Questions tagged [algebra]
Algebra is the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
258 questions
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How best to remediate algebra students as a tutor?
I'm a tutor for math and math SAT/ACT. Sometimes, I get a student who has failed or never even seen algebra before.
Right now, I have a homeschooled kid who is supposed to be an 11th grader and is ...
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Role of the history of the subject in teaching abstract algebra?
The evolution of a subject often, though not always, affects the order or style in which topics are typically presented.
I was wondering if it is the case with abstract algebra.
There are books such ...
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Teaching Advanced PreCalculus
So long story short, I am currently teaching PreCalculus. I teach along the line of Stitz & Zeager, with some minor omission as well as addition by myself. When I teach, I aim at writing exam ...
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Teaching how to use multiple equations to find relationships without concrete numbers
I recently tutored physics to a high school student who had a math-related issue. She was fine with problems that had numbers in them, e.g. plugging time and velocity into a kinematics equation to ...
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Good ways to help students overcome the mistake that $ 2a - 3b + 7a + 4b = -5a + 7b$
I often encounter students who incorrectly think that $ 2a - 3b + 7a + 4b = -5a + 7b,$ rather than $9a + b,$ due to the misapprehension that
$$ 2a - 3b + 7a + 4b = \color{red}{2a -}\ \color{lightblue}{...
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Difference between pre-algebra and early algebra in primary school teacher education
The context here is a course for primary school teachers who want to get a qualification for teaching mathematics. "Algebra" does not therefore mean university level or proof-based algebra. ...
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How is the "simplest form" defined in the case of complex trig expressions?
So, I do a lot of complex trig. Some of it I do by hand, and some with WA, but almost uniformly, WA ends up with a different form of the final expression than I do, and I need to do an "equals&...
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When learning about algebra and geometry, should I read roughly or try to understand every sentence?
I am a new graduate student majoring in pure mathematics. In past four years, I was interested in analysis, especially complex analysis. Now I think what attract me most are topics about algebra and ...
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Throwing Expressions: The Under-Taught Art of Algebraic Sculpting
I've come to realize, in my dotage after a whole career carrying out utilitarian algebra and calculus, there there is a specific algebraic skill that they never specifically teach you, that turns out ...
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solutions to Hung-Hsi Wu's Teaching School Mathematics: Prealgebra/Algebra textbooks?
I am currently home-schooling my kids and picking up the math subjects that have long been neglected by me.
I have been looking for solutions to Hung-Hsi Wu's <Teaching School Mathematics: ...
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Best way to explain the thinking steps from x² = 9 to x=±3
I'm writing four young adult novels with math at the center. The first one is about complex numbers. I'd like to know what good teachers think of the implied pedagogy in the following conversation ...
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What skills do algebra teachers wish their students had mastered before taking algebra?
I am designing 10 hour weekly summer math learning opportunities for students taking algebra next school year. I would like to know from algebra teachers what skills they wish their students had ...
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Usage of cubic equation Vieta's formula
I explained to my kid Vieta's formula of quadratic equation and showed that it can be used to solve quadratic equation (from $x_1+x_2$ and $x_1x_2$ to get $x_1-x_2$) and cubic equation (Cardano's ...
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Math textbook for secondary school using Logo like language
What math textbooks for kids do you know that use Logo or similar languages with visual robots like Turtle (in "The Turtle Geometry") that demonstrate space motions, transformations of all ...
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Math textbook for secondary school using Logo like syntax
What math textbooks for kids do you know that use Logo or similar languages with visual robots like Turtle (in "The Turtle Geometry") that demonstrate space motions, transformations of all ...
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