This paper investigates the expectations that a group of preservice secondary mathematics teachers had for how students would approach four particular algebra problems. Their responses to a set of open-ended items were content analysed. Findings show that the teachers ranged in the expectations that they held for their students. Some teachers…

Students' problem-solving success depends on more than their knowledge and abilities. One factor that may play a role is the teacher's expectations of students. The current study focused on how a teacher's explicitly-stated expectations influence students' ability to learn from corrective feedback during problem solving. On the one hand, setting…

Background/Context: Kindergarten mathematics instruction is critical for students' future academic success. The nature and quality of this instruction may vary depending on classroom characteristics. However, little empirical work has examined how mathematics instruction in kindergarten might differ based on classroom performance levels. Purpose,…

This article presents a reflection tool--created by The New Teacher Project (TNTP) and Learning Forward--for shifting the cognitive load to students from teachers so that students are actively engaged, use critical thinking, and demonstrate understanding. Coaches, teacher leaders, and other professional learning leaders can use this tool in…

We present findings from a study about obstacles that Black students who succeeded in developmental mathematics in community college reported having endured in those mathematics classrooms. To understand the types of obstacles that can arise for students in these classrooms, we analyze data using two frameworks: mathematics identity and dimensions…

Research on mathematical modeling is growing rapidly in the field of mathematics education, and there are numerous benefits of engaging students in modeling activities. However, mathematical modeling is still marginalized in mathematics instruction. In order to understand the challenges and obstacles secondary teachers face to incorporate modeling…

Project BRIDGE was launched as a response to the underrepresentation of English learners in gifted education. Through Project BRIDGE, high-ability English learners were able to access the same rigorous academic content as their native English-speaking peers. The present study compared intervention and comparison teachers' instructional behaviors…

Intelligence is not fixed. While many of us may not be innately talented in all areas of learning, all of us are capable of learning anything. It is important that teachers help communicate this concept to students and help students to develop this growth mindset. This article first compares growth and fixed mindsets, discussing some of the…

The National Council of Teachers of Mathematics (NCTM) has called on teachers to create supportive and equitable classroom environments, to steadfastly advocate that all students can learn mathematics, to hold high expectations for all students and to adopt practices that offer students the opportunity to excel (NCTM 2014). The overarching aim of…

Restorative justice is a non-punitive form of discipline and is applied in educational settings to address discipline disparities. This qualitative descriptive single case study explored how high school teachers describe restorative justice practices as an influence on the behavior of Hispanic students in an urban high school in Iowa. Data were…

At large research universities, physics graduate teaching assistants (TAs) are often responsible for grading in courses at all levels. However, few studies have focused on TAs' grading practices in introductory and advanced physics courses. This study was designed to investigate whether physics graduate TAs grade students in introductory physics…

This study focuses on the teachers' predictions of the students' performances -- in particular the middle-low achievers -- while solving tasks testing inquiry competencies. The tasks come from PISA science. More specifically we study science teachers' predictions for several aspects: levels of difficulty of the tasks, the potential sources of…

The study explores how teachers perceive and go about students' thinking in connection to particular mathematical content and how they frame the notion of applied mathematics in their own classrooms. Teachers' narratives are built around two released PISA 2012 mathematics items, the 'Drip rate' and 'Climbing Mount Fuji' (will be referred to as the…

One of the primary expectations that the author has for her students is for them to develop greater independence when solving complex and unique mathematical problems. The story of how the author supports her students as they gain confidence and independence with complex and unique problem-solving tasks, while honoring their expectations with…

Teachers' perceptions of students' capabilities are particularly important in efforts to support ambitious instructional reforms. In this paper, we explore one teacher's efforts to resolve conflicts and tensions as she engages with new practices associated with ambitious mathematics teaching. While many conflicts arose in the first year of the…