"Mathematical Thinking: From Assessment Items to Challenging Tasks" is a compilation of 36 problem-based lessons that encourage students to engage in productive struggle and deep thinking. Its 36 full-length lessons for grades 2-8 are each inspired by an actual test item from the National Assessment of Educational Progress (NAEP).…

One of the primary goals of teacher education is to aid preservice candidates in formulating a personal philosophy of teaching that is research-based. Teacher candidates should recognize that their philosophy of teaching and learning must be grounded in research-affirmed theory, certain dimensions of which (e.g., motivation) are critical to…

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…

The 2015-16 Civil Rights Data Collection (CRDC) is a survey of all public schools and school districts in the United States. The CRDC measures student access to courses, programs, staff, and resources that impact education equity and opportunity for students. The CRDC has long provided critical information used by the Department of Education's…

Yosso's community cultural wealth (CCW) shifted conversations about educational inequality from deficit perspectives to those that acknowledge the assets People of Color bring to school. CCW represents the accumulation of students' unique forms of capital, many of which have historically gone unrecognized by schools. This study applies CCW to the…

Mathematical problem solving typically involves manipulating visual symbols (e.g., equations), and prior research suggests that those symbols serve as diagrammatic representations (e.g., Landy & Goldstone, 2010). The present work examines the ways that instructional design of student engagement with these diagrammatic representations may…

This paper reports on the performance of 167 eighth graders in Singapore making generalisations for a quadratic figural pattern presented in a non-successive format. Data were collected through administering a written test in which the students had to establish the functional rule underpinning the pattern. The findings revealed that the students…

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…

From a fallibilist perspective, mathematics gradually develops with problems, conjectures, proofs, and refutations. To attain such authentic mathematical learning, it is important to intentionally treat refutation in mathematics classrooms, such as facing or proposing counterexamples and coping with them. In particular, analysing students'…

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…

In this report we further develop the notion of knowledge agent and analyse knowledge agency in an 8th grade mathematics classroom learning probability. By knowledge agency we mean the many ways and variations in which knowledge agents act. We also observe the teacher as an orchestrator of the learning process who as such invests efforts to create…

This article seeks to advance the knowledge base providing equitable education to all children vis-à-vis a more diverse teaching staff. To that end, this article explores what is known about how individuals' racial identity influences their decision to enter the teaching profession. Based on a yearlong study conducted in a large school district…

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…

"ACCESS", A Culture Creating Effective Systems for Success, was a three-year Investing in Innovation (i3) development grant funded by the Office of Innovation and Improvement, U.S. Department of Education. The "ACCESS" grant led the way for a district-wide redesign of educational practices based on the novel approach of…