Elementary

Professional Noticing of Children’s Mathematical Thinking

The construct professional noticing of children’s mathematical thinking is introduced as a way to begin to unpack the in-the-moment decision making that is foundational to the complex view of teaching endorsed in national reform documents. We define this expertise as a set of interrelated skills including (a) attending to children’s strategies, (b) interpreting children’s understandings, and (c) deciding how to respond on the basis of children’s understandings.

Author/Presenter

Jacobs, V.R.

Lamb, L.L.C.

Philipp, R.A.

Year
2010

Prepare and Inspire: K-12 Education in Science, Technology, Engineering, and Math (STEM) for America's Future

America is home to extraordinary assets in science, engineering, and mathematics that, if properly applied within the educational system, could revitalize student interest and increase proficiency in these subjects and support an American economic renewal, according to a new report from an independent council of Presidential advisors.

Author/Presenter

PCAST

Year
2010

Positive Learning Environments Aiming for Success In Science Education PLEASSE (Norman)

Author/Presenter

Obed Norman

Year
2009
Short Description

NCLB defines success exclusively as test scores, fostering strategies that compromise substantive
learning. This session focuses on conceptual and theoretical frameworks for exploring this issue.

Resource(s)

Plenary Presentation: The Opportunity Equation: Transforming Mathematics and Science Education for Citizenship and the Global Economy (Cahill)

Author/Presenter

Michele Cahill

Year
2009
Short Description

Cahill discusses the Carnegie-Institute for Advanced Study Commission on Mathematics and
Science Education’s recent report in which they challenge the nation to mobilize for coordinated action so that all students—not just a select few, or those fortunate enough to attend certain schools—achieve much higher levels of math and science learning.

Evaluation of a Learning Trajectory for Length in the Early Years

Author/Presenter

Clements, D.

Sarama, J.

Barrett, J.

Van Dine, D.

McDonel, J.

Year
2011
Short Description

Measurement is a critical component of mathematics education, but research on the learning and teaching of measurement is limited, especially compared to topics such as number and operations. To contribute to the establishment of a research base for instruction in measurement, we evaluated and refined a previously developed learning trajectory in early length measurement, focusing on the developmental progressions that provide cognitive accounts of the development of children’s strategic and conceptual knowledge of measure. Findings generally supported the developmental progression, in that children reliably moved through the levels of thinking in that progression. For example, they passed through a level in which they measured length by placing multiple units or attempting to iterate a unit, sometimes leaving gaps between units. However, findings also suggested several refinements to the developmental progression, including the nature and placement of indirect length comparison in the developmental progression and the role of vocabulary, which was an important facilitator of learning for some, but not all, children.