EDU-740 Mathematical Explorations II & Field
This course introduces methods for mathematical instruction for all learners and aims to develop pre-service elementary school teachers' pedagogical content knowledge. Learning theories, effective pedagogical practices addressing developmentally appropriate topics in P-3 and K---6 mathematics will be covered, with an emphasis on Cognitively Guided Instruction (CGI), research-based learning trajectories, and asset-based instructional strategies. This is a hands-on, workshop-oriented course, whose focus is to build the underlying conceptual knowledge of future educators. Students will work with manipulatives to (a) explore mathematics, (b) learn ways to teach mathematics content to children, (c) understand and apply methods of assessing students' mathematical skills--including the use of learning trajectories to guide remediation-and (d) build procedural fluency from conceptual understanding. Differentiation of instruction, integration of children's literature, and connections to the NJSLS Mathematical Practices (MPI-MP8) will be explicitly embedded in each instructional sequence. Candidates are required to demonstrate proficiency of skills through assigned field-based projects aligned with the New Jersey Student Leaming Standards (NJSLS) and, where applicable, -the New Jersey Pre-school Teaching and Learning Standards (PTLS). This course provides candidates with a comprehensive knowledge of National Council of Teachers of Mathematics (NCTM) Principles and Standards for School Mathematics and the New Jersey Student Learning Standards (NJSLS). Candidates are required to complete field experience related to math instruction, including implementation of CGl-informed lessons, use of diagnostic assessments, and planning of asset-based interventions.