Adaptive teachers use student data to guide instruction. Learn about using an anecdotal record form to support adaptive teaching. In this article, the authors describe how teachers can use learning trajectories to make adaptive decisions to meet the needs of their students. They provide an example using the U .S. Math Recovery Council's learning…

This article details an exploratory data analysis project using the Common Online Data Analysis Platform (CODAP) based on the "Guidelines for Assessment and Instruction in Statistics Education" (GAISE) four-part statistical problem-solving model. The project goal was to answer what similarities and differences exist within the school…

Since data collection technologies has become a part of daily life, measurement and data requirements now permeate many state mathematics standards, beginning as early as kindergarten and extending through high school. For example, the Standards for Mathematical Content, recommend that kindergarteners "describe and compare measurable…

School-based citizen science (SBCS) provides opportunities for teachers to purposefully integrate mathematics and science content and practices throughout the year. With SBCS projects, students have countless opportunities to apply their mathematics skills within the context of science data collection and sense making. This article details how a…

Students' sense of belonging in the mathematics classroom can be supported and increased by building mathematics tasks that connect to and incorporate aspects of students' identities and sense of selves (e.g., their names, images, and ages). This article shares one commonly used mathematics task and highlights how it can be used to create…

To be literate in a society where the information shared online is often exploited, learners should be exposed to multiple aspects of contemporary predictive modeling. This article explores an activity in which grade 10 students learned how a famous AI algorithm (the Apriori algorithm) uses conditional probability to automate the process of…

This article describes an activity and resource from The New York Times that can be used to help learners cultivate critical statistical literacy. Critical statistical literacy involves understanding, interpreting, and questioning statistical information to make informed decisions (Casey et al., 2023; Franklin et al., 2015; Weiland, 2017). It is a…

Classroom stories show how using technology to investigate the wage gap provided opportunities to develop students' identities and agency and enabled a classroom culture of sharing and risk-taking. This article illustrates how technology can (a) support students' engagement in case-based reasoning by helping them organize and analyze data; (b)…

In this article, the author presents a short teaching sequence to show how to introduce young students in grades 3 (ages 8-9) and 4 (ages 9-10) to using digital tools for exploring larger and multivariate data sets. The teacher guided the young students from creating bar graphs in small data sets on embodied cognition and enactive levels to…

In working with the youngest learners, drawing from their own lived experiences to inform mathematics instruction is a critical piece for engaging with as well as supporting students in mathematizing their world (NAEYC and NCTM 2002, 2010; NCTM 2020). In the interaction described in this article, four-year-old children used mathematics to examine…

Quadratic modeling problems are commonplace in high school mathematics courses; they typically situate quadratic patterns of change and their corresponding parabolic graph within real-world contexts. Traditional approaches to this type of problem lend themselves to making connections across different representations (e.g., Garofalo and Trinter…

Over the course of 18 months, teams at the University of Chicago and Stanford University joined with other leaders across the United States and world to consider the issue of the types of mathematics used in the classroom. It quickly became clear that all students--starting from the youngest in prekindergarten to those in college--need to learn…

Connections is one of the Process Standards set forth by the National Council of Teachers of Mathematics (NCTM 2000), whereby teachers provide students with learning opportunities to "recognize and apply mathematics in contexts outside of mathematics." Similarly, the Standards for Mathematical Practice (NGA Center and CCSSO 2010) call…

In this article, the authors introduce the "Pre-K-12 Guidelines for Assessment and Instruction in Statistics Education II (GAISE II): A Framework for Statistics and Data Science Education" report. This report, which was published by the American Statistical Association (ASA) and endorsed by the National Council of Teachers of Mathematics…

Probabilistic reasoning underpins much of middle school students' future work in data analysis and inferential statistics. Unfortunately for many middle school students, probabilistic reasoning is not intuitive. One specific area in which students seem to struggle is determining the probability of compound events (Moritz and Watson 2000). Research…