About the Mathematics Education Doctoral Program

A study of the people and forces that impact on American education, analyzing the social setting of schooling and the relationships among school, curriculum, clients, personnel, and culture.

Credit Hour(s): 3

Lecture Hour(s): 3

Level: Graduate

Close examination of a discipline, topic, or group of questions in mathematics education. Examples include construction of number, teaching and learning of probability and statistics, understanding quantitative literacy. Explore current research, different conceptions and construction of knowledge on topic. Data collection and analysis on topic. May be repeated three times with different content for a maximum of twelve credits. Pre: Graduate standing.

Credit Hour(s): 3

Lecture Hour(s): 3

Classical, seminal, and current works in the field of mathematics education. Mathematics education research. Theoretical frameworks, methodologies, claims and implications. Pre: Graduate Standing.

Credit Hour(s): 3

Lecture Hour(s): 3

Provides an introduction to the nature of the science, technology, engineering, and mathematics (STEM) disciplines, and their corresponding STEM education disciplines; the inherent connections, confluences, and differences among the STEM and STEM education disciplines; the frameworks, standards, and infrastructures that govern the teaching of these subjects in K-16 STEM education; and other social, political, theoretical, and philosophical ideas and influences that underlie K-16 STEM education. Graduate standing required.

Credit Hour(s): 3

Lecture Hour(s): 3

Level: Graduate

Provides an ordered investigation into the instructional practices and signature pedagogies of science, technology, engineering, and mathematics (STEM) disciplines as a means for developing purposefully integrative approaches for teaching/learning the content of these disciplines. Through study of the epistemologies, philosophies, strengths, and limitations associated with STEM signature pedagogies, students come to know a set of blended pedagogical practices that serve to enhance individual practices within their chosen fields. Graduate standing required.

Credit Hour(s): 3

Lecture Hour(s): 3

Level: Graduate

An exploration of contemporary K-16 Science, Technology, Engineering, and Mathematics (STEM) education trends and issues, including both integrative and within-discipline STEM education trends/issues. Topics addressed include STEM literacy, integrative approaches to STEM education, the changing role of design and inquiry in STEM education, STEM education-related legislation, change theory, state and federal funding, and extracurricular STEM education initiatives. Graduate standing required.

Credit Hour(s): 3

Lecture Hour(s): 3

Level: Graduate

Systematic introduction to the study of contemporary philosophy of education, indicating ways in which philosophy is used to analyze educational aims, content, methods, and values.

Credit Hour(s): 3

Lecture Hour(s): 3

Level: Graduate

Credit Hour(s): 1 TO 19

Lecture Hour(s):

Level: Graduate

Research and evaluation in education with emphasis on development of skill requisite for utilizing research and evaluation studies in practical situations. Applies these skills in exercises related to various research and evaluation models.

Credit Hour(s): 3

Lecture Hour(s): 3

Level: Graduate

Introduction to Mixed Methods research and evaluation in applied social and behavioral sciences, including education, human development, sociology, and medicine. Mixed methods are used to collect and analyze both qualitative and quantitative data.

Credit Hour(s): 3

Lecture Hour(s): 3

Level: Graduate

This course provides an introduction to qualitative research methods. It considers mainstream qualitative research traditions, including case study, phenomenology, ethnography, grounded theory, and participatory research. Students will conduct observations, interviews and basic data analysis.

Credit Hour(s): 3

Lecture Hour(s): 3

Level: Graduate

This course provides an advanced examination of qualitative inquiry in educational and human science research. It considers theoretical assumptions of major qualitative research traditions and provides students advanced skills in data analysis and representation.

Credit Hour(s): 3

Lecture Hour(s): 3

Level: Graduate

This two-course sequence is designed to provide an overview of basic research design, measurement and statistical concepts in social and behavioral research. Emphasis will be placed on understanding the process of social and educational research in field settings, hands on experience of designing and conducting research and analysis of data.

Credit Hour(s): 3

Lecture Hour(s): 3

Level: Graduate

This two-course sequence is designed to provide an overview of basic research design, measurement and statistical concepts in social and behavioral research. Emphasis will be placed on understanding the process of social and educational research in field settings, hands on experience of designing and conducting research and analysis of data.

Credit Hour(s): 3

Lecture Hour(s): 3

Level: Graduate

Multiple regression procedures for analyzing data as applied in educational settings, including curvilinear regressions, dummy variables, multicollinearity, and introduction to path analysis.

Credit Hour(s): 3

Lecture Hour(s): 3

Level: Graduate

Multivariate statistical procedures presented in an applied research setting. Oriented toward the logical extension of univariate tests of significance and estimation procedures to multivariate problems. Emphasis on using existing computer software packages.

Credit Hour(s): 3

Lecture Hour(s): 3

Level: Graduate

Provides a conceptual framework of hierarchical linear modeling (HLM), some important statistical theory behind the HLM, and hands-on training for applying HLM technique through analyzing example data sets and projects. The course includes the formulation of statistical models for typical applications such as two-level organizational study, two-level growth model, and three-level growth model within contexts and prepares students to be able to use multilevel analysis to address research questions in their fields and write coherent summaries and interpretations of the results.

Credit Hour(s): 3

Lecture Hour(s): 3

Level: Graduate

Psychological theories and models which serve as a basis for educational models and practice. Emphasis on conceptions of learning and cognitive process. Pre: Graduate standing.

Credit Hour(s): 3

Lecture Hour(s): 3

Level: Graduate

Investigates complex human learning from the perspective of cognitive/information processing theories. Emphasizes methods of investigation in cognitive science as well as strategies for using a cognitive orientation in educational settings.

Credit Hour(s): 3

Lecture Hour(s): 3

Level: Graduate

Philosophical, theoretical, and empirical foundations of the broad field of constructivism, including the limits of epistemology and ontology, the determination of truth and reality, and applications to education and everyday life. Emphasis on radical constructivism, social constructivism, symbolic interactionism, social constructionism, and cognitive constructivism, and their applications to education.

Credit Hour(s): 3

Lecture Hour(s): 3

Level: Graduate

Explores current research in the field of motivation as it relates to educational settings. Students will learn how motivation constructs relate to student behavior and cognition, how to select appropriate strategies to motivate students, and how to design measures to assess student motivation.

Credit Hour(s): 3

Lecture Hour(s): 3

Level: Graduate

Methods for conducting scientific research on how K-12 students learn mathematics. Students will develop skills for designing and conducting such research across various domains of mathematical learning, such as whole numbers, fractions, algebra, and calculus. Pre: Graduate Standing.

Credit Hour(s): 3

Lecture Hour(s): 3

Level: Graduate

Research on undergraduate mathematics education. Student understanding of particular concepts from undergraduate math courses, from calculus to abstract algebra. Student engagement in mathematical practices, such as proving and defining, that transcend particular course concepts. Pre: Graduate Standing.

Credit Hour(s): 3

Lecture Hour(s): 3

Level: Graduate

Course activities will emphasize the curricular themes of problem solving, reasoning and proof, communication, connections, and representation. 4625: Topics in discrete mathematics and algebra from a secondary teaching perspective. Pre: 3034. (3H,3C)

Course activities will emphasize the curricular themes of problem solving, reasoning and proof, communication, connections, and representation. 4626: Topics in trigonometry, geometry, measurement, statistics, and probability from a secondary teaching perspective. Pre: 3034. (3H,3C)

Use and impact of technology in secondary mathematics curriculum. Various technologies including graphing calculators, calculator based laboratory and probes (CBLs), computer algebra systems, spreadsheets, dynamic geometry software and the Internet will be used to explore secondary mathematical concepts from an advanced viewpoint. Pre: 3034. (3H,3C)