id: 06455444
dt: j
an: 2015e.00677
au: Huang, Rongjin; Prince, Kyle M.; Schmidt, Teresa
ti: Exploration of patterns in a calendar.
so: Math. Teach. (Reston) 108, No. 5, 336-342 (2014).
py: 2014
pu: National Council of Teachers of Mathematics (NCTM), Reston, VA
la: EN
cc: H20 E50 M90
ut: algebra; algebraic reasoning; mathematical applications; activities;
pattern recognition; justification; reasoning; proof; proving;
conjectures; refutation
ci:
li: http://www.nctm.org/publications/article.aspx?id=43547
ab: From the text: The importance of developing reasoning and justification has
been highlighted in [{\it National Council of Teachers of Mathematics},
Principles and standards for school mathematics. Reston, VA: NCTM
(2000)]. The Common Core State Standards for Mathematics further
reiterates the importance of reasoning and proof in several standards
for mathematical practice. Students of all grades are required to
reason both abstractly and quantitatively, construct viable arguments,
and critique the reasoning of others. However, studies on algebra
learning have documented studentsâ€™ difficulties in algebra concepts
and justification. Specifically, middle and high school students
overwhelmingly rely on examples to justify statements. This article
aims to demonstrate how a teacher can develop studentsâ€™ reasoning and
justification in an algebra lesson through deliberate sequencing and
productive discourse surrounding the implementation of tasks.
rv: