harvard university masters in education

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Mathematics for Teaching Master’s Degree Program

Increase your impact in the classroom by learning new strategies from Harvard-trained faculty.

Online Courses

11 out of 12 total courses

On-Campus Experience

One 3-week summer course

$3,340 per course

Next Start Term: Fall 2024

Registration open through August 29

Program Overview

Through the master’s degree field in mathematics for teaching you:

• Build a deeper understanding of mathematics content to inspire curiosity, foster inquiry, and cultivate problem-solving skills in your students, both in their learning and in real-life applications.
• Acquire pedagogical content knowledge to effectively support student motivation and interest in mathematics within today’s complex and dynamic academic and social environments.
• Develop a comprehensive understanding of how students learn and do math, including how misconceptions, preconceptions, and evolving mathematical thinking can enhance comprehension of mathematical concepts.
• Acquire the tools and resources needed to excel in mathematics education and positively impact your students’ learning experience.
• Earn an optional certificate in learning design and technology or math leadership to enhance your leadership capacity in mathematics education further.

Program Benefits

Customizable course curriculum and stackable certificates

A faculty of math instructors, many of who have earned PhDs in math from Harvard University and have taught at Harvard

Personalized academic & career advising

A capstone project or thesis option

Paid research opportunities

Harvard Alumni Association membership upon graduation

Customizable Course Curriculum

Our curriculum is flexible in pace and customizable by design. You can study part time, choosing courses that fit your schedule and align with your career goals.

As you work through the 12-course program, you’ll focus on topics such as:

• Discrete mathematics
• Mathematical modeling
• Graph theory

To further personalize your experience, you choose between a thesis or capstone track.  Along the way, you can earn a graduate certificate in learning design and technology or math leadership .

11 Online Courses

• Asynchronous and synchronous formats
• Fall, spring, January, and summer options

Join faculty and peers in person for an immersive 3-week summer course: Appraising and Reimagining Middle and High School Mathematics Education.

Capstone or Thesis Track

• Thesis: features a 9-month independent research project with a faculty advisor
• Capstone: includes exploring contemporary research in math education and creating a state-of-the-art lesson plan

The path to your degree begins before you apply to the program.

First, you’ll register for and complete 2 required courses, earning at least a B in each. These foundational courses are investments in your studies and count toward your degree, helping ensure success in the program.

Enroll for your first admission course this fall. Course registration is open July 22–August 29.

To get started, explore degree requirements, confirm your initial eligibility, and learn more about our unique “earn your way in” admissions process.

Earning a Stackable Certificate

As you work your way toward your master’s degree, you can take courses that also count — or “stack” — toward a graduate certificate. It’s a cost-effective, time-saving opportunity to build specialized skills and earn a second professional credential.

For each certificate, you can choose courses that best fit your goals.

Stackable graduate certificates include:

• Learning Design and Technology
• Math Leadership

A Faculty of Mathematics Experts

You’ll learn from Harvard faculty and industry leaders who will help you gain real-world perspectives. Our instructors are renowned experts in mathematics — and how to teach the subject. They bring a genuine passion for teaching, with students giving our faculty an average rating of 4.6 out of 5.

Featured Faculty

Carolyn gardner-thomas.

Director, Mathematics for Teaching Program, Harvard Extension School

Teaches Math Teacher Leadership, Teaching Projects: Math for Teaching Capstone

Andrew Engelward

Assistant Dean of Academic Programs at Harvard Extension School

Teaches Mathematical Foundations for Teaching Secondary School Math

Our Community at a Glance

Most of our graduates are full-time middle school and high school math teachers. A number of graduates work as math tutors, either running their own private tutoring companies, or employed by such programs as the Russian School of Mathematics.

In this program, you'll join a community of fellow educators, grow as a teacher, and, ultimately earn your Harvard University degree — a Master of Liberal Arts (ALM) in Extension Studies, Field: Mathematics for Teaching.

Download: Mathematics for Teaching Master's Degree Fact Sheet

Average Age

Course Taken Each Semester

Work Full Time

Would Recommend the Program

Professional Experience in the Field

Pursued to Deepen Expertise

My coursework at Harvard Extension supported and helped me to develop the concept behind Educational Justice... My professors at Harvard have not only been huge fans of our efforts, they’ve helped me to grow and support the venture in a number of key areas from research to networking.

Tuition & Financial Aid

Affordability is core to our mission. When compared to our continuing education peers, it’s a fraction of the cost.

After admission, you may qualify for financial aid . Typically, eligible students receive grant funds to cover a portion of tuition costs each term, in addition to federal financial aid options.

Learn more about the cost of attendance .

Learning & Connection

Deep learning springs from human connection. That’s why we work so hard to bring people together — whether in a live virtual classroom or an in-person seminar on campus.

Our approach to online learning fosters interaction without sacrificing flexibility. Each week, you’ll engage with your instructor, participate in peer discussions, and receive one-on-one support from teaching staff—all from your home or office.

Harvard Division of Continuing Education

The Division of Continuing Education (DCE) at Harvard University is dedicated to bringing rigorous academics and innovative teaching capabilities to those seeking to improve their lives through education. We make Harvard education accessible to lifelong learners from high school to retirement.

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The International Education Policy program draws together a community of learners sharing a common interest in critically examining issues of equity cross-nationally. The program is structured to provide an environment for the investigation and discussion of practical approaches for improving the quality of education available to children from all backgrounds.

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• Master's Degrees
• Credit Towards Other Degrees

Earning a Master’s Degree in a Different Program

• Related Contacts and Forms

Harvard Griffin GSAS offers master of arts (AM), master of science (SM), and master of engineering (ME) degrees in a select number of programs. In addition, some programs confer a master’s degree en route to the PhD (also known as a “continuing” master’s degree, or a master's in passing):

• Ordinarily, students may receive only one master’s degree from Harvard Griffin GSAS. In exceptional cases, a student may earn, with the degree-conferring program's approval, a second master’s degree if they have met the requirements for the degree and paid one year of full tuition.
• A master’s degree cannot be granted in an ad hoc subject.
• Master's degree students must meet all of the Harvard Griffin GSAS common requirements.
• Once degree requirements have been met, master’s candidates do not need to register for the term in which they submit their degree applications.
• How to apply for a masters in passing 

Master of Arts

Students studying toward a master of arts (AM) degree must be enrolled full-time, complete a minimum of eight courses (32 credits) at the level required by the department, and pay full tuition for one year. Some programs have additional course requirements.

Master of Science

Master of science (SM) candidates must complete eight courses (32 credits) and pay full tuition for one year. SM candidates are not expected to continue to the PhD. Part-time SM students must complete the degree in two years.

Master of Engineering

The master of engineering (ME) degree is a two-year program of advanced courses with research leading to a master’s thesis. ME candidates must complete 16 courses (64 credits) including 8 research-oriented courses at the 300-level, complete a thesis, and pay full tuition for two years. ME candidates are not expected to continue to the PhD.

Credit Toward Other Degrees

At the discretion of the program, courses completed to meet the requirement for a Harvard Griffin GSAS master’s degree may count toward the academic requirements for the PhD:

• Courses completed to meet the requirements for a Harvard Griffin GSAS master’s degree may not be used to meet the requirements for another Harvard degree.
• Courses completed to meet the requirements for another Harvard degree (i.e. not at Harvard Griffin GSAS) may not be used to meet the requirements for a degree at Harvard Griffin GSAS.

A PhD candidate in one department may petition another department to award them a master’s degree if that department:

• certifies that the student has met the requirements and
• has voted to support the student’s petition and application for the degree.

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Master in Public Administration

Prepare for greater responsibility across sectors with this flexible two-year program

Key Program Information

Program Length: Two years (varies for students pursuing concurrent degrees)

Degree Awarded: Master in Public Administration

Admission Application Deadline: December 2024

Financial Aid Application Deadline: January 2025

Contact the MPA Program

79 John F. Kennedy Street Littauer Building, Room 126 Cambridge, Massachusetts 02138

Elevate your impact as a public leader

The Master in Public Administration Program is for aspiring leaders with real-world experience and graduate-level coursework in economics, public policy, or management.

The Master in Public Administration (MPA) curriculum is flexible. You create a study plan that reflects your academic interests, focuses on your personal and professional aspirations, and integrates across disciplines.

You may also decide to pursue a concurrent degree in business, law, medicine, or other professional fields. You’ll earn two degrees in less time and acquire even more skills you can use to make a difference in the world.

“HKS provided opportunities for me to expand the narrative of what diversity looks like in foreign policy and foreign service.” —Korde Innis MPA 2023

About the MPA Program

The MPA curriculum is flexible. You’ll create your own 64-credit study plan that reflects your academic interests and professional aspirations.

As an MPA student, you’ll take eight credits in a Policy Area of Concentration as well as four credits in each of these key areas:

• Economics and Quantitative Analysis
• Management, Leadership, and Decision Sciences
• Public Ethics and Political Institutions

You’ll select your remaining credits to support your unique intellectual and professional objectives. You can take classes across academic disciplines at HKS and cross-register into courses at other Harvard graduate schools as well as at MIT Sloan School of Management and The Fletcher School at Tufts University. 

Sample Courses

• MLD-223: Negotiating Across Differences
• API-135: Economics of Climate Change and Environmental Policy
• DPI-640: Technology and the Public Interest: From Democracy to Technocracy and Back

Concurrent Degrees

You might consider  pursuing a second degree concurrently  if you’re interested in how the world’s public challenges can be addressed at the intersection of business, law, medicine, design, or other fields.

Pursuing a concurrent degree reduces coursework and residency requirements and makes it possible to earn two degrees in a shorter amount of time.

Concurrent degree students complete 48 credits at HKS, including four credits in each of the key areas:

Concurrent degree students are not required to fulfill the Policy Area of Concentration requirement.

Degree Requirements

The MPA Program consists of four semesters of full-time coursework in residence at HKS.

To graduate, you must:

• Earn at least 64 credits
• Finish with a GPA of B or better
• Earn a B- or higher in all courses counting towards the distribution requirements
• Matriculate as a full-time, in-residence student and take between 12-20 credits per semester
• Fulfill a Policy Area of Concentration requirement by taking eight credits in one of the policy areas at HKS
• Economics and Quantitative Analysis

HKS  faculty members  are among the most influential leaders and thinkers in their fields. They have contributed vital research and scholarship to their fields. Served in U.S. administrations. Founded learning labs to assist local communities. Led negotiations to reduce nuclear stockpiles. Reported on human rights abuses. Led efforts to address climate change. Advised governments and companies on gender equality.

They are doers as well as thinkers, shaping public policy and devising entrepreneurial approaches to public problems at the local, national, and international levels.  

MPA Faculty Chair

Kessely Hong

Mpa at a glance.

*Statistics are based on a five-year average.

Employment Snapshot:  MPA Class of 2023 Employment Sectors

* The number of private sector jobs secured by MPA graduates is, in large part, a reflection of the program’s many concurrent degree graduates.

Featured MPA stories

Elevating the stories of diverse, unsung women.

Jamie Mittleman MPA 2022 launched her COVID-adapted dream job: a platform for women Olympians and Paralympians.

A long military heritage shapes a desire for peace

Clark Yuan MPA 2022 wants unique perspectives to have a seat at the table when critical decisions are being made.

From Santiago to Cambridge to Paris

For Ingrid Olea MPA 2020, a journey that started with a career change has led to remarkable achievements in education policymaking.

Applying to the MPA Program

Prerequisites.

There are specific academic and professional prerequisites required to apply to the MPA Program. You must have:

• A bachelor’s degree with a strong academic record 
• Three years of professional work experience by September 1 of the year you would enroll in the program
• Master of Business Administration
• Master of International Business
• Master of International Development
• Master of International Economics
• Master of Science in Engineering

How to Apply

A complete application to the MPA Program includes the following: 

• Online application
• Three letters of recommendation
• GRE or GMAT required
• Non-native English speakers who did not earn an undergraduate degree conducted in English must submit results of the TOEFL, IELTS, or Cambridge English exam
• Academic transcripts
• $100 application fee or waiver

Read more about how to apply . 

The application for the 2025-2026 academic year will be available in September 2024. There is one admission application deadline and one start date for each degree program per year. You may apply to only one master's degree program per admissions cycle. 

Tuition & Fees

The cost of attendance for the 2024-2025 academic year is outlined in  Funding Your Master ’ s Education  to help you plan financially for our master’s degree programs. Living expense costs are based on residence in Cambridge. The 2025-2026 academic year rates will be published in March 2025. HKS tuition and fees are subject to change without notice. 

At HKS, we consider financing your education to be a partnership and are here to help guide you. We encourage you to explore all opportunities for funding .

Learn more about the HKS community

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Best universities in the US for computer science degrees 2024

Explore the best universities in the us for computer science degrees using data from the times higher education world university rankings 2024.

Top universities in the US for computer science degrees 2024

Scroll down for the full list of best universities for computer science in the US

Not only are the world’s biggest tech companies­ such as Google, Facebook, Microsoft and Apple headquartered in the US, it’s also home to some of the best universities in the world for computer science degrees.

Many computing courses in the US focus on developing the practical skills and real-world experience that students need to enter the technology industry.

There are 124 US universities in the THE Computer Science Rankings 2024. These are spread across the country from California to New York and include a number of specialist technology colleges.

Below are the best universities in US for computer science degrees.

Best universities for computer science degrees in the world Best universities in Australia for computer science degrees Best universities in the UK for computer science degrees Best universities in Canada for computer science degrees Best universities in the US for law degrees

5. Princeton University

Princeton is one of the oldest universities in the US having been established in 1746. 

Teaching within the university's computer science department covers a wide-range of topics including programming languages, machine learning, robotics, computational biology and human-computer interaction among many others. 

At the undergraduate level, students have the freedom to design their own courses based on their interests. All undergraduate students are also expected to carry out at least one research project while supervised by a member of faculty. 

The department also offers postgraduate and PhD programmes. 

4. Harvard University

Dating back to 1636, Harvard University is the oldest university in the US. It’s a member of the Ivy League and regarded as one of the most prestigious institutions in the world.

Courses at Harvard are designed to be flexible. Computer science students can combine their studies with other fields, including mathematics, physics, economics, psychology, and linguistics. The introduction to computer science class at Harvard is among the university’s most popular courses.

The computer science concentration covers topics ranging from cryptography to sensor motes. Students also have the opportunity to meet influential thought leaders in the field and use the latest tools and technologies, such as grid computing.

A range of clubs and societies fall under the computer science and technology umbrella, including the Harvard Undergraduate Robotics Club and Harvard Video Game Development Club.

Harvard alumni include Bill Gates, founder of Microsoft; and Mark Zuckerberg, who famously invented Facebook while still a student at the university.

3. Carnegie Mellon University

Located in Pittsburgh, Pennsylvania, Carnegie Mellon University  is a private research university established in 1900 by Scottish industrialist Andrew Carnegie.

Carnegie Mellon’s school of computer science offers undergraduate and postgraduate programmes in areas including neural computation, computational biology, language technologies and machine learning. 

Undergraduates can undertake research projects in areas such as robotics and human-computer interaction. In the spring, students get to present the results of their work at the university-wide “Meeting of the Minds” celebration of undergraduate research.

There are also a wide range of master’s programmes, many of them being some of the first in the world to be offered. These include the master’s in automated science and master’s in computer vision.

The university conducts research in areas including brain science and driverless cars. It was also the first institution, via professor Scott Fahlman in 1982, to create a “smile” in an email.

What can you do with a computer science degree?

2. Massachusetts Institute of Technology (MIT)

The  Massachusetts Institute of Technology (MIT) is an independent, co-educational, private research university based in the city of Cambridge, Massachusetts.

Undergraduates are enrolled on a flexible curriculum, allowing them to focus on both theory and practical problems in computer science. Students can major in computer science or take computer science with another subject for a joint degree. 

The undergraduate computer science programme includes compulsory units in programming, software construction and AI, as well as electives in areas such as database systems, language engineering and micro-computing.

There is no master’s degree in computer science at the university, but there is a doctoral programme.

Technological advances accredited to MIT include radar and the invention of magnetic core memory, which enabled the development of digital computers.

MIT computer science graduates have gone on to found some of the most influential tech companies. These include Robert Metcalfe, co-inventor of Ethernet; and Drew Houston, co-founder of Dropbox.

1.  Stanford University

Stanford University ’s computer science department was established in 1965 and offers a range of bachelor’s, master’s and doctoral degrees.

Stanford’s undergraduate computer science programme covers areas such as programming, AI, biocomputation, computer engineering and graphics. All students take the same six courses in the first year. In the latter half of their degree they can choose one area to focus on.

Postgraduates are able to “shop around” for a two-week period and try as many different classes as they like, then decide which courses they want to continue with. Computer science students can take courses in areas including software theory, theoretical computer science and computer and network security. Given the institution’s focus on innovation, it is no surprise that Stanford graduates are famous for their entrepreneurship. Alumni include the founders of Google, Netflix, WhatsApp, Instagram and Palantir Technologies. In fact, companies founded by Stanford affiliates generate more than $2.7 trillion annual revenue, which would equate to the 10th largest economy in the world.

Click each institution to view its  World University Ranking 2024   profile

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The Ph.D. in Education is an interdisciplinary doctoral program that combines advances in the social sciences, sciences, arts, and humanities with deep expertise in educational research, policy, and practice to train students for careers as academics, researchers, policymakers, and leaders who will improve educational outcomes in the United States and around the world. Ph.D. candidates will collaborate with faculty from across Harvard graduate and professional schools and conduct groundbreaking research — forging new fields of inquiry that will transform education practice and policy.  Candidates for the Ph.D. in Education choose from among three concentrations: Culture, Institutions, and Society; Education Policy and Program Evaluation; or Human Development, Learning and Teaching.

All Ph.D.s are granted through the Harvard Kenneth C. Griffin Graduate School of Arts and Sciences.

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Career and Technical Education

Master of Science (MSEd)

Advance Your Career

The graduate program in Career and Technical Education prepares leaders who are concerned with education and training that enables youth and adults to pursue their careers. The program serves professionals from the Career and Technical Education curriculum disciplines, guidance and counseling, special education, academic content areas, adult education, training and development, as well as human resource development and management in the public and private sectors.

This online program has rolling admission . Applications must be fully complete and submitted (including all required materials) and all application fees paid prior to the deadline in order for applications to be considered and reviewed. For a list of all required materials for this program application, please see the “ Admissions ” tab.

Application Deadlines

July 1 is the deadline for Fall applications.

November 15 is the deadline for Spring applications.

March 15 is the deadline for Summer applications.

Program at a Glance

• Major/Department: Curriculum and Instruction
• Research Area: Career and Technical Education
• Degree Objective: Master of Science in Education (MSEd)
• Program Delivery: Online/Distance
• Does this program lead to licensure? * No , this is a non-licensure program
• Application Deadlines: July 1 (Fall), November 15 (Spring), March 15 (Summer)

Start Your Giant Leap with One Small Step

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Foundations

• EDCI 54100: Contemporary Issues in Career and Technical Education
• EDCI 55000: Career Education
• EDCI 64500: Organization and Administration of Career and Technical Education

Curriculum and Instruction

• EDCI 54300: Instruction in Career and Technical Education
• EDCI 54400: Career and Technical Education for Special Needs Learners
• EDCI 55200: Generalizable Skills Instruction in Career and Technical Education
• EDCI 64800: Curriculum in Career and Technical Education
• EDCI 65300: Seminar in Career and Technical Education
• EDCI 69500: Internship in (Career Education, Career Pathways, Generalizable Skills Instruction, Special Needs, Field Experience in Business and Industry, Shadowing and Mentoring)

Administration and Policy

• EDCI 54500: Planning in Career and Technical Education
• EDCI 55300: Leadership Development in Career and Technical Education
• EDCI 64400: Legal Issues in Career and Technical Education
• EDCI 64600: Supervision in Career and Technical Education
• EDCI 69500: Internship in Career and Technical Education Administration

Disciplined Inquiry

• EDCI 59000: Individual Research Problems
• EDCI 64700: Research in Career and Technical Education
• EDCI 64900: Assessment in Career and Technical Education
• EDCI 65000: Program Evaluation in Career and Technical Education
• EDCI 65300: Research Seminar
• EDCI 69800: Thesis Research
• EDCI 69900: Dissertation Research

Additional Courses Applicable to CTE Licenses

• EDCI 24200: Principles and Philosophy in Vocational and Technical Education
• EDCI 24400: Leadership for (CTE) Youth Organizations
• EDCI 35700: Occupational Internship
• EDCI 35800: Organization and Coordination of Vocational and Technical Education
• EDCI 45000: Techniques of Cooperative Vocational Education

Graduate Competencies

Graduate students in the Career and Technical Education program will satisfy the six (6) graduate competency areas and components within each area. The competencies can be satisfied by successfully completing one or more of the activities listed within each competency area (see Guidelines below). A variety of venues such as courses, internships, and school-based activities can be used to satisfy the competencies. Diversity, access, and equity issues and practices are expected to be infused and pervasive within all competency areas and activities that satisfy student competency attainment. Each student’s approved graduate competency plan will be reviewed at least once each semester. All successfully completed competencies will have documentation in the form of products. After the student has satisfied all competencies and required activities, the advisor and committee members will conduct a final review and evaluation of the student’s portfolio. Upon final approval, a statement of certification of successful completion of the graduate competencies requirements will be forwarded by the advisor to the College of Education Graduate Studies Office for inclusion in the student’s file.

Monitoring and Assessment Procedures

• Student receives and reviews the Graduate Competencies Guidelines.
• Student meets with advisor to discuss his/her plan to satisfy the graduate competencies.
• Student develops his/her graduate competency plan.
• The advisor and committee review and approve the plan.
• The student implements the plan and develops the portfolio.
• The student and advisor meet at least once each semester to review the plan, monitor progress, and evaluate formatively the portfolio.
• All requirements in the graduate competency plan will be completed and satisfied no later than the middle of the last semester before expected graduation.
• The advisor and committee members review and evaluate summatively the student’s portfolio.
• The student delivers a presentation of his/her portfolio during or prior to the final oral examination.
• A statement of certification is forwarded to the College of Education Graduate Studies Office for inclusion in the student’s file when all of the graduate competencies have been satisfied.

Competencies

• Write a literature review
• Produce a proposal
• Literature review
• Conduct a research project
• Plan and implement a program
• Develop program or instructional materials
• Write a journal manuscript
• Prepare a thesis
• Research project
• Program improvement project report
• Instructional materials
• Journal manuscript
• Plan and deliver a workshop
• Present at a professional conference
• Present at a seminar
• Prepare a conference paper
• Write a project report
• Prepare and/ or publish a journal article
• Workshop presentation report
• Conference presentation report
• Seminar presentation report
• Conference paper
• Project report
• Journal manuscript/article
• Prepare a critical and reflective paper
• Write a critical analysis paper (critique)
• Develop a professional philosophy statement
• Critical analysis paper
• Philosophy statement
• Participate in workshops
• Attend professional conferences
• Maintain memberships in professional organizations
• Prepare a professional portfolio
• Workshop participation report
• Professional conference report
• Organization membership(s) log
• Prepare a report and critique of a conference or workshop
• Present at professional meetings
• Participate actively in professional associations
• Mentor colleagues
• Plan and deliver inservice workshops
• Provide technical assistance to colleagues
• Conference or workshop critique
• Professional meeting presentation report
• Professional association participation journal
• Mentoring log
• Inservice workshop report
• Technical assistance log

The competencies, activities, and products will use several venues that include courses, internships, independent studies, thesis research, seminars, comprehensive written examinations, oral examinations, school-based activities, professional organization activities, community activities, and others identified by the student, advisor, and/or committee members. The student will select one or more activities to satisfy the components of each competency area with the guidance of his/her advisor and committee members.

In addition to a submitted application (and any applicable application fees paid), the following materials are required for admission consideration, and all completed materials must be submitted by the application deadline in order for an application to be considered complete and forwarded on to faculty and the Purdue Graduate School for review.

Application Requirements

Here are the materials required for this application

• Transcripts (from all universities attended)
• Minimum undergraduate GPA of 3.0 on a 4.0 scale
• 3 Recommendations
• Academic Statement of Purpose
• Personal History Statement
• International Applicants must meet English Proficiency Requirements set by the Purdue Graduate School

We encourage prospective students to submit an application early, even if not all required materials are uploaded. Applications are not forwarded on for faculty review until all required materials are uploaded.

How to Apply

When submitting your application for this program, please select the following options:

• Select a Campus: Purdue West Lafayette (PWL)
• Select your proposed graduate major: Curriculum and Instruction
• Please select an Area of Interest: Career and Technical Education
• Please select a Degree Objective: Master of Science in Education (MSEd)
• Primary Course Delivery: Distance

This program does not lead to licensure in the state of Indiana or elsewhere. Contact the College of Education Office of Teacher Education and Licensure (OTEL) at [email protected] before continuing with program application if you have questions regarding licensure or contact your state Department of Education about how this program may translate to licensure in your state of residence.

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Questions contact the office of graduate studies at [email protected] ..