How would you implement math instruction through problem solving in your own classroom?

Step 1: Construct a concept map to answer the following focus question: How would you implement math instruction through problem solving in your own classroom? Select a grade level and draw a concept map. In your concept map, include big ideas and make connections among them to construct a strong conceptual framework for teaching.

Utilize the following concepts to address the focus question. You will likely need to add additional concepts to fully address the question. These may come from the list or include your own personal concepts. Your concept map should have between 15 and 25 concepts.
Organize the concepts you select into clusters or categories based on their meaning and relationships – try to form a hierarchy of ideas
Articulate linking phrases to define connections between concepts
Review the concept map for accuracy, clarity, and coherence of the structure (see scoring rubric)
Early Childhood Education

Mathematical thinking
Recognize patterns and categories
Problem solving
Counting and cardinality
Number operations
Algebraic and geometric concepts such as equality/inequality, lines and space, estimation and measurement
Observation, comparison, reasoning, estimation and measurement, generating and testing theories, and documenting through writincixg, drawing, and graphical representation

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