TFC CONFLICT BTWN A C152 AND A DASH 8 DURING AN UNAUTH TOUCH-AND-GO PERFORMED ON STUDENT PLT'S FIRST SUPERVISED XCOUNTRY FLT AT PSC; WA.

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IT WAS A STUDENT PLT'S FIRST DUAL XCOUNTRY FLT INTO AN UNFAMILIAR ARPT. I WAS ACTING AS CFI; BUT AS HE WAS PERFORMING WELL HE MADE ALL COMS WITH APCH. UPON INITIAL CONTACT WITH CHINOOK APCH; THE STUDENT STATED THAT WE WERE 'INBOUND TO PASCO.' WE INTENDED TO DO A TOUCH-AND-GO; BUT I DID NOT CATCH THE FACT THAT HE OMITTED THAT FROM HIS CALL. WE WERE CLRED TO ENTER A R BASE; LNDG #3 BEHIND A SENECA. I REPEATED THE CLRNC TO LAND; AND ON FINAL I BRIEFED MY STUDENT TO BE AWARE OF WAKE TURB; AND WHAT GLIDE PATH TO USE. WE COMPLETED OUR TOUCH-AND-GO. THE CTLR; BELIEVING WE WERE FULL STOP TFC CLRED A DASH 8 COMMUTER FOR TKOF. UPON REACHING APPROX 500-800 FT AGL THE TWR INSTRUCTED US TO MAKE AN IMMEDIATE R XWIND. I TOOK THE CTLS FROM THE STUDENT AND COMPLIED. THE DASH 8 PASSED BEHIND US AT WHAT MY STUDENT ESTIMATED AS 'ABOUT 1 MI' BEHIND US. TWR INFORMED THAT WE WERE CLRED TO LAND; NOT FOR A TOUCH-AND-GO. THE PROB STARTED WHEN I HAD ASSUMED THAT THE STUDENT HAD COMMUNICATED HIS INTENTION TO TOUCH AND GO. I WAS INVOLVED WITH EXPLAINING TO HIM HOW TO AVOID WAKE TURB AND 'AUTOMATICALLY' REPEATED THE CLRNC TO LAND -- ONCE AGAIN; NOT NOTICING THE DIFFERENCE BTWN OUR INTENTIONS AND THE CLRNC. I GUESS THIS COULD BE DESCRIBED AS BEING IN A 'SET' FRAME OF OPS. I THANKED THE TWR FOR THEIR HELP AND WE PROCEEDED ON TO COURSE. IT WAS A LEARNING EXPERIENCE FOR BOTH MY STUDENT AND MYSELF; AND I PLAN TO EMPHASIZE CLARITY OF COM IN THE FUTURE WITH ALL MY STUDENTS.