Digitalizing Higher Mathematics

Leverage the advent of technologies and learn higher mathematics — in a different way.

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    Mathematics On A Digital Platform

    Digital Mathematics

    As a digital publisher on topics pertaining to higher mathematics, we strike to leverage 21st-century technologies to deliver professionally-produced academic materials for future mathematicians, scientists, and other related professionals.

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    Mathematical Literacy

    First-Order Logic — The Basics

    Redefining the bar of mathematical literacy and excellence through teaching and dissemination of educational materials in higher mathematics.

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    Accelerated Learning


    Effective skill/knowledge acquisition and retainment — especially in the context of abstract concepts — involves the strategic uses of cognitive technologies and principles.

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    Improvised Interactive Tutoring

    Notebook and coffee on the table

    Much like a drum clinic, improvised interactive tutoring consists of teaching what people need by inventing up lectures/problems on the fly and have students “teach” the materials — conversation style.. This teaching methodology can serve to complement or replace the traditional one-size-fits-all educational paradigm.

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Redefining Mathematical Education

Even Harvard admits that traditional classroom lectures are hardly an effective means of learning. With that in mind, what are you doing to mitigate this inefficiency?

The stereotypical lecture where the professor is giving exposition of textbook-type material to the students — I think that type of exposition can be done better with online video or by an interactive-tutorial format.

— Logan McCarty,  Director of Physical Sciences Education, Harvard University, April 2012

[S]itting passively and taking notes is just not a way of learning. Yet lectures are 99 percent of how we teach!

— Eric Mazur, Balkanski Professor of Physics and Applied Physics, Harvard University, April 2012

[W]ebsites and laptops have been around for years now, but we haven’t fully thought through how to integrate them with teaching so as to conceive of courses differently.

— Terry Aladjem, Executive Director, Derek Bok Center for Teaching and Learning, Harvard University, April 2012

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Bag of Tricks

Regular Modules / Newsletters

Enlighten your day — one bit at a time — with lessons that are as colorful as children’s novels, and as mentally stimulating as technical textbooks.

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Alternative Academic Publishing

Throughly researched, professionally typesetted materials in higher mathematics — right at your fingertips.

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Customized Tutoring / Consulting

Greatly accelerate your learning speed — by immersing in an environment where you can actually get your questions answered and background covered.

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Testimonials: What Others Are Saying

Tom [Math Vault] was the only person I found that was able to truly help me in what I found to be one of the most difficult courses of my degree, Algebra 1.
— Christian S., High School Faculty at Kuper AcademyApril 27, 2015
Howdy! Someone in my Myspace group shared this site with us so I came too take a look. I’m definitely enjoying the information. I’m book-marking andd will be tweeting this to my followers! Fantastic blog and brillliant design.
— Calculus Tutor NYCMay 29, 2015

Wow! That’s so out there that it literally blows my mind!  8)

Abby Pingleton., January 3, 2016

Haha very funny!

— Matthew L., Economic Student at McGill UnversityJune 28, 2015

(to which we muttered You got it. 🙂 “)

That mock ad was hilarious and makes my day. Any new one coming in the near future?
— Joel P., B.Comm. Student at Concordia’s John Molson School of Business July 3, 2015
This seems like a typical math olympiad problem. Maybe I could share more of these on my Math features.
— Chow Kim Wan, Disney/Broadway blogger, July 20, 2015
Hey, great news – I got an A- in the logic exam! Thanks to you! Take that, Fitch&friends
— Evangeline R. G., McGill Exchange Student from New Zealand, February 7,2014
One of the things that makes this site so great is how quickly you guys reply and update your articles/guides. Rest assured you’ve found a regular visitor in me, and I will share this with everyone I deem fit — calling it my dirty secret to Math!
— Banergee Anitej, Higher Mathematics Enthusiast, May 19, 2016


Using Downtown Montreal as our launching pad, we aim to provide educational services to major colleges/universities across Canada — and digital products to the world at large.

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