# EduVis Showcase: Adaptive Remediation & Assessment Branching # Demonstrates: # 1. True / False checking (2-option MCQ) # 2. MCQ misconception tracking & solution steps # 3. Unified Remediation block (Review - Remember - Solve) and relationship target constraints schema_version: "0.6" curriculum: code: showcase topic: adaptive-remediation lesson: title: "Adaptive Remediation & Telemetry Event Branching" concepts: - prime_numbers progression: pattern: direct_instruction pedagogy: explain_why: true no_skipped_steps: true phases: - phase: explain purpose: conceptual_model - phase: independent_practice difficulty: starter - phase: explain purpose: worked_example - phase: explain purpose: conceptual_model - phase: independent_practice difficulty: starter - phase: explain purpose: worked_example - phase: independent_practice difficulty: starter - phase: explain purpose: worked_example content: # --- 1. TRUE / FALSE CHECK -------------------------------------------------- - id: check_true_false type: multiple_choice concepts: - prime_numbers placement: lesson_phase: explain purpose: conceptual_model layout_zone: center memory_role: anchor assessment_objective: conceptual_understanding question: "True or False: The number 1 is a prime number." options: "True": "Incorrect, 1 only has one factor." "False": "Correct, 1 is not a prime number." answer: "False" # --- 2. FIVE OPTION MCQ ----------------------------------------------------- - id: check_five_options type: multiple_choice concepts: - prime_numbers placement: lesson_phase: independent_practice difficulty: starter layout_zone: center memory_role: practice assessment_objective: procedural_fluency relationships: precedes: - explain_composite_intro question: "Which of the following numbers is prime?" options: A: "1 (first positive integer)" B: "4 (factors: 1, 2, 4)" C: "6 (factors: 1, 2, 3, 6)" D: "9 (factors: 1, 3, 9)" E: "2 (only even prime number)" answer: "E" # --- 3. UNIFIED REMEDIATION BLOCK (PRIME NUMBERS) -------------------------- - id: explain_prime_remediation type: remediation_block concepts: - prime_numbers placement: lesson_phase: explain purpose: worked_example layout_zone: center memory_role: misconception_fix relationships: remediation_for: - check_five_options review: source_question: check_five_options student_answer: "C" correct_answer: "E" remember: type: callout_box title: "Prime Numbers Rule" border_color: orange lines: - "A prime number is a whole number greater than 1." - "It must have exactly two factors: 1 and itself." solve: type: hint_list items: - "Step 1: Write down factors of Option C (6): 1, 2, 3, 6 (four factors). Not prime." - "Step 2: Write down factors of Option E (2): 1, 2 (exactly two factors). Prime!" final: "Therefore, E is the correct answer." # --- 4. COMPOSITE NUMBERS INTRO -------------------------------------------- - id: explain_composite_intro type: callout_box concepts: - prime_numbers placement: lesson_phase: explain purpose: conceptual_model layout_zone: center memory_role: anchor title: "Composite Numbers" border_color: green lines: - "Whole numbers greater than 1 that are NOT prime are called COMPOSITE NUMBERS." - "A composite number has more than two factors (divisors)." - "For example, 4 has factors 1, 2, and 4 (three factors). Thus, 4 is composite." # --- 5. MCQ FOR COMPOSITE NUMBERS ------------------------------------------ - id: check_composite_number type: multiple_choice concepts: - prime_numbers placement: lesson_phase: independent_practice difficulty: starter layout_zone: center memory_role: practice assessment_objective: conceptual_understanding question: "Which of the following numbers is a composite number?" options: A: "2 (factors: 1, 2)" B: "3 (factors: 1, 3)" C: "5 (factors: 1, 5)" D: "9 (factors: 1, 3, 9)" E: "7 (factors: 1, 7)" answer: "D" misconceptions: A: "prime-composite-confusion" solution_steps: - "List factors for each option." - "2, 3, 5, and 7 are only divisible by 1 and themselves (Prime numbers)." - "9 is divisible by 1, 3, and 9 (three factors)." - "A number with more than two factors is composite." # --- 6. UNIFIED REMEDIATION BLOCK (COMPOSITE NUMBERS) ---------------------- - id: explain_composite_remediation type: remediation_block concepts: - prime_numbers placement: lesson_phase: explain purpose: worked_example layout_zone: center memory_role: misconception_fix relationships: remediation_for: - check_composite_number review: source_question: check_composite_number student_answer: "A" correct_answer: "D" remember: type: callout_box title: "Composite Numbers Rule" border_color: red lines: - "A composite number is a positive integer greater than 1 that has more than two factors." - "Any whole number greater than 1 is either prime or composite." solve: type: hint_list items: - "Step 1: List the factors of 2. It has only 1 and 2 (Prime)." - "Step 2: List the factors of 9. Factors are 1, 3, 9. Since it has more than two factors, it is composite." final: "Therefore, D is the correct answer." # --- 7. MCQ FOR PRIME FACTORS ---------------------------------------------- - id: check_prime_factors type: multiple_choice concepts: - prime_numbers placement: lesson_phase: independent_practice difficulty: starter layout_zone: center memory_role: practice assessment_objective: procedural_fluency question: "What are the prime factors of 12?" options: A: "2 and 3" B: "2, 3, and 4 (4 is composite)" C: "1, 2, 3, 4, 6, 12 (all factors)" D: "3 and 4" answer: "A" misconceptions: B: "includes-composite-factor" C: "list-all-factors-confusion" solution_steps: - "Find all factors of 12: 1, 2, 3, 4, 6, 12." - "Filter out the numbers that are not prime (1, 4, 6, and 12 are not prime)." - "The remaining prime factors are 2 and 3." # --- 8. UNIFIED REMEDIATION BLOCK (PRIME FACTORS) -------------------------- - id: explain_factors_remediation type: remediation_block concepts: - prime_numbers placement: lesson_phase: explain purpose: worked_example layout_zone: center memory_role: misconception_fix relationships: remediation_for: - check_prime_factors review: source_question: check_prime_factors student_answer: "C" correct_answer: "A" remember: type: callout_box title: "Prime Factors Rule" border_color: green lines: - "Factors are numbers you multiply together to get another number." - "Prime factors are factors that are also prime numbers." solve: type: hint_list items: - "Step 1: List all factors of 12: 1, 2, 3, 4, 6, 12." - "Step 2: Identify prime numbers among them. Only 2 and 3 are prime." final: "Therefore, the prime factors of 12 are 2 and 3 (Option A)."