id: 06597652
dt: j
an: 2016d.00457
au: Watanabe, Tad
ti: Visual reasoning tools in action.
so: Math. Teach. Middle Sch. 21, No. 3, 152-160 (2015).
py: 2015
pu: National Council of Teachers of Mathematics (NCTM), Reston, VA
la: EN
cc: D53 E53
ut: reasoning; visualization; problem solving; sense making; diagrams
ci:
li: http://www.nctm.org/Publications/Mathematics-Teaching-in-Middle-School/2015/Vol21/Issue3/Visual-Reasoning-Tools-in-Action/
ab: Summary: The Common Core State Standards for Mathematics (CCSSM) identifies
the strategic use of appropriate tools as one of the mathematical
practices and emphasizes the use of pictures and diagrams as reasoning
tools. Starting with the early elementary grades, CCSSM discusses
students’ solving of problems “by drawing.” In later grades, such
specific forms of diagrams as number lines, area models, tape diagrams,
and double number lines are mentioned. This article illustrates the
power of these visual reasoning tools by describing how Japanese sixth
and seventh graders used a variety of pictures and diagrams to solve
and make sense of problems. The article also discusses potential
challenges and opportunities that these visual reasoning tools offer to
middle school mathematics teaching and learning. (ERIC)
rv: