TEACHING

COLLEGE ALGEBRA

Students: General Education + STEM Majors

Modality: Face-to-Face

Course Number: MATH 101

Description: This course is focused on helping students develop a deep understanding of families of functions and utilize them to build and interpret representations and model real-life applications. In addition to teaching this course, I also served as the Course Coordinator.

PRECALCULUS

Students: General Education + STEM Majors

Modality: Face-to-Face & Online-Synchronous

Institution: Virginia Commonwealth University

Course Number: MATH 151

Description: This course is focused on helping students develop an understanding of concepts and applications of algebra and trigonometry. Topics include graphics, transformations and inverses of functions; linear, exponential, logarithmic, power, polynomial, rational and trigonometric functions. In this course, we used ALEKS as a homework and instructional support tool. In addition to teaching this course, I also served as the Course Coordinator.

Modality: Face-to-Face

Course Number: MATH 104

Description: This course is focused on helping students develop an understanding of rudiments of differential and integral calculus with applications to problems from business, economics, and social sciences.

CALCULUS 1

Students: STEM Majors

Modality: Face-to-Face

Institution: Virginia Commonwealth University

Course Number: MATH 200

Description: This course is focused on helping students develop an understanding of limits, continuity, derivatives, differentials, antiderivatives and definite integrals. In this course, I implemented activities from the Active Calculus (single variable) textbook.

MATHEMATICS MATTERS

Students: Pre-Service Elementary Teachers

Modality: Face-to-Face

Course Number: MATH 300

Description: This course is focused on helping pre-service elementary teachers develop a deeper understanding of numbers and operations and mathematical skills that are imperative to teaching mathematics in grades K-6.

ALGEBRAIC STRUCTURES & FUNCTIONS

Students: Pre-Service Secondary Teachers

Modality: Face-to-Face

Institution: Virginia Commonwealth University

Course Number: MATH 404

Description: This course is focused on helping students understanding definitions and how to connect different representations of a definition; proving, reasoning, and explaining; and making connections to algebra teaching and explanation. In this course, I piloted the materials developed as part of the MODULE(S^2)  NSF grant.

HISTORY OF MATHEMATICS

Students: Pre-Service Secondary Teachers

Modality: Online-Synchronous

Institution: Virginia Commonwealth University

Course Number: MATH 430

Description: This course focuses on the history of mathematics. We explore how history is constructed, attending to the multiple, intersecting, and sometimes contradictory stories that exist. We also focus on how the idea of what a mathematician is has been constructed, and how we can deconstruct this notion. This course was built upon a model developed by Daniel Reinholz at San Diego State University.

NUMBERS, GEOMETRY, & ALGEBRAIC THINKING II for K-3 MATH SPECIALISTS

Students: In-Service Elementary Teachers

Modality: Face-to-Face

Course Number: MATH 802P

Description: This course is focused on helping in-service elementary teachers develop mathematical "habits of mind" (Cuoco, Goldenberg, & Mark, 1996), a deeper understanding of fractions and geometry, problem solving skills, and mathematical communication skills.

FUNCTIONS & ALGEBRA I for K-8 MATH SPECIALISTS

Students: In-Service Elementary Teachers

Modality: Face-to-Face

Institution: Virginia Commonwealth University

Course Number: MATH 663

Description: This course develops a deep understanding of teaching algebra topics in the K-8 curriculum: variables, patterns and functions; modeling with and interpreting multiple representations; linear equations and equality, linear functions, slope as a rate of change and intercepts related to contextual situations. In addition, the course introduces non-linear functions, including quadratics and exponentials. Through class discussions and class activities participants connect these algebraic concepts to the related concepts that support primary and middle school arithmetic such as equality and basic computations. Attention is also be given to interpreting and assessing students’ thinking. Course material is drawn from the Developing Mathematical Ideas curriculum (Schifter, Bastable, & Russell, 2008). The development of this course was supported by the National Science Foundation (DUE-1660774).

FUNCTIONS & ALGEBRA II for K-8 MATH SPECIALISTS

Students: In-Service Elementary Teachers

Modality: Face-to-Face

Institution: Virginia Commonwealth University

Course Number: MATH 663

Description: This course is intended to follow Functions and Algebra I and to be a second algebra course to help deepen the understanding of K-8 teachers. The course content helps participants develop a deeper understanding of the connection between arithmetic and algebra topics in the K-8 curriculum: laws of arithmetic; relational thinking; variables; patterns and functions; modeling with and interpreting multiple representations; linear and non-linear functions (including but not limited to polynomial and exponential); and systems of linear equations. The emphasis is placed on activities that require students to demonstrate an understanding of the concepts and that focus on pedagogical techniques appropriate for K-8 school students. Course material is drawn from the Developing Mathematical Ideas curriculum (Schifter, Bastable, & Russell, 2008). The development of this course was supported by the National Science Foundation (DUE-1660774).