पियाजे के संज्ञानात्मक विकास के सिद्धांत के आधार पर सूची-I (आयु चरण) को सूची-II (मुख्य उपलब्धियां) से सुमेलित कीजिए: सूची-I (a) 0-2 वर्ष (b) 2-7 वर्ष (c) 7-11 वर्ष (d) 12 वर्ष-वयस्क सूची-II (i) तार्किक विचारों के विभिन्न रूप (ii) वस्तु स्थायित्व (Object permanence) (iii) वस्तुओं या घटनाओं का प्रतीकात्मक प्रतिनिधित्व (iv) अमूर्त सिद्धांतों को समझना सही विकल्प चुनिए:

According to Jean Piaget, mathematical knowledge is primarily acquired through:

How does Piaget's theory explain children's process of learning mathematical concepts?

A Class 2 teacher notices that when she pours water from a short, wide glass into a tall, thin one, her students insist that the taller glass holds more water. Based on Piaget's theory, which stage of cognitive development are these students most likely in, and what concept are they struggling with?