Five Strands of Mathematical Literacy

Recognizing that no term captures completely all aspects of expertise, competence, knowledge, and facility in mathematics, we have chosen mathematical proficiency to capture what we think it means for anyone to learn mathematicssuccessfully. Mathematical proficiency, as we see it, has five 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 problems

adaptive reasoning—capacity for logical thought, reflection, explanation, and justification

productive disposition—habitual inclination to see mathematics as sensible, useful, and worthwhile, coupled with a belief in diligence and one’s own efficacy.


Cognitive tools.

Folksonomies: education mathematics

/science/mathematics (0.697682)
/religion and spirituality/christianity/protestantism (0.439808)
/technology and computing (0.214393)

Literacy Cognitive tools (0.912176 (neutral:0.000000)), mathematical proficiency (0.881581 (positive:0.506666)), productive disposition—habitual inclination (0.853114 (positive:0.668133)), procedural fluency—skill (0.655921 (neutral:0.000000)), conceptual understanding—comprehension (0.639723 (neutral:0.000000)), logical thought (0.631271 (neutral:0.000000)), adaptive reasoning—capacity (0.624630 (neutral:0.000000)), strategic competence—ability (0.620562 (neutral:0.000000)), mathematical concepts (0.612659 (neutral:0.000000)), mathematical problems (0.603828 (negative:-0.355769)), strands (0.564815 (neutral:0.000000)), mathematics (0.477077 (positive:0.668133)), sensible (0.461395 (positive:0.668133)), efficacy (0.460270 (positive:0.663351)), justification (0.459424 (neutral:0.000000)), diligence (0.454050 (positive:0.663351)), reflection (0.450220 (neutral:0.000000)), belief (0.445796 (positive:0.663351)), term (0.442985 (positive:0.442380)), aspects (0.442836 (positive:0.442380)), expertise (0.442761 (positive:0.442380)), knowledge (0.441684 (positive:0.215455)), facility (0.441574 (neutral:0.000000)), procedures (0.439591 (neutral:0.000000)), operations (0.439163 (neutral:0.000000))

Mathematical Literacy Cognitive:PrintMedia (0.938359 (neutral:0.000000))

Critical thinking (0.957412): dbpedia | freebase | opencyc | yago
Cognition (0.947195): dbpedia | freebase | opencyc
Logic (0.914328): dbpedia | freebase | opencyc
Thought (0.864335): dbpedia | freebase | opencyc
Mathematics (0.854755): dbpedia | freebase | opencyc
Knowledge (0.830161): dbpedia | freebase
Truth (0.782063): dbpedia | freebase
Epistemology (0.754457): dbpedia | freebase | opencyc

 Adding It Up
Books, Brochures, and Chapters>Book:  Committee, Education, Education, Council (2001-11-27), Adding It Up, National Academies Press, Retrieved on 2014-04-21
  • Source Material []
  • Folksonomies: education