Mathematics

A Recent History of the Production of Doctorates in Mathematics Education

Institutions in the United States have been producing PhDs in mathematics education for more than a century. Teachers College at Columbia University and the University of Chicago produced the first graduates in mathematics education in 1906 and 1912, respectively. In those institutions, doctoral students in mathematics education typically took courses along with doctoral students in mathematics. However, the dissertation research took a different direction as doctorates in mathematics education focused on issues related to mathematics learning, teaching, or curriculum.

Author/Presenter

Barbara Reys

Robert Reys

Lead Organization(s)
Year
2016
Short Description

This article highlights the production of doctorates in mathematics education for the past fifty years.

Profile of research preparation of doctorates in mathematics education in the United States

Research has documented that doctoral preparation in mathematics education varies greatly across institutions of higher education (McIntosh and Crosswhite [13], Reys and Kilpatrick [18], Reys and Dossey [15]). This study reports data gathered from over 500 doctoral graduates in mathematics education from 23 institutions in the USA from 1997 to 2014 as they self-assessed their research preparation during their doctoral program. At least 80% of the doctoral graduates rated their preparation as adequate or very well addressed for qualitative methods and quantitative methods.

Author/Presenter

Jeffrey C. Shih

Robert E. Reys

Christopher Engledowl

Lead Organization(s)
Year
2016
Short Description

This study reports data gathered from over 500 doctoral graduates in mathematics education from 23 institutions in the USA from 1997 to 2014 as they self-assessed their research preparation during their doctoral program.

The Preparation of a Mathematics Educator: The Case of Carey

There are many paths to becoming an active researcher in mathematics education. This article describes one ideal path. It begins with identifying a useful educational background prior to entering a doctoral program. Then it offers some suggestions for selecting an institution to pursue a doctoral program. The article outlines some academic knowledge and intern experiences that will help prepare the next generation of researchers in mathematics education once a doctoral program has been entered.

Author/Presenter

Robert Reys

Lead Organization(s)
Year
2017
Short Description

The article outlines some academic knowledge and intern experiences that will help prepare the next generation of researchers in mathematics education once a doctoral program has been entered.

Invaluable values: an expectancy-value theory analysis of youths’ academic motivations and intentions

While Science, Technology, Engineering, and Math (STEM) fields have increased in importance over the past decade, minorities have remained traditionally underrepresented in these fields. In this study we seek to better understand some of the factors that might contribute to or potentially mitigate early STEM pipeline leaks, specifically, high school graduation and college entrance leaks. Student interest formed in the early school years has an impact on future course selections and persistence in school.

Author/Presenter

Christopher Ball

Kuo-Ting Huang

Shelia R. Cotten

R.V. Rikard

LaToya O. Coleman

Year
2016
Short Description

In this study we seek to better understand some of the factors that might contribute to or potentially mitigate early STEM pipeline leaks, specifically, high school graduation and college entrance leaks.

Access is not enough: The impact of emotional costs on African American students’ ICT use patterns

Previous research has examined the impact of computing interventions to reduce digital inequity. However, few studies focus on factors such as inequalities to material access, Internet use patterns, and affective or emotional anxiety. This paper investigates the potential role of emotional costs and computer self-efficacy in the connection between computer use at home and students’ computer use patterns. Data for this research come from pretest and posttest surveys administered to fourth- and fifth-grade African-American students.

Author/Presenter

Kuo-Ting Huang

Shelia R. Cotten

R.V. Rikard

Year
2016
Short Description

This paper investigates the potential role of emotional costs and computer self-efficacy in the connection between computer use at home and students’ computer use patterns.

Pressurizing the STEM Pipeline: an Expectancy-Value Theory Analysis of Youths’ STEM Attitudes

Over the past decade, there has been a strong national push to increase minority students’ positive attitudes towards STEM-related careers. However, despite this focus, minority students have remained underrepresented in these fields. Some researchers have directed their attention towards improving the STEM pipeline which carries students through our educational system and into STEM careers. Previous research has shown that expectancy-value theory (EVT) is useful for examining the short-term as well as long-term academic motivations and intentions of elementary age minority students.

Author/Presenter

Christopher Ball

Kuo-Ting Huang

Shelia R. Cotten

R.V. Rikard

Year
2017
Short Description

In the current study, we advance this research by using EVT as a framework to examine the STEM attitudes of young students directly. We hypothesize that students’ academic-related expectancies for success and subjective task values will be associated with an increase in STEM attitudes.

An Exploratory Analysis of Pre-service Middle School Teachers’ Mathematical Arguments

Zambak, V. S., & Magiera, M. T. (2015). An Exploratory Analysis of Pre-service Middle School Teachers’ Mathematical Arguments. In T. Bartell, K., Bieda, R. Putnam, K. Bradfield, & H. Dominguez (Eds.). Proceedings of the 37th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. 428, East Lansing, MI: Michigan State University.

Author/Presenter

Vecihi S. Zambak

Marta T. Magiera

Lead Organization(s)
Year
2015
Short Description

Calls for increased focus on mathematical argumentation in school mathematics are critical for teacher educators charged with preparing prospective K-8 teachers (PST) to foster mathematical argumentation in their future classrooms. This is because research suggests that middle school years are crucial for students to gain proficiency in creating and critiquing mathematical arguments. Supporting PSTs’ strong understanding of what it means to do mathematics necessitates that teacher preparation programs place an emphasis on mathematical and pedagogical preparation that facilitates PSTs’ strong understanding of mathematical argumentation and proving in school mathematics.

Developing an understanding of children's justifications for the circle area formula

In this study we investigated eighth grade students’ informal justification for the circle area formula to expand accounts of the measurement knowledge for middle-school age students. Data were collected during three paired interviews of a three-year teaching experiment. Here we describe schemes students exhibited as they operated on measurement tasks at a level we have described as “conceptual area measurer”; the tasks prompted the use of square units to quantify a figure that is not rectilinear.

Author/Presenter

Jenna R. O’Dell

Theodore J. Rupnow

Craig J. Cullen

Jeffrey E. Barrett

Douglas H. Clements

Julie Sarama

Douglas W. Van Dine

Lead Organization(s)
Year
2016
Short Description

In this study we investigated eighth grade students’ informal justification for the circle area formula to expand accounts of the measurement knowledge for middle-school age students.

Analysis of Pre-service Teachers’ Generalization and Justification Strategies in Solutions to Figural Pattern-generalization Tasks

We analyzed 37 PSTs’ written solutions to four figural pattern generalization tasks, video recordings of class discussions, and audio-recordings of problem-based interviews during which the PSTs were asked to solve one pattern generalization task, to answer the following research questions: (1) What relationships and structural aspects of a figural pattern do PSTs build upon to formulate pattern generalization? (2) How do they utilize uncovered relationships and structural aspects of a figural pattern to justify their general rules? 

Author/Presenter

Meghan Sebranek

Marta T. Magiera

Lead Organization(s)
Year
2016
Short Description

We analyzed 37 PSTs’ written solutions to four figural pattern generalization tasks, video recordings of class discussions, and audio-recordings of problem-based interviews during which the PSTs were asked to solve one pattern generalization task, to answer the following research questions: (1) What relationships and structural aspects of a figural pattern do PSTs build upon to formulate pattern generalization? (2) How do they utilize uncovered relationships and structural aspects of a figural pattern to justify their general rules?

Prompting Meaningful Analysis from Pre-service Teachers Using Elementary Mathematics Video Vignettes

Learning from video is a theoretically grounded and popular professional development activity. In online professional development communities, however, responses to video are often shallow and lack meaningful commentary about issues that surround teaching and learning mathematics. By altering the framing conditions that accompany video clips posted to the Everyday Mathematics Virtual Learning Community, this study examined whether more deeply analytical comments could be elicited from pre-service teachers.

Author/Presenter

Shereen Oca Beilstein

Michelle Perry

Meg Schleppenbach Bates

Year
2017
Short Description

By altering the framing conditions that accompany video clips posted to the Everyday Mathematics Virtual Learning Community, this study examined whether more deeply analytical comments could be elicited from pre-service teachers.