Introduction. Each group will analyze the
mathematical content of a given sample text. An Explanation
of how the analysis should be conducted is given below. Projects that are
insightful, clearly articulated, and mathematically accurate will be awarded the most points. Background. The Mathematics Learning Study Committee of the National
Research Council has put
forth a model of mathematical understanding called mathematical proficiency .
consists of the five following strands:
• conceptual understanding - comprehension of mathematical
concepts , operations , and relations
• procedural fluency - skill in carrying out procedures flexibly, accurately,
efficiently, and appropriately
• strategic competence - ability to formulate , represent, and solve mathematical
• adaptive reasoning- capacity for logical thought , reflection, explanation, and
• productive disposition - habitual inclination to see mathematics as sensible,
useful, and worthwhile,
coupled with a belief in diligence and one’s own efficacy.
Figure 1. The intertwined strands of mathematical
Directions. Your project should consist of the
following in the form of a written or typed paper less than two pages .
• A brief description of the mathematical concept(s) the
given investigation covers. In other words,
what should your students get from this lesson in a nutshell.
• Determine which of the five strands of mathematical
proficiency, given above, are covered in your
sample lesson. Give an explicit example of the content for each strand that you
have determined to
be in the lesson.
• If you find that some strands were not covered in the
lesson, then modify the sample lesson so that
it incorporates the missing strands.
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