Preheat the oven to 350 degrees F and line an 8×8-inch baking pan with parchment paper, leaving a few inches overhang on two sides so you can easily lift the bars out when they're cooled.: As the oven warms you will notice a faint heat wave from the open door, and the air in your kitchen begins to feel cozy. This preheating step ensures even baking so the base cooks through while the top browns just right. If you skip this and place the pan in a cold oven you risk uneven texture, with an underbaked center. Keep the pan in the center rack for balanced airflow. When lining the pan, press the parchment into the corners so the dough sits flat. A common slip is cutting the parchment too short, which makes removing the bars difficult.
To a medium bowl, add the oats, flour, sugar, melted butter, milk, vanilla, and salt. Stir well to combine into a uniform mixture. It will be thick and it should hold together easily when pressed between your fingers.: As you stir, the aroma of butter and vanilla will bloom, and the mixture will transform from dusty dry bits to a cohesive dough. The tactile check by pressing a bit between your fingers lets you judge moisture; it should hold without being sticky. This combination of textures is essential, because it determines how well the base will compress and bake. If the mixture seems too crumbly, your butter may be too cool or you might need a touch more milk. Overmixing can toughen the crumb, so fold gently until uniform.
Set aside 1 cup of the batter to use as the topping.: Separating the topping gives you the crumble layer that puffs and browns attractively. The reserved dough will be slightly looser from the mixing, and when crumbled on top it creates the classic streusel look. Keep it chilled briefly if your kitchen is warm so it does not become greasy. A common mistake is forgetting to reserve this portion, which leaves you without a distinctive top texture.
Add the remaining batter mixture to the bottom of the prepared pan, pressing evenly to cover completely.: Pressing the dough into the pan causes it to compact and form a stable base. Use even pressure and check the edges for complete coverage, because thin spots will brown faster. The visual cue to look for is a smooth, packed surface with no loose crumbs. If you press too hard you can compress all the air out and end up with a dense bar; press firmly but with a light, consistent touch across the whole pan.
Evenly spread the strawberry preserves over the batter. Then, sprinkle on the strawberries and press them down very slightly. Sprinkle with lemon zest, if using to add more bright flavor.: As you spoon the preserves, you will see a glossy red layer forming, and spreading gently ensures the jam does not sink into the base. Add the diced strawberries in an even layer so each bar gets fruit. Pressing them down slightly helps them adhere without bruising. The lemon zest will glint in the jam, offering aromatic lift during baking. Avoid overloading with preserves, since excess jam can make the bars soggy in the middle.
Crumble the remaining dough mixture over top to cover evenly and press it down slightly.: The topping will scatter into a textured blanket that bakes to a golden, slightly crunchy crust. When crumbling, aim for an even distribution so that large gaps do not expose too much jam. Pressing gently sets the crumbs so they bake as one cohesive layer without flattening them entirely. If you press too hard the topping will lose its crumble and become a compressed crust.
Bake for 35-40 minutes or until lightly browned. Remove pan from the oven and let cool on a wire rack until room temperature.: During baking you will notice the kitchen filling with a warm, fruity aroma and the top turning a pale golden brown. The sound is quiet, but visually the edges will pull away slightly from the pan, and the center should look set not jiggly. Cooling on a wire rack prevents steam from condensing under the bars, which would make them soggy. A typical error is cutting into the bars while they are still hot, which causes them to fall apart; patience here rewards you with clean slices.
Use the parchment paper to lift the cooled bars out of the pan. Slice into bars carefully using a serrated knife.: When fully cooled the bars will have a firm yet tender crumb, and the jam layer will be set. Lifting with the parchment gives a clean release. A serrated knife saws through the top crumble without crushing it, and wiping the blade between cuts prevents dragging jam across the next slice. Pressing down slowly but steadily as you cut helps maintain neat edges. Rushing this step can compress the bars and smear the jam.