We introduce the Into Math Graph tool, which students use to graph how “into" mathematics they are over time. Using this tool can help teachers foster conversations with students and design experiences that focus on engagement from the student’s perspective.
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Amanda K. Riske, Catherine E. Cullicott, Amanda Mohammad Mirzaei, Amanda Jansen, and James Middleton
Christina Lundberg
My favorite lesson is based on a problem my geometry students encounter. When we study similar triangles, students use indirect measurement to determine the height of an object.
Michael Weiss
One of the central components of high school algebra is the study of quadratic functions and equations. The Common Core State Standards (CCSSI 2010) for Mathematics states that students should learn to solve quadratic equations through a variety of methods (CCSSM AREI.4b) and use the information learned from those methods to sketch the graphs of quadratic (and other polynomial) functions (CCSSM AAPR.3). More specifically, students learn to graph a quadratic function by doing some combination of the following:

Locating its zeros (xintercepts)

Locating its yintercept

Locating its vertex and axis of symmetry

Plotting additional points, as needed
Yating Liu and Mary C. Enderson
Similar assumptions seem to give rise to conflicting answers when students approach probability questions differently.
Kent Thele
Encourage investigation of the conicsection attributes of focus, eccentricity, directrix, and semilatus rectum using polar coordinates and projective geometry.
Miriam Gates, Tracy Cordner, Bowen Kerins, Al Cuoco, Eden Badertscher, and Gail Burrill
With this professional development program, teachers work with colleagues and experience a manner of teaching that embeds habits of mind.
James Metz, Lance Hemlow, and Anita Schuloff
Explore the relationship between families of quadratic expressions factorable over the integers and Pythagorean triples.
Craig Huhn
Lesson planning leads to a deeper consideration of what it means to study and learn mathematics.
Ruth N. UrbinaLilback
Two instructional principles–being open to students' input and building on misconceptions–can open the door for mathematics learning in community college.
S. Asli ÖzgünKoca
Student interviews inform us about their use of technology in multiple representations of linear functions.