Empirical evidence exists that enhancing students’ language can promote the mathematics learning of multilingual students at risk, whereas other target groups (e.g., monolingual students, successful students, both with diverse academic language proficiency) have hardly been considered. This cluster-randomized controlled trial (N = 589) investigates differential effects for these extended target groups, comparing two language-responsive interventions (with or without vocabulary work) and a control group. The regression analysis reveals that all students significantly deepened their conceptual understanding in both interventions. Unlike what was anticipated, multilingual students’ growth of conceptual understanding had no significant additional benefit from integrated vocabulary work. These findings call for promoting language-responsive mathematics instruction for all students and for using a discursive rather than a vocabulary focus.
Susanne Prediger, Kirstin Erath, Henrike Weinert, and Kim Quabeck
This article describes how fortuitous mathematical moments should be noticed, encouraged, embraced, and capitalized upon.
Justin Gregory Johns, Chris Harrow, and Peter Nikolai
Problems to Ponder provides 28 varying, classroom-ready mathematics problems that collectively span PK–12, arranged in the order of the grade level. Answers to the problems are available online. Individuals are encouraged to submit a problem or a collection of problems directly to email@example.com. If published, the authors of problems will be acknowledged.
Justin Gregory Johns, Chris Harrow, and Kaitlyn Alexander
I have developed a deep appreciation for and love of mathematics by using famous works of art as a bridge to energize my mathematics teaching and inspire my students.
Deanna Pecaski McLennan
For the Love of Mathematics
Amanda K. Riske, Catherine E. Cullicott, Amanda Mohammad Mirzaei, Amanda Jansen, and James Middleton
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.