Junior High, Intermediate, Middle School Education and Teaching Commons^™

An Investigation Of The Instructional Norms Of Mathematical Communication When Students Present Geometry Proofs At The Board, Bukola T. Ake

Electronic Theses and Dissertations

Expert mathematical communication is a synthesis of speaking, writing, diagramming, and gesturing. What opportunities are there for secondary mathematics students to learn the discipline-specific ways in which these modalities can be combined to communicate proofs? In an initial effort to investigate this question, Dimmel and Herbst (2020) conducted a multimedia survey experiment to test a hypothesis about how secondary mathematics teachers expect students to communicate when presenting proofs at the board in secondary geometry classrooms. Their hypothesis, based on an analysis of episodes of instruction from a small sample of secondary geometry classrooms, was that teachers expected student presentations of …

Horizon Content Knowledge And Its Integration Into Physics Education Research: Case Study Analysis On Physical Science And Physics Teachers, Trevor A. Robertson

Electronic Theses and Dissertations

Teachers focused on just one year of instruction may neglect what students need most– a coherent structure of learning across disciplines that advances students’ understanding. The topic of coherence has been a major motivator for education research, including investigations in student- teacher interactions, epistemological beliefs, and large-scale curricular reform. One framework of knowledge, horizon content knowledge (HCK), can aid in describing the knowledge a teacher needs to see beyond their own instruction and provide a coherent structure for students.

While horizon content knowledge exists in one of the most widely adopted teacher frameworks of knowledge in mathematics, mathematical knowledge for …