PA28 instructor reported an near midair collision in the vicinity of E68.

Narrative:

I was with my students practicing maneuvers southwest of E68 at 5;500 feet. I picked up a signal for traffic headed northbound and I was in a southbound direction. To avoid crossing in front of traffic I made a hard left turn because he was in a northwesterly direction. When I saw on my ipad that the aircraft was past me I made another 180 degree turn toward the south to start setting up for stalls. Immediately when I turned around my ads-B alerted me that traffic was now headed in my direction and was extremely close. To ensure that my stratus was not malfunctioning I flew straight and level and the aircraft was now turning towards my plane again. So I immediately turned right and pitched down in an evasive way to pick up speed and get away. The plane stayed at same altitude and looked as if he was turning left away from me. At this time I was calling on the CTAF to let the traffic know what I my intentions were and where I was headed and nothing ever came over frequency. I continued to make radio calls and asking for him to come over frequency; but never did. This whole time I am looking outside to identify traffic; but could never locate because he kept flying behind me and almost following me with every move that I made. I ended up abandoning the area to head back to terminate my flight.

Original NASA ASRS Text

Title: PA28 instructor reported an NMAC in the vicinity of E68.

Narrative: I was with my students practicing maneuvers SW of E68 at 5;500 feet. I picked up a signal for traffic headed northbound and I was in a southbound direction. To avoid crossing in front of traffic I made a hard left turn because he was in a northwesterly direction. When I saw on my iPad that the aircraft was past me I made another 180 degree turn toward the south to start setting up for stalls. Immediately when I turned around my ADS-B alerted me that traffic was now headed in my direction and was extremely close. To ensure that my Stratus was not malfunctioning I flew straight and level and the aircraft was now turning towards my plane again. So I immediately turned right and pitched down in an evasive way to pick up speed and get away. The plane stayed at same altitude and looked as if he was turning left away from me. At this time I was calling on the CTAF to let the traffic know what I my intentions were and where I was headed and nothing ever came over frequency. I continued to make radio calls and asking for him to come over frequency; but never did. This whole time I am looking outside to identify traffic; but could never locate because he kept flying behind me and almost following me with every move that I made. I ended up abandoning the area to head back to terminate my flight.

Data retrieved from NASA's ASRS site and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.

Attributes
ACN	1588114
Time
Date	201810
Local Time Of Day	0601-1200
Place
Locale Reference	E68.Airport
State Reference	AZ
Environment
Flight Conditions	VMC
Light	Daylight
Aircraft 1
Make Model Name	PA-28 Cherokee/Archer/Dakota/Pillan/Warrior
Operating Under FAR Part	Part 91
Flight Phase	Cruise
Route In Use	None
Flight Plan	None
Person 1
Function	Pilot Flying Instructor
Qualification	Flight Crew Multiengine Flight Crew Flight Instructor Flight Crew Instrument Flight Crew Commercial
Experience	Flight Crew Last 90 Days 55 Flight Crew Total 306 Flight Crew Type 45
Events
Anomaly	Conflict NMAC Deviation - Procedural Published Material / Policy
Miss Distance	Horizontal .5 Vertical 0