This case study describes a Q methodology study which captured and analyzed the viewpoints of 45 UK teachers online. The teachers might liken their participation in the study to a "card sort" activity: their relative placement of statement cards revealed their opinions of mastery in mathematics. Factor analysis of the completed sorts…

Structure sense can be interpreted as an intuitive ability towards symbolic expressions, including skills to perceive, to interpret, and to manipulate symbols in different roles. This ability shows student algebraic proficiency in dealing with various symbolic expressions and is considered important to be mastered by secondary school students for…

Girls are less likely than boys to pursue a degree or career in a mathematics-based field. Girls tend to have higher grades and similar test scores when compared with boys. However, girls' affective beliefs, including confidence, fall behind those of their male counterparts. The purpose of this study was to understand how girls perceive the…

This case study highlights a high school math teacher's successful journey of taking the steps needed to move away from traditional teaching methods to innovative pedagogies supporting mastery-based teaching and learning. Mastery-based learning (also called competency-based learning) is a shift away from traditional, one-size-fits-all teaching.…

The purpose of this multi-case study was to discover the causes of low self-efficacy for math for a group of historically low-performing 7th grade students at a high-poverty urban middle school based upon Bandura's (1986) Social Cognitive Theory, specifically the concept of self-efficacy. Qualitative methods were used to collect data, including…

A learning center in the southeastern part of the United States used the Singapore mathematics curriculum (SMC) to support student learning of a wide range of mathematics skills. However, a study had yet to be conducted to gain an understanding about the administration and implementation of the program. This case study was conceptually based on…

Research and theory suggest several instructional practices that could enhance student self-efficacy. However, little is known about the ways these instructional practices interact with individual students to create opportunities or challenges for developing adaptive self-efficacy. In this study, we focused on two sources of efficacy, mastery…

Beliefs about teaching mathematics and urban students' ability to learn mathematics are often overlooked in the discourse on highly qualified teachers. Altering teacher experiences has the potential to change their beliefs. It was found in this qualitative case study that preservice teachers' beliefs about teaching mathematics to urban students…

The phenomenon of the "middle-years dip" in mathematics engagement and achievement has been a cause of concern for over a decade. This paper presents an example of one upper-primary classroom identified as having higher than average levels of student engagement, with the purpose of documenting specific teaching strategies that align with…