Wayfinder GED — Misconception Database

Complete misconception database across Math, RLA, Science, and Social Studies — real error patterns, not generic wrong-answer categories.

GED MISCONCEPTION DATABASE

Complete Inventory of Common Errors by Subject & Section

Status: Complete misconception inventory for GED module
Date: June 2026
Scope: All subjects (Math, RLA, Science, Social Studies)
Design principle: Observed patterns from actual student work, not theoretical predictions.

PART 1: MATHEMATICS MISCONCEPTIONS

SECTION 1.1: NUMBER & OPERATIONS

MIS-MATH-01: Add numerator and denominator independently - What it is: Student treats fractions as if numerator and denominator are separate objects that get added together. 1/4 + 2/4 = 3/8 (added denominator too). - How to identify: - Solving 1/4 + 2/4, student gets 3/8 (added denominator to result) - Solving 2/3 + 1/3, student gets 3/6 (added denominator) - Pattern: correct numerator, wrong denominator (sum of denominators) - What it indicates: Does not understand that fraction is a single quantity. Sees it as two separate numbers. - Correction approach: - Concrete: Use fraction strips or pie pieces. Add the pieces, count result. Denominators stay same because you’re cutting same-sized pieces. - Explicit: “A fraction is ONE number. 1/4 means ‘one out of four.’ When you add two fourths, you get three fourths. The denominator doesn’t change because you’re still counting fourths.”

MIS-MATH-02: Forgot to find LCD (Least Common Denominator) - What it is: Student attempts to add fractions with different denominators without finding LCD. Uses wrong denominator in result. - How to identify: - Solving 1/3 + 1/6, student gets 2/9 (added numerators as 2, chose wrong denominator 9) - Solving 2/5 + 1/4, student keeps first denominator: 3/5 (correct numerator after converting to LCD, wrong denominator) - Pattern: numerator may be partially correct, denominator is clearly wrong - What it indicates: Does not know LCD algorithm. May not understand why denominators need to match. - Correction approach: - Algorithm-first: Teach LCD algorithm step by step. Do 10 problems where denominators clearly don’t match (3 and 7, 4 and 9) before moving to more complex cases. - Visual: Draw two sets of fraction strips side by side. Show why you need to cut them the same size before adding pieces.

MIS-MATH-03: Reversed subtraction operands - What it is: Student subtracts in wrong order. 5 - 8 = 3 (subtracted 5 from 8 instead of 8 from 5). - How to identify: - Problem: 5 - 8 = ?, student answers 3 (did 8 - 5) - Often appears with fractions: 1/3 - 1/4 student calculates as 1/4 - 1/3 - Pattern: answer magnitude correct, sign/direction wrong - What it indicates: Does not understand order matters in subtraction. May confuse with addition (where order is irrelevant). - Correction approach: - Concrete: Use number line. Mark starting point (5), show moving backward 8 spaces (goes negative). Then mark starting point (8), show moving backward 5 spaces (stays positive). - Explicit: “Subtraction is not reversible. 5 - 8 is NOT the same as 8 - 5. The first number is where you start. The second number is how much you take away.”

MIS-MATH-04: Forgot to reduce fraction to lowest terms - What it is: Student gets correct numerator and denominator but leaves fraction unreduced. 6/8 instead of 3/4. - How to identify: - Problem asks for simplified answer, student gives 6/8, 10/15, etc. - Not an error in method, just incomplete answer - Pattern: both numerator and denominator are even/have common factor - What it indicates: Does not know or remember GCD (Greatest Common Divisor) algorithm. May not understand equivalence. - Correction approach: - Visual: Shade 6/8 of a rectangle and 3/4 of a rectangle. Show they’re identical. - Algorithm: Factor both numerator and denominator. Circle common factors. Divide both by GCD. - Practice: 20 reduction problems before moving on.

MIS-MATH-05: Multiplied instead of dividing when converting percent to decimal - What it is: Student multiplies percent by 100 instead of dividing. 25% = 2500 (did 25 × 100). - How to identify: - Problem: Convert 25% to decimal. Student answers 2500. - Problem: What is 20% of 50? Student calculates as 20 × 50 = 1000 instead of 0.20 × 50 = 10. - Pattern: answer is vastly larger than reasonable - What it indicates: Does not understand that percent means “per hundred.” Confuses direction of conversion. - Correction approach: - Explicit: “Percent means ‘per hundred.’ 25% = 25 per 100 = 25/100 = 0.25. You DIVIDE by 100 to convert percent to decimal. You MULTIPLY by 100 to convert decimal to percent.” - Anchor point: “100% = 1. Always. 50% = 0.5. 25% = 0.25. These are non-negotiable anchors.”

MIS-MATH-06: Incorrect order of operations (did multiplication before addition) - What it is: Student ignores PEMDAS and calculates left to right. 2 + 3 × 4 = 20 (did 2+3=5, then 5×4=20) instead of 14. - How to identify: - Problem: 2 + 3 × 4 = ? Student answers 20. - Problem: 10 - 3 × 2 = ? Student answers 14 (did 10-3=7, then 7×2=14) instead of 4. - Pattern: student calculated left to right instead of respecting order - What it indicates: Does not know PEMDAS or does not apply it consistently. - Correction approach: - Mnemonic: PEMDAS (Parentheses, Exponents, Multiply/Divide, Add/Subtract). - Explicit grouping: Rewrite with parentheses to show which operations go first. 2 + (3 × 4) = 2 + 12 = 14. - Practice: 25 problems alternating operation order before moving on.

MIS-MATH-07: Tried to reduce fraction while adding (reduced before common denominator) - What it is: Student reduces fractions individually before finding LCD. 1/2 + 1/4 student reduces 1/2 to… nothing (already reduced), gets confused. - How to identify: - Problem: 3/6 + 1/4. Student reduces 3/6 to 1/2, then is lost about what to do next. - Pattern: student is working on reducing before establishing common denominator - What it indicates: Does not understand the sequence of operations. Does not know when to reduce. - Correction approach: - Sequence rule: “ALWAYS find the common denominator first. THEN reduce if needed at the end.” - Explicit: “If you reduce too early, you lose track of what denominator you need.”

SECTION 1.2: ALGEBRA & FUNCTIONS

MIS-ALG-01: Did not isolate variable correctly (added to wrong side) - What it is: Student adds the constant to the same side it’s on, instead of moving it to the other side. 2x + 3 = 11, student does 2x + 3 + 3 = 11 + 3. - How to identify: - Problem: 2x + 3 = 11. Student shows: 2x + 3 + 3 = 11 + 3, gets 2x + 6 = 14. - Pattern: constant moves to same side it’s already on, creating nonsense equation - What it indicates: Does not understand “opposite operations.” Does not understand that you subtract from both sides to move addition to the other side. - Correction approach: - Visual: Two-pan balance. Show that adding to the same side you’re trying to clear makes it worse. - Explicit: “The constant is ON the left side (2x + 3). To move it away, you SUBTRACT it from BOTH sides.” - Practice: Isolate with addition and subtraction for 10 problems before moving to multiplication/division.

MIS-ALG-02: Did not divide both sides by coefficient - What it is: Student isolates the constant correctly but forgets to divide by coefficient. 2x = 8, student answers x = 8 instead of x = 4. - How to identify: - Problem: 3x = 12. Student answers x = 12. - Problem: 5x = 20. Student answers x = 20. - Pattern: coefficient of x disappears, but answer is wrong by exactly that coefficient - What it indicates: Does not understand that coefficient is “glued to” the variable. Does not know division step is necessary. - Correction approach: - Visual: 3x means “3 groups of x.” If 3 groups of x equals 12, how much is one group? 12 ÷ 3 = 4. - Explicit: “Once you get the variable alone with its coefficient (3x = 12), divide BOTH sides by the coefficient.”

MIS-ALG-03: Sign error in multiplication (negative times negative is negative) - What it is: Student forgets that negative × negative = positive. (-2) × (-3) = -6 instead of 6. - How to identify: - Problem: (-2) × (-3) = ? Student answers -6. - Problem: -3 × -4 = ? Student answers -12. - Pattern: both factors negative, but product is negative (wrong) - What it indicates: Does not understand sign rules for multiplication. - Correction approach: - Rule: “Negative times negative = positive. Negative times positive = negative. Positive times positive = positive.” - Anchor: “Think of it as debt forgiveness. If you forgive someone else’s debt, that’s a gain (positive).” - Practice: 20 sign problems, isolate just sign rules (don’t mix with larger calculations) before moving on.

MIS-ALG-04: Treated variable as zero instead of unknown - What it is: Student solves equation by plugging in x = 0 instead of finding what x actually equals. 3x + 2 = 11, student plugs in 0 and gets confused. - How to identify: - Student seems to not understand that x is a specific number that needs to be found - Student asks “what is x?” as if it’s defined elsewhere - Pattern: confusion about variables as unknowns vs. variables as zero placeholders - What it indicates: Does not understand variable meaning. May be conflating x with a placeholder. - Correction approach: - Explicit: “x is unknown. We don’t know what it is. We’re solving the equation to FIND what x equals.” - Use different letter: “Let’s use b instead. 3b + 2 = 11. What is b? b = 3. We found it.” - Practice: Substitute back to check. “If x = 3, then 3(3) + 2 = 9 + 2 = 11. ✓ Correct.”

MIS-ALG-05: Exponent applied to coefficient only, not to variable - What it is: Student calculates 2x² as (2x)² = 4x² instead of 2(x²). - How to identify: - Problem: Simplify 2x². Student answers 4x² or 4x⁴. - Problem: If x = 3, what is 2x²? Student calculates (2×3)² = 6² = 36 instead of 2(3²) = 2(9) = 18. - Pattern: exponent incorrectly expands to coefficient - What it indicates: Does not understand order of operations with exponents. Does not understand exponent scope. - Correction approach: - Explicit: “Exponent applies ONLY to what it’s attached to. 2x² means 2 × (x²). It does NOT mean (2x)².” - With parentheses: “If you want the exponent on the whole thing, you need parentheses: (2x)².”

MIS-ALG-06: Cannot factor trinomial (cannot find two numbers) - What it is: Student tries to factor x² + 5x + 6 but cannot identify that it’s (x+2)(x+3). - How to identify: - Student shows no systematic approach to finding factors - Student guesses randomly - Student leaves it unfactored - Pattern: weakness in finding two numbers that multiply to c and add to b - What it indicates: Does not understand the relationship between trinomial coefficients and factor pairs. - Correction approach: - Algorithm: “Find two numbers that MULTIPLY to [last number] and ADD to [middle number].” - Practice: Before factoring, do 20 “find two numbers” problems. 5 and 3 multiply to 15, add to 8. Find two numbers that multiply to 12 and add to 7. Etc. - Once this is solid, do factoring.

SECTION 1.3: GEOMETRY & MEASUREMENT

MIS-GEOM-01: Confused area and perimeter - What it is: Student calculates perimeter when asked for area, or vice versa. Rectangle 5 × 3: answer 16 (perimeter) when asked for area. - How to identify: - Problem: Find area of rectangle 5 × 3. Student answers 16. - Problem: Find perimeter of square with side 4. Student answers 16 (which is correct for perimeter but if they calculated area, it’s 16, which confuses them). - Pattern: correct number but wrong concept, or answer is sum of sides when multiplication expected - What it indicates: Does not distinguish between concepts. May be confusing formulas. - Correction approach: - Visual: Draw rectangle, shade interior (area is inside). Draw border (perimeter is around edge). - Explicit: “Area is how much space is INSIDE. You find it by multiplying length × width.” - “Perimeter is how much distance is AROUND the edge. You find it by adding all sides.” - Use different problems: one asking explicitly for area, next for perimeter. Alternate until automatic.

MIS-GEOM-02: Forgot to square the radius in circle area formula - What it is: Student uses A = πr instead of A = πr². Area of circle with radius 3: student gets 9π instead of 9π. - How to identify: - Problem: Find area of circle with radius 5. Student gets 5π instead of 25π. - Pattern: answer is exactly off by a factor of r - What it indicates: Does not understand that radius must be squared. May be confusing with circumference formula. - Correction approach: - Explicit: “Area of circle is π × r². The radius gets SQUARED. Not radius times something else. r².” - Anchor: “Circumference uses r (no square). Area uses r².” - Practice: 10 problems, calculate r² first, THEN multiply by π.

MIS-GEOM-03: Pythagorean theorem: added instead of squared - What it is: Student uses a + b = c instead of a² + b² = c². Triangle with sides 3 and 4: gets 7 instead of 5. - How to identify: - Problem: Find hypotenuse of right triangle with legs 3 and 4. Student gets 7 instead of 5. - Problem: Find missing leg if hypotenuse is 13 and one leg is 5. Student gets 13 - 5 = 8 instead of 12. - Pattern: answer is sum/difference instead of using squares - What it indicates: Does not understand Pythagorean relationship. May be confusing with perimeter. - Correction approach: - Visual: Draw 3-4-5 triangle. Show that 3² + 4² = 9 + 16 = 25 = 5². - Explicit: “Pythagorean theorem: a² + b² = c². You MUST square each leg before adding.” - Practice: 10 problems with 3-4-5 triangles before moving to other numbers.

MIS-GEOM-04: Applied wrong formula for volume - What it is: Student uses area formula instead of volume formula, or applies volume formula to 2D shape. Prism volume: student gets area of base instead of area × height. - How to identify: - Problem: Volume of rectangular prism with base 5 × 4 and height 3. Student answers 20 (just the base area). - Problem: Volume of cylinder with radius 3 and height 10. Student answers 9π (just the area of base). - Pattern: student forgets the height multiplier - What it indicates: Does not understand volume as base area times height. - Correction approach: - Visual: Stack coins to show volume. Each coin has area (base), but you multiply by how many coins (height). - Formula: “Volume = Base Area × Height. Always.” - Practice: 10 problems where you first calculate base area, then multiply by height.

SECTION 1.4: DATA & STATISTICS

MIS-STAT-01: Confused mean and median - What it is: Student calculates median when asked for mean, or vice versa. Data: 2, 4, 6, 8, 10. Asked for mean: student answers 6 (which is actually the median). - How to identify: - Problem: Find mean of 2, 4, 6, 8, 10. Student answers 6 (middle value, not average). - Problem: Find median of 1, 2, 3, 100, 200. Student adds all and divides by 5, gets 61.2. - Pattern: student uses wrong operation or picks middle value when asked for average - What it indicates: Does not distinguish between concepts. May have memorized neither correctly. - Correction approach: - Explicit: “Mean = average. Add all, divide by how many. Median = middle value when sorted.” - Anchor: “Mean is sensitive to outliers. Median is not.” - Practice: Calculate both for 10 datasets. Explicitly note when they’re different and why.

MIS-STAT-02: Divided by wrong number (n or n-1) when calculating standard deviation - What it is: Student uses n-1 when they should use n, or vice versa. Dataset: 2, 4, 6. Student calculates variance using n-1 (denominator 2) instead of n (denominator 3). - How to identify: - Problem: Standard deviation of 2, 4, 6. Student answer off by factor of √(n/(n-1)) ≈ 1.22 for small n. - Pattern: calculation looks correct until final division step - What it indicates: Does not understand sample vs. population standard deviation. - Correction approach: - Explicit: “Population standard deviation uses n. Sample standard deviation uses n-1 (unbiased estimator).” - Context: “In GED, usually you’ll be told whether it’s sample or population. If not, use n for population.” - Practice: 5 population, 5 sample problems. Make the difference explicit.

MIS-STAT-03: Calculated probability as non-ratio (not simplified) - What it is: Student states probability as non-reduced fraction or as ratio instead of decimal/percentage. Probability 3/6 = 3/6 instead of 1/2 or 0.5 or 50%. - How to identify: - Problem: Probability of rolling even number on die. Student answers 3/6 instead of 1/2 or 0.5. - Pattern: answer is correct conceptually but not reduced or converted - What it indicates: Does not understand probability as a normalized ratio (0-1 range). - Correction approach: - Explicit: “Probability must be between 0 and 1. If your fraction reduces, reduce it. 3/6 = 1/2 = 0.5 = 50%.” - Practice: State same probability four ways (fraction, reduced fraction, decimal, percentage).

PART 2: RLA MISCONCEPTIONS

SECTION 2.1: READING COMPREHENSION

MIS-READ-01: Main idea is always the first sentence - What it is: Student assumes first sentence = main idea regardless of context. Article where first sentence is a hook: student picks hook as main idea. - How to identify: - Problem: “What is the main idea?” Student picks first sentence even if passage develops different central claim. - Pattern: student selects first sentence every time without considering rest of passage - What it indicates: Does not understand main idea concept. May be defaulting to first sentence as safe answer. - Correction approach: - Explicit: “Main idea is what the whole passage is ABOUT and what point the author is making. It might be first, middle, or last. It might not be stated directly.” - Practice: Give passages where main idea is in last sentence. Force student to consider whole passage.

MIS-READ-02: Confused topic and main idea - What it is: Student states the topic (dogs) instead of the main idea (dogs make better pets than cats for urban living). Topic is what the passage is about. Main idea is the claim about the topic. - How to identify: - Problem: “What is the main idea?” Student answers “dogs” or “dog behavior” (topic) instead of claim about dogs. - Pattern: student’s answer is a noun or thing, not a complete thought - What it indicates: Does not understand difference between topic and main idea. - Correction approach: - Explicit: “Topic = WHAT. Main idea = WHAT about it / WHAT the author claims.” - Practice: List topics. Have student state main idea about each. Topic: “Weather.” Main idea: “Global warming is changing regional weather patterns.”

MIS-READ-03: Supporting details selected are not actually supporting - What it is: Student picks the most dramatic or interesting detail instead of one that actually supports main idea. Passage about endangered species habitat loss: student selects dramatic detail about one specific animal instead of evidence of habitat destruction. - How to identify: - Problem: “Which detail supports the main idea?” Student picks something interesting but tangential. - Pattern: student’s selection is emotionally engaging but not logically related to main idea - What it indicates: Does not understand logical relationship between detail and claim. - Correction approach: - Explicit: “Supporting detail must PROVE or EXPLAIN the main idea. Not just be interesting.” - Check: “Does this detail make the main idea more clear or more believable? If not, it’s not supporting.” - Practice: Give main idea + 4 details. Only 2 actually support. Student selects which 2 and explains why others don’t.

MIS-READ-04: Inferred something not in text (made up information) - What it is: Student makes logical leap beyond what text supports. Text says “she was late to class.” Student infers “she doesn’t care about school.” - How to identify: - Problem: “What can we infer?” Student states something plausible but not actually supported by passage. - Pattern: student’s answer requires information not in text - What it indicates: Does not understand difference between inference (logical leap from text) and imagination (making things up). - Correction approach: - Explicit: “Inference = a smart guess BASED ON text. You use clues in the passage. You don’t add new information.” - Check: “Where in the text does it say that?” If student can’t point to clue, it’s not an inference. - Practice: Show inferences that are supported vs. not supported. Label each.

MIS-READ-05: Misidentified author’s purpose - What it is: Student picks wrong purpose. Article meant to persuade identified as intended to entertain. Article meant to inform identified as intended to criticize. - How to identify: - Problem: “What is the author’s purpose?” Student answers incorrectly. - Pattern: may get right purpose on obvious passages but wrong on nuanced ones - What it indicates: Does not understand author’s intent or is not distinguishing between purpose types. - Correction approach: - Definitions: Inform = explain/educate. Persuade = convince to believe/act. Entertain = make enjoyable. Criticize = find fault. - Check: “Does the author try to get you to do something? (Persuade). Does the author explain facts? (Inform). Is this meant to be funny? (Entertain).” - Practice: Short passages. State purpose explicitly in one sentence.

SECTION 2.2: ARGUMENT & EVIDENCE

MIS-ARG-01: Confused claim and evidence - What it is: Student states evidence when asked for claim, or vice versa. Argument: “Homeschooling improves test scores (claim) because a study shows homeschooled students scored higher (evidence).” Student confuses which is which. - How to identify: - Problem: “What is the author’s claim?” Student quotes the evidence instead. - Pattern: student can identify both pieces but labels them backwards - What it indicates: Does not understand what a claim is vs. what supports it. - Correction approach: - Explicit: “Claim = the point being made. Evidence = the proof.” - Check: “Is this something being argued FOR? (Claim). Is this something being used as proof? (Evidence).” - Practice: Arguments with claim and evidence clearly separated. Label each.

MIS-ARG-02: Selected weak evidence and thought it was strong - What it is: Student accepts an anecdote or single opinion as sufficient evidence. Claim: “Coffee is bad for you.” Evidence: “My aunt got jittery after coffee.” Student accepts this as strong evidence. - How to identify: - Problem: “Is this evidence strong or weak?” Student says weak evidence is strong. - Pattern: student accepts personal stories or single examples as if they’re universal truths - What it indicates: Does not understand what makes evidence credible (sample size, source quality, methodology). - Correction approach: - Explicit: “Strong evidence = study with many people, expert opinion, statistical data. Weak evidence = one person’s story, no source.” - Practice: Classify 20 pieces of evidence as strong/weak. Discuss why.

MIS-ARG-03: Did not distinguish between logical and emotional appeal - What it is: Student calls a logical argument an emotional appeal, or vice versa. Statistical argument about vaccine safety called “fear mongering.” Emotional appeal to sympathy called “logical.” - How to identify: - Problem: “Is this a logical or emotional appeal?” Student gets it backwards. - Pattern: student may be confusing topic (scary topic) with appeal type (emotional language) - What it indicates: Does not understand rhetoric or persuasion types. - Correction approach: - Explicit: “Logic = facts, numbers, expert opinion. Emotion = feelings, stories, powerful language designed to make you feel.” - Practice: Advertisements + political speeches. Identify logical vs. emotional appeals in each.

MIS-ARG-04: Did not consider counterargument - What it is: Student ignores or dismisses potential opposing view without engaging it. Argument about economic policy: student doesn’t consider valid opposing economic theory. - How to identify: - Problem: “What might someone disagree with here?” Student has no answer or invents strawman. - Pattern: student treats argument as obvious/unchallengeable - What it indicates: Does not understand argument requires acknowledging counterargument. - Correction approach: - Explicit: “A strong argument considers what the other side might say and answers it.” - Practice: Take a claim. List 3 reasonable counterarguments. For each, give a rebuttal.

SECTION 2.3: GRAMMAR & USAGE

MIS-GRAM-01: Subject-verb disagreement (subject is plural, verb is singular) - What it is: “The dogs IS running” (should be ARE). “Committee members IS voting” (should be ARE). - How to identify: - Student writes or selects sentences with subject-verb mismatch - Pattern: especially common with collective nouns or compound subjects - What it indicates: Does not identify subject correctly or does not apply agreement rule. - Correction approach: - Identify subject: Cover everything after the subject. “The dogs” = plural. What verb goes with plural? “are.” - Compound subjects: “Dogs and cats are…” (and = plural) - Collective nouns: “Team is…” or “team are…” depends on context.

MIS-GRAM-02: Pronoun-antecedent disagreement (pronoun doesn’t match noun) - What it is: “The student lost their books” (if singular student). “Everyone should do their homework” (singular everyone, plural their). - How to identify: - Student uses plural pronoun with singular antecedent or vice versa - Pattern: especially common with indefinite pronouns - What it indicates: Does not apply pronoun-antecedent agreement rule. - Correction approach: - Identify antecedent: What is the pronoun referring to? Is it singular or plural? - Match: Pronoun must match antecedent in number and gender.

MIS-GRAM-03: Dangling modifier (modifier doesn’t attach to intended noun) - What it is: “Walking down the street, the mailbox caught my eye.” (Walking is a participial phrase, but mailbox isn’t walking.) - How to identify: - Student writes or selects sentences where modifier clearly doesn’t attach to subject - Pattern: often at beginning of sentence - What it indicates: Does not understand that modifiers attach to nearest appropriate noun. - Correction approach: - Rewrite: Put the noun being modified right after the modifier. “Walking down the street, I saw a mailbox.” - Check: Who/what is doing the action in the opening phrase? That’s what should be the subject.

MIS-GRAM-04: Wrong verb tense for context - What it is: “Yesterday I go to the store and I buy milk.” (Should be: “I went…and bought”) - How to identify: - Student mixes present and past tense within same time context - Pattern: especially common in longer narratives - What it indicates: Does not maintain consistent tense. - Correction approach: - Identify time frame: When is this happening? Past? Present? Future? - Apply tense consistently throughout passage about that timeframe.

MIS-GRAM-05: Comma splice (two independent clauses joined with comma) - What it is: “The dog ran fast, it caught the ball.” (Two sentences joined with comma instead of period or semicolon.) - How to identify: - Student writes or selects sentence with two independent clauses joined by comma - Can check: Can the part after comma stand alone as a sentence? If yes, it’s independent. - What it indicates: Does not understand comma use or sentence structure. - Correction approach: - Option 1: Period. “The dog ran fast. It caught the ball.” - Option 2: Semicolon. “The dog ran fast; it caught the ball.” - Option 3: Coordinating conjunction + comma. “The dog ran fast, and it caught the ball.”

SECTION 2.4: WRITING

MIS-WRITE-01: Thesis statement is too broad or vague - What it is: “Schools are important” instead of “Incorporating financial literacy curriculum into high schools would increase students’ long-term economic stability.” - How to identify: - Student’s thesis is obvious, unchallengeable, or could apply to many topics - Pattern: thesis could be said about almost any topic - What it indicates: Does not understand that thesis must be specific, arguable, and unique to the topic. - Correction approach: - Reframe: “What specific point are you making? What would someone need to be convinced of?” - Practice: Start with broad topic. Narrow to specific claim. “Schools → High schools → Financial education → Improves economic outcomes → Justifies curriculum change.”

MIS-WRITE-02: Topic sentence doesn’t clearly relate to thesis - What it is: Essay thesis: “Electric vehicles should replace gas cars by 2040.” Body paragraph topic: “Some people enjoy driving fast cars.” - How to identify: - Topic sentences don’t advance the main argument - Pattern: paragraphs seem interesting but don’t support thesis - What it indicates: Does not understand that each paragraph must prove the thesis. - Correction approach: - Check: “Does this paragraph help prove my thesis? Why or why not?” - Rewrite: Topic sentences should directly relate to thesis.

MIS-WRITE-03: Evidence is anecdotal (one person’s story) instead of substantive - What it is: Claim: “Meditation reduces anxiety.” Evidence: “My friend meditated and felt better.” - How to identify: - Supporting evidence is a single person’s experience, not research or data - Pattern: uses “I” or “my friend” instead of studies/statistics - What it indicates: Does not understand what counts as credible evidence in formal writing. - Correction approach: - Explain: Formal writing needs studies, statistics, expert opinion. Personal stories are weaker. - For GED: Research claims need citations. Anecdotes are not research.

MIS-WRITE-04: No transitions between paragraphs (abrupt shifts) - What it is: Essay jumps from one idea to next with no connection. “Dogs are loyal. Cats have sharp claws.” - How to identify: - Reading paragraphs in sequence, connections are unclear - Pattern: ideas don’t flow; reader must guess relationships - What it indicates: Does not understand how to link ideas. - Correction approach: - Add transition sentences: “While dogs offer loyalty, cats have different advantages…” - Transition words: However, Additionally, Similarly, In contrast, Furthermore, etc.

PART 3: SCIENCE & SOCIAL STUDIES MISCONCEPTIONS

SECTION 3.1: SCIENCE MISCONCEPTIONS

MIS-SCI-01: Gravity only acts downward - What it is: Student thinks gravity only pulls things toward Earth’s ground. Doesn’t understand gravity acts between all masses in all directions. - How to identify: - Student can’t explain why moon orbits Earth - Student thinks objects in space have “no gravity” - Correction: Projectile motion, orbital mechanics, universal gravitation

MIS-SCI-02: Heavier objects fall faster - What it is: Student thinks a 10-pound object falls faster than a 1-pound object. - How to identify: - Student predicts heavier object hits ground first - Not understanding: gravity accelerates all objects equally (in vacuum) - Correction: Drop test, equations of motion, air resistance discussion

MIS-SCI-03: Plants get food from soil - What it is: Student thinks plants eat soil like we eat food. - How to identify: - Student can’t explain photosynthesis - Student thinks roots absorb nutrients that ARE food - Correction: Photosynthesis process, energy flow, nutrient vs. energy

MIS-SCI-04: Evolution is “just a theory” (misunderstands theory) - What it is: Student conflates scientific theory (supported by massive evidence) with casual theory (guess). - How to identify: - Student says evolution is “unproven” - Not understanding: scientific theory is highest level of evidence - Correction: Explain scientific theory vs. casual theory, fossil evidence, genetic evidence

SECTION 3.2: SOCIAL STUDIES MISCONCEPTIONS

MIS-SOCST-01: Causation from temporal proximity - What it is: Student assumes events that happened close in time caused each other. Event A happens, then event B, so A caused B. - How to identify: - Student confuses correlation with causation - Pattern: “This happened, then that happened, so this caused that” - Correction: Temporal ordering, confounding variables, necessary and sufficient conditions

MIS-SOCST-02: Modern perspective applied to historical context - What it is: Student judges historical figures/events by modern ethics/values instead of context. “They should have known slavery was wrong.” - How to identify: - Student uses modern moral standards for past decisions - Not understanding: historical context shapes what was considered normal - Correction: Teach contextualization, what was known/believed at the time, gradual change in understanding

MIS-SOCST-03: Oversimplified causes of war/conflict - What it is: Student gives one cause (a single treaty, a single person) for complex conflict. - How to identify: - Student can’t explain multiple contributing factors - Pattern: “It happened because of X” (ignoring A, B, C also present) - Correction: Multiple causation, geopolitical context, competing interests

PART 4: HOW TO USE THIS DATABASE

During Assignment Analysis:

1. Student submits wrong answer
2. Review the student’s work
3. Find the matching misconception in this database (use search by keyword)
4. Note: What it is, How to identify, What it indicates
5. Check: Is this a one-time error or pattern?
6. Recommend: Use the correction approach
7. Document: Flag the misconception in the student’s profile

During Socratic Questioning:

1. You know the misconception
2. Use the database to understand what idea student actually believes
3. Design Socratic questions to challenge that belief, not the surface error
4. Goal: Student discovers why their belief is wrong

During Lesson Generation:

1. Student needs explanation
2. Check this database for common misconceptions on that topic
3. Address those misconceptions explicitly in the lesson
4. Don’t just explain the right way — explain why the common wrong way is wrong

End of GED Misconception Database

This database is the foundation for all error analysis, student feedback, and intervention design.