DOCTOR OF PHILOSOPHY IN MATHEMATICS EDUCATION


Mathematics Education (EMAT) is a recently initiated content specialization in the UW College of Education Curriculum and Instruction (EDCI) doctoral program. The purposes for establishing this new program include the creation of innovative emphases and approaches in the preparation of solidly prepared scholar-leaders for the field of Mathematics Education worldwide.


Required Courses

  • EMAT 5100: Theory & Research in Learning & Development (3) - Fall of Even Years
  • EMAT 5200: Advanced Math Curriculum, Assessment & Evaluation (3) - Spring of Even Years
  • EMAT 5300: Theory & Practice in Mathematics Teaching & Teacher Education (3)-Spring of Odd Years
  • EMAT 5400: Analysis & Critique of Research in Mathematics Education (3)-Fall of Odd Years
  • EMAT 5500: Colloquium in Mathematics Education (1-3)-Every Fall and Spring
  • EMAT 5980: Dissertation Research (1-12)-Every semester

Special Joint Electives

  •  EMAT 5600 Quantitative Reasoning & Modeling in Mathematics & Science Education
  •  EMAT 5700 Principles & Methods for Integrated Teaching & Learning Mathematics & Science

Additional Offerings

  • EMAT 5500 Research Seminar in Mathematics Education. 1-3
  • EMAT 5490 Individual Problems in Mathematics Education. 1-6
  • EMAT 5680 Special Topics in Mathematics for Educators. 1-3
  • EMAT 5900 Practicum in Mathematics Education. 1-3
  • EMAT 5970 Development of Dissertation Research in Mathematics Education. 1-6
  • EMAT 5980 Dissertation Research in Mathematics Education. 1-12
  • EMAT 5990 Internship in Mathematics Education. 1-6

Requirements

Overall, the doctoral program will require at least 81 semester hours completed within a coherent program of study developed and approved by the candidate's Major Professor and Doctoral Committee (which may include transferring up to 30 approved graduate semester hours from work completed toward a master's degree).

The overall structure includes:

Course Type Hours Required
College-wide core 9 hours 
Mathematics 

9 hours

Mathematics Education  18 hours 
Electives 

21 hours 

Research & dissertation 24 hours 
Total   

81 hours


To satisfy Mathematics Education hours (18), the following EMAT courses (four required and two joint electives with Science Education) are offered:

  • Theory and Research for Mathematical Learning and Development
  • Theory and Practice for Mathematics Teaching and Teacher Education
  • Advanced Study of Mathematics Curriculum, Assessment and Evaluation
  • Analysis and Critique of Research in Mathematics Education
  • Quantitative Reasoning and Modeling in Mathematics and Science Education
  • Principles and Methods for Integrated Teaching and Learning of Mathematics and Science

These advanced Mathematics Education courses along with graduate study in Mathematics and Statistics, and Quantitative and Qualitative Research Methodologies, collectively build knowledge of theoretical and empirical perspectives to lead to a solid competence for engaging in both scholarly and practical work in the field at all levels. One program goal is to stimulate and guide each student to develop their dissertation research as a first step within a well-defined research program that can encompass the initial years of their post-doctoral scholarship.


Values & Goals

The fundamental programmatic development of each Mathematics Education doctoral student is set against the universal need for reforming to improve the mathematical education of all citizens. Core values promoted within the doctoral program are the premises upon which modern reforms are based and include the following goals:

  • Construction of deep conceptual understandings of fundamental ideas
  • Development of useful proficiencies for applying powerful technological tools to support new learning and solve significant problems
  • Building positive perspectives on the nature and utility of mathematics in human intellective development and in technological societies

Traditional professional domains of advanced theoretical and research knowledge in Mathematics Education are fundamental elements of study and competence for every doctoral student, including the following:

  • Student development, learning and thinking, and emotional maturation for building a sound educational experience in mathematics
  • Mathematics teacher preparation, practice and enhancement, and professional life
  • Mathematics curricular development, implementation and revision
  • Student, teacher, and mathematics program assessment, evaluation and accountability

Students may enter the doctoral program with a variety of mathematical backgrounds, but are expected to further their depth and breadth of content knowledge through UW mathematics courses chosen to fit the individual's needs and interests, and to leave the program with substantial knowledge of graduate level mathematics.


Program Identities for Scholarship and Leadership

Beyond the above basic domains of doctoral knowledge, four specific program identities foster specializations for scholarship and leadership in our field:

  • Quantitative reasoning --- Based upon a growing societal necessity for all citizens to possess numerical and quantitative literacy, this focus addresses the explicit development of our understandings of the mathematical, psychological, pedagogical, and curricular applications of reasoning with, and about, conceptual quantities experienced and used in the world.
  • Mathematical modeling --- Reflective of the power of mathematics to provide frameworks and conceptual tools for building, using, and refining abstracted representations of many real world phenomena and problems, this emphasis provides a context for shifting many important aspects of a sound mathematical education toward constructive, dynamic, relevant problem-solving experiences.
  • Technological tools and applications --- Increasingly powerful computing, computational science, and informational technologies have changed how mathematics is developed and used in many domains, and in this emphasis UW faculty and students will explore and investigate the potentials and impacts of new tools upon mathematical learning, teaching, curriculum, and assessment.
  • Student and teacher mathematical experiences --- Current mathematics education reforms emphasize fundamental shifts in both content and process, with significant attention to promoting higher quality mathematical experiences that develop student sense making, thinking and reasoning, and motivation and engagement, and UW faculty and students will focus explicit attention to understanding deeply the nature of such experiences.

Each of these focal identities is addressed throughout the courses, seminars, and graduate assistantship duties and experiences as inherent points of emphasis in the overall Mathematics Education culture at UW.

Faculty research and development activities will incorporate one or more of these programmatic identities, and doctoral students will be expected to gain further developmental experiences within these opportunities.

As appropriate to the interests and directions of the student and the doctoral committee, dissertation research will also mirror the cited core values and embody aspects of one or more of these programmatic identities.

The four program identities also are the focus of work by three Research Teams organized within the Wyoming Institute for the Study and Development of Mathematical Education WISDOM^e.

 
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