📚 Formula & Theory Quick Reference Handbook | 公式定理速查手册
Psychology might seem like a subject full of abstract concepts, but many of its most important ideas can be captured in simple formulas, models, and laws. This quick reference handbook brings together the key ‘formulas’ and ‘theorems’ you’ll meet in Year 7 CAIE Psychology—from memory curves to conditioning rules. Use it to revise and check your understanding!
心理学看起来可能充满抽象概念,但许多最重要的思想都可以用简单的公式、模型和定律来概括。这本速查手册汇集了你在七年级 CAIE 心理学中会遇到的关键“公式”与“定理”——从记忆曲线到条件作用的规则。用它来复习和检验你的理解吧!
1. Ebbinghaus Forgetting Curve | 艾宾浩斯遗忘曲线
Hermann Ebbinghaus discovered that forgetting follows a logarithmic pattern. The basic mathematical form is:
R = e^(−t/S)
赫尔曼·艾宾浩斯发现遗忘遵循对数模式。其基本数学形式为保留量 R = e^(−t/S),其中 R 为保持量,t 为学习后的时间,S 为记忆的相对强度。曲线一开始迅速下降,然后逐渐平缓。
In his experiments, Ebbinghaus used nonsense syllables to test retention after intervals ranging from 20 minutes to 31 days. The forgetting curve demonstrates that without reinforcement, memory decays rapidly at first and then levels off.
在实验中,艾宾浩斯使用无意义音节,在20分钟到31天不等的时间间隔后测试保持量。遗忘曲线表明,若不加以强化,记忆先迅速衰退然后趋于稳定。
2. Classical Conditioning Formula | 经典条件作用公式
Classical conditioning can be written as a learning formula: Neutral Stimulus (NS) + Unconditioned Stimulus (US) → Unconditioned Response (UR). After repeated pairings, the NS becomes a Conditioned Stimulus (CS) and elicits a Conditioned Response (CR).
经典条件作用可以写成一条学习公式:中性刺激 (NS) + 非条件刺激 (US) → 非条件反应 (UR)。经过多次配对后,NS 变成条件刺激 (CS),并引发条件反应 (CR)。
For example, in Pavlov’s famous experiment: Bell (NS) + Food (US) → Salivation (UR). Eventually Bell (CS) → Salivation (CR). This shows how a new stimulus can trigger an automatic response.
例如,在巴甫洛夫著名的实验中:铃声 (NS) + 食物 (US) → 唾液分泌 (UR)。最终铃声 (CS) → 唾液分泌 (CR)。这表明一个新刺激可以引发自动反应。
3. Operant Conditioning: Reinforcement and Punishment | 操作性条件作用:强化与惩罚
Operant conditioning describes how behaviour is shaped by consequences. Reinforcement increases the likelihood of a behaviour, while punishment decreases it. Positive means adding a stimulus, negative means removing a stimulus.
Behaviour ↑ (R⁺ or R⁻) ; Behaviour ↓ (P⁺ or P⁻)
操作性条件作用描述行为如何受结果塑造。强化增加行为发生的可能性,惩罚则减少行为。正指增加一个刺激,负指移除一个刺激。强化用 R 表示,惩罚用 P 表示。
Skinner’s box experiments showed that rats learned to press a lever for food (positive reinforcement) or to stop an electric shock (negative reinforcement). Punishment, such as a mild shock after pressing, reduced the lever-pressing behaviour.
斯金纳箱实验显示,大鼠学会按压杠杆获取食物(正强化)或停止电击(负强化)。惩罚,比如按压后给予轻微电击,则减少了按压杠杆的行为。
4. Maslow’s Hierarchy of Needs | 马斯洛需求层次
Maslow’s hierarchy is often drawn as a pyramid with five levels. Lower needs must be at least partially satisfied before higher needs motivate behaviour.
Physiological → Safety → Love/Belonging → Esteem → Self-actualization
马斯洛的需求层次常被画成一个五层金字塔。必须先部分满足较低层次的需求,高层次需求才能激励行为。这五个层次依次为:生理需求、安全需求、爱与归属、尊重、自我实现。
A practical example: a person who is hungry and homeless (physiological) is unlikely to be motivated by creative goals (self-actualization). Once basic needs are met, the next level becomes the primary motivator.
一个实际例子是:一个又饿又无家可归的人(生理需求)不太可能被创造性目标(自我实现)所激励。一旦基本需求得到满足,下一层次就成为主要激励因素。
5. Piaget’s Stages of Cognitive Development | 皮亚杰认知发展阶段
Jean Piaget proposed four distinct stages through which children’s thinking develops. Each stage is associated with a typical age range and key milestones.
让·皮亚杰提出了儿童思维发展的四个不同阶段。每个阶段都有典型的年龄范围和关键里程碑。
Sensorimotor (0–2 years): Infants learn through senses and actions; they develop object permanence. Preoperational (2–7 years): Children use symbols and language but struggle with logical reasoning; they are egocentric. Concrete Operational (7–11 years): Logical thinking about concrete events emerges; children master conservation and classification. Formal Operational (11+ years): Abstract and hypothetical reasoning becomes possible.
感知运动阶段(0–2岁):婴儿通过感觉和动作学习,发展客体永久性。前运算阶段(2–7岁):儿童使用符号和语言,但难以进行逻辑推理,表现出自我中心。具体运算阶段(7–11岁):出现对具体事件的逻辑思维,掌握守恒和分类。形式运算阶段(11岁以上):能够进行抽象和假设推理。
6. The Multi-Store Model of Memory | 记忆的多重储存模型
Atkinson and Shiffrin proposed that memory consists of three stores: sensory memory, short-term memory (STM), and long-term memory (LTM). Information moves between them through attention and rehearsal.
阿特金森和谢夫林提出记忆由三个储存库构成:感觉记忆、短时记忆和长时记忆。信息通过注意和复述在它们之间转移。
Sensory memory → (attention) → STM → (rehearsal) → LTM
感觉记忆通过注意进入短时记忆,短时记忆通过复述进入长时记忆。短时记忆的容量约为 7 ± 2 个项目,持续时间约 18–30 秒。如果没有复述,信息会因衰退或替代而丢失。
For example, when you hear a phone number, it stays in your STM for a few seconds. Rehearsing it mentally transfers it into LTM, but if you are distracted, the number is quickly forgotten.
例如,当你听到一个电话号码,它在短时记忆中保留几秒钟。在心中复述可以将其转入长时记忆,但如果被打断,号码就会很快忘记。
7. Social Identity Theory | 社会认同理论
Tajfel’s Social Identity Theory states that our self-concept is partly derived from the groups we belong to. We categorise people into ‘in-groups’ (us) and ‘out-groups’ (them), which leads to in-group favour
Published by TutorHao | Year 7 Psychology Revision Series | aleveler.com
更多咨询请联系16621398022(同微信)