📚 Year 11 CAIE Sociology: Formula & Theorem Quick-Reference Guide | 11年级CAIE社会学：公式定理速查手册
Welcome to your essential quick-reference guide for CAIE IGCSE Sociology. Just as Mathematics uses formulas to solve problems, Sociology uses key concepts, theoretical 'theorems', and research equations to understand society. This handbook condenses Year 11 topics into memorable 'formulas' and 'theorems' that capture the essence of sociological thinking.
欢迎使用这份CAIE IGCSE社会学必备速查手册。正如数学使用公式解题，社会学运用关键概念、理论“定理”和研究方程来理解社会。本手册将11年级社会学内容浓缩为易记的“公式”和“定理”，捕捉社会学思想的精髓。
1. The Formula of Socialisation: Nature vs. Nurture | 社会化的“公式”：先天与后天
ion (Family) + Secondary Socialisation (School, Peer group, Media, Workplace). This lifelong process transmits culture across generations.
社会化 = 初级社会化（家庭） + 次级社会化（学校、同辈群体、媒体、工作场所）。这一终身过程将文化代代相传。
Key debate: Nature (biological instincts) vs Nurture (social learning). Sociologists stress that nurture shapes human behaviour through agents of socialisation.
核心辩论：先天（生物本能）与后天（社会学习）。社会学家强调后天通过社会化机构塑造人类行为。
Feral children cases (e.g., Genie) support nurture – without social interaction, children cannot develop language or norms.
野孩案例（如吉妮）支持后天观点——缺乏社会互动，儿童无法发展语言或规范。
Human Behaviour = Biological Potential × Social Environment (Nurture is dominant)
2. Structural Theorems: Functionalism and Marxism | 结构“定理”：功能主义与马克思主义
g functions to maintain social stability (organic analogy). Value consensus = social glue.
功能主义定理：社会是由相互依赖的部分组成的系统，每个部分执行功能以维持社会稳定（有机体类比）。价值共识 = 社会粘合剂。
Durkheim: Social facts exist outside individuals and constrain behaviour. Anomie occurs when norms break down.
涂尔干：社会事实存在于个体之外并约束行为。当规范崩溃时出现失范。
Parsons' GAIL model: Goal attainment, Adaptation, Integration, Latency – functioning subsystems of society.
帕森斯的GAIL模型：目标达成、适应、整合、维持模式——社会的功能子系统。
Marxism Theorem: Economic base (infrastructure) determines superstructure (institutions, ideology). Class conflict between bourgeoisie and proletariat drives historical change.
马克思主义定理：经济基础（基础设施）决定上层建筑（制度、意识形态）。资产阶级与无产阶级之间的阶级冲突推动历史变迁。
Base (Means of Production) → Superstructure (Family, Education, Religion)
False class consciousness – the proletariat fails to recognise its exploitation, accepting ruling-class ideology.
虚假阶级意识——无产阶级未能认识到其受剥削，接受了统治阶级的意识形态。
3. The Interactionist Equation: Labelling and the Self | 互动论方程：标签化与自我
sm focuses on micro-level interactions and meanings. Self-identity = social mirror (Cooley's looking-glass self).
互动论关注微观层面的互动与意义。自我认同 = 社会之镜（库利的镜中我）。
Labelling Theorem: Becker – Deviance is not the quality of an act but the label applied by powerful groups. Once labelled, an individual may adopt a deviant master status.
标签理论：贝克尔——偏差不是行为本身的特性，而是有权群体所贴的标签。一旦被标签，个体可能接受偏差的主身份。
Deviance = Act + Social Reaction (Label) → Self-fulfilling Prophecy
y deviance (organised deviance after labelling). The process deepens the deviant identity.
莱默特：初级偏差（轻微行为） → 次级偏差（被标签后有组织的偏差）。这一过程加深了偏差身份认同。
4. Stratification Calculus: Class, Status and Power | 分层微积分：阶级、地位与权力
Weber' economic position (market situation); Status = social honour; Party = political influence.
韦伯的多维公式：社会分层 = f(阶级、地位、政党)。阶级 = 经济地位（市场情况）；地位 = 社会荣誉；政党 = 政治影响。
Marx: Class determined by relationship to means of production. Bourgeoisie own capital; Proletariat sell labour. Class inequality leads to exploitation.
马克思：阶级由与生产资料的关系决定。资产阶级拥有资本；无产阶级出卖劳动力。阶级不平等导致剥削。
Functionalist Davis & Moore: Inequality is functional – it ensures most talented fill most important positions (role allocation).
功能主义戴维斯与摩尔：不平等具有功能——确保最有才能者占据最重要位置（角色分配）。
Life Chances ∝ Socio-economic Status (Health, Education, Housing)
Gender shapes stratification too: Feminists argue patriarchy means women face systematic inequality in wealth, power and status.
性别也塑造分层：女性主义者认为父权制使得女性在财富、权力和地位方面面临系统性不平等。
5. The Family Algorithm: Universal Functions | 家庭算法：普遍性功能
Murdock's Theorem: Nuclear family is universal and performs 4 essential functions: Sexual (regulation), Reproductive, Economic (subsistence) and Educational (socialisation).
默多克定理：核心家庭是普遍的，执行四种基本功能：性（规范）、生殖、经济（生计）和教育（社会化）。
Parsons: Family has two irreducible functions – primary socialisation of children and stabilisation of adult personalities (warm bath theory).
帕森斯：家庭有两个不可简化的功能——儿童的初级社会化和成年人个性的稳定（暖浴理论）。
Feminist critique: The family reproduces patriarchal ideology. Oakley – the symmetrical family is a myth; women still carry dual burden (paid work and housework).
女性主义批判：家庭再生产父权意识形态。奥克利——对称家庭是一个神话；女性仍承担双重负担（有薪工作和家务）。
Extended + Lone-parent + Reconstituted + Same-sex (challenges the universal nuclear model)
6. Education Meritocracy: The Input-Output Model | 教育精英统治的输入输出模型
atic selection where ability + effort → success. It transmits culture and allocates roles.
功能主义定理：教育提供精英主义选拔，能力 + 努力 → 成功。它传递文化并分配角色。
Marxist counter-formula: Education reproduces class inequality. Correspondence principle (Bowles & Gintis): school mirrors workplace hierarchy to prepare obedient workers.
马克思主义反公式：教育再生产阶级不平等。对应原则（鲍尔斯与金蒂斯）：学校反映工作场所等级制度，以培养顺从的劳动者。
Willis' study: Working-class 'lads' form anti-school subculture, leading themselves into working-class jobs (resistance and reproduction).
威利斯研究：工人阶级“小子”形成反学校亚文化，将自己导向工人阶级工作（抵抗与再生产）。
Educational Achievement = Material Capital + Cultural Capital (Bourdieu)
7. Deviance Dynamics: Strain and Control Formulas | 偏差动力学：紧张与控制公式
Durkheim: Crime is normal and functional – it reinforces boundaries and can promote social change. Anomie = normlessness.
涂尔干：犯罪是正常的、功能性的——它强化界限，并能促进社会变迁。失范 = 无规范状态。
Merton's Strain Theory: Anomie arises when cultural goals (wealth) are emphasised but legitimate means are blocked. 5 adaptations: Conformity, Innovation, Ritualism, Retreatism, Rebellion.
默顿的紧张理论：当文化目标（财富）被强调但合法手段受阻时，出现失范。五种适应方式：遵从、创新、仪式主义、退却主义、反抗。
Strain = Cultural Goals ÷ Legitimate
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