Mathematics

Teaching of the associative property: A natural classroom investigation

In this study we investigate the teaching of the associative property in a natural classroom setting through observation of classroom video of several elementary math classes in a large urban school district. Findings indicate that the associative property was often conflated with the commutative property during teaching. The role of the associative property in many computational tasks remained fully implicit, even after the property had been formally introduced.

Author/Presenter

Eli Barnett

Meixia Ding

Lead Organization(s)
Year
2018
Short Description

In this study we investigate the teaching of the associative property in a natural classroom setting through observation of classroom video of several elementary math classes in a large urban school district.

Examining the career paths of doctorates in mathematics education working in institutions of higher education

This article focuses on the career paths in higher education taken by 351 doctoral graduates in mathematics education and provides insight into their career path and their resulting workload. Because some of the sample is drawn from graduates of programs with NSF funding related to doctoral preparation, it represents a best-case scenario of doctoral preparation experiences.

Author/Presenter

Jeffrey C. Shih

Robert E. Reys

Barbara J. Reys

Christopher Engledowl

Lead Organization(s)
Year
2018
Short Description

This article focuses on the career paths in higher education taken by 351 doctoral graduates in mathematics education and provides insight into their career path and their resulting workload.

The complex interplay between examples and proving: Where are we and where should we head?

Our work suggests re-conceptualization of research concerning students’ over reliance on example-based reasoning, moving from a view of such reasoning as a stumbling block to quickly overcome toward a view of such reasoning as a necessary and critical foundation in learning to prove. We have extended prior research and have developed a comprehensive analytic framework (CAPS: Criteria-Affordances-Purposes-Strategies) for characterizing and making sense of the roles and uses of examples in proving-related activities of secondary school students, undergraduate students, and mathematicians.
Author/Presenter

Orit Zaslavsky

Eric Knuth

Lead Organization(s)
Year
2018
Short Description

Our work suggests re-conceptualization of research concerning students’ over reliance on example-based reasoning, moving from a view of such reasoning as a stumbling block to quickly overcome toward a view of such reasoning as a necessary and critical foundation in learning to prove.

Considerations for STEM Education from PreK through Grade 3

Early Learning Brief

Author/Presenter

Julie Sarama

Douglas Clements

Natalie Nielsen

Maria Blanton

Nancy Romance

Mark Hoover

Carolyn Staudt

Arthur Baroody

Christine McWayne

Catherine McCulloch

Year
2018
Short Description

This brief draws on research supported by the National Science Foundation to highlight important considerations for educators and others who design and provide STEM educational experiences for young children.

Research Council on Mathematics Learning 2019 RCML Annual Conference; Charlotte, NC

Event Date
-

To learn more, visit https://www.rcml-math.org/upcoming-conference.

DRK-12 Presenters:

  • Eloise Aniag Kuehnert, Lindsey Perry, and Leanne Ketterlin Geller, Southern Methodist University
Discipline/Topic
Event Type

National Council of Supervisors of Mathematics 2019 NCSM Annual Conference; San Diego, CA

Event Date
-

To learn more, visit https://www.mathedleadership.org/events/conferences/SD2/index.html.

DRK-12 Presenters:

  • Nicholas Kochmanski, Vanderbilt University; Jessica Slayton and Tyrunya Goodwin, Metro Nashville Public Schools
Discipline/Topic
Event Type

Association of Mathematics Teacher Educators 2019 AMTE Annual Conference; Orlando, FL

Event Date
-

To learn more, visit https://amte.net/conferences/conf2019.

DRK-12 Presenters:

  • Patricia Buenrostro* and Samantha A. Marshall, Vanderbilt University
  • Michelle Cirillo and Jenifer Hummer*, University of Delaware
  • Dana Grosser-Clarkson*, University of Maryland
  • Nicholas Kochmanski, Vanderbilt University; Hannah Nieman, University of Washington
  • Ashley D. Scroggins*, University of Colorado

*Denotes CADRE Fellow or Fellows alumnus

Discipline/Topic
Event Type