Turn your slow cooker to high. Pour in the unsweetened coconut milk and vegetable broth. Note that the coconut milk will appear 'chunky' until it warms up.
Peel your apples and chop them into 1/2 inch pieces (does not need to be perfect). Add them to the slow cooker.
Not add all of the spices, minced garlic, curry paste and soy sauce paste. Stir to combine.
Place chicken strips in the slow cooker. At this time, if you are choosing to cook your vegetables in the curry, add them to the slow cooker. If you are choosing to cook them in the oven before the curry is finished cooking, wait.
Place the lid on the slow cooker and cook on high for 4-6 hours, or on low for 7-8 hours.
If you are baking the vegetables in the oven, pre-heat your oven to 450 degrees about 45 minutes prior to the curry being finished cooking. Toss the veggies with olive oil and salt, and spread over a foil lined baking sheet. Bake without touching for 30 minutes to allow a few ends to char. Remove from the oven and add to the curry.
While the vegetables are cooking in the oven, now is the time to start your side. Cook according to package instructions (I made quick cooking barley, 2 cups of water to 1 cup barley).
15 minutes before your curry is finished cooking, scoop 4 tbsp into a small bowl. Mix it together with 2 tbsp of corn starch until there are no clumps, then add it back to the slow cooker. Stir to combine, and place the lid back on and cook for an additional 15 minutes to thicken the sauce.
Pour over barley or rice, and enjoy!