Graduate Courses (Mathematics Education 254)

15:254:540
Introduction to Mathematics Education (3)
Required
of all graduate students in mathematics education. Review and study of
literature in mathematics education research and practice, including
theoretical perspectives and empirical studies. Students develop
projects on topics of current interest.

15:254:541
Analysis of Mathematics Curricula I (3)
A close and critical look at K12 mathematics curricula in light of current recommendations for curricula, teaching, and learning.

15:254:542
Analysis of Mathematics Curricula II (3)
Development and implementation of lessons arising out of the foundation of Analysis of Mathematics Curricula I.
Prerequisite: 15:254:541.

15:254:543
Background for Teaching Elementary School Mathematics I (3)
Focus on numeration skills, counting, place value and number base, and the four basic arithmetic operations as they are taught to, and learned by, elementary school children.

15:254:544
Background for Teaching Elementary School Mathematics II (3)
The development of basic ideas in geometry, measurement, probability and statistics, and related areas, and methods for developing this content in the classroom.

15:254:547
Seminar in Elementary School Mathematics Education (3)
Analysis of the philosophical and psychological bases of mathematics education in the elementary school, and an examination of current trends in curriculum and materials development, teacher training, achievement assessment, and other lines of research.

15:254:548
Technology in Mathematics Teaching (3)
Focus on development of familiarity and facility with major technologies used in K12 teaching. Highlighted hardware and software include graphing calculators; algebraic system, function plotting, and geometry construction software; and modeling, simulation, and tutorial software. Potential impact of technologies on traditional school mathematics curricula.
Prerequisite: Undergraduate mathematics major or equivalent.

15:254:551
Development of Children's Reasoning about Fraction Ideas (3)
The purpose of this online course is to learn about how children reason about fraction ideas. How some students build understanding of fundamental fraction concepts and operations will be examined through studying videos from classroombased research and related literature on both the obstacles to fraction learning and the development of mathematical reasoning about fractions. Also to be explored is the relationship of learning fractions and other math topics.

15:254:552
Foundations of Algebraic Reasoning (3)
This hybrid course is designed to provide participants with opportunities to think deeply about the development of algebraic ideas among upper elementary and middle school students in a variety of school communities. Course activities will blend inperson, oncampus sessions for the whole class and independent analysis for small groups and individuals with interactions done asynchronously online through an eCollege course site.

15:254:553
Math Lesson Study (3)
The course is designed for elementary and middlegrade classroom teachers as a practical researchbased set of experiences using a modified lesson study approach and focusing on the development of mathematical reasoning and justification. Participants will engage in a variety of activities that include (a) inperson, oncampus meetings on four Saturdays (one per month); (b) inschool lesson study implementations; and (c) continuing discussions between these activities carried out asynchronously online through a course website (e.g., eCollege).

15:254:591
Topics in Mathematics Education (BA)

15:254:592
Topics in Mathematics Education (BA)

15:254:593
Topics in Mathematics Education (BA)

15:254:594
Topics in Mathematics Education (BA)

15:254:595
Topics in Mathematics Education: Geometry and Measurement for Middle School Teaching (BA)
Basic properties and measurement of geometric objects in low dimensions. Rigid motions and symmetry, similarity. Formulas for perimeter, area, and volume for polygons and polyhedrons. Approximating these quantities for curvilinear objects. Explanation and justification.
Prerequisite: Permission of the instructor; not open to doctoral students in mathematics; ordinarily restricted to experienced K8 teachers and to graduate students of mathematics education.

15:254:596
Topics in Mathematics Education: Probability and Data for Middle School (BA)
Basic concepts and application of probability and the analysis of data. Empirical as well as theoretical approaches to finite probability (e.g., dice) and uniform distributions. Median and mean, variance, stem and leaf plots; boxandwhisker plots, outliers. Decisions in the presence of risk.
Prerequisite: Permission of the instructor; not open to doctoral students in mathematics; ordinarily restricted to experienced K8 teachers and to graduate students of mathematics education.

15:254:597
Topics in Mathematics Education: Discrete Mathematics and Problem Solving for Middlle School Teaching (BA)
Map coloring; Euler and Hamiltonian graphsthe traveling salesman problem; graphsspanning trees, shortest routes, systematic counting; number patternsPascal's triangle, Fibonacci numbers. Problemsolving strategies to overcome mathematics anxiety and avoidance.
Prerequisite: Permission of the instructor; not open to doctoral students in mathematics; ordinarily restricted to experienced K8 teachers and to graduate students of mathematics education.

15:254:598
Topics in Mathematics Education (BA)

15:254:599
Topics in Mathematics Education (BA)

15:254:644
Mathematics Education Practicum (3)
Laboratory or fieldwork activity in which students work on a project related to learning mathematics.

15:254:645
Independent Study in Mathematics Education (BA)
Each student defines and carries out an appropriate project in mathematics education.

15:254:648
Topics in Mathematics Education (3)

15:254:649
Topics in Mathematics Education: Seminar in Mathematical Ideas for Teaching (3)
Treats
problematical yet fundamental ideas in the middle grades curriculum by
exploring their historical development, and the logical and cognitive
issues involved in understanding and applying them: zero, negative
numbers, numeration systems, algebraic thinking, fractals.
Prerequisite: Permission of the instructor; not open to doctoral students in mathematics; ordinarily restricted to experienced K8 teachers and to graduate students of mathematics education.

15:254:650
Topics in Mathematics Education (3)
