Since policy changes in 2014 about who studies mathematics post-16 in England, the mathematics teaching workforce in further education (FE) colleges has grown and diversified. The question of how best to develop the professional practice of this changing workforce is, however, unresolved. Teachers in a recent national study report the benefits of…

This study investigates the support provided using technology for learning the notion of normal distribution in high school students through the implementation of a teaching experiment. A strategy was designed and implemented using Fathom software as the main teaching resource. Data analysis focused on the role of the use of technology in student…

Math anxiety, a lack of mathematics understanding and unproductive beliefs surrounding mathematics have the potential to cause math teaching anxiety in pre-service elementary teachers. This study sought to investigate the causes of math anxiety in pre-service elementary teachers and develop a course sequence to address those causes, thereby…

The purpose of this qualitative descriptive study was to describe the role parents play and the support they need to better help their child with Common Core math homework, using a sample of parents from Arizona K-8 schools. Epstein's model of parental involvement provided the conceptual framework for this study, with a specific focus on the help…

The need for focused small group math instruction has never been greater. Today's education landscape continues to be fraught with learning divides, and unlike its reading counterpart, small group instruction in elementary classrooms has often been reduced to learning centers and rotation stations, without enough emphasis on differentiated,…

Majestic County Schools (pseudonym), a large southeastern school district, has implemented changes in instruction to align with more rigorous state and national mathematics standards. The rigor of the new standards has led to changes in instruction to help students master the standards with evidence from the state-wide standardized test. Although…

The purpose of the study was to observe the understanding and motivation of second-grade Tier III students' achievement in skip-counting patterns by implementing music and non-music learning activities. The case study was performed using a qualitative design. A pretest-posttest and repeated measures design was used to analyze and triangulate the…

This dissertation reports on three studies about students' conceptions and learning of the idea of instantaneous rate of change. The first study investigated 25 students' conceptions of the idea of instantaneous rate of change. The second study proposes a hypothetical learning trajectory, based on the literature and results from the first study,…

This paper presents an initial analysis of 10 Preschool children's responses to a look-draw-trace-draw task. The findings suggest that figure-tracing helped half the children to produce a more accurate representation of the geometric figure presented to them, in their second drawing.

This conceptual paper discusses two frameworks, developed independently by the lead author, that will provide the conceptual foundation for the identification and evaluation of mental computation strategies students demonstrate during an upcoming research project entitled Mental Computation in Year 5. These frameworks will be used by the lead…

Place value is one of the 'big ideas' in number and plays a critical role in helping students develop their number sense, problem solving and computation skills. Yet, the elegant simplicity of our place value system belies the abstract nature of the construct. This paper presents data from 606 Year 3-6 students (ages 8-12) from two metropolitan…

For California's community colleges, fall 2019 marked the deadline for implementing the state's historic developmental education legislation, Assembly Bill 705 (Irwin 2017). AB 705 drove transformative changes in community college math and English programs as colleges implemented research-based placement policies designed to maximize students'…

For fans of the bestselling book "The Formative 5: Everyday Assessment Techniques for Every Math Classroom" comes this updated and expanded edition for understanding and implementing highly effective, research-backed formative assessment techniques into seamless, daily practice with students in grades K-12. "The Formative 5 in…

Professional development (PD) courses are the main context for mathematics teachers' lifelong learning. Leaders with expertise are needed to facilitate these courses; thus, there is a growing interest in understanding the nature of this profession, its core practices, and the challenges it entails. This paper focuses on a specific group of…

The current meta-analysis quantifies the average effect of worked examples on mathematics performance from elementary grades to postsecondary settings and to assess what moderates this effect. Though thousands of worked examples studies have been conducted to date, a corresponding meta-analysis has yet to be published. Exclusionary coding was…