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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Student Engagement with the “Into Math Graph" Tool
Amanda K. Riske, Catherine E. Cullicott, Amanda Mohammad Mirzaei, Amanda Jansen, and James Middleton
Chivalry, at Least “Math Chivalry,” Is Not Dead!
A cartoon exploring a problem about order of operations is coupled with a full-page activity sheet.
Odd Shape Out
big solutions to little problems
Jo Ann Cady and Pamela Wells
Solutions to a previous Solve It problem are discussed, and the procedures used with problem solving are explored.
Quilt Block Symmetries
Matt B. Roscoe and Joe Zephyrs
Pull on the threads of congruence and similarity in a series of lessons that explores transformational geometry.
What's In A Name?
Sarah B. Bush, Judith Albanese, and Karen S. Karp
Students engage in an activity of predicting, collecting, organizing, analyzing, and interpreting data by exploring the frequency of names that occur over three generations.
Mathematical Explorations: A New Twist on Collaborative Learning
classroom-ready activities
Stephanie M. Butman
Research on students' learning has made it clear that learning happens through an interaction with others and through communication. In the classroom, the more students talk and discuss their ideas, the more they learn. However, within a one-hour period, it is hard to give everyone an equal opportunity to talk and share their ideas. Organizing students in groups distributes classroom talk more widely and equitably (Cohen and Lotan 1997).
Palette of Problems
Joel Amidon and Matt Roscoe
A monthly set of problems is aimed at a variety of ability levels.
Informing Practice: A Hybrid Perspective on Functions
research matters for teachers
Eric Weber
Formal notions of function, which appear in middle school, are discussed in light of how teachers might complement the input-output notion with a covariation perspective.
Palette of Problems – May 2014
Joel Amidon and Matt Roscoe
A monthly set of problems is aimed at a variety of ability levels.
Improving Preservice Secondary Mathematics Teachers' Capability With Generic Example Proofs
Shiv Karunakaran, Ben Freeburn, Nursen Konuk, and Fran Arbaugh
Preservice mathematics teachers are entrusted with developing their future students' interest in and ability to do mathematics effectively. Various policy documents place an importance on being able to reason about and prove mathematical claims. However, it is not enough for these preservice teachers, and their future students, to have a narrow focus on only one type of proof (demonstration proof), as opposed to other forms of proof, such as generic example proofs or pictorial proofs. This article examines the effectiveness of a course on reasoning and proving on preservice teachers' awareness of and abilities to recognize and construct generic example proofs. The findings support assertions that such a course can and does change preservice teachers' capability with generic example proofs.