Previous research provides evidence that developing a growth mindset--believing that one's capabilities can improve--promotes academic achievement. Although this phenomenon has undergone prior study in a representative sample of ninth graders in the United States, it has not been studied in representative samples of other grade levels or with…

States' annual testing data for spring 2021 showed that unfinished learning in the wake of COVID-19 is most pronounced--and most troubling--in math. In Texas, nearly 40 percent of students failed the state's math exam in 2021. In Indiana, only 37 percent were proficient in math, down from 48 percent in 2019. Many states saw similar results. What…

Learning fractions is a critical step in children's mathematical development. However, many children struggle with learning fractions, especially fraction arithmetic. In this article, we propose a general framework for integrating understanding of individual fractions and fraction arithmetic, and we use the framework to generate interventions…

Learning fractions is a critical step in children's mathematical development. However, many children struggle with learning fractions, especially fraction arithmetic. In this article, we propose a general framework for integrating understanding of individual fractions and fraction arithmetic, and we use the framework to generate interventions…

Air Tutors is an online tutoring organization that provides one-on-one and small group tutoring for K-12 students. Air Tutors uses live, online tutoring and an online platform that incorporates video conferencing and interactive whiteboards; recruits high-quality paid tutors with tutoring experience and engaging online personalities; and engages…

How do teachers account for homework-related inequalities? Our longitudinal ethnographic study reveals that, despite awareness of structural inequalities in their students' lives, elementary- and middle-school teachers' practices centered the myth of meritocracy. They treat struggles with math homework as products of students' and (particularly in…

This research focuses on the retention of students' algebraic understandings 1 year following a 3-year early algebra intervention. Participants included 1,455 Grade 6 students who had taken part in a cluster randomized trial in Grades 3-5. The results show that, as was the case at the end of Grades 3, 4, and 5, treatment students significantly…

This research focuses on the retention of students' algebraic understandings 1 year following a 3-year early algebra intervention. Participants included 1,455 Grade 6 students who had taken part in a cluster randomized trial in Grades 3-5. The results show that, as was the case at the end of Grades 3, 4, and 5, treatment students significantly…

Although it is common for researchers to assess implementation fidelity (IF) within the context of math intervention, IF assessments are often restricted to intervention adherence. Further, the degree to which IF influences observed outcomes is commonly ignored. The current study examined the relationship between three aspects of IF and the math…

This report examines which instructional components (e.g., visual representations, use of number lines, teaching and using of mathematical language) and study features (e.g., group size, interventionist training) may have contributed to the effectiveness of intervention. In choosing to focus on instructional components and study features, the…

Data from a large-scale math intervention program were used to evaluate the degree to which implementation fidelity (IF) and interventionist content knowledge were associated with student outcomes. Data were available for 33 interventionists serving 658 students in Grades 4-6 across one school year. A series of multilevel models were fit to the…

Lesson study cultivates teachers' capacity for formative assessment by placing student thinking front and center throughout. Lesson study is a form of professional development in which a team of teachers determines a mathematical focus, collaboratively studies student thinking about the topic, designs a lesson about this content, implements the…

Science, technology, engineering, and mathematics (STEM) enrichment programs can meet the needs of gifted students by providing an intellectual challenge, a motivated peer group, and skilled teachers. In the Saturday Enrichment Program (SEP), 40 students (Grades 4-8) explored challenging math topics not typically taught in their schools. Pre and…

This article describes two different projects using the stock market as a context for learning. For both projects, students "bought" shares in individual companies, tracked stock prices for a period of time, and then "sold" their shares at a gain or loss. The projects are adaptable for students in late elementary school through…

The goal of the present article is to synthesize findings to date from the Delaware Longitudinal Study of Fraction Learning. The study followed a large cohort of children (N = 536) between Grades 3 and 6. The findings showed that many students, especially those with diagnosed learning disabilities, made minimal growth in fraction knowledge and…