Defining a quadratic function through the slopes of its secant/tangent lines leads to the fundamental theorem of calculus (FTC) and an alternative way of understanding integration.
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Sheldon P. Gordon and Michael B. Burns
We introduce variations on the Fibonacci sequence such as the sequences where each term is the sum of the previous three terms, the difference of the previous two, or the product of the previous two. We consider the issue of the ratio of the successive terms in ways that reinforce key behavioral concepts of polynomials.
Eric Milou and Steve Leinwand
The standard high school math curriculum is not meeting the needs of the majority of high school students and that serious consideration of rigorous alternatives is a solution whose time has come.
Charles F. Marion
The simplest of prekindergarten equations, 1 + 2 = 3, is the basis for an investigation involving much of high school mathematics, including triangular numbers, arithmetic sequences, and algebraic proofs.
Sara Gartland, Shellee Wong, and Laurie Silverstein
Co-teachers in a ninth-grade algebra 1 class offered instruction that integrates mathematical learning with social and emotional learning during hybrid (online and face-to-face) class meetings, promoting healing and positive identity development among students.
Sarah Quebec Fuentes
Learn about strategies and tools to examine and improve your practice with respect to fostering equitable small-group, student-to-student discourse.
Joshua David Jones
To be literate in a society where the information shared online is often exploited, learners should be exposed to multiple aspects of contemporary predictive modeling. Explore a lesson in which students learned an algorithm used in practice to automate the process of making recommendations.
Marykate McCracken
Show your students how useful mathematics can be in real-world applications.
F. Paul Wonsavage
Three approaches to the Doughnut task highlight how representing functions in multiple ways can support student understanding in interpreting key features of functions within a context.
Blake Peterson
Examining the covariation of triangle dimensions and area offers a geometric context that makes analyzing a piecewise function easier for students.