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Announcing fast.ai diversity scholarships

At fast.ai, we want to do our part to increase diversity in deep learning and to lower the unnecessary barriers to entry for everyone. Therefore, we are providing diversity scholarships for our updated in-person Practical Deep Learning for Coders course presented in conjunction with the University of San Francisco Data Institute, to be offered on Monday evenings in in downtown San Francisco and beginning on Oct 30. Wondering if you’re qualified? The only requirements are:

  • At least 1 year of coding experience
  • At least 8 hours a week to commit to the course (includes time for homework)
  • Curiosity and a willingness to work hard
  • Identify as a woman, person of Color, LGBTQ person, person with a disability, and/or veteran
  • Be available to attend in-person 6:30-9pm, Monday evenings, in downtown San Francisco (SOMA)

Understanding the serious issues caused by homogenity issue in AI are important for us all, so read about the current state of the AI diversity crisis here.

The fast.ai approach

Fast.ai students have been accepted to the elite Google Brain residency, launched companies, won hackathons, invented a new fraud detection algorithm, had work featured on the HBO TV show Silicon Valley, and more, all from taking a course that has only one year of coding experience as the pre-requisite.

Last year we attempted an experiment: to see if we could teach deep learning to coders, with no math pre-requisites beyond high school math, and get them to state-of-the-art results in just 7 weeks. This was very different from other deep learning materials, many of which assume a graduate level math background, focus on theory, only work on toy problems, and don’t even include the practical tips. We didn’t even know if what we were attempting was possible, but the fast.ai course was a huge success!

The traditional approach to teaching math or deep learning requires that all the underlying components and theory be taught before learners can start creating and using models on their own. This approach to teaching is similar to not allowing children to play baseball until they have memorized all the formal rules and are able to commit to a full 9 innings with a full team, or to not allowing children to sing until they have extensive practice transcribing sheet music by hand in different keys. We want to get people “playing ball” (that is, applying deep learning to the problems they care about and getting great results) as quickly as possible, and we drill into the details later, as time goes on.

How to Apply

Women, people of Color, LGBTQ people, people with disabilities, and veterans in the Bay Area, if you have at least one year of coding experience and can commit 8 hours a week to working on the course, we encourage you to apply for a diversity scholarship. The number of scholarships we are able to offer depends on how much funding we receive. To apply, email datainstitute@usfca.edu:

  • title your email “Diversity Fellowship Application”
  • include your resume
  • 1 paragraph describing one or more problems you’d like to apply deep learning to
  • confirm that you are available to attend the course on Monday evenings in SOMA (for 7 weeks, beginning Oct 30), and that you can commit 8 hours a week to working on the course
  • which under-indexed group(s) you are a part of (gender, race, sexual identity, veteran)

The deadline to apply is Sept 15, 2017.

To those outside the Bay Area

We will again have a remote/international fellows program, which is separate from our diversity scholarships. Details on how to apply will be announced in a separate blog post in the next few weeks, so stay tuned.

Thoughts on OpenAI, reinforcement learning, and killer robots

“So how is fast.ai different from OpenAI?” I’ve been asked this question numerous times, and on the surface, there are several similarities: both are non-profits, both value openness, and both have been characterized as democratizing AI. One significant difference is that fast.ai has not been funded with $1 billion from Elon Musk to create an elite team of researchers with PhDs from the most impressive schools who publish in the most elite journals. OpenAI, however, has.

It turns out we’re different in pretty much every other way as well: in our goals, values, motivations, and target audiences.

Artificial General Intelligence

There is a lot of confusion about the term AI. To some people, AI means building a super-intelligent computer that is similar to a human brain (this is often referred to as Artificial General Intelligence or AGI). These people are often interested in philosophical questions such as What does it mean to be human? or What is the nature of intelligence? They may have fears such as Could super-intelligent machines destroy the human race? A New Yorker article describes OpenAI’s goal as making sure that AI doesn’t wipe out humanity, and it’s webpage says that the mission is to create artificial general intelligence. Elon Musk has expressed fear about DeepMind (acquired by Google for $500 million) and the development of evil AI, saying “If the A.I. that they develop goes awry, we risk having an immortal and superpowerful dictator forever. Murdering all competing A.I. researchers as its first move strikes me as a bit of a character flaw.”

Cracking AGI is a very long-term goal. The most relevant field of research is considered by many to be reinforcement learning: the study of teaching computers how to beat Atari. Formally, reinforcement learning is the study of problems that require sequences of actions that result in a reward/loss, and not knowing how much each action contributes to the outcome. Hundreds of the world’s brightest minds, with the most elite credentials, are working on this Atari problem. Their research has applications to robotics, although a lot of it is fairly theoretical. OpenAI is largely motivated by publishing in top academic journals in the field, and you would need to have a similarly elite background to understand their papers.

Practical Artificial Intelligence

To other people, AI refers to that algorithms that display some level of intelligence in doing application-focused tasks, such as algorithms that can:

Many rapid advances are happening right now in the area of these algorithms that do their application-focused tasks very, very well. These algorithms would not be mistaken for humans (outside their excellent performance on the application they were designed for). This may sound less exciting than OMG super-intelligent human-like machines, but these algorithms are having a much bigger impact on the world today: they are more accurate than human radiologists at diagnosing cancer, more accurate at understanding Mandarin and English speech than humans, at work in self-driving cars, improving treatment for pediatric ICU patients, working to end illegal logging in endangered rainforests, granting the visually impaired more independence, reducing farmer suicides in India, and more (note: although they are in the same family, a specific algorithm was trained and tuned for each of these applications).

The capabilities listed above are transformative: improvements to medicine will help fill a global shortage of doctors, improve outcomes even in countries that have enough doctors, and save millions of lives. Self-driving cars are safer and will drastically reduce traffic fatalities, congestion, and pollution.

However, these application-focused algorithms are also already having some scary negative impacts as well: an increase in unemployment as more jobs are automated, widening wealth inequality (as highly profitable companies are created using these algorithms and employing relatively few workers), encoding existing biases (for example, Google Photos labeling Black people as “gorillas” as part of their automatic photo labeling), and with the potential of bots and convincing fake videos to further impact politics.

At fast.ai, we are not working on AGI, but instead focused on how to make it possible for more people from a wide variety of backgrounds to create and use neural net algorithms. We have students working to stop illegal deforestation, create more resources for the Pakistani language Urdu, help farmers in India prove how much land they own so they qualify for crop insurance, working on wearable devices to monitor Parkinson’s disease, and more. These are issues that Jeremy and I knew very little (if anything) about, and illustrate the importance of making this technology as accessible as possible. People with different backgrounds, in different locations, with different passions, are going to be aware of whole new sets of problems that they want to solve.

It is hard for me to empathize with Musk’s fixation on evil super-intelligent AGI killer robots in a very distant future. I support research funding at all levels, and have nothing against mostly theoretical research, but is it really the best use of resources to throw $1 billion at reinforcement learning without any similar investments into addressing mass unemployment and wealth inequality (both of which are well-documented to cause political instability), how existing gender and racial biases are being encoded in our algorithms, and on how to best get this technology into the hands of people working on high impact areas like medicine and agriculture around the world?

Cutting Edge Deep Learning for Coders: Launching Deep Learning Part 2

Special note: we’re teaching a fully updated part 1, in person, for seven weeks from Oct 30, 2017, at the USF Data Institute. See the course page for details and application form.

When we launched course.fast.ai we said that we wanted to provide a good education in deep learning. Part 1 of the course has now been viewed by tens of thousands of students, introducing them to nearly all of today’s best practices in deep learning, and providing many hours of hands-on practical coding exercises. We have collected some stories from graduates of part 1 on our testimonials page.

Today, we are launching Part 2: Cutting Edge Deep Learning for Coders. These 15 hours of lessons take you from part 1’s best practices, all the way to cutting edge research. You’ll learn how to:

  • Read and implement the latest research papers (even if you don’t have a math background)
  • Build a state of the art neural translation system
  • Create generative models for art, super resolution, segmentation, and more (including generative adversarial networks)
  • Apply deep learning to structured data and time series (such as for logistics, marketing, predictive maintenance, and fraud detection)
  • …and much more.

We believe that we have created a unique path to deep learning expertise, and many of our students have shown what’s possible, such as:

  • Sara Hooker, who only started coding 2 years ago, and is now part of the elite Google Brain Residency
  • Tim Anglade, who used Tensorflow to create the Not Hot Dog app for HBO’s Silicon Valley, leading Google’s CEO to tweet “our work here is done
  • Gleb Esman, who created a new fraud product for Splunk using the tools he learnt in the course, and was featured on Splunk’s blog
  • Jacques Mattheij, who built a robotic system to sort two tons of lego
  • Karthik Kannan, founder of letsenvision.com, who told us “Today I’ve picked up steam enough to confidently work on my own CV startup and the seed for it was sowed by fast.ai with Pt1. and Pt.2”
  • Matthew Kleinsmith and Brendon Fortuner, who in 24 hours built a system to add filters to the background and foreground of videos, giving them victory in the 2017 Deep Learning Hackathon.
How the Not Hot Dog author was portrayed on Silicon Valley
How the Not Hot Dog author was portrayed on Silicon Valley

The prerequisites are that you’ve either completed part 1 of the course, or that you are already a confident deep learning practictioner who is comfortable implementing and using:

  • CNNs (including resnets)
  • RNNs (including LSTM and GRU)
  • SGD/Adam/etc
  • Batch normalization
  • Data augmentation
  • Keras and numpy

What we cover

The course covers a lot of territory - here’s a brief summary of what you’ll learn in each lesson:

Lesson 8: Artistic Style

We begin with a discussion of a big change compared to part 1: from Theano to Tensorflow. You’ll learn about some of the exciting new developments in Tensorflow that have led us to the decision to make this change. We’ll also talk about a major project we highly recommend: build your own deep learning box!

We’ll also talk about how to approach one of the biggest challenges in this part of the course: reading acadmic papers. Don’t worry, it’s not as terrifying as it first sounds—especially once you know some of our little tricks.

Then, we start our deep dive into creative and generative applications, with artistic style transfer. You’ll be able to create beautiful and interesting images even if your artistics skills are as limited as Jeremy’s… :)

Style transfer example by fast.ai student Brad Kenstler
Style transfer example by fast.ai student Brad Kenstler

Lesson 9: Generative Models

Super-resolution example (bottom)
Super-resolution example (bottom)

We’ll learn about the extraordinarily powerful and widely useful technique of generative models. These are models that don’t just spit out a classification, but create a whole new image, sound, etc. They can be used, for example, with images, to:

  • Improve photos (colorization, noise removal, increase resolution, etc)
  • Create art
  • Find and segment (localize) objects
  • and much more…

We’ll try using this approach for super resolution (i.e. increasing the resolution of an image), and then you’ll get to try building your own system for rapidly adding the style of any artist to your photos. Have a look at the image on the right - the top very low resolution image has been input to the algorithm (see for instance the very pixelated fingers), and the bottom image has been created automatically from that!

Lesson 10: Multi-modal & GANs

A surprising result in deep learning is that models created from totally different types of data, such as text and images, can learn to share a consistent feature space. This means that we can create multi-modal models; that is, models which can combine multiple types of data. We will show how to combine text and images in a single model using a technique called DeVISE, and will use it to create a variety of search algorithms:

  • Text to image (which will also handle multi-word text descriptions)
  • Image to text (including handling types of image we didn’t train with)
  • And even image to image!

Doing this will require training a model using the whole imagenet competition dataset, which is a bigger dataset than we’ve used before. So we’re going to look at some techniques that make this faster and easier than you might expect.

We’re going to close our studies into generative models by looking at generative adversarial networks (GANs), a tool which has been rapidly gaining in popularity in recent months, and which may have the potential to create entirely new application areas for deep learning. We will be using them to create entirely new images from scratch.

Lesson 11: Memory Networks

We’ve covered a lot of different architectures, training algorithms, and all kinds of other CNN tricks during this course—so you might be wondering: what should I be using, when? The good news is that other folks have wondered that too, and have provided some great analyses of the pros and cons of various techniques in practice. We’ll be taking a look at a few highlights of these papers today.

Then we’re going to learn to GPU accelerate algorithms by taking advantage of Pytorch, which provides an interface that’s so similar to numpy that often you can move your algorithm onto the GPU in just an hour or two. In particular, we’re going to try to create the first (that we know of) GPU implementation of mean-shift clustering, a really useful algorithm that deserves to be more widely known.

To close out the lesson we will implement the heavily publicized “Memory Networks” algorithm, and will answer the question: does it live up to the hype?

Creating clusters
Creating clusters

Lesson 12: Attentional Models

It turns out that Memory Networks provide much of the key foundations we need to understand something which have become one of the most important advances in the last year or two: Attentional Models. These models allow us to build systems that focus on the most important part of the input for the current task, and are critical, for instance, in creating translation systems (which we’ll cover in the next lesson).

Lesson 13: Neural Translation

One application of deep learning that has progressed perhaps more than any other in the last couple of years is Neural Machine Translation. In late 2016 it was implemented by Google in what the New York Times called The Great A.I. Awakening. There’s a lot of tricks needed to reach Google’s level of translation capability, so we’ll be doing a deep dive in this lesson to learn nearly all the tricks used by state of the art systems.

Next up, we’ll learn about Densenets, which in July 2017 were awarded the CVPR Best Paper award, and have been shown to provide state of the art results in computer vision, particularly with small datasets. They are very similar to resnets, but with one key difference: the branches in each section are combined through concatenation, rather than addition. This apparently minor change makes a big difference in how they learn. We’ll also be using this technique in the next lesson to create a state of the art system for image segmentation.

Lesson 14: Time Series & Segmentation

Deep learning has generally been associated with unstructured data such as images, language, and audio. However it turns out that the structured data found in the columns of a database table or spreadsheet, where the columns can each represent different types of information in different ways (e.g. sales in dollars, area as zip code, product id, etc), can also be used very effectively by a neural network. This is equally true if the data can be represented as a time series (i.e. the rows represent different times or time periods).

In particular, what we learnt in part 1 about embeddings can be used not just for collaborative filtering and word encodings, but also for arbitrary categorical variables representing products, places, channels, and so forth. This has been highlighted by the results of two Kaggle competitions that were won by teams using this approach. We will study both of these datasets and competition winning strategies in this lesson.

Finally, we’ll look at how the Densenet architecture we studied in the last lesson can be used for image segmentation - that is, exactly specifying the location of every object in an image. This is another type of generative model, as we learnt in lesson 9, so many of the basic ideas from there will be equally applicable here.

New fast.ai course: Computational Linear Algebra

I am thrilled to release fast.ai’s newest free course, Computational Linear Algebra, including an online textbook and a series of videos, and covering applications (using Python) such as how to identify the foreground in a surveillance video, how to categorize documents, the algorithm powering Google’s search, how to reconstruct an image from a CT scan, and more.

Jeremy and I developed this material for a numerical linear algebra course we taught in the University of San Francisco’s Masters of Analytics program, and it is the first ever numerical linear algebra course, to our knowledge, to be completely centered around practical applications and to use cutting edge algorithms and tools, including PyTorch, Numba, and randomized SVD. It also covers foundational numerical linear algebra concepts such as floating point arithmetic, machine epsilon, singular value decomposition, eigen decomposition, and QR decomposition.

What is numerical linear algebra?

“What exactly is numerical linear algebra?” you may be wondering. It is all about getting computers to do matrix math with speed and with acceptable accuracy, and way more awesome than the somewhat dull name suggests. Who cares about how computers do matrix math? All of you, probably. Data science is largely about manipulating matrices since almost all data can be represented as a matrix: time-series, structured data, anything that fits in a spreadsheet or SQL database, images, and language (often represented as word embeddings).

A typical first linear algebra course focuses on how to solve matrix problems by hand, for instance, spending time using Gaussian Elimination with pencil and paper to solve a small system of equations manually. However, it turns out that the methods and concerns for solving larger matrix problems via a computer are often drastically different:

  • Speed: when you have big matrices, matrix computations can get very slow. There are different ways of addressing this:
    • Different algorithms: there may be a less intuitive way to solve the problem that still gets the right answer, and does it faster.
    • Vectorizing or parallelizing your code.
    • Locality: traditional runtime computations focus on Big O, the number of operations computed. However, for modern computing, moving data around in memory can be very time-consuming, and you need ways to minimize how much memory movement you do.
  • Accuracy: Computers represent numbers (which are continuous and infinite) in a discrete and finite way, which means that they have limited accuracy. Rounding errors can add up, particularly if you are iterating! Furthermore, some math problems are not very stable, meaning that if you vary the input a little, you get a vastly different output. This isn’t a problem with rounding or with the computer, but it can still have a big impact on your results.

  • Memory use: for matrices that have lots of zero entries, or that have a particular structure, there are more efficient ways to store these in memory.

  • Scalability: in many cases you are interested in working with more data than you have space in memory for.

This course also includes some very modern approaches that we don’t know of any other numerical linear algebra courses covering (and we have done a lot of researching of numerical linear algebra courses and syllabi), such as:

  • Randomized algorithms
  • Numba: a library that compiles Python to optimized C code
  • PyTorch: an alternative to Numpy that runs on the GPU (also, an excellent deep learning framework, although we are using it just as a Numpy alternative here to speed up our code)

Basically, we considered anything that could speed up your matrix computations as fair game to cover here!

Teaching Methodology

This course uses the same top down, code first, application centered teaching method as we used in our Practical Deep Learning for Coders course, and which I describe in more detail in this blog post and this talk I gave at the San Francisco Machine Learning meetup. Basically, our goal is to get students working on interesting applications as quickly as possible, and then to dig into the underlying details later as time goes on.

This approach is very different from how most math courses operate: typically, math courses first introduce all the separate components you will be using, and then you gradually build them into more complex structures. The problems with this are that students often lose motivation, don’t have a sense of the “big picture”, and don’t know which pieces they’ll even end up needing. We have been inspired by Harvard professor David Perkin’s baseball analogy. We don’t require kids to memorize all the rules of baseball and understand all the technical details before we let them have fun and play the game. Rather, they start playing with a just general sense of it, and then gradually learn more rules/details as time goes on. All that to say, don’t worry if you don’t understand everything at first! You’re not supposed to. We will start using some “black boxes” or matrix decompositions that haven’t yet been explained, and then we’ll dig into the lower level details later.

I love math (I even have a math PhD!), but when I’m trying to solve a practical problem, code is more useful than theory. Also, one of the tests of whether you truly understand something is if you can code it, so this course if much more code-centered than a typical numerical linear algebra course.

The Details

The primary resource for this course is the free online textbook of Jupyter Notebooks, available on Github. They are full of explanations, code samples, pictures, interesting links, and exercises for you to try. Anyone can view the notebooks online by clicking on the links in the readme Table of Contents. However, to really learn the material, you need to interactively run the code, which requires installing Anaconda on your computer (or an equivalent set up of the Python scientific libraries) and you will need to be able to clone or download the git repo.

Accompanying the notebooks is a playlist of lecture videos, available on YouTube. If you are ever confused by a lecture or it goes too quickly, check out the beginning of the next video, where I review concepts from the previous lecture, often explaining things from a new perspective or with different illustrations.

You can ask questions or share your thoughts and resources using the Computational Linear Algebra category on our fast.ai discussion forums.

This course assumes more background than our Practical Deep Learning for Coders course. It was originally taught during the final term before graduation of the USF Master of Science in Analytics program, and all students had already participated in a “Linear Algebra Bootcamp”. If you are new to linear algebra, I recommend you watch the beautiful 3Blue 1Brown Essence of Linear Algebra video series as preparation.

There is no official registration for the course; rather it is up to you to work through the materials at your own pace. You can get started now, by watching the 1st video:

Applications covered

This list is not exhaustive, but here are a few of the applications covered:

  • How to identify the foreground in a surveillance video, by decomposing a matrix into the sum of two other matrices
Photo = Background + People

  • How to reconstruct an image from a CT scan using the angles of the x-rays and the readings (spoiler: it’s surprisingly simple and we use linear regression!), covered in Lesson 4

  • How to identify topics in a corpus of documents, covered in Lesson 2.

Image Source: NMF Tutorial

  • The algorithm behind Google’s PageRank, used to rank the relative importance of different web pages

Can’t I just use sci-kit learn?

Many (although certainly not all) of the algorithms covered in this course are already implemented in scientific Python libraries such as Numpy, Scipy, and Scikit Learn, so you may be wondering why it’s necessary to learn what’s going on underneath the hood. Knowing how these algorithms are implemented will allow you to better combine and utilize them, and will make it possible for you to customize them if needed. In at least one case, we show how to get a sizable speedup over sci-kit learn’s implementation of a method. Several of the topics we cover are areas of active research, and there is recent research that has not yet been added to existing libraries.

How to Encourage Your Child's Interest in Science and Tech

This week’s Ask-A-Data-Scientist column is from a parent on how to encourage their child in STEAM. Please email your data science related quandaries to rachel@fast.ai. Previous posts include:

Q: My daughter loves math and art. She’s currently an 8th grader. My husband and I are not STEAM (Science, Technology, Engineering, Art, Math) people. I’d love to expose her to possible career options but am limited by my ignorance and perhaps my location. Do you have any suggestions for an intelligent, young person who is about to start her high school journey?

A: First, I am so glad you are encouraging your daughter’s interests! I have several recommendations and resources. This is a fantastic time in history to be a kid with an internet connection interested in math and art.

1. She should learn to code. In STEM, code is the language of creativity, and without knowing how to code, you are reliant on tools created by others. A good place to start is with blockly games, which teaches programming concepts (such as loops, variables, and logic) though a variety of mazes and puzzles. Blockly library was developed by the Google for Education team.

As for programming, I recommend that she start by learning JavaScript with Khan Academy’s Intro Javascript: Drawing & Animation and then move on to Advanced JavaScript: Games and Visualizations. Khan Academy has a great interface in which the code editor and picture show up side by side, and you can instantly see how the picture changes as you change the code.

Anyone who knows me may be suprised that I’m recommending Javascript first, since I didn’t learn it until just a few years ago and it’s never been the primary language I use. My reasons are this: Javascript is interactive, visual, and the language of the web. It is the best language for creating things that will interest her non-coder friends. Anytime you make an action on a website (such as clicking a button or moving your mouse) and something happens (an image changes, you go to a new page, new text appears) you have Javascript to thank for that. Note: JS is not just for web; it can also be used for mobile, backend, and embedded devices, so basically everything.

I really like that Khan Academy introduces Javascript through the applications of drawing and visualizations. My introduction to coding was a high school C++ course almost 20 years ago, where one of our first assignments was to print out credit card balances by month, varying based on what size payments were made and the interest rate. I still remember how delighted I was watching the table of numbers print to the terminal, but there are far more engaging intros now.

A note for parents of younger children: you might want to check out scratch (language for children developed by MIT Media Lab), snap (drag-and-drop programming language), or snap circuits (electronics kits).

2. The videos of 3 Blue 1 Brown have gorgeous visuals, and are well suited to visual thinkers and anyone that enjoys art and patterns. They are a fairly different perspective on math, and one I’d like to see more of. When watching them, don’t stress about understanding every concept, but try to just enjoy the beatuy. The video on the surprising relationship between binary/ternary counting, the Towers of Hanoi puzzle, and Sierpinski’s triangle may be a fun place to start.

Vi Hart’s Doodling in Math Class is also a fun and fantastic series.

3. A ton of exciting advances are happening in the maker space– people creating clothing that lights up, machines that 3d print pancakes, robots to move your Klein bottle collection around– and there are lots of resources available for all ages. Maker spaces are being added in libraries across the country, and can include anything from 3D Printers, littleBits, LEGO Robotics, Arduinos, Snap Circuits, design software, woodworking tools, jewelry making tools, paper crafting equipment, microscopes and other science gadgets, sewing machines, and more, and many offer workshops or classes. You can also see if there is a regional Maker Faire in your area.

Two of my favorite adult examples: I was in the audience when Kassandra Perch gave a delightful demo during her keynote at ForwardJS, a Javascript conference. She was wearing a belt covered in patterns of light and instructed the audience to tweet colors at her, and those colors were then displayed on the belt (from minutes 12-16 in this video– don’t be intimidated by the amount of code she shows, there are simpler light projects which require less code).

One of the students from our fast.ai course bought several tons of legos on ebay and constructed a machine to automatically sort the legos (old bulk lego is sold more cheaply, but the resale value for sorted Lego is much higher and can be quite lucrative for certain pieces). I want children to know that adults do things like create interactive colorful light-up clothing for the keynote speech at a professional conference, or construct machines to sort Legos in their free time. Both of these examples are by experts, but you do not need to be an expert to work with hardware or program an arduino.

4. Encourage her to start a blog about what she is learning, creating, and exploring. I recently wrote a post (inspired by a question from a college student) encouraging everyone to blog, and I think the advice certainly holds for high schoolers. Many schools relegate writing to the humanities and social sciences, and don’t give students the practice of writing about math and technology. Being able to write and communicate technical ideas clearly is a super important and useful skill in today’s world (art can help with this too!). As I said previously, a blog is like a resume, only better. This holds true for high school students as well, and could be useful in landing internships. Check out this post for tips on how to get started.

You can checkout the zines by Amy W (an MIT computer science grad who hacks knitting machines) or Julia Evans (an infrastructure engineer at credit processing startup Stripe) for great examples of how cartoons and sketches can illuminate technical concepts. They are also two women I deeply admire!

5. As for profiles of possible careers, Khan Academy has a series of career profiles.

Fast.ai students are using math and coding in a wide variety of interesting and meaningful ways such as: listening for chainsaw noises in endangered rainforests with recycled cell phones, diagnosing malaria in under-staffed Ugandan clinics, and reducing suicides of farmers in India.

6. Miscellaneous Groups and Resources. Although these are location specific, note that groups exist in a wide variety of places, not just in major tech hubs like San Francisco or New York City:

  • Iridescent Technovation: Through Technovation, teams of teenage girls around the world (from 78 different countries!) build mobile apps to solve problems in their communities, create business plans, and launch their solutions.
  • Black Girls Code: Introduces Black girls to coding and game design. They’ve reached over 3,000 students in cities such as Atlanta, Miama, LA, Dallas, Memphis, and others, and have plans to expand.
  • Blue 1647 offers a variety of programs including teaching youth to create web and mobile apps, Latina Girls Code, MineCraft Development bootcamps, programs for individuals with intellectual disabilities, and more. It has locations in Chicago, St. Louis, Compton, Indiana, Haiti, and LA.

7. There is a lovely essay called A Mathematician’s Lament written by Paul Lockhart, a former Brown University math professor who quit to teach K-12. He describes a nightmare world in which children are not allowed to sing songs or play instruments until they have spent over a decade studying music notation, transcribing sheet music by hand in different keys, and memorizing their circle of fifths. That sounds horrifying! Yet it is how math is taught in most schools– the focus is on dry notation, formal rules, memorization, and disconnected components, with the fun and creative parts saved until long after most students have dropped out.

I hope you can encourage your child to keep a sense of creativity, beauty, pattern, and play when approaching math. I know it can be difficult for children to maintain their curiosity and passion for subjects when adults or peers don’t understand their interests.

My daughter is still a toddler, so I haven’t gotten to experience this firsthand yet and I would love to hear from those of you who have! Also, a huge thanks to everyone who gave me suggestions for this article on Twitter.