A method for managing a memory apparatus and the associated memory apparatus thereof and the associated controller thereof are provided, where the method includes: temporarily storing data received from a host device into a volatile memory in the controller and utilizing the data in the volatile memory as received data, and dynamically monitoring the data amount of the received data to determine whether to immediately write the received data into at least one NV memory element; and when a specific signal is received and it is detected that specific data having not been written into a same location in a specific block configured to be an MLC memory block within a specific NV memory element of the at least one NV memory element for a predetermined number of times exists in the received data, immediately writing the specific data into another block in the at least one NV memory element.