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GMU QUESTION-DRIVEN · SOCRATIC · DR257

3-2-3-2 Depth Alternation — Question-Driven Socratic Drill (DR257)

DR257 pairs 3-2-3-2 Depth Alternation (Big Road depths [3, 2, 3, 2] comparing m=1 vs m=2 lookbacks) with Question-Driven Modality (Socratic Inquiry): learners verify For m=1, d_3=3 != d_2=2 (Blue); for m=2, d_3=3 == d_1=3 (Red), master Lookback Divergence: Big Eye Boy Blue vs Small Road Red, and eliminate assuming all three derived roads must show the same color on a hand.

Drill Reference ID
DR257
Big Road Streaks
10 Cols
Big Eye Boy Total
19 Marks
Small Road Total
17 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 P P B B B P
Big Eye Boy = = = ≠ = ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ = ≠ = = =
Small Road = ≠ = ≠ = = ≠ = ≠ ≠ = = = = ≠ = ≠
Cockroach Pig = = ≠ = = ≠ ≠ ≠ = ≠ = = =

DR257 drill board (BBPPBBBBPPBPPPBPPPBBBP): 10 Big Road columns, 19 Big Eye Boy, 17 Small Road, and 13 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 #3

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

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

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

DR257 Target Coordinate
3-2-3-2 Depth Alternation

Big Road depths [3, 2, 3, 2] comparing m=1 vs m=2 lookbacks

DR257 Rule Classification
Question-Driven Socratic Drill

Lookback Divergence: Big Eye Boy Blue vs Small Road Red

DR257 Depth Comparison
10 Big Road Cols

For m=1, d_3=3 != d_2=2 (Blue); for m=2, d_3=3 == d_1=3 (Red)

DR257 Misconception Focus
Diagnostic Check

Assuming all three derived roads must show the same color on a hand

DR257 GMU Modality Goal
Question-Driven Modality (Socratic Inquiry)

Verify why Small Road (m=2) marks red while Big Eye Boy (m=1) marks blue by answering three sequential checkpoints: row position, lookback m, and parity

DR257 · Coordinate & Rule Specification

DR257 3-2-3-2 Depth Alternation: Question-Driven Socratic Drill Walkthrough

Under Question-Driven Socratic Drill (DR257), 3-2-3-2 Depth Alternation isolates Big Road depths [3, 2, 3, 2] comparing m=1 vs m=2 lookbacks and For m=1, d_3=3 != d_2=2 (Blue); for m=2, d_3=3 == d_1=3 (Red), turning BBPPBBBBP-PBPPPBPPP into a hands-on 19-mark verification.

Applying Lookback Divergence: Big Eye Boy Blue vs Small Road Red in DR257, This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=). Those 17 Small Road dots and 13 Cockroach Pig slashes accompany Big Road depths [3, 2, 3, 2] comparing m=1 vs m=2 lookbacks during answering three sequential checkpoints: row position, lookback m, and parity.

Table DR257: 3-2-3-2 Depth Alternation specification under Question-Driven Socratic Drill.
DR257 Drill DimensionCoordinate / RuleGMU Modality Action
DR257 Matrix CoordinateBig Road depths [3, 2, 3, 2] comparing m=1 vs m=2 lookbacksQuestion-Driven Modality (Socratic Inquiry)
DR257 Rule & DepthLookback Divergence: Big Eye Boy Blue vs Small Road RedFor m=1, d_3=3 != d_2=2 (Blue); for m=2, d_3=3 == d_1=3 (Red)
DR257 Diagnostic TargetAssuming all three derived roads must show the same color on a handVerify why Small Road (m=2) marks red while Big Eye Boy (m=1) marks blue
  • DR257 Step 1: Locate Big Road depths [3, 2, 3, 2] comparing m=1 vs m=2 lookbacks across the 10 columns of BBPPBBBBPPBP.
  • DR257 Step 2: Verify For m=1, d_3=3 != d_2=2 (Blue); for m=2, d_3=3 == d_1=3 (Red) under Lookback Divergence: Big Eye Boy Blue vs Small Road Red.
  • DR257 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.
DR257 · Question-Driven Modality (Socratic Inquiry)

DR257 Misconception Diagnostic & Secondary Road Audit

Inside DR257 (GMU QUESTION-DRIVEN · SOCRATIC), This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=). Every step of Lookback Divergence: Big Eye Boy Blue vs Small Road Red and For m=1, d_3=3 != d_2=2 (Blue); for m=2, d_3=3 == d_1=3 (Red) holds across 10 columns.

Table Reality Check

Myth vs. Truth

MythIn DR257 (3-2-3-2 Depth Alternation), assuming all three derived roads must show the same color on a hand or reading red/blue derived marks as Banker/Player outcomes.
TruthLookback Divergence: Big Eye Boy Blue vs Small Road Red evaluates For m=1, d_3=3 != d_2=2 (Blue); for m=2, d_3=3 == d_1=3 (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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