Inquiry-based instruction is a student-centered approach to teaching that focuses on active learning (Barron and Darling-Hammond 2008) in which students engage with "tasks that promote reasoning and problem solving" (NCTM 2014). Specifically, such tasks encourage a variety of solution strategies and stimulate use of the NCTM Process…

As middle school teachers, the authors want their students to develop voice and agency because they want them to be able to make productive decisions about how to approach mathematics, communicate mathematics, and use mathematics to interpret and transform the world in which they live. They use this article to present two vignettes that examine…

Emotions are central to how students experience mathematics, yet we know little about how specific instructional practices relate to students' emotions in mathematics learning. We examined how dialogic instruction, a socially dynamic form of instruction, was associated with four learning emotions in mathematics: enjoyment, pride, anger, and…

The effectiveness of an experimental middle school fraction intervention was evaluated. The intervention was centered on the number line and incorporated key principles from the science of learning. Sixth graders (N = 51) who struggled with fraction concepts were randomly assigned at the student level to the experimental intervention (n = 28) or…

The purpose of this study is to evaluate the effectiveness of IXL Math online software in raising student achievement on the New York State Math exam, with special focus on effects by student gender, ethnicity and disability status. The study includes an analysis of the relationship between scale scores and time spent using the IXL system, number…

Middle school serves as a key milestone for pre-algebra mastery, enabling students to be successful in high school algebra. Yet, at the point when students should be transitioning from learning arithmetic to learning mathematics, many are unprepared in fundamental mathematics concepts that strongly predict algebra achievement. Because mastering…

Middle school is a critical time in students' learning of mathematics, something a Learning Management System (LMS) is designed to help parents support. What remains unknown is how parents use an LMS to monitor their children's progress in mathematics. This qualitative case study explored how parents from one midAtlantic middle school with 543…

Middle school is a critical time in students' learning of mathematics, something a Learning Management System (LMS) is designed to help parents support. What remains unknown is how parents use an LMS to monitor their children's progress in mathematics. This qualitative case study explored how parents from one midAtlantic middle school with 543…

Curriculum Associates' "i-Ready® Instruction" is a supplemental, online personalized instruction program available for reading and mathematics. The Human Resources Research Organization (HumRRO), in collaboration with Century Analytics, implemented a quasi-experimental design (QED) using 2018-19 "i-Ready Diagnostic" and…

The author describes interactions with two middle grades (grades 6-8, student ages 11-14 years) and three secondary school (grades 9-12, student ages 14-18 years) mathematics teachers designed to increase and enhance teachers' content knowledge and transform their classroom instruction by embedding the author (i.e., mathematics teacher educator)…

The effectiveness of an experimental middle school fraction intervention was evaluated. The intervention was centered on the number line and incorporated key principles from the science of learning. Sixth graders (N = 51) who struggled with fraction concepts were randomly assigned at the student level to the experimental intervention (n = 28) or…

In spring 2015 Mississippi began testing the college readiness of all grade 11 public high school students and found that approximately 18 percent were ready for college math, a percentage that had changed little by 2017/18. This study examined: (1) the sequences of math courses that Mississippi students took in grades 6-11; (2) the math…

In spring 2015 Mississippi began testing the college readiness of all grade 11 public high school students and found that approximately 18 percent were ready for college math, a percentage that had changed little by 2017/18. This study examined: (1) the sequences of math courses that Mississippi students took in grades 6-11; (2) the math…

PowerTeaching is an evidence-based, structured cooperative learning program. It aims to prepare students to meet the stringent demands of new state math standards, both the knowledge standards and the 21st-century skills standards, such as around communication and collaboration. Awarded a scale-up grant in 2012 by the federal government, the…

This exemplary case study describes the learning process of two sixth-graders that learn from an animated worked-out example and an accompanying self-explanation prompt in the domain of fractions. It is based on a corresponding field study. The analysis focuses on the interaction with the computer, the communication between the students, the…