Investigational groups will use the mathematical process to integrate and guide their learning by connecting to all strands.
Problem Solving:
• develop, select, and apply problem-solving strategies as they pose and solve problems and
conduct investigations, to help deepen their mathematical understanding;
Reasoning and Proving:
• develop and apply reasoning skills (e.g., classification, recognition of relationships, use
of counter-examples) and defend an arguments
Reflecting:
• demonstrate that they are reflecting on and monitoring their thinking to help clarify their
understanding as they complete an investigation or solve a problem (e.g., by comparing
and adjusting strategies used, by explaining why they think their results are reasonable, by
recording their thinking in a math class blog)
Selecting Tools and Computational Strategies:
• select and use a variety of concrete, visual, and electronic learning tools and appropriate
computational strategies to investigate mathematical ideas and to solve problems
Connecting:
• make connections among mathematical concepts and procedures, and relate mathematical
ideas to situations or phenomena drawn from other contexts (e.g., other curriculum areas,
daily life, sports)
Representing:
• create a variety of representations of mathematical ideas (e.g., by using physical models,
pictures, numbers, variables, diagrams, graphs, onscreen dynamic representations), make
connections among them, and apply them to solve problems
Communicating:
• communicate mathematical thinking orally, visually, and in writing, using everyday language,
a basic mathematical vocabulary, and a variety of representations, and observing
basic mathematical conventions
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