CTET Pedagogy: Nature of Mathematics - Logical Reasoning, Pattern Recognition and Problem Posin question bank (Mathematics)

Teacher Suresh presents a puzzle to his class 3 students: "I am thinking of a two-digit number. The sum of my digits is 9, and the tens digit is twice the units digit. What number is it?" One student uses trial and error, while another systematically lists pairs that add to 9 and tests them. Which pedagogical value of mathematics is being emphasized here?

While introducing the concept of repeating patterns to class 2 students, teacher Fatima uses shapes and colors (e.g., Red circle, Blue square, Green triangle, Red circle, Blue square, ...). She asks students what comes next and why. A student replies, "Green triangle, because the color and shape sequence repeats in that exact order." This activity primarily promotes which mathematical skill?