Scholdan represented Austria as a competitor at the 1933 World Championships. However, he became better known as a coach. He worked at the Broadmoor Skating Club in Colorado Springs, Colorado beginning in 1945.
His students included:
Eva Pawlik, the 1948 Olympic silver medalist
James Grogan, 1952 Olympic bronze medalist
Ina Bauer
Karol Kennedy / Peter Kennedy, the 1950 World pairs champions
Ronnie Robertson, the 1955 World silver medalist
In 1961, Scholdan and his 13-year-old son were among those killed in the crash of Sabena Flight 548, which was carrying the entire United States. Figure Skating team to the 1961 World Championships.
Aged 50 at the time of his death, he was travelling as the coach of Gregory Kelley, Stephanie Westerfeld, and Bill Hickox and Laurie Hickox. In Scholdan"s honor, the Professional Skaters Association"s annual awards are called "Electronic Data Interchange awards".
Scholdan was president of that organization from 1950 to 1954 and was inducted into the inaugural class of their Coaches Hall of Fame in 2001.