Date: 201709
Local time of day: 1201-1800
Location: ZZZ.Airport, US
Flight conditions: VMC
Weather elements / visibility: 10
Light: Daylight
Aircraft: PA-28 Cherokee/Archer/Dakota/Pillan/Warrior
Operator: Personal
Operating under: Part 91
Flight plan: IFR
Mission: Training
Flight phase: Landing
ATC / advisory: CTAF ZZZ
Second aircraft: Skyhawk 172/Cutlass 172
Reporter organization: Personal
Reporter function: Instructor; Pilot Not Flying
Reporter qualification: Flight Crew Commercial; Flight Crew Multiengine; Flight Crew Flight Instructor; Flight Crew Instrument
Human factors: Communication Breakdown; Distraction; Situational Awareness
Anomaly: Conflict Ground Conflict; Less Severe; Conflict Airborne Conflict; Conflict Ground Conflict; Critical; Deviation / Discrepancy - Procedural Published Material / Policy
Detector: Person Flight Crew
When detected: In-flight
Result: Flight Crew Took Evasive Action
Contributing factors: Human Factors
Primary problem: Human Factors

Narrative: My instrument student and I were on VOR-A approach to Runway 03. Told student to remove foggles over the VOR station 2 miles southwest of the runway at 1;700 feet MSL (1;153 AGL). Heard airplane on radio announce turning downwind. Made radio call at 1 mile final for touch and go. Downwind traffic announced turning base. Student and I look to our left to see a Cessna turn left base before even passing parallel to us. We called and asked if he saw us and would maintain proper spacing. He replied 'It's okay; I got it.' Student and I were both anxious (in my case; a friend died in a plane crash under almost identical circumstances). When we touched down I was about to tell my student to make it a full stop to make sure the other plane wouldn't land behind us since he was so close; but my student was making it a full stop on his own. Our only mistake in this was we forget to make a radio call on our intentions of making it a full stop landing; but we were trying to land and get clear of the runway. We touched down and began to taxi off in the first taxiway north of the overlapping Runway. I filmed while taxiing off looking behind us since I knew the other plane was close. He was touching down when we were just getting off the main part of the runway (not even close to the hold short markings). He makes a full stop landing behind us and takes the same taxiway. [We exchanged some coarse words over the radio.]After that I couldn't remember verbatim what was said; but I told my student that I don't know what the other pilot's problem was; but not to let it bother him. I told him to laugh it off and think about how he will have a new story to tell. In the video I took I did not get the other aircrafts tail number or I might report him to the FAA.Relevant safety factors learned:-Attitude in flight matters. Do not be anti-authority or macho.-Do not land on an occupied runway; go around.-Do not turn base before passing aircraft on final.-Maintain proper spacing in the pattern area.-Always be ready for if the other plane does something unexpected; and have the time/spacing to deal with it.-Communicate your intentions accurately; if they change give notice.




Synopsis: A flight instructor reported they experienced an airborne and ground conflict at a non-towered airport with a C172.