UNIT 2.8 · COGNITION
Intelligence and Achievement — AP Psychology Study Notes
Compare intelligence theories, historical IQ calculations, modern scores, test quality and social influences on assessment.

What is Intelligence?
Intelligence is a complex concept that psychologists define as the mental ability to learn from experience, solve problems, and use knowledge to adapt to new situations.
Psychologists have debated for over a century whether intelligence is one general ability or multiple distinct abilities. This debate continues today and has led to various theories and assessment methods.
Understanding intelligence involves not just measuring it, but also recognizing how cultural, environmental, and social factors influence both intelligence development and test performance.
Theories of Intelligence
Spearman's General Intelligence (g Factor)
Spearman’s general intelligence model uses a general factor, g, to account for positive correlations among performance on diverse cognitive tasks, alongside more specific abilities. A statistical factor is not one literal brain organ or proof that every person is equally strong on every task.
Core Idea:
- People who perform well on one type of mental task tend to perform well on other types
- This correlation across different tasks suggests one underlying general ability
- While people have specific abilities (s factors), g is the foundation
- Genetic and environmental influences both contribute to differences in cognitive performance. Stability and heritability depend on the population, age, context and measurement; heritability does not assign a genetic percentage to one person or make ability unchangeable.
Example:
A student who excels in mathematics usually also performs well in verbal reasoning, science, and spatial tasks because they all draw on general intelligence (g).
Gardner's Multiple Intelligences Theory
Gardner’s theory proposes eight commonly described domains of ability. Retain them as a theoretical framework, not eight established independent systems or evidence that teaching should be matched to fixed “learning styles.” The independence and measurement of these domains remain debated.
The Eight Intelligences:
- Linguistic: Mastery of language, writing, and communication (poets, journalists)
- Logical-Mathematical: Logical analysis and mathematical problem-solving (scientists, programmers)
- Spatial: Visualizing and manipulating objects in space (architects, surgeons)
- Musical: Sensitivity to rhythm, pitch, and tone (composers, performers)
- Bodily-Kinesthetic: Control of body movements and handling objects (athletes, dancers)
- Interpersonal: Understanding and interacting with others (counselors, politicians)
- Intrapersonal: Self-awareness of feelings and motivations (philosophers)
- Naturalistic: Recognition of natural elements (biologists, environmentalists)
Key Point:
A brilliant musician might struggle with mathematics, and an exceptional athlete might have average linguistic abilities. Gardner's theory explains why people can be "smart" in different ways.
Sternberg's Triarchic Theory of Intelligence
Robert Sternberg proposed a middle-ground approach, suggesting intelligence consists of three interconnected but distinct abilities.
Three Types of Intelligence:
1. Analytical Intelligence (Academic)
Ability to analyze, evaluate, compare, and solve academic problems. Measured by traditional IQ tests.
2. Creative Intelligence (Innovative)
Ability to invent, discover, imagine, and create novel solutions. Thinking "outside the box."
3. Practical Intelligence (Street Smarts)
Ability to apply knowledge to real-world situations, navigate social systems, and adapt to new environments.
Example:
A student might excel on standardized tests (analytical), design innovative science projects (creative), and know exactly how to persuade teammates to collaborate (practical). Sternberg's theory explains why some people are "book smart" but struggle in real-world situations, or vice versa.
Quick Comparison
Spearman: A general factor plus more specific abilities.
Gardner: A theory proposing eight commonly described domains; their independence and measurement are debated.
Sternberg: A theory emphasizing analytical, creative and practical abilities.
Measuring Intelligence: IQ Tests
History of Intelligence Testing
Binet and Simon: work commissioned in 1904, first scale in 1905
- Developed the first intelligence test to identify French students needing special education
- Introduced the concept of mental age — the age level of mental ability
- Did NOT believe intelligence was fixed or hereditary
- Believed intelligence could be improved through education
Lewis Terman - Stanford-Binet (1916)
- Adapted Binet's test for American children
- Stern proposed an age-ratio intelligence quotient; Terman’s Stanford–Binet revision helped popularize IQ scoring. The ratio approach belongs to the history of testing, not modern age-normed scoring.
- Believed intelligence was largely inherited
- IQ became widely used for educational placement
Original IQ Formula
The original Intelligence Quotient (IQ) was calculated as a ratio:
Example Calculation:
- A 10-year-old performing at the historical 12-year mental-age level: .
- A 10-year-old performing at the historical 10-year mental-age level: .
- A 10-year-old performing at the historical 8-year mental-age level: .
Important: Modern IQ tests no longer use this formula. They now compare performance to age-based norms and use statistical distributions.
Modern Intelligence Tests
Wechsler Scales (Most Widely Used Today)
- WAIS: An adult intelligence-scale family, including the current U.S. WAIS-5; its age range begins at 16 years. Edition and regional norms matter.
- WISC-V: The U.S. child scale covers ages 6 years 0 months through 16 years 11 months.
- WPPSI-IV: The U.S. preschool/primary scale covers ages 2 years 6 months through 7 years 7 months.
Features: Modern editions report overall and domain/index scores using age-based norms. The older verbal-versus-performance split does not describe every current edition’s score structure.
IQ Score Distribution:
Many widely used IQ scales are normed to an approximately normal distribution within an age group, commonly with and . The percentages below are normal-model approximations, not an exact claim about every test or real sample.
- 68% of people score between 85-115
- 95% of people score between 70-130
- 99.7% of people score between 55-145
Psychometric Principles
Three questions about a test
- Standardization
Are administration and scoring procedures consistent? - Reliability
Are scores sufficiently consistent for the intended use? - Validity
Does evidence support the proposed interpretation and use?
Good psychological tests must meet three essential criteria: standardization, reliability, and validity.
Standardization
Standardization means that tests are administered and scored using consistent, uniform procedures for everyone.
Requirements:
- Same instructions for all test-takers
- Same time limits and testing conditions
- Same scoring procedures
- Comparison to norm group (representative sample establishing average performance)
- Regular re-norming to maintain accuracy over time
Reliability
Reliability refers to the consistency of test results — a reliable test yields similar scores when given repeatedly or in different forms.
Types of Reliability:
- Test-Retest Reliability: Same person gets similar scores when taking the test at different times
- Split-Half Reliability: Two equivalent halves of the test yield similar scores (internal consistency)
- Inter-Rater Reliability: Different scorers give the same score to the same test
Validity
Validity means the test actually measures what it claims to measure.
Types of Validity:
- Construct Validity: Test accurately measures the theoretical concept (e.g., intelligence, not just memorization)
- Predictive Validity: Test scores predict future performance or behavior (e.g., IQ predicting academic success)
- Content Validity: Test items comprehensively cover the domain being measured
Key Insight: A test can be reliable (consistent) without being valid (accurate). But a test cannot be valid without also being reliable!
The Flynn Effect
What is the Flynn Effect?
The Flynn effect refers to historical gains on intelligence-test performance across cohorts in many populations, often summarized as roughly three IQ points per decade in parts of the twentieth century. Size and direction vary across countries, cohorts, tests and periods, including plateaus and reversals; it is not a current universal worldwide rate.
Proposed Explanations:
- Better nutrition and healthcare: Improved prenatal and childhood health supports brain development
- More education: Increased years of schooling and educational quality
- Cognitively demanding jobs: Modern work requires more abstract thinking
- Test familiarity: Greater exposure to standardized testing formats
- Smaller families: More parental attention and resources per child
- Environmental complexity: Technology and media increase cognitive stimulation
Important Implication:
The Flynn Effect demonstrates that intelligence is NOT purely genetic or fixed. Environmental and societal factors play a significant role in intellectual development and test performance.
Systemic Issues in Intelligence Testing
Assessment use matters: Intelligence tests have been used historically to restrict educational, employment and immigration opportunities. Evaluate the evidence, norms, accessibility and intended use, and avoid treating an IQ score as a complete measure of a person’s worth, character or future achievement.
Cultural Bias in Testing
Cultural bias occurs when test items reflect the experiences, knowledge, and values of one cultural group more than others, creating unfair advantages or disadvantages.
Sources of Bias:
- Language differences: Tests in dominant language disadvantage non-native speakers
- Cultural experiences: Test items assume specific cultural knowledge or experiences
- Test format familiarity: Some cultures have more exposure to standardized testing
- Values and priorities: Different cultures value different types of knowledge
- Socioeconomic factors: Poverty limits access to educational resources
Example:
A vocabulary question asking about "regatta" (a boat race) assumes familiarity with sailing culture, which is more common in affluent communities. Students from landlocked, low-income areas might miss this question despite having equal intelligence.
Stereotype Threat
Stereotype threat occurs when awareness of negative stereotypes about one's group creates anxiety that impairs test performance, even when the person is fully capable.
How It Works:
- Person becomes aware of negative stereotype about their group
- Fear of confirming the stereotype creates anxiety and stress
- Mental resources are diverted to managing anxiety rather than the test
- Performance decreases, ironically confirming the stereotype
- Reducing evaluative threat can improve performance in some settings, but effects vary and removing one cue does not guarantee elimination of a score difference.
Classic Research Example:
Classic experiments examined whether evaluative framing and stereotype-related cues could affect performance. Interpret effects within the studied design and sample. They do not show that all group differences are caused by a single cue or that any one intervention makes all groups perform identically.
Understanding Group Differences
Interpreting group averages: A score difference does not by itself establish its cause or describe every individual. Educational opportunity, poverty, nutrition, health, discrimination, language and test experience can influence performance. A high within-population heritability estimate cannot establish a genetic explanation for a difference between social groups.
Critical Facts:
- Group distributions overlap: A group average does not describe every member or determine an individual’s score. The extent of within-group variation and between-group differences depends on the sample, measure and context; neither alone establishes a cause.
- Environmental factors explain differences: Socioeconomic status, education quality, healthcare, nutrition, discrimination
- Do not infer causation from a group label: Test-score comparisons alone cannot separate inherited and environmental causes. Broad social categories are not measurements of an individual’s inherited cognitive potential.
- Scores can change: Educational and environmental changes can affect performance. It is too strong to claim that equalizing one set of measured conditions will always eliminate every observed difference.
Achievement vs. Aptitude Tests
Achievement Tests
Measure what you already know or have learned
Purpose:
Assess current knowledge and mastery
Examples:
- AP Psychology Exam
- Final exams
- State achievement tests
- Subject-specific tests
Aptitude Tests
Predict future performance or learning potential
Purpose:
Forecast ability to learn or succeed
Examples:
- SAT (college readiness)
- ACT (college readiness)
- IQ tests
- Career aptitude tests
Key Distinction
Achievement = "What you know NOW" (looking backward at learning)
Aptitude = "What you CAN learn" (looking forward at potential)
Growth vs. Fixed Mindset
Carol Dweck's Mindset Theory
Mindset — beliefs about whether intelligence and abilities are fixed or can change — significantly impacts learning, achievement, and success.
Fixed Mindset
Belief that intelligence is static and unchangeable
Characteristics:
- Avoids challenges
- Gives up easily
- Views effort as fruitless
- Ignores criticism
- Threatened by others' success
Growth Mindset
Belief that intelligence can develop through effort
Characteristics:
- Embraces challenges
- Persists through obstacles
- Views effort as path to mastery
- Learns from criticism
- Inspired by others' success
Achievement: Beliefs about improvement can affect responses to difficulty, but a growth-mindset message does not guarantee higher grades. Effective strategies, feedback, instruction, opportunity and resources also matter; intervention effects differ across settings.
AP Exam Strategy
Multiple Choice Tips
- Know the theories: Spearman (g factor), Gardner (8 intelligences), Sternberg (3 types)
- Recognize the historical age-ratio formula and its limits. Explain that modern IQ scores compare performance with an age-based norm group; they are not calculated by dividing adult mental age by chronological age.
- Understand psychometric principles: Standardization, reliability (test-retest, split-half), validity (construct, predictive)
- Know modern tests: Wechsler scales (WAIS, WISC, WPPSI), Stanford-Binet
- Recognize the Flynn effect as historical cohort changes on test performance, with variation, plateaus and reversals rather than a guaranteed current rate everywhere.
- Understand systemic issues: Cultural bias, stereotype threat, within-group vs. between-group variation
- Distinguish test types: Achievement (what you know) vs. Aptitude (future potential)
Free Response Question (FRQ) Tips
- Compare theories clearly: Explain how Spearman, Gardner, and Sternberg differ in viewing intelligence
- Apply psychometric principles: Show how standardization, reliability, and validity apply to a specific test scenario
- Explain systemic issues: Describe how stereotype threat or cultural bias affects test performance
- Provide concrete examples: For each intelligence type or testing principle, give specific real-world applications
- Connect concepts: Link Flynn Effect to environmental factors; link stereotype threat to group differences
- Use precise terminology: Say "predictive validity" not "the test predicts stuff"
- Distinguish achievement from aptitude: Clearly explain the difference with examples
Quick Review Summary
The Big Picture
Intelligence theories differ in their emphasis on a general factor and multiple abilities. Historical IQ used an age ratio; modern scores use age-based norms. Many scales use mean 100 and standard deviation 15, with approximate normal-model intervals. Standardization, reliability and evidence for valid interpretations are distinct. Environmental opportunity, cultural context and assessment procedures affect scores; group averages do not determine an individual’s potential. Achievement assesses current learning, while aptitude is used to predict later performance. Growth-oriented beliefs can support learning when combined with effective strategies and opportunity.
Essential Concepts
- Intelligence
- g factor (Spearman)
- Multiple intelligences (Gardner)
- Triarchic theory (Sternberg)
- Alfred Binet
- Mental age
- Lewis Terman
- Stanford-Binet
- IQ formula
- Wechsler scales (WAIS, WISC, WPPSI)
- Normal distribution
- Standardization
- Reliability (test-retest, split-half)
- Validity (construct, predictive)
- Flynn Effect
- Cultural bias
- Stereotype threat
- Achievement tests
- Aptitude tests
- Growth mindset
- Fixed mindset
Quick FAQs
Do modern IQ tests divide mental age by chronological age?
No. That is a historical scoring approach. Modern tests use age-based norms and evidence about score reliability and interpretation.
Does a reliable test automatically support a valid interpretation?
No. Scores can be consistent while the proposed interpretation or use is unsupported. Validity requires relevant evidence for the intended purpose.