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This Concept Map, created with IHMC CmapTools, has information related to: wintera_CMap3, assessed through self-assessment, productive disposition a combination of inclination to see mathematics as sensible and useful, assessed through feedback, NCTM process standards identified importance of communication, 8 practice standards balanced between understanding, Standards for Mathematical Practice describe ways students should engage with math, National Research Council identified importance of conceptual understanding, Attend to precision all require adaptive expertise, scaffolded through modeling, self-assessment to promote metacognitive thought, NCTM process standards identified importance of problem solving, 2. Developing phase relies on procedural knowledge, strategic competence characterized as formulating, representing, and solving problems, productive disposition a combination of belief in diligence and one's own capacity, procedural fluency characterized as carrying out procedures flexibly, accurately, and efficiently, 8 practice standards at all grade levels Reason abstractly and quantitatively, scaffolded through teacher analysis of student practice, 1. Novice phase relies on content knowledge, ways students should engage with math balanced between procedure, "glue" that holds reasoning together characterized as adaptive reasoning