These requirements will apply to students enrolling at AU in the 2017-2018 academic year. Current students can find the requirements that apply to them by consulting the relevant academic catalog.
The Master of Arts program includes 36 semester hours of coursework and one semester hour of field experience.
Required courses in mathematics: 21 semester hours
MTH5010 Numbers and Mathematical Thinking (3)
MTH5020 Statistics and Probability (3)
MTH5030 Understanding and Teaching Algebra (3)
MTH5040 Understanding and Teaching Geometry (3)
MTH6010 Calculus Concepts and Applications I (3)
MTH6060 Calculus Concepts and Applications II (3)
MTH6030 Applications in STEM (3)
Elective courses: Choose six semester hours from the following
MTH6020 Mathematical Connections (3)
MTH6040 Technology in Mathematics Classrooms (3)
MTH6080 Selected Topics in Mathematics (3)
MTH6090 Selected Topics in Mathematics Education (3)
Required courses in mathematics and science education: 10 semester hours
NSM5100 Curriculum Development and Assessment in Mathematics and Science (3)
NSM5900 Field Experience in STEM (1)
NSM6100 Educational Research in Mathematics and Science I (3)
NSM6200 Educational Research in Mathematics and Science II (3)
MTH5010 Numbers and Mathematical Thinking
This course will integrate the common core standards in a review of various introductory mathematics topics to build the participants' foundational knowledge in numbers and operations. It will focus on further developing the participants' mathematical thinking, conceptual understanding of the real and complex number systems, and link that to vector and matrix quantities, number theory and modern algebra concepts. Students will reason quantitatively, use modeling, problem-solving, and other mathematical practices to accomplish these goals.
MTH5020 Statistics and Probability
This course will deepen student understanding of critical concepts in statistics and probability related to core standards. They will gain the ability to collect and analyze data related to educational research. The course provides students with the requisite background in descriptive and inferential statistics to interpret categorical and quantitative data, make inferences, and draw conclusions. Conditional probability and decision making using probability will be a part of the modeling in this course.
MTH5030 Understanding and Teaching Algebra
This course will reinforce basic algebra concepts, present participants with advanced algebra topics, and present algebra as a modeling and a problem solving technique. The course will emphasize the understanding of the structure of algebra, polynomials, rational functions, and creating reasoning with equations and inequalities. Students will investigate how these topics connect to the algebra that is taught in the middle and high school grades. The course will integrate seamlessly concepts and methods of teaching algebra. After researching best practices, students will present a lesson on one of these topics. A discussion of the best practices and biggest challenges of teaching such a topic will be discussed by the group as they critique each lesson. Every student in the class will be expected to present and evaluate the work of their peers.
MTH5040 Understanding and Teaching Geometry
The course will primarily be a presentation of advanced geometry topics and will include connections to methods of teaching geometry. The majority of the class will be devoted to discussion of Euclidian and modern geometry topics that will deepen students' understanding of basic and advanced geometry concepts. Topics such as congruence, similarity, right triangles and trigonometry, circles, coordinate geometry, geometric measurements, and transformations will be presented. Students will be asked to prepare and present lessons. Following the presentation, a discussion of the best practices and biggest challenges of teaching such a topic will be discussed by the group as they critique each lesson. Every student in the class will be expected to present and evaluate the work of their peers. The course will emphasize the use of geometry software such as Geometry Sketchpad, Geogebra, Cabri, etc.
MTH6010 Calculus Concepts and Applications I
This course presents opportunities for students to expand and deepen their knowledge and understanding of calculus concepts and application. Basic concepts such as limits derivatives and integrals will be covered. The course includes examples of teaching approaches as applied to the teaching and learning of calculus. It will also focus on solving applications of calculus in STEM fields.
MTH6060 Calculus Concepts and Applications II
This course is a continuation of the first calculus course and focuses on techniques and applications. Integration and series will be emphasized. The course includes examples of teaching approaches as applied to the teaching and learning of calculus. It will focus also on solving applications of calculus in STEM fields.
MTH6020 Mathematical Connections
The course will present students with topics that relate different mathematics branches to each other. Analytic geometry can be used as a platform to show how algebra, geometry, calculus, etc. are interconnected. The course will emphasize problem solving as a technique to establish these connections and use mathematics as a tool to solve problems.
Prerequisites: MTH5030 and MTH5040.
MTH6030 Applications in STEM
The course follows a problem-based model of inquiry that will emphasize all mathematical practices. Students will explore the interdisciplinary nature of STEM, and investigate problems and projects from the physical sciences, life sciences, space science, technology and engineering. They will analyze, research, and find the appropriate mathematical tools to model and solve these problems.
MTH 6040 Technology in Mathematics Classrooms
This course will present and evaluate methods and strategies for employing technology as a regular part of instruction and assessment, including discussion of educational foundations. Students will research a relevant use of technology that could be used in their curriculum and share it with their classmates. Peer evaluation will provide helpful feedback.
Prerequisites: MTH5030 and MTH5040.
MTH6080 Selected Topics in Mathematics
Advanced topics in mathematics will be introduced in this course. The course will expand the breadth and depth of the students’ content knowledge in mathematics and science.
MTH6090 Selected Topics in Mathematics Education
Current topics in mathematics education will be introduced in this course. Recent article and research publication will be shared and discussed. Students will review and implement latest research in mathematics and science education.
NSM5100 Curriculum Development and Assessment in Mathematics and Science
The course will focus on curriculum goals and implementation, a mix of theoretical research-based foundations and classroom reform based perspectives on assessment and evaluation in schools, recent developments in math and science curriculum, core standards, learning research; alternate modes of presentation.
NSM5900 Field Experience in STEM
The field experience is designed to connect participants to real world applications of math and to professions that use these applications. Professional connections will be developed with scientists and engineers and the experience will help participants connect their classroom to career exploration in science, technology, engineering, and mathematics (STEM) fields. Each candidate is expected to take part in a flexible field experience at a community partners’ site. The goal is to give each participant an opportunity to either work with a leader on a project or play a teacher leader role during this experience. The participants will be given the flexibility to choose an experience that is most beneficial to them and will help them grow professionally.
NSM6100 Educational Research in Mathematics and Science I
This course has the dual purpose of providing an educational research background in the STEM field as well as the quantitative knowledge necessary to conduct such research. The course investigates recent developments and relevant research in STEM education and initiates a professional conversation about the major issues in teaching mathematics and science. Emphasis will be placed on methods of critically reading and analyzing research reports and the development of a STEM research proposal. Topics include reading and evaluation of original research, issues of validity and reliability in research, assembling research writing components, and an introduction to statistical inference.
NSM6200 Educational Research in Math and Science II
This course is a continuation of Educational Research in Math and Science I. The teacher will analyze data collected from the implementation of a previously identified STEM research project. Participants will complete their projects, submit a written report of their research, and present their findings to other program participants and at local and/or national conferences.