Develops knowledge of estimation, including how to efficiently and accurately estimate the results of calculations, as well as how to determine when estimation is appropriate. Comments: Next Steps for LEA/School to Strategic Competence/Problem Solving 4-3-2-1 Increase Level of Implementation 3.3 Good Instruction in Problem Solving: LEA: School: Provides opportunities for students to figure out, formulate and solve their own mathematical problems from real-world situations. Requires students to develop a “toolkit” of solution strategies and the reasoning ability to know which strategies are best suited to solve particular problems. Requires students to generate mental models of problems; represent those models either numerical, symbolically, verbally or graphically; and then solve those problems. Comments: Next Steps for LEA/School to Adaptive Reasoning 4-3-2-1 Increase Level of Implementation 3.4 Good Instruction in Adaptive Reasoning: LEA: Requires students to communicate, explain and justify School: their mathematical reasoning in multiple ways (e.g., verbally, written, with manipulatives, graphs, tables, symbols, etc.) Provides opportunities for students to connect new learning to concepts and procedures they already know well. Provides opportunities for students to reflect on and refine their reasoning and problem solving strategies.
Develops knowledge of estimation, including how to efficiently and accurately estimate the results of calculations, as well as how to determine when estimation is appropriate. Comments: Strategic Competence/Problem Solving 4-3-2-1 Next Steps for LEA/School to Increase Level of Implementation 3.3 Good Instruction in Problem Solving: LEA: School: Provides opportunities for students to figure out, formulate and solve their own mathematical problems from real-world situations. Requires students to develop a “toolkit” of solution strategies and the reasoning ability to know which strategies are best suited to solve particular problems. Requires students to generate mental models of problems; represent those models either numerical, symbolically, verbally or graphically; and then solve those problems. Comments: Adaptive Reasoning 4-3-2-1 Next Steps for LEA/School to Increase Level of Implementation 3.4 Good Instruction in Adaptive Reasoning: Requires students to communicate, explain and justify their mathematical reasoning in multiple ways (e.g., verbally, written, with manipulatives, graphs, tables, symbols, etc.) LEA: School: Provides opportunities for students to connect new learning to concepts and procedures they already know well. Provides opportunities for students to reflect on and refine their reasoning and problem solving strategies.
Grade%209%20-%2012%20Math%20Reflective%20Summary%2006.15.2012%20FINAL(1).docx