Year 8 Cambridge Psychology: Formula & Theorem Quick Reference Guide | 剑桥八年级心理学：公式定理速查手册

📚 Year 8 Cambridge Psychology: Formula & Theorem Quick Reference Guide | 剑桥八年级心理学：公式定理速查手册

Understanding psychology is not just about reading theories – it is about grasping the key principles, models, and even simple formulas that explain human behaviour and mental processes. This quick reference handbook gathers the most essential ‘formulas’ and core ideas you will meet in Year 8 Cambridge Psychology, from Yerkes-Dodson law to ethical guidelines, presented in a clear bilingual format to help you revise faster and prepare confidently for assessments.

理解心理学不只是阅读理论，更是要掌握解释人类行为和心理过程的关键原理、模型甚至简单公式。这本速查手册汇集了你在剑桥八年级心理学中将遇到的最重要的“公式”和核心思想，从耶克斯-多德森定律到伦理准则，以清晰的双语对照呈现，帮助你更快复习、自信应考。

1. The Yerkes-Dodson Law | 耶克斯-多德森定律

The Yerkes-Dodson Law describes the relationship between arousal and performance. It proposes that performance improves with moderate levels of arousal, but if arousal becomes too high or too low, performance drops. This creates an inverted-U shaped curve. The law also suggests that for complex or new tasks, optimal arousal is lower, while for simple or well-practised tasks, you can handle higher arousal and still perform well.

耶克斯-多德森定律描述了唤醒水平与表现之间的关系。它认为，适中的唤醒水平会带来最佳表现，但如果唤醒水平过高或过低，表现都会下降，形成一条倒 U 型曲线。该定律还指出，对于复杂或新任务，最佳唤醒水平偏低；而对于简单或熟练的任务，较高的唤醒水平仍然可以维持良好表现。

Performance = f(Arousal) (inverted-U curve)

表现 = f(唤醒水平) （倒U型曲线）

Task Type 任务类型	Optimal Arousal 最佳唤醒水平
Simple / well-learned 简单/已熟练	High 高
Complex / new 复杂/新任务	Low to moderate 低至中等

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2. IQ Formula | 智商计算公式

Intelligence Quotient (IQ) was originally calculated using a straightforward ratio formula developed by William Stern. The formula compares mental age (MA) to chronological age (CA) and multiplies by 100 to eliminate decimals. Although modern IQ tests now use deviation scores, this classic formula remains a useful tool for understanding how IQ tests began and what the score represents conceptually.

智商最初使用威廉·斯特恩提出的简单比率公式进行计算。该公式将智力年龄与实足年龄相除，再乘以 100 以消除小数。尽管现代智商测验已改用离差分数，这个经典公式仍然有助于理解智商测验的起源以及分数在概念上的含义。

IQ = ( Mental Age / Chronological Age ) x 100

智商 =（ 智力年龄 / 实足年龄 ）x 100

For example, if an 8-year-old child performs at the same level as an average 10-year-old, their IQ would be (10/8) x 100 = 125. An IQ of 100 indicates that mental age matches chronological age exactly.

例如，如果一个 8 岁的孩子表现得像一个普通 10 岁孩子，其智商就是 (10/8) x 100 = 125。智商为 100 则表示智力年龄与实足年龄恰好相符。

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3. Atkinson-Shiffrin Memory Model | 阿特金森-谢夫林记忆模型

The multi-store model of memory, proposed by Atkinson and Shiffrin, describes how information flows through three separate memory stores: sensory memory, short-term memory (STM), and long-term memory (LTM). Information must be attended to, rehearsed, and encoded to move from one store to the next. This model is often presented as a structural formula for memory processing.

由阿特金森和谢夫林提出的多储存记忆模型描述了信息如何流经三个独立的记忆储存库：感觉记忆、短时记忆和长时记忆。信息必须经过注意、复述和编码才能从一个储存库转移到下一个。该模型常被看作是记忆加工的结构公式。

Sensory Input → Sensory Memory → (Attention) → STM → (Rehearsal) → LTM

感觉输入 → 感觉记忆 →（注意）→ 短时记忆 →（复述）→ 长时记忆

STM has limited capacity (7 +/- 2 chunks) and duration (about 18-30 seconds without rehearsal), whereas LTM is believed to have unlimited capacity and can store information for a lifetime. Forgetting can occur due to decay or displacement in STM, and due to retrieval failure or interference in LTM.

短时记忆容量有限（7 ± 2 个组块）且保持时间短（不进行复述时约 18–30 秒），而长时记忆被认为容量无限，可永久储存信息。短时记忆中遗忘可能因消退或替代而发生，长时记忆中遗忘则可能源于提取失败或干扰。

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4. Classical Conditioning Principles | 经典条件反射原理

Classical conditioning, discovered by Ivan Pavlov, is a fundamental learning principle. It involves forming an association between a neutral stimulus (NS) and an unconditioned stimulus (UCS) that naturally triggers an unconditioned response (UCR). After repeated pairing, the NS becomes a conditioned stimulus (CS) that elicits a conditioned response (CR). This can be written as a learning formula.

由伊万·巴甫洛夫发现的经典条件反射是一项基本的学习原理。它涉及中性刺激与无条件刺激之间建立联结，后者会自然引发无条件反应。经过反复配对，中性刺激变成条件刺激，能引发条件反应。这可以写成一个学习的公式。

NS + UCS → UCR
(After conditioning) CS → CR

中性刺激 + 无条件刺激 → 无条件反应
（条件作用后） 条件刺激 → 条件反应

Concept 概念	Example (Pavlov’s Dogs) 示例 (巴甫洛夫的狗)
UCS 无条件刺激	Food 食物
UCR 无条件反应	Salivation to food 对食物分泌唾液
NS 中性刺激	Bell (before conditioning) 铃声 (条件作用前)
CS 条件刺激	Bell (after conditioning) 铃声 (条件作用后)
CR 条件反应	Salivation to bell 对铃声分泌唾液

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5. Operant Conditioning Reinforcement Schedules | 操作性条件反射强化程式

Operant conditioning, introduced by B.F. Skinner, explains how the consequences of a behaviour influence its future frequency. Reinforcement increases behaviour, while punishment decreases it. The timing and pattern of reinforcement – known as schedules of reinforcement – strongly shape how quickly a behaviour is learned and how resistant it is to extinction.

操作性条件反射由 B.F. 斯金纳提出，解释了行为的后果如何影响其未来发生的概率。强化会增加行为频率，惩罚则会降低。强化的时机和模式——即强化程式——对行为习得的速度以及抵抗消退的能力有着极大的影响。

Behaviour + Reinforcement → Increased Behaviour
行为 + 强化 → 行为增加

Schedule 程式	Description 描述	Example 示例
Fixed-ratio 固定比率	Reinforcement after a set number of responses 固定反应次数后强化	Piecework pay 按件计酬
Variable-ratio 可变比率	After an unpredictable number of responses 不可预测的反应次数后强化	Slot machines 老虎机
Fixed-interval 固定时距	After a set amount of time 固定时间间隔后强化	Weekly allowance 每周零花钱
Variable-interval 可变时距	After an unpredictable amount of time 不可预测的时间间隔后强化	Checking social media likes 查看社交媒体点赞

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6. Piaget’s Cognitive Development Stages | 皮亚杰认知发展阶段

Jean Piaget’s theory proposes that children move through four universal stages of cognitive development in a fixed sequence. Each stage has a distinct logical structure – a kind of mental ‘formula’ that governs how a child understands the world. Progression happens through assimilation and accommodation, which together drive equilibration.

让·皮亚杰的理论提出，儿童按照固定的顺序经历四个普遍的认知发展阶段。每个阶段都有独特的逻辑结构——一种掌管儿童如何理解世界的心智“公式”。发展通过同化和顺应推进，二者共同驱动平衡化过程。

Stage 阶段	Age Range 大致年龄	Key Features 关键特征
Sensorimotor 感知运动阶段	0-2 years	Object permanence; learning through senses and movement 客体永久性；通过感官和动作学习
Preoperational 前运算阶段	2-7 years	Egocentrism; pretend play; symbolic thinking 自我中心；假装游戏；符号思维
Concrete operational 具体运算阶段	7-11 years	Conservation; logical thinking about concrete events 守恒；对具体事件进行逻辑思考
Formal operational 形式运算阶段	11+ years	Abstract reasoning; hypothetical-deductive thought 抽象推理；假设-演绎思维

Assimilation + Accommodation → Equilibration → New Stage

同化 + 顺应 → 平衡化 → 新阶段

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7. Attachment Theory Key Concepts | 依恋理论核心概念

John Bowlby’s attachment theory states that a strong emotional bond between an infant and a primary caregiver is critical for healthy social and emotional development. Mary Ainsworth expanded this with the ‘Strange Situation’ procedure, identifying distinct attachment styles that can serve as a relational blueprint – almost like a formula for how an individual expects relationships to work.

约翰·鲍尔比的依恋理论指出，婴儿与主要照料者之间的强烈情感纽带对健康的社会和情绪发展至关重要。玛丽·安斯沃思通过“陌生情境”实验进行了扩展，识别出不同的依恋类型，这些类型就像关系蓝图——几乎是个体预期关系如何运作的心灵公式。

Attachment Style 依恋类型	Child’s Behaviour in Strange Situation 陌生情境中儿童行为	Internal Working Model 内部工作模式
Secure 安全型	Uses caregiver as secure base; distressed on separation but easily comforted 将照料者作为安全基地；分离时不安但易被安抚	I am lovable; others are reliable 我是可爱的；他人是可信赖的
Insecure-avoidant 不安全-回避型	Little distress on separation; avoids caregiver on reunion 分离时无明显不安；重聚时回避照料者	I am self-reliant; others will reject me
Insecure-resistant 不安全-抗拒型	Intense distress; clings but resists comfort on reunion 极度不安；重聚时依恋又抗拒安抚	I am anxious; others are inconsistent

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8. Maslow’s Hierarchy of Needs | 马斯洛需求层次

Abraham Maslow proposed that human motivation is structured as a pyramid of needs, often presented as a hierarchical formula. Lower-level physiological and safety needs must be substantially met before an individual is motivated by higher-level needs such as belonging, esteem, and self-actualisation. This framework helps explain why different goals become important at different life stages.

亚伯拉罕·马斯洛提出，人类动机呈金字塔式的需求结构，常被描绘成一个层级公式。只有大致满足低层的生理需求和安全需求后，个体才会被更高层次的需求所激励，如归属感、尊重和自我实现。这一框架有助于解释为什么不同的人生阶段会看重不同的目标。

Motivation sequence: Physiological → Safety → Love/Belonging → Esteem → Self-actualisation

动机序列：生理 → 安全 → 爱与归属 → 尊重 → 自我实现

Self-actualisation represents reaching one’s full potential and is considered a growth need, while the lower four layers are deficiency needs. According to Maslow, very few people consistently achieve self-actualisation, but this top level serves as the ultimate motivational target.

自我实现代表发挥个人全部潜能，被视为成长性需求；而下面四层则是匮乏性需求。马斯洛认为，很少有人能够持续达到自我实现，但这最高层始终是终极的动机目标。

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9. Social Influence: Conformity and Obedience | 社会影响：从众与服从

Social psychology identifies powerful forces that shape how we act in groups. Two key principles are conformity (yielding to group pressure) and obedience (following direct orders from an authority). Classic studies like Asch’s line-judgement experiment and Milgram’s shock experiment demonstrate how situational factors can override personal judgement – almost like a psychological formula where the presence of others changes individual behaviour.

社会心理学指出了一些塑造我们在群体中行为的强大力量。两个关键原则是从众（屈服于群体压力）和服从（遵从权威的直接命令）。阿希的线段判断实验和米尔格拉姆的电击实验等经典研究展示了情境因素如何压倒个人判断——几乎像一套心理公式，他人的存在会改变个体行为。

Social Influence = f(Group Size, Unanimity, Task Difficulty, Authority Status)

社会影响 = f(群体规模, 一致性, 任务难度, 权威地位)

In Asch’s study, conformity peaked when the majority group contained at least three confederates and gave unanimous wrong answers. Milgram found that 65% of participants obeyed an authority figure to deliver the maximum 450-volt shock, although obedience dropped when the authority was physically distant or when other ‘teachers’ refused to continue.

在阿希的实验中，当多数人群体至少有三名同谋且一致给出错误答案时，从众率最高。米尔格拉姆发现，65% 的参与者服从权威指令施加了最高 450 伏电击，不过当权威人物不在现场或有其他“老师”拒绝继续时，服从率有所下降。

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10. Ethical Guidelines in Psychology | 心理学伦理准则

All psychological research involving human or animal participants must follow strict ethical principles. These can be thought of as the ‘safety formulas’ that ensure participants’ well-being is prioritised over the pursuit of knowledge. Key guidelines include informed consent, right to withdraw, confidentiality, protection from harm, and debriefing. Researchers must also justify any deception and minimise distress.

所有涉及人类或动物参与者的心理学研究都必须遵循严格的伦理原则。这些原则可被视为“安全公式”，确保参与者的福祉优先于对知识的追求。主要准则包括知情同意、随时退出权、保密、免受伤害和事后解释。研究者还必须对任何欺骗手段作出合理解释并尽量降低痛苦。

Ethical Research = (Informed Consent + Right to Withdraw + Confidentiality + Protection from Harm + Debriefing) / Deception (justified & minimal)

伦理研究 = ( 知情同意 + 退出权 + 保密 + 免受伤害 + 事后解释 ) / 欺骗 (合理且最小化)

The British Psychological Society (BPS) provides a code of ethics that all UK-based studies must respect. For Year 8 learners, it is important to remember that any experiment designed for a school project must also pass a simple ethical checklist: Will participants be safe? Do they know they can stop? Is their data kept private? If the answer to any of these is ‘no’, the study plan must be revised.

英国心理学会提供了所有英国境内研究必须遵守的伦理准则。对于八年级学生来说，重要的是要记住，任何为学校项目设计的实验都必须通过一份简单的伦理清单：参与者是否安全？他们是否知道自己可以随时退出？他们的数据是否保密？如果其中任何一个问题的答案是“否”，就应修改研究计划。

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