Which of the following psychological statements is most authentic and scientifically valid regarding the real psychological implications of the three basic psychological needs—Autonomy, Competence, and Relatedness—encompassed within the 'Self-Determination Theory' (SDT) proposed by Richard M. Ryan and Edward L. Deci, and the scientific management of students' intrinsic motivation, cognitive engagement, and mental well-being in classroom teaching?

Detailed Explanation of Self-Determination Theory (SDT)

According to the Self-Determination Theory (SDT) propounded by Richard M. Ryan and Edward L. Deci, human motivation, development, and well-being are deeply rooted in three universal basic psychological needs:

• Autonomy: The need to feel in control of one's own actions and goals.
• Competence: The need to feel effective in dealing with the environment and using one's skills.
• Relatedness: The need to experience a sense of belonging and attachment to others.

Option (b) accurately reflects how fulfilling these three needs within a classroom environment fosters high levels of intrinsic motivation, active cognitive engagement, and psychological well-being.