This microcredential represents educators' effective use of both mathematics educational technologies (e.g. Desmos, Geogebra, virtual manipulatives) and general educational technologies (e.g. Google Classroom, Canvas) for student learning. This microcredential fulfills one of the requirements of a pathway for endorsement. Click the More Info button to learn more.

This is the sixth of six microcredentials for Statistics & Probability. This microcredential represents an educator's planning for, implementation of, and reflection on the use of formative and summative assessments to teach a unit of Probability and Statistics with a focus on conceptual understanding.

This is the first of six microcredentials for Statistics & Probability. This microcredential represents an educator's planning for, implementation of, and reflection on a unit plan related to Probability and Statistics that allows for the exploration and investigation of a conceptual idea.

This microcredential represents an educator's planning for, implementation of, and reflection on a Statistics & Probability leaning unit that addresses the Statistical Habits of Mind, is aligned to grade-specific standards, anticipates student responses, and includes questions to further students' learning. This microcredential is the fifth of six in the Statistics & Probability for Secondary Mathematics Teaching stack.

This microcredential represents an educator's ability to identify, address, and reflect on student misconceptions related to a Statistics & Probability lesson that is aligned to grade-specific standards, anticipates student responses, and includes questions to further students' learning. This microcredential is the second of six in the Statistics & Probability for Secondary Mathematics Teaching stack.

This is the third of six microcredentials for Statistics & Probability. This microcredential represents an educator's planning for, implementation of, and reflection on the use of technology to teach Probability and Statistics that allows for the exploration and investigation of a conceptual idea.

This microcredential represents educators' ability to effectively and consistently use mathematical modeling as a part of mathematics instruction. This microcredential fulfills one of the requirements of a pathway for endorsement. Click the More Info button to learn more.

In this undergraduate level seminar series topics vary from year to year. Students present and discuss the subject matter, and are provided with instruction and practice in written and oral communication. Some experience with proofs required. The topic for fall 2008: Computational algebra and algebraic geometry.

Seminar for mathematics majors. Students present and discuss the subject matter and write up exercises. Topic for Fall 2002: Classical geometry, beginning with Euclid's Elements and continuing to applications of Galois theory that solve the geometry problems of antiquity. No prior knowledge of Galois theory required. Instruction and practice in oral communication provided.

Seminar for mathematics majors. Students present and discuss the subject matter, taken from current journals or books. Topics vary from year to year. Topic for Fall 2002: Quantum calculus. Instruction and practice in oral communication provided.

This course is a seminar in topology. The main mathematical goal is to learn about the fundamental group, homology and cohomology. The main non-mathematical goal is to obtain experience giving math talks.

This is an advanced topics course in model theory whose main theme is simple theories. We treat simple theories in the framework of compact abstract theories, which is more general than that of first order theories. We cover the basic properties of independence (i.e., non-dividing) in simple theories, the characterisation of simple theories by the existence of a notion of independence, and hyperimaginary canonical bases.

This course is designed to introduce the student to the study of Calculus through concrete applications. Upon successful completion of this course, students will be able to: Define and identify functions; Define and identify the domain, range, and graph of a function; Define and identify one-to-one, onto, and linear functions; Analyze and graph transformations of functions, such as shifts and dilations, and compositions of functions; Characterize, compute, and graph inverse functions; Graph and describe exponential and logarithmic functions; Define and calculate limits and one-sided limits; Identify vertical asymptotes; Define continuity and determine whether a function is continuous; State and apply the Intermediate Value Theorem; State the Squeeze Theorem and use it to calculate limits; Calculate limits at infinity and identify horizontal asymptotes; Calculate limits of rational and radical functions; State the epsilon-delta definition of a limit and use it in simple situations to show a limit exists; Draw a diagram to explain the tangent-line problem; State several different versions of the limit definition of the derivative, and use multiple notations for the derivative; Understand the derivative as a rate of change, and give some examples of its application, such as velocity; Calculate simple derivatives using the limit definition; Use the power, product, quotient, and chain rules to calculate derivatives; Use implicit differentiation to find derivatives; Find derivatives of inverse functions; Find derivatives of trigonometric, exponential, logarithmic, and inverse trigonometric functions; Solve problems involving rectilinear motion using derivatives; Solve problems involving related rates; Define local and absolute extrema; Use critical points to find local extrema; Use the first and second derivative tests to find intervals of increase and decrease and to find information about concavity and inflection points; Sketch functions using information from the first and second derivative tests; Use the first and second derivative tests to solve optimization (maximum/minimum value) problems; State and apply Rolle's Theorem and the Mean Value Theorem; Explain the meaning of linear approximations and differentials with a sketch; Use linear approximation to solve problems in applications; State and apply L'Hopital's Rule for indeterminate forms; Explain Newton's method using an illustration; Execute several steps of Newton's method and use it to approximate solutions to a root-finding problem; Define antiderivatives and the indefinite integral; State the properties of the indefinite integral; Relate the definite integral to the initial value problem and the area problem; Set up and calculate a Riemann sum; Estimate the area under a curve numerically using the Midpoint Rule; State the Fundamental Theorem of Calculus and use it to calculate definite integrals; State and apply basic properties of the definite integral; Use substitution to compute definite integrals. (Mathematics 101; See also: Biology 103, Chemistry 003, Computer Science 103, Economics 103, Mechanical Engineering 001)

The Software Engineering Program (SEP) is a multi-year, comprehensive, standards-aligned computer science education program for grades 6 to 12. The goals of the program are:

-Increase the number of high school graduates, particularly from traditionally underrepresented groups, that are ready to pursue new and emerging technology-driven roles across industries.

-Develop student computational thinking and problem-solving skills in real-world contexts.

The SEP curriculum gives students instruction and experience in the following areas: computer programming, robotics, web design, physical computing, and game design. SEP students participate in local and central hackathons, and in work-based experiences with major industry leaders and partners.

In Sounding Out activities, students take a regular word, such as sat, produce the letter-sound pattern "sssaaat," and blend to produce the word sat. This is a crucial development in learning to read, bringing together skills that students have spent many weeks working on and providing the first excitement of reading unaided. Being able to sound out regular words also provides students with a self-teaching capability: they can decode unaided words they do not yet recognize on sight.

In this lesson, students examine the first decade of the AIDS epidemic from a variety of vantage points: from the scientists who worked to discover the cause of the epidemic to the public health officials who developed methods of treatment to the activists who demanded that the nation pay attention. Then, students examine how the LGBTQ+ community responded to the epidemic through music and art by watching clips from CNN Soundtracks and conducting a gallery walk featuring artists whose lives were directly impacted by the AIDS crisis.

In this lesson, students will investigate the work and legacies of Black and Latinx pioneers often ignored in larger discussions about LGBTQ+ history, by collaborating with other students in analyzing primary source documents. Students will also explore the ways city governments and activists are working to combat the erasure of Black and Latinx trans women and the broader whitewashing of the Gay Liberation Movement.

Students will compare Kendrick Lamar's "Alright" with black protest songs of the past in order to identify common themes and ideas tat artists have used to illustrate black experience in the United States.

In this lesson. students will read statements from Black Lives Matter and watch a clip from CNN's Soundtracks to explore the significance of the movement and the music made in response to the issues they rally behind. Students will also analyze clips from the music videos of artists Kendrick Lamar and Beyonce Knowles-Carter to understand music's relation to the Black Lives Matter movement.

(Note: this lesson contains some profanity. Teacher discretion advised.)

Students will analyze demographic data, and watch footage from CNN's Soundtrakcs series and a congressional hearing after the disaster to better understand the magnitude of Hurricane Katrina, and the way the federal government's response brought to light issues of racial neglect. Students will also invesitgate how Kanye West's comments during a national fundraiser articulated the disappointment and anger many black American's felt following Hurricane Katrina.