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.
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Susanne Prediger, Kirstin Erath, Henrike Weinert, and Kim Quabeck
The Asked & Answered department shares excerpts from discussion threads on the online MyNCTM community. In this issue, featured threads highlight responses to members' questions related to mathematical depth in preschool, spiral review in the upper elementary grades, ideas for differentiation in middle school, and projects for high school algebra.
The Asked & Answered department shares excerpts from discussion threads on the online MyNCTM community. In this issue, featured threads highlight responses to members' questions regarding 1st grade number sense, multiplication and division of fractions, issues of definition and precision related to circles, and the value of rationalizing denominators.
Karen S. Karp, Sarah B. Bush, and Barbara J. Dougherty
Try these meaningful alternative approaches to helping students make sense of word problems.
Stefanie D. Livers, Kristin E. Harbour, and Lindsey Fowler
In our attempts to make a concept easier, we may hinder student learning.
Candace Joswick, Douglas H. Clements, Julie Sarama, Holland W. Banse, and Crystal A. Day-Hess
Modify activities according to these principles and suggestions.
Clayton M. Edwards, Rebecca R. Robichaux-Davis, and Brian E. Townsend
Three inquiry-based tasks highlight the planning, classroom discourse, positive results, and growth in one class's journey.
Students use a super-hero theme to compare the imperial system to the metric system.
Ron Lancaster
Since its inception, the Mathematical Lens column has provided teachers with resources to use with their students to make connections between mathematics and the world around us through the use of photographs. The editors and the dozens of teachers who submitted material for columns have taken all of us on a journey around the world to discover where mathematics lives. These columns have offered teachers a license to do mathematics everywhere and to travel far with their students with a full tank of resources.
