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GMU PLAIN-ENGLISH · DIAGNOSTIC · DR106

Rule 2 Case 2c Over-Depth Red — Plain-English Myth Check (DR106)

DR106 pairs Rule 2 Case 2c Over-Depth Red (Continuing column row r >= d_{k-m} + 2 where two reference cells are empty) with Plain-English Modality (Misconception Repair): learners verify Both (k-m, r) and (k-m, r-1) are empty because r exceeds d_{k-m} by 2+, master Rule 2 Case 2c Consecutive Empty Reference Cells returning Red (=), and eliminate forgetting rule 2's third case where two empty reference cells produce red (=).

Drill Reference ID
DR106
Big Road Streaks
11 Cols
Big Eye Boy Total
20 Marks
Small Road Total
18 Dots
Engine-Verified Scoreboard · 23 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road P P B B P B B B P P B B P P P B B B P P P B P
Big Eye Boy = = ≠ ≠ = ≠ = ≠ = = = ≠ ≠ = = = = = = ≠
Small Road ≠ = ≠ ≠ ≠ ≠ = ≠ = ≠ ≠ = ≠ ≠ = = = ≠
Cockroach Pig = ≠ ≠ = = ≠ ≠ = = = = ≠ ≠ = ≠ ≠ ≠

DR106 drill board (PPBBPBBBPPBBPPPBBBPPPBP): 11 Big Road columns, 20 Big Eye Boy, 18 Small Road, and 17 Cockroach Pig marks.

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
Big Eye Boy · Mark #2

Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  1. Column 3 starts, so use Rule 1: compare Column 2 with Column 1, 1 column further back.
  2. Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road · Mark #2

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Cockroach Pig · Mark #4

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

DR106 Target Coordinate
Rule 2 Case 2c Over-Depth Red

Continuing column row r >= d_{k-m} + 2 where two reference cells are empty

DR106 Rule Classification
Plain-English Myth Check

Rule 2 Case 2c Consecutive Empty Reference Cells returning Red (=)

DR106 Depth Comparison
11 Big Road Cols

Both (k-m, r) and (k-m, r-1) are empty because r exceeds d_{k-m} by 2+

DR106 Misconception Focus
Diagnostic Check

Forgetting Rule 2's third case where two empty reference cells produce red (=)

DR106 GMU Modality Goal
Plain-English Modality (Misconception Repair)

Explain why extending a long streak 2+ rows past d_{k-m} turns red (=) by replacing common floor superstitions with verifiable scoreboard rules

DR106 · Coordinate & Rule Specification

DR106 Rule 2 Case 2c Over-Depth Red: Plain-English Myth Check Walkthrough

Verification lab DR106 pairs Plain-English Myth Check with Rule 2 Case 2c Over-Depth Red so students test Continuing column row r >= d_{k-m} + 2 where two reference cells are empty and answer: Which common table myth fails when checked against this exact coordinate?

Scoreboard inspection DR106 (Rule 2 Case 2c Over-Depth Red · Plain-English Myth Check) shows: Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=). Tracking 18 Small Road and 17 Cockroach Pig marks answers Which common table myth fails when checked against this exact coordinate?

Table DR106: Rule 2 Case 2c Over-Depth Red specification under Plain-English Myth Check.
DR106 Drill DimensionCoordinate / RuleGMU Modality Action
DR106 Matrix CoordinateContinuing column row r >= d_{k-m} + 2 where two reference cells are emptyPlain-English Modality (Misconception Repair)
DR106 Rule & DepthRule 2 Case 2c Consecutive Empty Reference Cells returning Red (=)Both (k-m, r) and (k-m, r-1) are empty because r exceeds d_{k-m} by 2+
DR106 Diagnostic TargetForgetting Rule 2's third case where two empty reference cells produce red (=)Explain why extending a long streak 2+ rows past d_{k-m} turns red (=)
  • DR106 Step 1: Locate Continuing column row r >= d_{k-m} + 2 where two reference cells are empty across the 11 columns of PPBBPBBBPPBB.
  • DR106 Step 2: Verify Both (k-m, r) and (k-m, r-1) are empty because r exceeds d_{k-m} by 2+ under Rule 2 Case 2c Consecutive Empty Reference Cells returning Red (=).
  • DR106 Step 3: Answer "Which common table myth fails when checked against this exact coordinate?" via replacing common floor superstitions with verifiable scoreboard rules.
DR106 · Plain-English Modality (Misconception Repair)

DR106 Misconception Diagnostic & Secondary Road Audit

Second-lookback check DR106 states: This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=). By replacing common floor superstitions with verifiable scoreboard rules, learners master Rule 2 Case 2c Over-Depth Red and Both (k-m, r) and (k-m, r-1) are empty because r exceeds d_{k-m} by 2+ over 11 columns.

Table Reality Check

Myth vs. Truth

MythIn DR106 (Rule 2 Case 2c Over-Depth Red), forgetting rule 2's third case where two empty reference cells produce red (=) or reading red/blue derived marks as Banker/Player outcomes.
TruthRule 2 Case 2c Consecutive Empty Reference Cells returning Red (=) evaluates Both (k-m, r) and (k-m, r-1) are empty because r exceeds d_{k-m} by 2+; derived road colors reflect structural symmetry only and never alter independent shoe probabilities.
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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android