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"One of the biggest outcomes from the Washington State Algebra Challenge was the fact that mastery of linear equation-solving was reached in 1.5 hours, not just by higher grades, but even in elementary school," said Zoran Popović, director of the CGS and founder and chief scientist at Engaged Learning, in a prepared statement. "More importantly, this mastery was achieved by practically the entire classroom, as opposed to just a few students. This is shockingly good, but we think we can do even better."

And, as the platform continuously and automatically adapts based on real-time data, it accelerates the potential rate and degree of engagement and mastery in every learning opportunity."

Math certainly is incomprehensible to many students, but from where I sit, poor teaching is often the reason. Math education is failing many of our students.

I have the utmost respect for people with math degrees who choose to teach in spite of the poor pay and discipline problems, but few people make that choice.

What if medical schools know that calculus is not needed in a doctor’s day-to-day practice, but that the skills she learns when taking it, including perseverance in the face of a difficult subject, make her better at understanding and responding to the flood of information she encounters in her work?

The work could lead to educational tools that identify errors in students' reasoning or evaluate the difficulty of word problems, researchers said.

To teach the system how to perform that mapping, and to produce the equation templates, the researchers used machine learning.

In a series of experiments, the researchers would randomly select 400 of the 500 problems, use those to train their system, and then test it on the remaining 100.