Step 1: Understanding the Concept:
Developmentally Appropriate Practice (DAP) in early childhood education aligns pedagogical expectations with child developmental readiness.
Step 2: Detailed Explanation:
1. Statement I: The National Association for the Education of Young Children (NAEYC) defines Developmentally Appropriate Practice (DAP) as curriculum that is age-appropriate, individually tailored, play-based, and informed by continuous observation of children's emerging interests. Hence, Statement I is correct.
2. Statement II: A 3-year-old child's fine motor finger muscles and cognitive abstract numeral comprehension are not yet developed for formal pencil writing of numbers 1--10 and abstract number conservation (which develop around 5--6 years). Pushing formal writing at age 3 is developmentally inappropriate. Hence, Statement II is incorrect.
Step 3: Final Answer:
Thus, Statement I is correct but Statement II is incorrect, corresponding to option (C).