📚 AQA Psychology Year 9 Formula & Theorem Quick-Reference Handbook | AQA 心理学九年级公式定理速查手册
This handbook brings together the essential principles, laws, and effects you will encounter in Year 9 AQA Psychology. While psychology is not a subject filled with mathematical formulas, it is built on robust empirical 'laws of behaviour' that describe how people think, remember, and act. Use this guide to revise key concepts, classic experiments, and the theoretical shortcuts that help us understand the human mind. Each entry is presented with a clear definition, supporting evidence, and real-world relevance.
这本手册汇集了你在 AQA 九年级心理学课程中将会遇到的核心原理、定律和效应。虽然心理学不是一门充满数学公式的学科，但它建立在一系列坚实的“行为法则”之上，用以描述人类的思维、记忆和行动。请使用这本指南来复习关键概念、经典实验以及帮助我们理解人类心智的理论捷径。每个条目都配有清晰的定义、支持性证据和实际应用。
1. Miller's Law (The Magical Number 7 ± 2) | 米勒定律（神奇数字7±2）
George Miller (1956) proposed that the capacity of short-term memory is limited to about seven items, plus or minus two. This means most people can hold between five and nine chunks of information in their immediate memory at any one time. Chunking is the process of grouping separate bits of data into larger, meaningful units, which effectively expands the amount we can remember. This law is foundational to understanding why phone numbers, passwords, and to-do lists are structured in short, manageable groups.
乔治·米勒（1956）提出，短时记忆的容量限制在大约 七个项目，加减两个。这意味着大多数人一次最多能在即时记忆中保留五到九个信息组块。组块化是将零散的数据点组合成更大、更有意义单元的过程，这能有效地扩展我们能够记住的信息量。这一原理是理解电话号码、密码和待办事项列表为何被设计成简短且易于管理的组块的基础。
2. The Serial Position Effect (Primacy and Recency) | 序列位置效应（首因效应与近因效应）
When recalling a list of words, people tend to remember the first items and the last items best, while forgetting those in the middle. The tendency to recall the beginning of a list is called the primacy effect, and it occurs because those items have been rehearsed and transferred into long-term memory. The tendency to recall the final items is called the recency effect, as those words are still held in short-term memory. This effect was demonstrated in the classic study by Murdock (1962) and is a key concept in the multi-store model of memory.
在回忆一个单词列表时，人们往往对最前面和最后面的项目记忆最清晰，而中间的项目则更容易被忘记。回忆列表开头的倾向被称为 首因效应，这是因为这些项目经过复述已转入长时记忆。回忆最后几个项目的倾向被称为 近因效应，因为这些词语仍然保存在短时记忆中。默多克（1962）的经典研究证实了这一效应，它也是记忆多存储模型中的一个核心概念。
3. Ebbinghaus' Forgetting Curve | 艾宾浩斯遗忘曲线
Hermann Ebbinghaus (1885) plotted the rate at which memory for newly learned nonsense syllables decays over time. His famous forgetting curve shows that memory loss is steepest during the first hour after learning, and then gradually levels off. The curve demonstrates that without active rehearsal or review, we lose about 50% of newly encoded information within a day. This principle underpins modern revision techniques such as spaced repetition and retrieval practice.
赫尔曼·艾宾浩斯（1885）描绘了新学的无意义音节随时间遗忘的速率。他著名的 遗忘曲线 表明，记忆的衰减在学习后的第一个小时内最为急剧，随后逐渐趋于平缓。该曲线证明，如果没有主动复述或复习，我们会在一天之内遗忘大约 50% 的新编码信息。这一原理是现代间隔重复和检索练习等复习方法的基础。
4. Yerkes-Dodson Law (Optimal Arousal) | 耶克斯–多德森定律（最佳唤醒水平）
The Yerkes-Dodson Law states that performance increases with physiological or mental arousal, but only up to a point. When arousal becomes too high, performance decreases. The law forms an inverted-U shaped curve. Furthermore, the optimal level of arousal depends on the difficulty of the task: easier tasks require a higher level of arousal for peak performance, while harder tasks benefit from a lower level of arousal. This law helps explain exam anxiety and why a little stress can be motivating, but too much stress impairs thinking.
耶克斯–多德森定律指出，表现会随着生理或心理唤醒度的提高而上升，但仅限于一定范围。当唤醒度过高时，表现反而下降。这一定律形成了一个倒 U 型曲线。此外，最佳唤醒水平取决于任务的难度：简单的任务需要较高的唤醒度才能达到最佳表现，而困难的任务则在较低的唤醒度下表现更好。这一定律有助于解释考试焦虑，以及为什么适度的压力可以带来动力，而过度的压力则会损害思维。
5. Social Facilitation and Social Inhibition | 社会助长与社会抑制
Social facilitation occurs when the presence of other people improves an individual's performance on a well-rehearsed or simple task. In contrast, social inhibition happens when the presence of an audience impairs performance on a complex or new task. This distinction was explained by Zajonc (1965), who argued that the presence of others increases arousal, which strengthens the dominant response. If the dominant response is correct (simple task), performance improves; if it is incorrect (difficult task), performance suffers.
社会助长是指他人在场能够提高个人在熟练或简单任务上的表现。相反，社会抑制则是指观众在场会损害个体在复杂或新任务上的表现。扎伊翁茨（1965）对这一区别做出了解释，他认为他人在场会提高唤醒水平，从而加强优势反应。如果优势反应是正确的（简单任务），表现就会提升；如果优势反应是错误的（困难任务），表现就会受损。
6. Bystander Effect (Diffusion of Responsibility) | 旁观者效应（责任扩散）
The bystander effect is a social psychological principle stating that individuals are less likely to offer help to a victim when other people are present. The more bystanders there are, the less responsible any single person feels; this is known as diffusion of responsibility. The tragic case of Kitty Genovese (1964) spurred research by Latané and Darley, who demonstrated that the likelihood of intervention drops sharply as group size increases. In an emergency, a single witness is far more likely to help than a group of five.
旁观者效应是一项社会心理学原理，指当有其他人在场时，个体向受害者提供帮助的可能性会降低。旁观者人数越多，每个个体感受到的责任感就越少；这被称为 责任扩散。吉诺维斯（1964）的悲剧性案件推动了拉塔内和达利的实验研究，他们证明，随着群体规模的增大，干预的可能性急剧下降。在紧急情况下，一名单独的目击者提供帮助的可能性远远高于一个五人小组。
7. Asch's Conformity Effect | 阿希从众效应
Solomon Asch (1951) conducted a line-judgment experiment to study conformity. Participants were placed in a group with confederates who deliberately gave wrong answers about the length of lines. Asch found that about 75% of participants conformed to the incorrect majority at least once, and the overall conformity rate was around 37%. Two key factors influencing this effect are group size (conformity increases with group size up to about four members) and unanimity (if one other person breaks the consensus, conformity drops dramatically).
所罗门·阿希（1951）进行了一项线段判断实验来研究从众现象。参与者被安排与一群事先串通好的假被试者一起，后者故意对线段的长度给出错误答案。阿希发现，约 75% 的参与者至少有一次遵从了错误的多数意见，整体从众率约为 37%。影响这一效应的两个关键因素是 群体规模（规模增大，从众行为增加，但上限约为四人）和 群体一致性（只要另有一人打破共识，从众率就会显著下降）。
8. Agency Theory and Obedience (Milgram) | 代理人状态理论与服从（米尔格拉姆）
Stanley Milgram (1963) investigated obedience to authority in a notorious experiment where participants were ordered to administer increasingly severe electric shocks to a 'learner'. A staggering 65% of participants continued to the maximum 450-volt level. Milgram proposed the agency theory, which suggests that people shift from an autonomous state to an agentic state when they perceive themselves as acting on behalf of a legitimate authority figure. In the agentic state, individuals feel diminished personal responsibility and are more likely to commit harmful acts.
斯坦利·米尔格拉姆（1963）在一个备受争议的实验中探究了对权威的服从，参与者被要求对一名“学习者”施加越来越强的电击。令人震惊的是，65% 的参与者一直继续到了 450 伏的最高水平。米尔格拉姆提出了 代理人状态理论，认为当个体将自己视为在代表合法的权威人物行事时，会从自主状态转换到 代理人状态。在代理人状态下，个体感受到的个人责任感降低，从而更有可能做出有害的行为。
9. Piaget's Stages of Cognitive Development | 皮亚杰认知发展阶段
Jean Piaget proposed that children's thinking progresses through four fixed stages. The sensorimotor stage (0–2 years) involves learning through senses and actions, with the development of object permanence around 8 months. The preoperational stage (2–7 years) is characterised by egocentrism and symbolic play, but a lack of conservation. The concrete operational stage (7–11 years) brings logical thinking about concrete events and mastery of conservation. Finally, the formal operational stage (11+ years) allows abstract and hypothetical reasoning.
让·皮亚杰提出，儿童的思维发展会依次经历四个固定不变的阶段。感知运动阶段（0–2 岁）通过感官和动作进行学习，并在 8 个月左右发展出客体永久性。前运算阶段（2–7 岁）的特点是自我中心主义和象征性游戏，但缺乏守恒能力。具体运算阶段（7–11 岁）带来了对具体事件的逻辑思维和对守恒概念的掌握。最后是 形式运算阶段（11 岁以上），这使得抽象和假设性的推理成为可能。
10. Thorndike's Law of Effect | 桑代克的效果律
Edward Thorndike (1898) formulated the law of effect based on puzzle box experiments with cats. The law states that behaviours followed by satisfying consequences are stamped in and become more likely to be repeated, while behaviours followed by unpleasant consequences are stamped out and become less likely. This principle became the bedrock of operant conditioning and directly influenced B. F. Skinner's later work on reinforcement and punishment. It explains how trial-and-error learning and habitual behaviours are formed.
爱德华·桑代克（1898）根据对猫进行的谜箱实验，提出了 效果律。该定律指出，带来满意结果的行为会被 印刻下来，变得更可能被重复；而带来不愉快结果的行为则会被 消除，变得更不可能出现。这一原理成为了 操作性条件作用 的基石，并直接影响了斯金纳后续关于强化和惩罚的研究。它解释了试误学习和习惯行为是如何形成的。
11. Festinger's Cognitive Dissonance Theory | 费斯廷格的认知失调理论
Leon Festinger (1957) proposed that people experience cognitive dissonance when they hold two or more contradictory beliefs, values, or attitudes simultaneously. This mental discomfort motivates individuals to reduce the inconsistency, often by changing one of the beliefs or justifying their behaviour. A classic demonstration involved participants who were paid $1 or $20 to lie about a boring task; those paid only $1 experienced greater dissonance and subsequently reported that the task was actually more enjoyable, because they lacked sufficient external justification.
莱昂·费斯廷格（1957）提出，当个体同时持有两个或更多相互矛盾的信念、价值观或态度时，会产生 认知失调。这种心理上的不适会驱使人们去减少这种不一致，通常通过改变其中一个信念或为自己的行为进行辩护来实现。一个经典的实验演示是，付给参与者 1 美元或 20 美元让他们对一个枯燥的任务撒谎；那些只拿到 1 美元的人体验到了更强的失调感，并随后报告说那个任务实际上更有趣，因为他们缺乏足够的外部理由。
12. Fundamental Attribution Error (Correspondence Bias) | 基本归因错误（对应偏差）
The fundamental attribution error describes our tendency to overemphasise dispositional (personality-based) explanations for other people's behaviour, while underestimating situational factors. For instance, if someone cuts us off in traffic, we quickly label them 'aggressive' or 'rude', ignoring the possibility that they might be rushing to a hospital. Yet when we make the same mistake, we fully recognise the situational pressures on ourselves. This bias, identified by Ross (1977), is central to understanding how we form impressions and why clashes in perspective arise so easily.
基本归因错误描述了我们倾向于过分强调用性格因素来解释他人行为，而低估情境因素的倾向。例如，如果有人开车时抢了我们的道，我们会立刻给他们贴上“好斗”或“粗鲁”的标签，而忽略他们可能正赶往医院的可能性。然而当我们自己犯同样的错误时，却能充分认识到自己所面临的情境压力。这一由罗斯（1977）所证实的偏差，对于理解我们如何形成印象以及为何观点冲突如此容易产生至关重要。
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