From the Archives highlights articles from NCTM’s legacy journals, as chosen by leaders in mathematics education.
Jeff Gregg, Diana Underwood Gregg, and Introduction by: Melissa Boston
Corey Webel and Sheunghyun Yeo
In this article, we share results from a field experience model in which junior-year methods classes were held in an elementary school and preservice teachers (PSTs) worked with a single student (a “Math Buddy") on mathematics for 30 minutes per day. We focus on the development of PSTs’ skills for exploring children’s thinking and the structures and tools that we used to support this development. Data sources include screencast recordings of interactions with Math Buddies and written reflections completed by PSTs. Although the responsiveness of interactions varied across individuals and interactions, in general, PSTs showed improvements in exploring children’s thinking. We share implications of these findings for similar field experience models and for practice-based approaches to teacher education generally.
Susie Katt and Megan Korponic
This document contains the actual problems for April 2020.
Susan Baker Empson, Victoria R. Jacobs, Naomi A. Jessup, Ms. Amy Hewitt, D'Anna Pynes, and Gladys Krause
The complexity of understanding unit fractions is often underappreciated in instruction. We introduce a continuum of children's understanding of unit fractions to explore this complexity and to help teachers make sense of children's strategies and recognize milestones in the development of unit-fraction understanding. Suggestions for developing this understanding are provided.
George J. Roy, Jessica S. Allen, and Kelly Thacker
In this paper we illustrate how a task has the potential to provide students rich explorations in algebraic reasoning by thoughtfully connecting number concepts to corresponding conceptual underpinnings.
Daniel Edelen, Heather Simpson, and Sarah B. Bush
The incorporation of the “M” in STEAM must extend beyond simply a tool to address science and engineering standards (Authors, 2016; NCSM/NCTM, 2018). We present a mathematics- rich STEAM inquiry in which elementary students engaged in solving the issue of homelessness for one family in need.
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.
Emily Dardis and Megan H. Wickstrom
Modifications to a first- and second-grade STEAM activity, Elephant Toothpaste, highlight ways to emphasize mathematical thinking by running multiple experiments, posing mathematical questions, and having students make both qualitative and quantitative observations. Contributors to the iSTEM department share ideas and activities that stimulate student interest in the integrated fields of science, technology, engineering, and mathematics (STEM) in K–grade 5 classrooms.
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.