📚 Maths Vocabulary & Pronunciation: Oral and Listening Skills for CIE IGCSE Mathematics | CIE IGCSE 数学口语听力备考：数学术语与发音技巧
Although CIE IGCSE Mathematics (0580 / 0980) does not have a spoken or listening exam, being able to pronounce and understand mathematical language in English is essential for effective classroom learning, reading exam questions accurately, and explaining your reasoning. This guide focuses on the correct oral expression of key mathematical concepts — from numbers and operations to algebra, geometry, and statistics — giving you the confidence to listen, speak, and think mathematically in English.
尽管 CIE IGCSE 数学 (0580 / 0980) 没有口语或听力考试，但能够用英语准确发音并理解数学语言，对课堂学习、精准审题以及阐述解题思路至关重要。本指南将聚焦关键数学概念的正确口语表达——涵盖数字、运算、代数、几何与统计——帮助你自信地用英语听、说、思考数学。
1. Why Bother with Maths Pronunciation? | 为什么数学发音很重要？
Many students can solve equations but stumble when asked to read their answer aloud. In an international classroom, your teacher may ask you to explain a solution, and a misread symbol can change the entire meaning. Clear pronunciation also helps you understand spoken instructions, such as 'calculate the circumference' or 'express y in terms of x.' Building this skill early reduces anxiety and improves overall communication in mathematics.
许多学生能解方程，但一被要求读出答案就卡壳。在国际课堂中，老师可能请你解释解题过程，一个读错的符号可能完全改变含义。清晰的发音还能帮助你理解口头指令，例如 'calculate the circumference' 或 'express y in terms of x'。尽早培养这项技能可以减少焦虑，提升数学交流能力。
2. Reading Numbers Correctly | 正确读出数字
Whole numbers are straightforward: 3,456 is 'three thousand, four hundred and fifty-six' (British style uses 'and' before the tens). Decimals: 0.5 is 'zero point five' or 'nought point five'; 3.14 is 'three point one four.' For negatives, say 'negative five' for −5, not 'minus five' (though many say 'minus' casually). Large numbers: 1 000 000 is 'one million'; 1 500 000 can be 'one point five million' or 'one million, five hundred thousand.'
整数的读法很直接：3456 读作 'three thousand, four hundred and fifty-six'（英式在十位前加 'and'）。小数：0.5 读作 'zero point five' 或 'nought point five'；3.14 读作 'three point one four'。负数：−5 应读作 'negative five'，而非 'minus five'（尽管口语中常混用）。大数字：1 000 000 是 'one million'；1 500 000 可读作 'one point five million' 或 'one million, five hundred thousand'。
3. Operations: Add, Subtract, Multiply, Divide | 四则运算的说法
Addition: 3 + 4 = 7 → 'three plus four equals seven' or 'the sum of three and four is seven.'
Subtraction: 9 − 5 = 4 → 'nine minus five equals four' or 'the difference between nine and five is four.'
Multiplication: 6 × 4 = 24 → 'six times four equals twenty-four' or 'six multiplied by four is twenty-four.'
Division: 20 ÷ 4 = 5 → 'twenty divided by four equals five' or 'the quotient of twenty and four is five.'
加法：3 + 4 = 7 → 'three plus four equals seven' 或 'the sum of three and four is seven.'
减法：9 − 5 = 4 → 'nine minus five equals four' 或 'the difference between nine and five is four.'
乘法：6 × 4 = 24 → 'six times four equals twenty-four' 或 'six multiplied by four is twenty-four.'
除法：20 ÷ 4 = 5 → 'twenty divided by four equals five' 或 'the quotient of twenty and four is five.'
4. Fractions, Decimals, Percentages | 分数、小数、百分数
Fractions: ½ is 'one half' or 'a half'; ⅓ is 'one third'; ¼ is 'one quarter' or 'a fourth'; ¾ is 'three quarters.' For improper fractions like ⁵/₂, say 'five over two' or 'five halves.' Mixed numbers: 2½ is 'two and a half.' Decimals: 0.25 is 'zero point two five' or 'nought point two five.' Percentages: 30% is 'thirty percent.' For repeated decimals, say 'zero point three recurring' for 0.3̅.
分数的读法：½ 是 'one half' 或 'a half'；⅓ 是 'one third'；¼ 是 'one quarter' 或 'a fourth'；¾ 是 'three quarters'。假分数如 ⁵/₂ 读作 'five over two' 或 'five halves'。带分数：2½ 是 'two and a half'。小数的读法：0.25 是 'zero point two five' 或 'nought point two five'。百分数：30% 是 'thirty percent'。循环小数如 0.3̅ 读作 'zero point three recurring'。
5. Powers and Roots | 幂与方根
5² → 'five squared' or 'five to the power of two'
5³ → 'five cubed' or 'five to the power of three'
xⁿ → 'x to the power of n' or 'x to the n'
√25 → 'the square root of twenty-five'
∛27 → 'the cube root of twenty-seven'
For higher roots: ∜16 → 'the fourth root of sixteen.'
5² → 'five squared' 或 'five to the power of two'
5³ → 'five cubed' 或 'five to the power of three'
xⁿ → 'x to the power of n' 或 'x to the n'
√25 → 'the square root of twenty-five'
∛27 → 'the cube root of twenty-seven'
更高次方根：∜16 → 'the fourth root of sixteen'。
6. Algebraic Expressions | 代数表达式
Reading algebra aloud requires clarity. 2x is 'two x.' 3x² is 'three x squared' (not 'three x two'). x³ is 'x cubed.' xy is 'x y' — pronounce each variable distinctly. For fractions like (x+1)/2, say 'x plus one over two.' Brackets: (x+3)(x−2) → 'x plus three, times, x minus two.' Avoid ambiguity by using brief pauses.
清晰朗读代数式很重要。2x 读作 'two x'。3x² 读作 'three x squared'（非 'three x two'）。x³ 是 'x cubed'。xy 是 'x y'，需分别读出每个变量。分式如 (x+1)/2 读作 'x plus one over two'。括号表达式：(x+3)(x−2) → 'x plus three, times, x minus two'。用短暂停顿避免歧义。
7. Equations and Inequalities | 方程与不等式
Equation: x + 3 = 7 → 'x plus three equals seven.'
Inequality: x > 5 → 'x is greater than five'; x ≤ 10 → 'x is less than or equal to ten.'
For 'y is directly proportional to x': say 'y is proportional to x' or 'y equals k x.'
'y is inversely proportional to x': 'y is inversely proportional to x' or 'y equals k over x.'
方程：x + 3 = 7 → 'x plus three equals seven.'
不等式：x > 5 → 'x is greater than five'；x ≤ 10 → 'x is less than or equal to ten.'
正比例：'y is proportional to x' 或 'y equals k x.'
反比例：'y is inversely proportional to x' 或 'y equals k over x.'
8. Geometry Terms | 几何术语
Key shapes: triangle, quadrilateral, pentagon, hexagon, circle. 3D: cube, cuboid, sphere, cone, cylinder, prism. Angles: acute, right, obtuse, reflex. Triangles classified by sides: equilateral, isosceles, scalene. By angles: acute-angled, right-angled, obtuse-angled. Circle parts: radius, diameter, chord, arc, sector, segment, tangent, circumference. Say 'angle ABC' as 'angle A B C' — pronouncing the letters individually.
主要图形：triangle、quadrilateral、pentagon、hexagon、circle。立体：cube、cuboid、sphere、cone、cylinder、prism。角度类型：acute（锐角）、right angle（直角）、obtuse（钝角）、reflex（优角）。按边分类的三角形：equilateral（等边）、isosceles（等腰）、scalene（不等边）。按角分类：acute-angled、right-angled、obtuse-angled。圆的部分：半径 radius、直径 diameter、弦 chord、弧 arc、扇形 sector、弓形 segment、切线 tangent、周长 circumference。读 'angle ABC' 时，直接读字母：'angle A B C'。
9. Trigonometry and Angles | 三角与角度
Sine, cosine, tangent are pronounced 'sine', 'co-sine', 'tan-jent.' For sin θ = opposite / hypotenuse, say 'sine theta equals opposite over hypotenuse.' The three ratios: 'S O H, C A H, T O A' — ' opposite over hypotenuse, cosine adjacent over hypotenuse, tangent opposite over adjacent.' Bearings: 045° is 'zero four five degrees.' Elevation / depression: 'angle of elevation', 'angle of depression.'
正弦 sine、余弦 cosine、正切 tangent 的发音分别为 'sine'、'co-sine'、'tan-jent'。sin θ = 对边 / 斜边 读作 'sine theta equals opposite over hypotenuse.' 三个比值的记忆口诀：'S O H, C A H, T O A'。方位角 045° 读作 'zero four five degrees'。仰角和俯角：'angle of elevation', 'angle of depression'。
10. Functions and Graphs | 函数与图像
'f of x' for f(x). 'The graph of y equals f of x.' Transformations: 'translation by vector (a, b)' → 'translation by vector a, b'. Reflection: 'reflection in the x-axis' or 'reflection in the line y equals x'. Enlargement: 'enlargement with scale factor k, centre (0,0).' Gradient: 'rise over run.' Intercept: 'y-intercept', 'x-intercept'. Parabola, hyperbola, exponential — these are pronounced as written.
f(x) 读作 'f of x'。'y equals f of x 的图像'。变换的表达：平移 'translation by vector a, b'；反射 'reflection in the x-axis' 或 'reflection in the line y equals x'；放大 'enlargement with scale factor k, centre (0,0)'。斜率 gradient 可描述为 'rise over run'。截距：'y-intercept', 'x-intercept'。抛物线 parabola、双曲线 hyperbola、指数 exponential 均按拼写发音。
11. Statistics and Probability | 统计与概率
Mean, median, mode are 'mean', 'mee-dee-an', 'mow-d'. Range: 'range'. Quartiles: 'lower quartile', 'upper quartile', 'interquartile range'. Probability: P(A) is 'probability of A'. 'The probability that event A occurs is p.' Dice: singular 'die', plural 'dice'. Tree diagram, Venn diagram, histogram, cumulative frequency curve — all follow standard English pronunciation.
平均数 mean、中位数 median、众数 mode 分别读作 'mean'、'mee-dee-an'、'mow-d'。极差 range。四分位数：'lower quartile'、'upper quartile'；四分位距 'interquartile range'。概率 P(A) 读作 'probability of A'。'The probability that event A occurs is p.' 骰子单数 die，复数 dice。树状图 tree diagram、韦恩图 Venn diagram、直方图 histogram、累积频率曲线 cumulative frequency curve 均按标准英语发音。
12. Command Words You Must Understand | 必须听懂的指令词
Exam questions rely heavily on specific verbs. When your teacher says 'Calculate', 'Evaluate', 'Simplify', 'Factorise', 'Expand', or 'Solve', you must instantly recognise the task. Pronunciations: 'cal-kyu-late', 'ee-val-yu-ate', 'sim-pli-fy', 'fak-tuh-rise' (British), 'ex-pand', 'solv'. 'Estimate' means a rounded answer, 'prove' means a formal logical argument, 'show that' requires working to reach a given result. Practise these aloud so they become second nature.
考题高度依赖特定动词。当老师说到 'Calculate'、'Evaluate'、'Simplify'、'Factorise'、'Expand' 或 'Solve' 时，你必须立即识别任务。发音：'cal-kyu-late', 'ee-val-yu-ate', 'sim-pli-fy', 'fak-tuh-rise' (英式), 'ex-pand', 'solv'。'Estimate' 表示取近似值，'prove' 要求严谨的逻辑论证，'show that' 要求通过计算得到给定结果。多朗读这些指令，使其成为本能反应。
Published by TutorHao | Mathematics Revision Series | aleveler.com
更多咨询请联系16621398022（同微信）
或截图后用「扫一扫 → 相册」选择本图