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Right when we think we’ve nailed math, it throws us for a loop. Suddenly, we are no longer solving problems, but being asked to prove theorems we had previously been told to just accept were true. Embarking on the journey from computational mathematics to proof-based mathematics can be a daunting task. The shift from solving well-defined problems ...
Students in classes such as linear algebra and calculus often ask what to do when they get stuck.
Math is relevant to every day life, though it is certainly a language that requires patience to learn and practice to upkeep. While most of my work these days uses a very different kind of math – mostly statistics and regression – my love of baking helps me keep up some of my fundamental algebra skills.
When learning about lines in Algebra 1, you likely learned how to solve a system of (linear) equations, such as the following, by graphing:
Learning math often feels like it’s all about right or wrong, like success or failure are the only two possible options and that all of your math expertise is visible as soon as you take a test. What I experienced as a student studying math and now as a math teacher is that this couldn’t be further from the truth. Some of my greatest learning ...
I always tell my students not to be afraid to ask why. In so many parts of our lives, we are asked to defend our opinions and ideas—to offer evidence and to explain our thinking or reasoning. But sometimes, it feels this is missing from math education, especially in middle school and high school. Math becomes about memorizing formulas rather than ...
The Pythagorean Theorem plays an essential role in many facets of math from Euclidean Geometry to complex numbers to trigonometry. Today we’ll explore one of its many proofs.