• Cognition-driven pedagogy: mathematics instruction increasingly aligns with cognitive science, emphasizing problem solving, learners' mental processes, and curricula designed to reflect how students think and reason across grades [4], [16], [3], [14], [18].

• Writing and language as tools for mathematical understanding: studies treat writing as a cognitive tool to articulate reasoning, construct knowledge, and foster mathematical communication and reflection in classrooms [5], [10], [13].

• Gender, equity, and affect in math learning: a cluster of studies examines sex differences in reasoning, engagement, and anxiety, and how these shape persistence and achievement in K-12 mathematics [1], [6], [20], [19].

• Curriculum development and classroom effectiveness: empirical work links program design, teaching strategies, and student outcomes in math education, highlighting the role of curricula in promoting problem solving and engagement [15], [4], [14], [20].