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GMU QUESTION-DRIVEN · SOCRATIC · DR307

4-vs-2 Column Break Check — Question-Driven Socratic Drill (DR307)

DR307 pairs 4-vs-2 Column Break Check (Reference column depth 2 vs active column extending to rows 3 and 4) with Question-Driven Modality (Socratic Inquiry): learners verify At Row 3, (k-m,3) is first empty (Blue); at Row 4, both 3 & 4 are empty (Red), master Transition From Rule 2 Case 2b (Row 3 Blue) to Case 2c (Row 4 Red), and eliminate keeping row 4 blue after row 3 already marked the single-row break.

Drill Reference ID
DR307
Big Road Streaks
12 Cols
Big Eye Boy Total
20 Marks
Small Road Total
18 Dots
Engine-Verified Scoreboard · 24 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 P B B P P
Big Eye Boy = = = ≠ = ≠ = ≠ ≠ ≠ = ≠ ≠ = = = ≠ ≠ = ≠
Small Road = ≠ = ≠ = = ≠ = ≠ ≠ = ≠ = = ≠ ≠ ≠ =
Cockroach Pig = = ≠ = = ≠ ≠ = ≠ = ≠ ≠ ≠ =

DR307 drill board (BBPPBBBBPPBPPPBPBPBBPPTP): 12 Big Road columns, 20 Big Eye Boy, 18 Small Road, and 14 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 #5

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

  1. Column 3 goes down to Row 4, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 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 2 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 #1

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

  1. Column 4 goes down to Row 2, so use Rule 2: look 3 columns 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.

Verified Reference Data

Key Facts & Table Specifications

DR307 Target Coordinate
4-vs-2 Column Break Check

Reference column depth 2 vs active column extending to rows 3 and 4

DR307 Rule Classification
Question-Driven Socratic Drill

Transition From Rule 2 Case 2b (Row 3 Blue) to Case 2c (Row 4 Red)

DR307 Depth Comparison
12 Big Road Cols

At Row 3, (k-m,3) is first empty (Blue); at Row 4, both 3 & 4 are empty (Red)

DR307 Misconception Focus
Diagnostic Check

Keeping Row 4 blue after Row 3 already marked the single-row break

DR307 GMU Modality Goal
Question-Driven Modality (Socratic Inquiry)

Trace the exact flip from Blue at Row 3 to Red at Row 4 over a depth-2 column by answering three sequential checkpoints: row position, lookback m, and parity

DR307 · Coordinate & Rule Specification

DR307 4-vs-2 Column Break Check: Question-Driven Socratic Drill Walkthrough

Inside Question-Driven Modality (Socratic Inquiry) (DR307), exercise 4-vs-2 Column Break Check targets Transition From Rule 2 Case 2b (Row 3 Blue) to Case 2c (Row 4 Red) while answering three sequential checkpoints: row position, lookback m, and parity produces 20 Big Eye Boy marks over BBPPBBBBP.

Within DR307, Question-Driven Modality (Socratic Inquiry) highlights the primary mark: This bead is at Row 4. Column 2 stopped at Row 2, more than one row above → red (=). Across 18 Small Road and 14 Cockroach Pig entries, At Row 3, (k-m,3) is first empty (Blue); at Row 4, both 3 & 4 are empty (Red) remains transparent.

Table DR307: 4-vs-2 Column Break Check specification under Question-Driven Socratic Drill.
DR307 Drill DimensionCoordinate / RuleGMU Modality Action
DR307 Matrix CoordinateReference column depth 2 vs active column extending to rows 3 and 4Question-Driven Modality (Socratic Inquiry)
DR307 Rule & DepthTransition From Rule 2 Case 2b (Row 3 Blue) to Case 2c (Row 4 Red)At Row 3, (k-m,3) is first empty (Blue); at Row 4, both 3 & 4 are empty (Red)
DR307 Diagnostic TargetKeeping Row 4 blue after Row 3 already marked the single-row breakTrace the exact flip from Blue at Row 3 to Red at Row 4 over a depth-2 column
  • DR307 Step 1: Locate Reference column depth 2 vs active column extending to rows 3 and 4 across the 12 columns of BBPPBBBBPPBP.
  • DR307 Step 2: Verify At Row 3, (k-m,3) is first empty (Blue); at Row 4, both 3 & 4 are empty (Red) under Transition From Rule 2 Case 2b (Row 3 Blue) to Case 2c (Row 4 Red).
  • DR307 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.
DR307 · Question-Driven Modality (Socratic Inquiry)

DR307 Misconception Diagnostic & Secondary Road Audit

Multi-road audit DR307 (4-vs-2 Column Break Check) shows: This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=). Grounded in Question-Driven Modality (Socratic Inquiry), readers verify Reference column depth 2 vs active column extending to rows 3 and 4 across 12 Big Road columns.

Table Reality Check

Myth vs. Truth

MythIn DR307 (4-vs-2 Column Break Check), keeping row 4 blue after row 3 already marked the single-row break or reading red/blue derived marks as Banker/Player outcomes.
TruthTransition From Rule 2 Case 2b (Row 3 Blue) to Case 2c (Row 4 Red) evaluates At Row 3, (k-m,3) is first empty (Blue); at Row 4, both 3 & 4 are empty (Red); 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
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