MAE-MATHEMATICS: EDUCATION
 

MAE 2810         Mathematics for Elementary Teachers             3

Basic operations, number systems, numeration, metrics, elementary geometry and probability. Designed primarily for teachers in elementary education. Student must have satisfied the Basic Math Skills requirement.

MAE 4310         Teaching Mathematics in the Elementary School      3

Theory and methods for teaching mathematics in the elementary school; contemporary approaches to teaching concepts, number systems, numeration systems, computational algorithms, problem solving, informal geometry, measurement and other topics. Material and supply fee will be assessed.

MAE 4320         Teaching Mathematics in the Middle and Secondary Schools            2

Theory and methods of teaching mathematics in the middle and secondary schools; contemporary approaches to teaching concepts, number systems, numeration systems, computational algorithms, problem solving, informal geometry, measurement and other topics. Includes observation/ participation in appropriate school settings. Material and Supply fee will be assessed (pending approval).

MAE 4330         Exploring Secondary School Mathematics                3

Prerequisite: ESE 3321C, MHF 3202, MTG 3212 and MAS 3105, MAS 4203 or MAS 4301.

Procedures, practices and content of mathematics in the secondary school. (Does not count toward concentration in mathematics; meets State of Florida certification requirements for special methods in mathematics.)

MAE 4657         Mathematics for the 21st Century                 3

Prerequisite: MAC 2311.

Utilizes appropriate technologies for teaching mathematics at the middle and secondary school levels. Offered concurrently with MAE 5658; graduate students will be assigned additional work.

MAE 5337         Teaching Algebra Concepts in Secondary Education          3

Prerequisite: MAC 1105 or MGF 1106.

Designed for Math teachers of Secondary Education. Provides the concepts and techniques of algebra that are needed to understand subjects such as statistics and economics. It also provides the basic functions of Algebra to model many real life situations. Admission to Teacher Education and permission is required.

MAE 5338         Teaching Geometry Concepts in Secondary Education               3

Prerequisite: MAC 1105 or MGF 1106.

For graduate students in mathematics education. Topics include Euclidean and analytic geometry, inductive and deductive reasoning, two- and three-dimensional figures. Admission to Teacher Education and permission is required.

MAE 5385         Teaching Trigonometry Concepts in Secondary Education     3

Prerequisite: MAE 5337 and MAE 5338

Covers trigonometric functions and their properties. Also includes inverse trigonometric functions; trigonometric identities; trigonometric equations; solutions of triangles; polar coordinates and applications. Admission to Teacher Education and permission is required.

MAE 5389         Teaching Discrete Math Concepts in Secondary Education     3

Prerequisite: MAC 1105 or MGF 1106.

For graduate students in mathematics education. Topics include arithmetic and geometric sequences, permutations and combinations, matrix arithmetic, and applications of matrices to linear equations. Admission to Teacher Education and permission is required.

MAE 5658         Mathematics for the 21st Century                  3

Prerequisite: MAC 2311.

Utilizes appropriate technologies for teaching mathematics at the middle and secondary school levels. Offered concurrently with MAE 4657; graduate students will be assigned additional work.

MAE 6115C       Teaching Mathematics in Elementary Education       3

Analysis and evaluation of new programs and practices in teaching elementary school mathematics, including study of effects of these programs on teaching methods and materials; lab experiences including design, field testing and evaluation of activity-oriented lessons in mathematics and development of competence in the use of teaching aids in mathematics instruction; contemporary approaches to teaching elementary mathematics concepts and problem solving; development of competence in the use of alternative assessment techniques. Material and Supply fee will be assessed (pending approval).

MAE 6128         Proportional Reasoning                     3

Proportional reasoning applies to many contexts and area of mathematics and is central to teaching and learning in the middle grades. Explores aspects of proportional reasoning including ratio, proportion, similarity, slope, unit analysis, and measurement conversions. Activities include determining when proportional reasoning does and does not apply, using formal and informal approaches to solve problems involving proportional reasoning, and recognizing students’ understanding of and common misconceptions of proportionality.

MAE 6334         Problem Solving in Geometry               3

Teachers investigate through problem-solving and mathematical inquiry, characteristics and properties of 2- and 3-dimensional shapes and the relationships among them, including congruence and similarity.

MAE 6345         Whole Number Operations and Invented Algorithms        3

Teachers examine traditional, non-traditional, and student-invented algorithms, explain why the procedures work mathematically, and consider how students benefit from using alternate approaches.

MAE 6346         Fractions, Decimals and Percents            3

Teachers work with fundamental concepts in fractions, decimals, and percents and their interrelationships. Another focus is student’s misconceptions and difficulties.

MAE 6361         Teaching Mathematics in Middle Level and Secondary Education            3

Corequisite: EDM 6944 or ESE 6944.

Assists middle and secondary level teachers to develop theoretical understanding and skills necessary to teach in a manner consistent with current reform efforts in mathematics education. Focuses on components of understanding mathematics teaching and learning: 1) how students learn mathematics; 2) the role of the teacher in delivering effective mathematics lessons. Credit may not be earned in both MAE 6360 and MAE 6361. Material and Supply fee will be assessed (pending approval).

MAE 6384         Mathematical Methods in Secondary Education        3

Prerequisite: MAE 5389, MAE 5658, MAE 6387, and MAE 6388 Education), MAE 5658. Explores the mathematics, teaching, and pedagogy for secondary schools. Topics include designing and teaching effective lessons, assessment, evaluation and grading, mathematical teaching methodologies, use of technology in the classroom, basic principles in Algebra, Geometry, Trigonometry, Calculus, Discrete Mathematics, and Statistics, connections among these areas of mathematics, problem solving, and formulation of elementary mathematical models. Admission to Teacher Education and permission is required.

MAE 6386         Teaching Calculus Concepts in Secondary Education I             3

Prerequisite: MAE 5337 and MAE 5385

Designed for math teachers. The overall objective is to increase knowledge and competence for math teachers in both content and pedagogy related to the teaching and learning of Calculus. The primary topics to be covered are: functions, operations on functions, limits, continuity, Intermediate Value Theorem, average and instantaneous rate of change, derivative, tangent or slope of curve, increasing/decreasing function, concavity, derivative rules, maximum/minimum of function, inflection point, family of curves, Extreme Value Theorem, Mean Value Theorem, integrals, definite integral, Fundamental Theorem of Calculus, antiderivatives. Admission to Teacher Education and permission is required.

MAE 6387         Teaching Calculus Concepts in Secondary Education II          3

Prerequisite: MAE 6386

Designed for math teachers. The overall objective is to increase knowledge and competence for math teachers in both content and pedagogy related to the teaching and learning of Calculus. The primary topics to be covered are: integration methods, definite integrals, applications of definite integrals, exponential, logarithmic, and inverse trigonometric functions, hyperbolic functions, infinite sequences, and series. Admission to Teacher Education and permission is required.

MAE 6388         Teaching Statistics Concepts in Secondary Education             3

Prerequisite: MAC 1105 and STA 2023.

Introduces statistical concepts; probability distributions; interpretations of statistical concepts and graphs; methods for doing parameter estimation, hypothesis testing; chi-square test; analysis of variance; simple linear regression. Admission to Teacher Education and permission is required.

MAE 6647         Exploring Data Analysis                3

Teachers engage in a process of data analysis that includes posing questions, collecting and describing data, developing statistics or graphical displays, and forming conclusions. They develop a variety of statistical thinking skills and an appreciation for data analysis as a tool for answering important real-world questions.

MAE 6659         Introduction to Online Learning and Mathematical Inquiry                3

Introduces inquiry learning in mathematics and the online learning environment. Working in “virtual study groups,” teachers conduct mathematical investigations, use interactive math tools, and participate in inquiry-based learning experiences similar to ones for their students. Throughout, teachers consider ways to communicate their mathematical thinking clearly and accurately. Mathematics concepts and activities address whole number place value, composition and decomposition of numbers, perimeter of rectangles, analyzing patterns, representing patterns in words and symbols, and mathematical explanation.

MAE 6930         Proseminar in Mathematics Education               1

Each M.A. or M.A.T. candidate (except those who choose the thesis option), shall, under the direction of a project advisor, independently investigate a topic or topics in mathematics/statistics or mathematics education through the study of journal articles or other appropriate sources. The candidate shall submit a formal written report and make an oral presentation of the results of his/her investigations. The goal of the proseminar is to provide students an opportunity to integrate the total experience gained during their graduate training. Graded on satisfactory/unsatisfactory basis only. Admission to M.A. candidacy and permission is required.

MAE 8980         Ed. D. Dissertation in Mathematics Education       1-18

Major independent research designed especially for candidates in the Ed. D. curriculum and instruction program with specialization in mathematics/statistics; mathematics education. This dissertation will reflect intensive research produced by the student and collaboratively developed with the student’s graduate committee. Graded on satisfactory/ unsatisfactory basis only. Admission to candidacy and permission of Dissertation advisor is required.