LAC 28:CXLVI.325. Mathematics Content Knowledge Competencies

A. Utilizing the academic standards for mathematics for the certification grade band and adjacent grade bands, the teacher candidate, at minimum, demonstrates the following competencies to plan for instruction, teach, assess, and monitor student learning: 1. provides exact, explicit definitions of mathematical ideas and concepts using appropriate mathematical language; 2. builds foundational numeracy by providing precise, accurate, useful descriptions of algorithms and procedures, including descriptions of the accuracy of alternative procedures or algorithms while blending concepts, procedures, strategies, problem-solving skills, and dispositions; 3. exhibits an integrated, functional grasp of foundational numeracy, mathematical concepts, and procedures along the grade K-12 mathematical progressions so that all students are prepared for success in Algebra I and beyond; 4. explains concepts and executes procedures flexibly, accurately, efficiently, and appropriately; 5. models the mathematical dispositions and habits of mind described in the practice standards and integrated within high-quality instructional materials, including precision of language, logical thought, reflection, explanation, and justification; 6. recognizes vertical alignment in K-12 mathematical standards and uses the connections between the topics identified in the relevant standards and problems arising in real-world applications; 7. builds positive math dispositions while portraying mathematics as sensible, useful, and worthwhile; and 8. teaches foundational mathematics skills, explicitly and systematically applying strategies to assess instructional effectiveness.