short courses in mathematics education

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Stanford Online

How to learn math for teachers.

Stanford Graduate School of Education

Explore the new research ideas on mathematics learning and student mindsets that can transform students' experiences with math. Whether you are a teacher preparing to implement the new State Standards, a parent wanting to give your children the best math start in life, an administrator wanting to know ways to encourage math teachers or another helper of math learners, this course will help you. The sessions are all interactive and include various thinking tasks to promote active engagement - such as reflecting on videos, designing lessons, and discussing ideas with peers.

You Will Learn

• New pedagogical strategies
• An understanding of high quality math tasks
• Questions to promote understanding
• Messages to give students
• Inspirational messages from educational thought-leaders

Who Should Enroll?

Teachers of math (K-16) or other helpers of students, such as parents. An accompanying course for students is also available here .

Course Structure

The course comprises 8 sessions, each with videos and activities that require approximately 1.5 to 3 hours to complete.

The course will be self-paced, you can start and end the course at any time.

• $149 per person
• Group enrollment is available at $149/person by purchase order, company check, credit card, or wire transfer by emailing [email protected] .
• A discounted rate is available for groups of 150 or more, at $119 per person.  Please contact [email protected] for more information on groups of 150 people or more

Continuing Education Units

By completing this course, you’ll earn 3  Continuing Education Units (CEUs). CEUs cannot be applied toward any Stanford degree. CEU transferability is subject to the receiving institution’s policies.

Record of Completion

When you complete the course, you’ll receive an email with a link to download your Record of Completion. This email will be sent to the address you provide in your mystanfordconnection within 1 week of course completion.

Extending Access

If you are interested in extending access to your course for another year, please re-enroll and then send your confirmation email to [email protected] .

Please contact [email protected]

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Welcome to the gateway to MIT knowledge and expertise for professionals around the globe

MIT Professional Education provides continuing education courses and lifelong learning opportunities for science, engineering, and technology professionals at all levels, from around the world. Worthy of note is that MIT professors and lecturers lead and teach all MIT Professional Education offerings. Some of our programs have a long history, others are relatively new.

Our Digital Plus programs go beyond online, blending cutting-edge content delivered using the best of online technology and traditional classroom instruction, to enable effective learning outcomes in a flexible, collaborative learning environment.

All MIT Professional Education courses offer certificates, and Continuing Education Units (CEUs), some offer MIT credit in addition.

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The MIT Professional Education mission is to provide a gateway to renowned MIT research, knowledge and expertise for working professionals engaged in science and technology worldwide, through advanced education programs designed for them.

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A long history at MIT

The MIT Professional Education office, established under MIT’s largest school, the School of Engineering in 2002, builds on decades of MIT’s outreach to science and engineering professionals. MIT first began offering summer study in 1898, primarily as an extension of regular courses and a preparation for incoming students. In 1949, MIT established a Summer Session Office to expand special summer offerings specifically for industries such as textiles, spectroscopy, and petroleum engineering. Over the years, MIT’s summer focus has turned toward professional education. Today’s Short Programs draws more than 1500 students a year to short courses spanning a wide array of topics from innovation and entrepreneurship to biotechnology, information technologies, data modeling and systems engineering.

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Teaching Mathematics Online Resources on class structures, homework, technology, netiquette, and more

In the current public health crisis, we are all working quickly to move our classes out of the classroom. Fortunately, even if online teaching and learning are new to you, there is a lot of experience to draw on. On this page we have compiled the best resources we can find for practical strategies that will help you plan and run your course, including web-based resources for a deeper dive into assessment, learning activities, and other aspects of online instruction. 

The Association of College and University Educators offers a free Online Teaching Toolkit that offers resources and recommendations that you can put to use right away to organize and manage your course, engage students, create effective lectures, and more.

TPSE's Top Ten List: Recommended Practices for Every Online Instructor

Set realistic expectations for yourself and your students

In the current situation you don’t need to become an expert in online course delivery. Your course won’t be perfect, and it won’t be the same as it was in the classroom, and that is ok. Give yourself permission to just do the best you can do. Many of your students don’t have much experience learning online, and they are adjusting too. Set realistic expectations for yourself, your course, and your students.

• Keep flexibility and empathy in the forefront. Some students may not have ideal learning or internet environments — they have family responsibilities, lack privacy or quiet space, have unreliable internet access, be in other time zones, be online at a library or other public space, or have any number of distractions or obstacles.
• To the extent that your institution allows it, be particularly flexible with deadlines , independent study, and extended incompletes. Focus on what your students need in order to learn, rather than on structure or deadlines. We are in an unusual situation and this flexibility will make it easier on all of you.
• Let your students know that many internet providers are offering free internet service for a fixed period . That does not mean it will be easy for everyone, but it should help many students. Some students will still need to be online in a library or other public space.
• Unless your institution requires something different, it is ok to build the course week by week and adjust as you go . You don’t need to have it all figured out in advance.
• Some publishers and other organizations are providing access to resources during this current crisis. Even if these are not your ideal choice for assessment, you may be able to make them work for you in order to complete this semester.
• While we all strive to offer the best learning experiences we can, in the current quick transition, consider the mantra, " ' Better' is the enemy of 'good enough' ."

These resources provide solid guidance to help you get started online:

• Stanford University Teach Anywhere
• The Chronicle of Higher Education: Move Online Now
• Get Up and Running with Temporary Remote Teaching: A Plan for Instructors who Lecture
• Get Up and Running with Temporary Remote Teaching: A Plan for Instructors who Use Interactions in Class
• Planning to Teach Online: Four Essential teaching Functions
• Seven Practices for the Online Classroom
• A mathematician describing his online multivariable calculus course
• Hybrid courses use a mix of online and face-to-face practices, as you can see in A Scalable Hybrid Introductory ODE Course

Design your course

There are many tools available : Zoom, Skype, Dropbox, Blackboard, Canvas, Slack, VoiceThread, email, online chats, video chats, MS teams, Google docs, and many others. Investigate if there are particular platforms or tools that your institution already uses. Even if you are not familiar with them, your students might be and your institution is more likely to offer support for those platforms. Coordinating with your colleagues to use similar tools will allow you to support one another.

• Most institutions have an office that supports online learning. Check their website to see what training, technology, consulting, or other services they have to offer.
• Does your institution use a Learning Management System (LMS) ? These are structured learning environments, like Blackboard, Moodle, or Canvas, and are specifically designed for online learning. Your students are likely to be familiar with the LMS from other courses, and you might have access to campus resources for support.
• You may be required to use the LMS to ensure FERPA and accessibility requirements are met. Your campus may have resources to guide you with this. If needed, there are services online that will caption or transcribe videos. YouTube and Zoom have automatic, if imperfect, captioning services.
• Prioritize the learning goals for your course. What are the most important things for your students to come away with? As with any teaching, focus on what you want students to learn rather than what you need to teach .
• Are other faculty teaching sections of the same course? It might help to work together.
• Synchronous teaching builds on the classroom norms established in face-to-face instruction in the first part of the semester, and offers more immediate personal engagement. It may reduce miscommunication and isolation.
• Asynchronous teaching allows more flexibility with scheduling, which may be important for students and faculty with family, work, or other obligations, or with challenges accessing needed technology. It can increase cognitive engagement as students explore the course material at their own pace.
• If you use video, use small chunks , no more than about 5 minutes at a time. This allows students to stay focused. Also think about the easy parts of production quality — adjust the lighting to be clear, don’t move around too much, and avoid other distractions that are within your control (until your cat runs across your keyboard or your toddler comes into the room). It might help to use the microphone on your earbuds rather than your computer.
• Test all technology . Do microphones, electronic whiteboards, video cameras work? Can the online platform handle the number of students who will login? But also remember that technical snafus happen. Communicate with your students with humor and you can all figure it out as you go along.

Develop learning activities

Your online course doesn't need to replicate everything in your face-to-face course . Instead of starting with your previous course design and trying to adapt it all to be online, start with your goals for the course and the tools you have available, and figure out what's feasible.

• Some group and interactive activities can be adapted to an online setting. For group work, develop ways that all students are held accountable to their group. Assigning group grades is one option (this also reduces your grading load). Some instructors require students to make individual submissions of assignments, and then assign everyone in the group the lowest grade; this is great motivation for them to make sure their group-mates understand what they’re doing.
• To keep students engaged, have frequent, small assignments with clearly-communicated due dates , and create learning activities that require students to interact at specified intervals. If you are requiring them to engage in collaboration or discussion, communicate clearly about how often you expect them to be online. I usually tell my students that they should be online 2-3 hours per week, on a minimum of 3 separate days.
• Ask open-ended questions . Discussion happens when there is struggle or debate, which doesn’t happen easily with yes-no questions. Ask students to interact about how or why , not what or whether .
• Write out or type the solution to a problem (or problems) using words and sentences and a minimum of mathematical notation. This is challenging! But it also requires a different level of understanding of the mathematics. Communicating about mathematics deepens understanding.
• Students solve a problem and share it online with a partner, a group, or the rest of the class. They provide feedback on a specific number of others’ solutions (for example, if they are in a group of 6, I might require them to comment on 2 other solutions) within a few days. Then they submit a written solution to the problem, using someone else’s strategy. This requires them to communicate with their classmates enough to understand someone else’s reasoning.
• Give them personalized problems to solve. For example, in one assignment about compound interest with regular savings contributions, each student submitted calculations for their personal retirement savings plan. They identified how many years they had until retirement, how much money they wanted to have access to each month, and then calculated their required monthly contributions. This way, everyone could help one another because they were working on the same task, but each had to do independent calculations.
• Encourage your students to compose their work before posting it online , using Word, LaTeX, by hand, or whatever works in your context. Composing responses directly in a chat box leads to less effective communication.
• Students can solve problems on paper, scan or take a picture of the solution, and upload it somewhere. Let them know that you can’t grade it if the image is unclear. Avoid using email for submitting assignments . It gets messy quickly. But provide a clear alternative.
• Some universities offer online tutoring , writing, or other forms of support. Check what is available to your students. You can also refer students to websites like Virtual Nerd , Math is Fun , Khan Academy , or Math Forum . If you hold virtual office hours or offer extra help, try to work with several students at a time so they can support one another and you can use your time effectively.
• There are applets available online for students to create and manipulate graphs. One of my favorites is Desmos , but there are many others.

Some ideas for online learning activities:

• Tips for students to participate in online group work and projects
• YouTube playlist: Ideas for new online faculty

Communicate clearly

Be transparent about why you are making decisions and setting priorities. You can also be open about how you’re all in this together. This will reduce anxiety for everyone. Communicate clearly and often about expectations and deadlines.

• Communicate through multiple modalities, including email, announcements, texts, small peer-support groups, and other means.
• Every week, provide a list of deliverables : read this, start this, submit that. What should they be working on, where , and with whom ? Where and how should their work be submitted? Establish specific deadlines for all work (for example, by Sunday at 11:59 pm) and follow a consistent weekly routine.
• State expectations for participation (how, when, how much). Remind students that even if they are in the course platform frequently, if they don’t speak up and participate , no one knows they’re there. (The same applies to instructors — communicate often).
• Establish netiquette rules up front . Be clear about expectations for respectful and professional communication. “Tone” can easily be misunderstood online.

Rethink assessment

Authentic assessment refers to tools for formative (feedback on understanding) and summative (evaluating outcomes) assessment that reveal students' understanding, reasoning, and ability to apply key concepts in authentic mathematical contexts. You can learn more about authentic assessment and how teachers us it to monitor and improve students' progress at the Mathematics Assessment Project .

• Incorporate more formative assessment to support student learning and develop tools for authentic assessment.
• Consider alternatives such as comprehensive projects that synthesize concepts, small frequent quizzes, group assignments, or opportunities to critique the reasoning represented in sample student work.
• Some textbook publishers have online test banks. Google forms has a feature for creating tests and quizzes in an easy-to-use form, and for multiple-choice and fill-in responses, the quizzes can self-grade. In addition, some companies and organizations are providing access to resources during this current crisis. Even if these are not your ideal choice for assessment, you may be able to make them work for you in order to complete this semester.
• Beware of privacy concerns with video-monitoring software and other proctoring solutions. Recognize that determined students can overcome any obstacles to cheating, whether in class or online. Consider assessments that are open book and open notes, and structure exams to make proctoring less of a concern.
• Talk openly with your students about what they need to know in order to be ready for next semester’s courses, to help them focus on what is important for them to learn.
• Learn more about basic concepts in Assessing Teaching and Learning , and expand your planning and implementation of sound assessment practices. 

More about online assessment:

Assessing student learning

Authentic Assessments

Self-grading quizzes in Google Forms

Also visit our Teaching Resources page for more ideas and tools for teaching in any environment.

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Mathematics Degree  Degrees Also known as an undergraduate or bachelors degree. Internationally respected, universally understood. An essential requirement for many high-level jobs. Gain a thorough understanding of your subject – and the tools to investigate, think critically, form reasoned arguments, solve problems and communicate effectively in new contexts. Progress to higher level study, such as a postgraduate diploma or masters degree.

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Top 10 Certificate Courses in Mathematics: Free, Online, Top Institutes & Professional Certificates 2024

Collegedunia Team

Content Curator

Certificate Courses in Mathematics are short-term, specialized training programs designed to provide students with a comprehensive understanding of mathematics and its related concepts. Certificate Courses in Mathematics cover a range of topics related to mathematics, including calculus, linear algebra, differential equations, probability and statistics, number theory, geometry, discrete mathematics, etc.

Certificate  Courses in Mathematics  are intended for students who want to start or enhance their careers in mathematics, or for individuals who want to gain a deeper understanding of mathematical concepts. The top 10 Certificate Courses in Mathematics are listed below.

Top 10 Certificate Courses in Mathematics

Certificate Courses in Mathematics are provided by many online education websites and some institutes in India. The top 10 food technology certificate courses are - 

1. Out of The Box Thinking Through Mathematics

The course emphasizes out-of-the-box thinking in the context of mathematics, encouraging students of all levels to rediscover known and unknown mathematical facts using a broader perception. 

The course is accessible to everyone, from school children to professionals and researchers, and is structured into four graded independent levels, with multiple approaches to problem-solving that debunk the myth that problem-solving is for the elite. The course introduces new problem-solving techniques in an easy-to-understand manner, equipping learners with the confidence and ease to tackle real-life projects.

• Platform :   IIT Madras Pravartak
• Duration:  3 months
• Fees:   Free

2. Certificate Course in Mathematics of Investment

It is a specialized program that focuses on the mathematical principles involved in investment and finance. The course typically covers topics such as the time value of money, compound interest, annuities, bonds, stocks, mutual funds, and other investment vehicles. 

The program is designed to provide students with a strong foundation in the mathematical concepts and formulas that are essential for understanding the world of finance and investments. The course is suitable for students who are interested in pursuing a career in finance, accounting, investment management, or financial planning.

• Platform :   St. Aloysius Evening College

3. Complete Mathematics Masterclass: College & University Level

This course in applied mathematics covers college and university-level topics, including Calculus, Algebra, Statistics, and Stochastics. The course is relevant to various fields such as Programming & IT, Engineering, Science, Business & Economics, and more. 

The course provides 24 hours of instruction, covering topics like Limits, Derivatives, Integrals, Vectors, Probability distributions, Sequences, Series, Differential equations, Matrix algebra, and more. The course is carefully prepared and includes examples, exercises, and solutions for all topics. The college-level section takes 10 hours, while the university-level section takes 14 hours.

• Platform :   Udemy
• Duration :  1 hour 26 minutes
• Fees:   INR 649

4. Mathematical Foundations of Machine Learning

This course provides a comprehensive understanding of the mathematical foundations of data science and machine learning, including linear algebra and calculus. The course covers topics such as tensor operations, matrix properties, eigenvectors and eigenvalues, limits, derivatives, differentiation, and integral calculus. 

Each section includes hands-on assignments, Python code demos, and practical exercises to help learners develop their math skills. Additionally, the course offers free access to future bonus content on probability, statistics, data structures, algorithms, and optimization. By understanding the math behind machine learning algorithms and data science models, students can increase the impact they can make in their careers, from identifying modeling issues to inventing new and more powerful solutions.

• Platform:   Udemy
• Duration:   16 hours 25 minutes

5. Mental Math - Best Techniques To Speed Up Your Mathematics

This course is designed to teach techniques for solving quantitative problems without the use of calculators. The course covers various topics such as addition, subtraction, multiplication, division, squaring, and finding cubes and roots of numbers, among others. 

The course consists of 65+ lectures, totaling 8+ hours of on-demand videos that are divided into 22 sections. Students are provided with practice questions and quizzes at the end of each topic to reinforce their learning. The techniques taught in the course can help students save time during competitive exams, allowing them to attempt more questions.

• Duration :  8 hours 49 minutes
• Fees :  INR 649

6. Algebra: Elementary to Advanced Specialization

This course is designed for students who want to strengthen their understanding of algebra and geometry as a foundation for future courses requiring precalculus and calculus. It emphasizes quantitative skills and reasoning, which help students to think logically, reason with data, and make informed decisions. Instead of one large project, the course provides many smaller applied and algebra problems throughout the modules. The course also provides practice problems with worked solutions at varying levels of difficulty to challenge students and help them apply what they have learned.

• Platform :   Coursera - Johns Hopkins University
• Duration :  4 months
• Fees :  Free

7. Introduction to Mathematical Thinking

This course aims to teach students how to think like mathematicians, which is different from the way mathematics is typically presented in schools. Rather than focusing on procedures to solve standard problems, this course helps students develop the ability to solve real-world problems that arise in science or mathematics. Mathematical thinking requires thinking outside the box, a valuable ability in today's world. This course helps to develop that way of thinking, which is a crucial skill in many fields.

• Platform :   Coursera - Stanford University
• Duration :  39 hours

8. Introduction to Calculus

The course focuses on the essential concepts and historical motivation behind calculus, with an emphasis on its applications in science, engineering, and commerce. The course aims to strike a balance between theory and application, providing students with a solid grasp of foundational mathematics. 

The course starts with a review of precalculus and elementary functions, followed by the methodology of tangents and limits, and the definition of a derivative. The fourth week covers differential calculus, while the fifth week covers integral calculus, including methods and applications. The course equips students with a thorough understanding of calculus, which is crucial for many fields of study and careers.

• Platform :   Coursera - The University of Sydney
• Duration :  59 hours

9. Mathematics for Engineers Specialization

This program is designed to provide engineering students with the opportunity to self-study engineering mathematics. The specialization offers instruction in a range of topics, including matrix algebra, differential equations, vector calculus, numerical methods, and MATLAB programming. By completing the program, students will have a thorough understanding of how to apply mathematics to engineering problems, equipping them to pursue a career in engineering with confidence.

• Platform :   Coursera - The Hong Kong University of Science and Technology
• Duration :  6 months

10. Maths Essentials

This course is designed for students who are planning to pursue an MBA program but are uncertain about their basic math skills. The course covers fundamental business math skills required for success in MBA study and the field of business, particularly in quantitative subjects such as Accounting, Economics, and Finance. 

Students will learn how to manipulate and evaluate various formulae, apply calculus to solve optimization problems, and use mathematical series and sequences to solve finance-related problems. The course assumes no prior knowledge of business math, and concepts are explained clearly with regular activities for practice and improvement. Upon completion, students will have the confidence and skills to apply greater analytical skills to their decision-making, both in their MBA studies and in the workplace.

• Platform:   edX - Imperial College London
• Duration :  6 weeks

Certificate Courses in Mathematics: FAQs

Ques. What are the best Certificate Courses in Mathematics?

Ans.  Some of the best Certificate Courses in Mathematics are - 

• Out of The Box Thinking Through Mathematics - IIT Madras.
• Complete Mathematics Masterclass: College & University Level - Udemy.
• Algebra: Elementary to Advanced Specialization - Coursera.
• Maths Essentials - edX.
• Introduction to Calculus - Coursera. 

Qns. What are the prerequisites for Certificate Courses in Mathematics?

Ans.  Prerequisites for Certificate Courses in Mathematics can vary depending on the program, but they typically require a minimum level of education in mathematics or a related field. Some programs may also require proficiency in English and basic computer skills.

Qns. What are the benefits of taking Certificate Courses in Mathematics?

Ans.  Certificate Courses in Mathematics provide students with a solid foundation in mathematical concepts and techniques, which can lead to improved job prospects and career advancement opportunities. They also provide a strong foundation for further study in mathematics or related fields.

Ques. How long do Certificate Courses in Mathematics take to complete?

Ans.  The length of Certificate Courses in Mathematics can vary depending on the program, but they typically range from a few weeks to several months. Some programs may be offered online or part-time to accommodate working professionals.

Ques. Who should take Certificate Courses in Mathematics?

Ans.  Certificate Courses in Mathematics are ideal for students who are interested in pursuing a career in a math-related field, such as finance, computer science or engineering. They may also be of interest to individuals who want to improve their mathematical skills for personal or professional development.

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