Chess

You understand the board layout and movement rules for each piece. On the quantitative skill axis, this is the entry stage at Elo 400 or below. You know special rules like castling and en passant and understand the concept of checkmate. Strategic thinking has not yet begun in earnest; you can roughly assess relative piece values and complete a game by making only legal moves.

• Can explain the movement rules for all 6 piece types (king, queen, rook, bishop, knight, pawn)
• Can explain the conditions and execution of castling and en passant
• Can distinguish between check, checkmate, and stalemate
• Can state the relative piece values (pawn=1, knight/bishop=3, rook=5, queen=9)
• Can complete a game from start to finish using only legal moves

The first leap on the strategic thinking axis occurs at this stage. You recognize basic tactical motifs such as forks, pins, and skewers, detect and defend against immediate threats, and calculate material gains and losses during exchanges. You can execute simple checkmate patterns and are beginning to reduce piece losses. On the cognitive development axis, you start converting basic patterns into procedural memory through repeated tactical puzzle practice. (Approximately Elo 400-800)

• Can recognize and exploit forks, pins, and skewers at least 3 times in 10 games
• Can check for opponent threats (piece attacks, checks) before every move
• Can accurately calculate material gains and losses in pawn-unit values during exchanges
• Can deliver checkmate with king and queen, or king and rook, within 30 moves each
• Can recognize discovered attacks and double checks, maintaining an online puzzle rating of 600+
• Can anticipate at least one opponent response before making each move

On the strategic thinking axis, you apply opening principles (center control, piece development, king safety) and accurately convert basic endgames. You formulate simple middlegame plans and execute them. On the cognitive development axis, the habit of reviewing your own games to identify mistakes and find improvements takes shape. (Approximately Elo 800-1200)

• Can apply the three core opening principles: center control, piece development, and king safety
• Can play the first 5+ moves of 2-3 major openings and use them in games
• Can accurately execute promotion in king + pawn vs. king endgames (90%+ success rate)
• Can understand the concept of opposition and apply it in king endgames
• Can formulate and execute simple plans of 3+ moves in the middlegame
• Can review own games and identify at least 3 critical mistakes
• Can play 10+ games per month online or over-the-board and maintain Elo 800+

Positional play takes center stage on the strategic thinking axis. You evaluate pawn structures, weak squares, and piece activity using Silman's imbalance analysis. You read opponent plans, play prophylactic moves, and plan transitions into favorable endgames. On the match management axis, time allocation during games and psychological reset in losing positions begin to affect competitive results. (Approximately Elo 1200-1600)

• Can analyze pawn structures (isolated, connected, passed pawns) and formulate plans
• Can identify weak squares and outposts, and position pieces accordingly
• Can assess the advantage of the bishop pair and when to leverage it
• Can read the opponent's strategic intentions and play prophylactic moves
• Can determine the right moment to transition from middlegame to endgame
• Can apply basic rook endgame principles (Lucena and Philidor positions)
• Can identify and record 3+ key turning points in own games without engine analysis
• Can shift from emotional reactions to practical goals (drawing chances, complicating positions) in losing positions, with 3+ games where this led to a draw or comeback

All four axes converge at this stage. You calculate and execute complex multi-motif tactical combinations while comprehensively evaluating dynamic positional factors. Time allocation strategies based on position complexity and psychological stability in tournament settings become essential. You systematically analyze your weaknesses and begin metacognitively monitoring your own decision-making process. (Approximately Elo 1600-2000)

• Can accurately calculate forcing lines of 5+ moves
• Can execute complex tactics (fork + pin, deflection + skewer, etc.) and maintain a puzzle rating of 1800+
• Can manage time efficiently across classic, rapid, and blitz controls with time-loss defeat rate below 10%
• Can maintain a personal game database of 50+ games and analyze weakness patterns
• Can prepare specific openings to a depth of 10+ moves in key variations
• Can study 5+ opponent games and conduct pre-tournament preparation
• Can develop and apply a time allocation strategy that varies based on position complexity across opening, middlegame, and endgame phases
• Can record your thought process at each critical position before engine review, then compare with engine analysis to identify biases in your decision-making patterns

On the strategic thinking axis, you stay current with opening theory trends and develop your own novel variations. On the cognitive development axis, you move beyond self-training to systematically coaching others, performing advanced engine analysis, and contributing to the chess community through theoretical innovations. On the match management axis, you read opponents' time usage patterns and move selection tendencies in real time to adjust your strategy mid-game. (Approximately Elo 2000-2400)

• Can track latest theoretical trends in main openings and update own repertoire at least monthly
• Can discover novelties in existing opening variations and employ them in competitive games
• Can perform deep analysis (depth 30+) of complex positions using chess engines (Stockfish, Leela, etc.)
• Can maintain a FIDE Elo rating of 2000+ in official tournaments
• Can analyze other players' games and provide specific move-by-move improvement suggestions
• Can design structured training programs of 8+ weeks for players rated Elo 1600 or below
• Can observe opponents' time usage patterns and move selection tendencies during games and adjust strategy in real time, with 5+ documented cases

You have reached the highest level across all four axes. You create new strategic systems or opening theories and have reached the world's highest level at Elo 2400 or above. You recognize the structural limitations of your own thinking model and compensate for them. You pass accumulated competitive wisdom to the next generation, influencing the direction of chess development and directly contributing to the growth of future players.

• Can earn the GM title or achieve a FIDE Elo of 2500+
• Can develop an original opening system or strategic theory adopted by other players
• Can achieve top 20% results in world-level tournaments (Olympiad, continental championships, etc.)
• Can systematically share chess knowledge through 1+ publications (books, papers, lecture series)
• Can coach players rated Elo 2000+ and drive 100+ Elo improvement
• Can participate in major decision-making and directional discussions (federation committees, tournament regulations, etc.) in the chess world
• Can specifically identify which position types or match situations expose weaknesses in your own chess thinking model, and design and execute a training system to compensate for those limitations