Math problem-solving is difficult for students and instructors. Metacognition abilities may help tackle these problems. Math problem-solving success depends on metacognitive abilities and methods. These abilities and tactics benefit students and instructors. Metacognitive abilities and methods are examined in mathematics problem-solving for instructors and students. A qualitative case-study design was utilised. to describe things deeply and broadly. Metacognitive abilities and methods such as task analysis, planning, monitoring, checking, and reflection, as well as self- and group-monitoring, reading and writing, self-regulation (SR), and self-assessment (SA), helped students solve arithmetic problems. Group talks and self-reflection help pupils tackle challenges, too. Meta-cognition for problem-solving is recommended for students and instructors.