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GMU QUESTION-DRIVEN · SOCRATIC · DR057

Cockroach Pig (c5,r1) Switch — Question-Driven Socratic Drill (DR057)

DR057 pairs Cockroach Pig (c5,r1) Switch (Big Road col 5 row 1 comparing col 4 vs col 1) with Question-Driven Modality (Socratic Inquiry): learners verify Completed depth d_4 compared against completed depth d_1, master Rule 1 New-Column Depth Check with three-column lookback m=3, and eliminate confusing three-column lookback m=3 with small road lookback m=2.

Drill Reference ID
DR057
Big Road Streaks
10 Cols
Big Eye Boy Total
18 Marks
Small Road Total
16 Dots
Engine-Verified Scoreboard · 22 Hands

Read the Board at Table Speed

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

DR057 drill board (BBPPBBBBPPBPPPBPTPBBPP): 10 Big Road columns, 18 Big Eye Boy, 16 Small Road, and 12 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 #1

This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).

  1. Column 2 goes down to Row 2, so use Rule 2: look 1 column back, at Column 1.
  2. Column 1 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 1 stopped exactly one row above this bead.

Small Road · Mark #3

This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=).

  1. Column 3 goes down to Row 4, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, more than one row above → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig · Mark #3

Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

DR057 Target Coordinate
Cockroach Pig (c5,r1) Switch

Big Road col 5 row 1 comparing col 4 vs col 1

DR057 Rule Classification
Question-Driven Socratic Drill

Rule 1 New-Column Depth Check with three-column lookback m=3

DR057 Depth Comparison
10 Big Road Cols

Completed depth d_4 compared against completed depth d_1

DR057 Misconception Focus
Diagnostic Check

Confusing three-column lookback m=3 with Small Road lookback m=2

DR057 GMU Modality Goal
Question-Driven Modality (Socratic Inquiry)

Evaluate Rule 1 depth equality between Column 4 and Column 1 by answering three sequential checkpoints: row position, lookback m, and parity

DR057 · Coordinate & Rule Specification

DR057 Cockroach Pig (c5,r1) Switch: Question-Driven Socratic Drill Walkthrough

Through answering three sequential checkpoints: row position, lookback m, and parity in DR057, Cockroach Pig (c5,r1) Switch demonstrates Completed depth d_4 compared against completed depth d_1 across 10 Big Road columns and 18 derived comparisons.

During DR057 practice (GMU QUESTION-DRIVEN · SOCRATIC), This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=). Pairing 16 Small Road and 12 Cockroach Pig entries with Big Road col 5 row 1 comparing col 4 vs col 1 resolves Is the active hand starting a new column (Rule 1) or continuing down (Rule 2)?

Table DR057: Cockroach Pig (c5,r1) Switch specification under Question-Driven Socratic Drill.
DR057 Drill DimensionCoordinate / RuleGMU Modality Action
DR057 Matrix CoordinateBig Road col 5 row 1 comparing col 4 vs col 1Question-Driven Modality (Socratic Inquiry)
DR057 Rule & DepthRule 1 New-Column Depth Check with three-column lookback m=3Completed depth d_4 compared against completed depth d_1
DR057 Diagnostic TargetConfusing three-column lookback m=3 with Small Road lookback m=2Evaluate Rule 1 depth equality between Column 4 and Column 1
  • DR057 Step 1: Locate Big Road col 5 row 1 comparing col 4 vs col 1 across the 10 columns of BBPPBBBBPPBP.
  • DR057 Step 2: Verify Completed depth d_4 compared against completed depth d_1 under Rule 1 New-Column Depth Check with three-column lookback m=3.
  • DR057 Step 3: Answer "Is the active hand starting a new column (Rule 1) or continuing down (Rule 2)?" via answering three sequential checkpoints: row position, lookback m, and parity.
DR057 · Question-Driven Modality (Socratic Inquiry)

DR057 Misconception Diagnostic & Secondary Road Audit

Further along the DR057 scoreboard (10 columns), This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=). Answering "Is the active hand starting a new column (Rule 1) or continuing down (Rule 2)?" cements Rule 1 New-Column Depth Check with three-column lookback m=3.

Table Reality Check

Myth vs. Truth

MythIn DR057 (Cockroach Pig (c5,r1) Switch), confusing three-column lookback m=3 with small road lookback m=2 or reading red/blue derived marks as Banker/Player outcomes.
TruthRule 1 New-Column Depth Check with three-column lookback m=3 evaluates Completed depth d_4 compared against completed depth d_1; derived road colors reflect structural symmetry only and never alter independent shoe probabilities.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

Read Every Derived Road at Table Speed

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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