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1
Whisk the flour, dashi, and soy sauce together in a bowl until the batter is entirely smooth and notably thin — closer in consistency to cold dashi broth than to pancake batter. The batter should run off a spoon in a continuous, unbroken stream with no resistance. Set aside the shredded cabbage, mentaiko, mochi, and dried seafood in the same bowl and combine them loosely with a small amount of the batter — enough to bind but not to submerge; the filling should be damp, not wet.
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2
Heat a flat iron griddle or heavy cast-iron skillet over medium heat. Add the oil and distribute it evenly across the surface. The surface is ready when a drop of batter placed on it sizzles immediately and sets at the edges within three to four seconds.
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3
Place the dampened filling mixture onto the griddle and shape it into a circular ring — a dam approximately 8 to 10 cm in diameter — pressing the walls of cabbage and filling firmly so they hold their form. Maintain this dam undisturbed for two full minutes. This is where the dish lives or dies: if the dam collapses before the batter is added, the liquid batter will spread uncontrolled across the entire griddle surface, producing an uneven, thin sheet rather than the concentrated, layered mass that allows the characteristic semi-congealed interior and caramelized edge to develop together.
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4
Pour the remaining liquid batter steadily into the center of the dam. Do not stir. Allow the batter to fill the interior and begin to cook against the hot griddle. After approximately one minute, when the edges of the batter within the dam show the first signs of setting — a faint opacity creeping inward from the filling walls — use the small metal spatula (teko) to break down the dam walls and fold the filling into the batter in a single, continuous circular motion. The mixture will spread slightly; this is correct.
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5
Leave the mass to congeal over low-medium heat for 3 to 5 minutes without pressing or manipulating it. The monjayaki will not set fully; the interior will remain semi-liquid and glossy while the perimeter develops a dry, darkening crust. The caramelized edge (okoge) is correct when it has contracted slightly from the outer rim, deepened to a golden-brown, and releases a faint sweet-smoky smell.
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6
Scatter aonori and katsuobushi across the surface. Serve directly from the griddle. Each portion is eaten by scraping with the teko spatula from the outer caramelized edge inward, gathering the crunchy border with the softer, partially-congealed interior in each bite. The eating continues slowly over 10 to 15 minutes as the interior gradually firms.