To build your static library for ARM you can use the NDK standalone toolchain.
Once you've compiled your .so, you can include the library in your project using the Android NDK make file (Android.mk) which will look like the following:
LOCAL_PATH := $(call my-dir)
LOCAL_SRC_FILES := my_module.so
LOCAL_C_INCLUDES := $(LOCAL_PATH)/include
include $(PREBUILT_SHARED_LIBRARY)
You'll want to make sure you include the headers (/include) in the right path.
Not sure if your intent is to ge back into Android-land with your code, but if you're looking to create a bridge between your .so/C/C++ code and Java, you'll need to describe the appropriate JNI methods in C, build out the necessary Java classes with the static System.loadLibrary('my_module') imports and native method declarations mapped to your JNI methods.