Five Strands Of Mathematical Proficiency Pdf
National Research Council. (2001). Adding it up: Helping children learn mathematics. J Kilpatrick, J. Swafford, and B. Findell (Eds.). Math Learning Study Committee, Center for Education, Division of Behavioral and Social Sciences and Education. Washington, DC: National Academy Press.
The Five Strands of Mathematics Proficiency
(1) Conceptual understanding
refers to the "integrated and functional grasp of mathematical ideas", which "enables them [students] to learn new ideas by connecting those ideas to what they already know." A few of the benefits of building conceptual understanding are that it supports retention, and prevents common errors. (NRC, 2001, p. 116)
Modeling Mathematics
Mathematics Vocabulary
Concept mapping
(2) Procedural Fluency (a.k.a. Computing)
is defined as the skill in carrying out procedures flexibly, accurately, efficiently, and appropriately.Mental gymnastics- Flexibility with numbers
Challenge 24-Flexibility with numbers
Peer Coach-explaining how to
Math Detective-detecting error patterns
(3) Strategic competence
is the ability to formulate, represent, and solve mathematical problems. (NRC, 2001, p. 116)
Strategy cards
mathematics discourse
Questioning guide
Got Tools
Stand up, Pair up, Share (trade)
(4) Adaptive reasoning
is the capacity for logical thought, reflection, explanation, and justification.(NRC, 2001, p. 116)
Poster Proofs
Convince me
Questioning
Math talk
Reflection on problem solving
(5) Productive disposition
is the inclination to see mathematics as sensible, useful, and worthwhile, coupled with a belief in diligence and one's own efficacy. (NRC, 2001, p. 116)(NRC, 2001, p. 116)
Math Happenings
Literature and Math
Arts and Math
Movie in Math
Puzzles in Math
Junior Architect
VISIBLE THINKING STRATEGIES
Core Teaching Practices from the Principles to Action, NCTM (2014)
Implement tasks that promote reasoning and problem solving. Effective teaching of mathematics engages students in solving and discussing tasks that promote mathematical reasoning and problem solving and allow multiple entry points and varied solution strategies.
Cognitive Demand
Support productive struggle in learning mathematics. Effective teaching of mathematics consistently provides students, individually and collectively, with opportunities and supports to engage in productive struggle as they grapple with mathematical ideas and relationships.
Productive Struggle
Build procedural fluency from conceptual understanding. Effective teaching of mathematics builds fluency with procedures on a foundation of conceptual understanding so that students, over time, become skillful in using procedures flexibly as they solve contextual and mathematical problems.
Establish mathematics goals to focus learning. Effective teaching of mathematics establishes clear goals for the mathematics that students are learning, situates goals within learning progressions, and uses the goals to guide instructional decisions.
Facilitate meaningful mathematical discourse. Effective teaching of mathematics facilitates discourse among students to build shared understanding of mathematical ideas by analyzing and comparing student approaches and arguments.
Pose purposeful questions. Effective teaching of mathematics uses purposeful questions to assess and advance students' reasoning and sense making about important mathematical ideas and relationships.
TeacherQuestions
DevelopingMathThinking
Elicit and use evidence of student thinking. Effective teaching of mathematics uses evidence of student thinking to assess progress toward mathematical understanding and to adjust instruction continually in ways that support and extend learning
http://books.nap.edu/catalog.php?record_id=9822
Jennifer Suh, Assistant Professor, Graduate School of Education, College of Education and Human Development teaches an EDCI 552 course, Mathematics Methods for the Elementary Classroom, at George Mason University's Fairfax Campus. Photo by Alexis Glenn/George Mason University
Five Strands Of Mathematical Proficiency Pdf
Source: http://drjennifersuh.onmason.com/teaching/five-strands-of-mathematics-proficiency/
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