It is called 'Sūgaku Kentei' or 'Sūkentei'. It is a national certification exam in Japan that measures math skills. It has different levels, from elementary to university level. Many students take it to improve their resumes or school applications. It is a well-respected qualification in Japan.

You say 'sūgaku no sensei' (数学の先生). If you are referring to them formally in a school directory, it might be 'sūgaku-tantō' (math person-in-charge). Students usually just call them 'sūgaku no sensei'. If they are a professor at a university, 'sūgaku no kyōju' is used.

Japanese nouns do not have grammatical gender. However, there is a stereotype in Japan (as in many places) that math is a 'masculine' subject. This is changing, and many 'rike-jo' (science/math-oriented women) are celebrated. The word itself is completely neutral and used by everyone.

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