familiar contexts, such as our school,
our class, and our families. If students
feel a connection to the problem,
they’ll eagerly persevere with more
In a 2012 ASCD publication, the first
on a list of recommendations for
moving the implementation of the new
standards forward is to “make sure
educators deeply understand the standards and the key instructional shifts
they require” (p. 31). Having a
thorough understanding of the vocabulary and concepts in the standards
provides a strong foundation for
making sound instructional choices
and will help teachers foster the
critical-thinking, problem-solving, and
analytical skills that students will need
for future success. EL
Authors’ note: The standards quoted in
this article are from National Governors
Association Center for Best Practices &
Council of Chief State School Officers.
(2010). Common Core Standard Standards for Mathematics. Washington,
DC: Authors. Retrieved from www.core
ASCD. (2012). Fulfilling the promise of the
Common Core State Standards: Moving
from adoption to implementation to sustainability. Alexandria, VA: Author.
Retrieved from http://educore.ascd.org/
Carpenter, T. P., Fennema, E., Franke,
M. L., Levi, L., & Empson, S. (1999).
Children’s mathematics: Cognitively
guided instruction. Portsmouth, NH:
Carpenter, T. P., Franke, M. L., & Levi, L.
(2003). Thinking mathematically: Inte-
grating arithmetic and algebra in
elementary school: Portsmouth, NH:
Clements, D. H., & Sarama, J. A. (2009).
Learning and teaching early math: The
learning trajectories approach: New York:
Cross, C. T., Woods, T. A., & Schweingruber, H. (2009). Mathematics learning
in early childhood: Paths toward excellence and equity. Washington, DC:
National Research Council.
Knuth, E. J., Stephens, A. C., McNeil,
N. M., & Alibali, M. W. (2006). Does
understanding the equal sign matter?
Evidence from solving equations.
Journal for Research in Mathematics Education, 36( 4), 297–312.
Linda Griffin ( email@example.com) is
assistant professor of mathematics and
David Ward ( firstname.lastname@example.org) is
assistant professor of literacy education
in the Lewis and Clark Graduate School
of Education and Counseling, Portland,