Structure and sensibilities in mathematics education: a Husserlian view of the horizon

This conceptual paper contributes to conversations about the mathematics relevant for teaching and the experiences in undergraduate studies that can serve future teachers. The construct of knowledge at the mathematical horizon is refined, with attention paid toward the Husserlian conceptualization of the inner and outer horizons of an object. Inspired by Felix Klein’s approaches to mathematics education and teacher preparation, this paper considers implications for teacher education of embracing and making explicit mathematical structure and sensibilities that can foster a connected and flexible view of the discipline.