We present an operational semantics for a functional language with first-class continuations and transparent constructs for parallelism fork and pcall. The sequential semantics of programs with first-class continuations is preserved when parallel evaluation is allowed, by verifying whether some expressions have returned a value before applying a continuation. These expressions are the ones that are evaluated before this continuation is applied in a left-to-right sequential order. An implementation is proposed using a notion of higher-order continuation that we call metacontinuation. This semantics is costless when first-class continuations are not used. Several programs also illustrate the programming style that can be adopted in such a language.