# Math (MATX)

MATX 333   Mathematical Theory of Interest 3 credits

This course covers a range of topics relevant to Actuaries, including measurement of interest rates, basic problems in interest theory, basic annuities, continuous and varying annuities, yield rates, amortization, bonds and other securities, practical applications, and stochastic approaches to interest. More broadly, course material will cover pricing of bonds, mortgages, annuities, and other financial instruments. Return on investment, duration, convexity, and portfolio immunization are also covered.

MATX 383   Financial Mathematics: Discrete Time 3 credits

This course serves as an introduction to derivative contracts and option combinations. It also covers Arbitrage-free option bounds & early exercise of American options. Arbitrage-free valuation and risk-neutral pricing are used to price vanilla and exotic contracts using the binomial asset pricing model in discrete time, and the quantitative strategies to hedge portfolios consisting of such assets are also discussed.

MATX 433   Financial Mathematics: Continuous Time 3 credits

This course covers the rational valuation of stock and currency options and the application of option “Greeks" to solve a range of problems. It also serves as an introduction to lognormal pricing, Monte-Carlo simulations, and Brownian motion. Finally, it explores the interest rate models of Vasicek, Cox-Ross-Ingersoll, and Black-Derman-Toy to model and price derivatives on bonds.

MATX 483   Risk Management with R 3 credits

This course focuses on team-based problem solving in actuarial science & risk management. Students will learn the fundamentals of the R programming language, RStudio and R Markdown, and use these tools to complete a range of projects. Projects vary, but may include bond and loan amortization, analysis of the efficient frontier and the capital asset pricing method, insurance liability & estimates of expected loss. This course culminates in a capstone project that ties together skills from throughout the Actuarial Sciences program.

MATX 500   Adding Relevance to Teaching Mathematics 3 credits

When students engage in mathematics that is relevant to their world, they pose questions, seek answers, and are passionate about math. Relevant and rigorous math satisfies students’ natural curiosity while building their understanding of math concepts. When coupled with asking good questions, engaging in three-act math tasks, and incorporating technology, relevant math can also enhance literacy skills, interest in math, and engagement in authentic learning experiences that connect to problem-solving in the real world. In this course, you will learn practical methods for using relevant math concepts, theory, and practice to spur students’ excitement for and engagement with math tasks. By examining current research and practice, you will be able to develop lessons that students will both love and remember. For example, you’ll develop strategies for integrating inquiry-based learning, authentic problem-solving, math-based investigations, and student-centered approaches to help students tackle complex and rigorous questions. By the end of the course, you will be able to integrate researched-based techniques to guide mathematical inquiry in a manner that motivates and excites students, supports math comprehension, and creates a lifelong interest in math. This course is offered through Advancement Course.

MATX 501   Building an Effective Elementary Mathematics Curriculum 3 credits

Elementary-level math sets up the foundation for all higher mathematics and the basic math skills that students will use for their entire adult lives. With so much at stake, how do you ensure students leave your classroom with the knowledge they need to succeed in the future? In this course, you will learn to develop a strong and robust mathematics curriculum for your K–6 students. Whether you want to change what you teach or how you teach it, you will receive step-by-step advice for how to ensure your curriculum effectively communicates and assesses the skills advised by standards such as Common Core and the National Council of Teachers of Mathematics (NCTM). You will cultivate strategies for differentiating instruction, selecting engaging activities, reaching students with diverse learning styles, communicating effectively to both individual students and the entire class, ensuring authentic understanding, and connecting your instruction to district and national standards. With the knowledge and methods you gain in this course, you will be prepared to offer your students a cohesive and cutting-edge math curriculum with compelling activities and effective teaching strategies. This course is offered through Advancement Courses.

MATX 502   Closing the Gender Gap in STEM 3 credits

The gender gap in science, technology, engineering, and math (STEM) is real. Females are less likely to do well on the math sections of college entrance exams, less likely to major in STEM fields, and less likely to take most math and science Advanced Placement exams, among many other startling statistics. Divisions between females and males in attitudes toward STEM subjects appear very early in elementary school and are exacerbated by societal beliefs about the interests and aptitudes of children of different genders. In this course, you will explore the nature of the gender gap in math and science and how you can help to close it. You’ll learn specific strategies for helping girls become better learners in STEM subjects and mitigate negative beliefs about their abilities in these fields. Through methods such as differentiating lessons, teaching to girls’ typical learning styles, and working with girls’ strengths, you will cultivate new methods of addressing the gender gap in your classroom by increasing girls’ confidence, abilities, and performance in STEM fields. Using the techniques from this course, you will be able to empower your female students to take a deeper interest in STEM subjects and pursue further education and careers in these important fields. This course is offered through Advancement Courses.

MATX 503   Designing and Implementing Quality STEM Instruction 3 credits

The importance of STEM (science, technology, engineering, and mathematics) in education and the workforce has been well-established over the last couple of decades. But how can you incorporate STEM activities in your elementary and middle school classroom? Traditionally, science and math are taught separately, technology is its own class or elective, and engineering projects are reserved for specialized classrooms. STEM, however, introduces a major shift in how to teach these disciplines, and mirrors how these fields work in the real world. In this course, you will learn how to successfully plan and implement authentic, integrated STEM instruction that engages students in the processes and practices of scientists, mathematicians, and engineers. Starting with an overview of what STEM is, you will explore the benefits of integrating STEM project-based learning and how to plan effective STEM instruction. You will cultivate ideas for STEM units, projects, and lessons; modifying projects and lessons based on class and individual student needs; and designing integrative STEM instruction. Armed with the practical tools from this course, you will be able to engage your students to think and act like real scientists and engineers. This course is offered through Advancement Courses.

MATX 504   Fundamentals of Teaching Mathematics 3 credits

Although math equations never change, there is no end to the tools and techniques you can use to teach them. In this course, you will learn a variety of methods for introducing students to mathematical reasoning, sets and functions, and whole numbers. You’ll develop strategies for mathematical instruction on a variety of topics, including number theory, integers, rational numbers, geometry, algebra, statistics, and probability. In addition, you’ll create a mathematics-based project that relates to the real world, helping students to see the importance and authenticity of the work they’re doing. The strategies you learn in this course will prepare you to teach a variety of mathematical topics in a memorable and engaging way for your students. This course is offered through Advancement Courses.

MATX 505   Math Manipulatives for Geometry 3 credits

Whether students realize it or not, geometry is all around them. Whether it’s through architecture, interior design, engineering, urban planning, or even fashion design, geometry touches many parts of students’ lives and possible future careers, and the spatial reasoning that undergirds this subject is essential for students’ academic success. When used correctly, manipulatives are excellent tools to help make geometric concepts more tangible for students without ever having to leave your classroom. In this course, you will learn a number of techniques for using manipulatives to teach geometric concepts to students of all grade levels. You’ll explore a wide variety of physical and virtual manipulatives to determine which ones will be most beneficial for your students and your lesson plans. In addition, you’ll develop strategies to connect the study of geometry to other disciplines such as language arts, project-based learning, and other creative endeavors. Using the tools and techniques from this course, you will be able to instill vital geometric principles in your students that will not only help them succeed academically, but give them spatial reasoning and problem-solving skills they can use throughout their lives. This course is offered through Advancement Courses.

MATX 506   Problem Solving in Mathematics 3 credits

The ability to solve problems creatively and flexibly is becoming increasingly essential in today’s world, our careers, and our daily lives. Mathematics is an excellent vehicle for learning these skills, and problem solving is a wonderful way to develop conceptual understanding and procedural fluency in mathematics. In this course, you will examine the research and reasoning behind the movement to emphasize problem solving as a foundation of mathematics education. You will learn how students solve problems and develop strategies for incorporating problem solving in the classroom, both as a goal and as a means for mathematical discovery. You’ll also cultivate resources for finding and creating authentic problems for students to solve both individually and collaboratively, and methods for assessing their work in a helpful, meaningful way. With the techniques you learn in this course, you will be able to expand your students’ thought processes in a way that helps them in math class and beyond. This course is offered through Advancement Courses.

MATX 507   Real-World Applications for Algebra 3 credits

“When will I ever use this?” That’s the common complaint from students when they first face the rigors of higher mathematics, starting with algebra. Unfortunately, many teachers’ response is to give them an off-the-cuff answer (that they’ll forget five minutes later) and then go back to talking about equations. However, you can teach algebra in a way that helps students see its connections to their lives and future careers. By creating authentic assessments that relate to real-life problems, you can increase your students’ engagement and motivation in learning the basic principles of algebra. In this course, you will learn to adapt traditional algebra lessons to incorporate modeling and project-based learning. You will examine how students develop problem-solving skills so you can design lessons to aid in that process. Finally, you will create an authentic algebra-based project that you can start using in your class immediately to help your students see the connections between what they’re learning and what’s beyond the classroom. This course is offered through Advancement Courses.

MATX 508   Fostering Mathematical Mindsets 3 credits

Mathematics is not the regurgitation of the facts and algorithms that have traumatized children for generations. Science has proven that we aren’t born with or without an elusive math gene that opens doors to successful and rewarding careers. Rather, math is an expression of the patterns that we recognize in our universe, allowing us to make sense of and communicate the wonder of our existence. Building upon Carol Dweck’s landmark mindset theory, Stanford University’s Jo Boaler has embarked upon a mission to make math accessible to all, and this course gives you the tools to join her mission. You’ll examine current research on how our brains process learning in general and math in particular. In addition, you’ll develop strategies to encourage students to develop authentic number sense and generate enthusiasm in students while diminishing math anxiety. You’ll also learn best practices for providing equitable access to all of your students. With the strategies that you learn in this course, you will be able to create a learning environment that encourages all students to access their natural mathematical abilities and build upon their ability to recognize the math that exists all around them. This course is offered through Advancement Courses.

MATX 509   Strategies for Developing an Engaging and Effective Secondary Math Curriculum 3 credits

You’ve no doubt experienced it: the blank stares, the frustrated expressions, the complaints that students will never use math concepts in “the real world.” However, you know that mathematical thinking and principles are essential for students’ future; you just need to help them see it. In this course, you will develop a plan for a strong mathematics curriculum that emphasizes a deep and thorough understanding of concepts and skills. You will cultivate strategies and tools to strengthen and deepen math instruction by integrating hands-on activities that highlight critical thinking skills. In addition, you will learn techniques for differentiating and scaffolding your instruction to ensure that you reach students with a variety of learning styles and proficiency levels. After completing the course, you will be prepared to provide your students with an in-depth math curriculum that features real-world activities and best-practice teaching strategies. This course is offered through Advancement Courses.

MATX 510   Supporting Literacy Skills in the Elementary Math Classroom 3 credits

MATX 511   Supporting Student Success in STEM Using Blended Learning 3 credits

The question of whether technology will replace teachers in the classroom is one that often arises in digital learning conversations. While we can agree that computers will not replace our educators, research shows that technology can aid teachers in achieving their instructional goals. In this course, you will learn how to use blended learning–instruction that combines online and onsite (in-classroom) resources and practices–to build a collaborative, engaging, efficient, and effective learning environment that hones students’ interest in STEM subjects, and cultivates the skills they need to tackle the challenges of the 21st century. NOTE: If you have taken the Advancement Courses online course, Blended Learning: Teaching in the Digital Age, we advise you not to take this course, as its contents are similar. You may, instead, take one of our other technology courses. This course is offered through Advancement Courses.

MATX 512   Teaching Math With Children's Literature 3 credits

Imagine a group of students gathered around their teacher as she reads a beautifully illustrated picture book. She pauses to ask questions about the story, inviting students to share their thinking with the group. After the read-aloud, the students talk excitedly about the book and then play a game based on the story. The teacher is relaxed and animated, and the students love the playful activity. Now imagine this is a math lesson! In this course, you will explore the many reasons why it’s beneficial to incorporate children’s literature into elementary and middle school mathematics instruction. You will be equipped with several examples of picture books, children’s literature, lessons, activities, projects, and games that creatively extend read-alouds into open-ended opportunities to develop students’ mathematical thinking. In addition, you will learn how to develop combined math–literature learning experiences that are accessible to many types of learners, foster critical thinking, facilitate collaboration and math-based discussions, and generally encourage students and teachers to have FUN with math! Say goodbye to math lessons that only focus on numbers, solutions, and computation, and say hello to bringing the best of children’s literature into math teaching and learning! This course is offered through Advancement Courses.

MATX 513   Tech Tools for the Math Classroom 3 credits

MATX 514   The Common Core State Standards in Math: Connecting Content and Practice, 6-8 3 credits

The Common Core State Standards in Math (CCSSM) and the Standards of Mathematical Practice (SMP) provide valuable benchmarks for the skills your middle school students need to succeed in the modern world. However, how do you know if your activities and lesson plans align with these standards to prepare students for success in their future education and careers? Whether you’re a new or experienced teacher, this course offers you the opportunity and motivation to gain a deep familiarity with the Common Core’s content and philosophy in middle school mathematics. These standards encourage deep conceptual understanding, procedural fluency, and creative and flexible problem-solving skills that will empower your students to learn individually and collaboratively. You’ll compare your current classroom practices with CCSSM and SMP standards, and develop or compile hands-on, interactive, student-centered activities and instructional plans that align with these goals. CCSSM doesn’t have to be overwhelming. With the techniques you learn in this course, you’ll be able to ensure that your curriculum aligns with national standards and sets up your students for academic success. This course is offered through Advancement Courses.

MATX 515   The Common Core State Standards in Math: Connecting Content and Practice, 9-12 3 credits

The Common Core State Standards in Math (CCSSM) and the Standards of Mathematical Practice (SMP) provide valuable benchmarks for the skills your high school students need to succeed in the modern world. However, how do you know if your activities and lesson plans align with these standards to prepare students for success in their future education and careers? Whether you’re a new or experienced teacher, this course offers you the opportunity and motivation to gain a deep familiarity with the Common Core’s content and philosophy in high school mathematics. These standards encourage deep conceptual understanding, procedural fluency, and creative and flexible problem-solving skills that will empower your students to learn individually and collaboratively. You’ll compare your current classroom practices with CCSSM and SMP standards, and develop or compile hands-on, interactive, student-centered activities and instructional plans that align with these goals. CCSSM doesn’t have to be overwhelming. With the techniques you learn in this course, you’ll be able to ensure that your curriculum aligns with national standards and sets up your students for academic success. This course is offered through Advancement Courses.

MATX 516   The Common Core State Standards in Math: Connecting Content and Practice, K-5 3 credits

The Common Core State Standards in Math (CCSSM) and the Standards of Mathematical Practice (SMP) provide valuable benchmarks for the skills your elementary students need to succeed in the modern world. However, how do you know if your activities and lesson plans align with these standards to prepare students for success in their future education and careers? Whether you’re a new or experienced teacher, this course offers you the opportunity and motivation to gain a deep familiarity with the Common Core’s content and philosophy in elementary mathematics. These standards encourage deep conceptual understanding, procedural fluency, and creative and flexible problem-solving skills that will empower your students to learn individually and collaboratively. You’ll compare your current classroom practices with CCSSM and SMP standards, and develop or compile hands-on, interactive, student-centered activities and instructional plans that align with these goals. CCSSM doesn’t have to be overwhelming. With the techniques you learn in this course, you’ll be able to ensure that your curriculum aligns with national standards and sets up your students for academic success. This course is offered through Advancement Courses.

MATX 517   The Language of Math 3 credits

Unlike other subjects, math uses unfamiliar language and symbols that can sometimes intimidate students before they even start to work an equation. As with any technical language, mastering the terminology is essential to the conceptual understanding of the subject matter, but where do you start so as not to overwhelm your students? In this course, you will examine mathematical definitions, the complexity and potential ambiguities of terms, and how to define mathematical symbols as a part of students’ vocabulary. You will look at the grammatical structure of mathematical language, and how applying that structure can assist in conceptual understanding. Visual representations and technology can be a great tool for helping students master math terminology. In addition to learning how to incorporate visuals, you will develop road maps for helping students approach word problems, and create rich problem-solving tasks to help build students’ conceptual understanding. With the techniques you learn in this course, you be better equipped to prepare your students to navigate the language of mathematics in your classroom and beyond. This course is offered through Advancement Courses.

MATX 519   Teaching Life Skills and Financial Literacy 3 credits