Educator preparation programs design their coursework and field experiences to help future teachers with knowledge, skills, and abilities to effectively teach mathematics. However, implementation of mathematical pedagogy and content has been seen as challenging for many school systems. Elementary and middle school teachers' experiences in their…

Mathematics teacher educators enact inquiry-based preparatory courses with the underlying expectation that their students (prospective teachers) will take ownership (authority) of their mathematical learning through sharing their ideas and collaboratively discussing the reasonableness of their shared ideas. Yet, prospective teachers' expectations…

Covariational reasoning is a cognitive activity that attends to two or more varying quantities and how their changes are related to each other. Previous studies indicate that covariational reasoning seems to have levels. Content analysis was used to examine the pedagogy and development of covariational reasoning levels in the sections that…

Sixty (35 girls) ninth graders were assessed on measures of algebraic reasoning and usage of visual and symbolic representations (with a prompt for visual use) to solve equations and inequalities. The study grouped visual representations into two categories: arithmetic-visual, which entailed the use of real-world objects to represent specific…

This study explores the relationships between students' perceptions of their teachers' and parents' attitudes toward them as learners of mathematics and mathematics and their attitudes related to mathematics learning through path analysis. Data was collected from 1,960 7th grade students enrolled in 19 public elementary schools in a city in…

Background: Fluency in mathematical language is essential for learning mathematics. Teachers must understand and use their diverse mathematical knowledge, including language and communication difficulties inherent to mathematics instruction. According to recent South African research, Grade 1 teachers are not equipped to utilise learners'…

Many studies on professionalization research deal with the question of how teachers actually learn or how teacher change occurs. In this context, Clarke and Hollingsworth (2002) describe a model for capturing teacher change in different domains (external, personal, domain of practice and domain of consequence) and how changes in one domain can…

We present a system for math placement and intervention that pairs ALEKS PPL with an online, standards-based "bridge" course designed to prepare students interested in STEM for PreCalculus. To determine the efficacy of this system we studied ALEKS PPL placement scores, bridge course grades, ALEKS concept mastery percentages, and…

Given the importance of mathematics performance of learners and the challenges in South Africa, it is important that the expertise of all role-players, including the subject advisors who visit the teachers to guide and support them, is used to its full potential. While some studies have explored the experiences of teachers in this regard,…

This study explored an emerging practice, online video coaching, which builds on the affordances of digital technology to allow coaches to work with geographically distant teachers. Content-focused mathematics coaching has proven successful in a face-to-face environment because of its personalized nature, long-term sustainability, and the…

Students in the United States continue to struggle with explaining math concepts or their solutions to math problems, despite knowing how to solve the problems. Compared to other nations, these students have been shown to perform lower in math on state tests, specifically on portions where they have to engage in mathematical writing. The research…

Purpose: This research aims to understand the learning with regard to didactic knowledge of an early childhood teacher who participated in a Lesson Study (LS) on the topic of patterns, as well as her perspective about LS as a teacher education process. Design/methodology/approach: This is a qualitative case study of an early childhood teacher who…

Function is a multifaceted and essential concept in mathematics that includes various complex ideas such as mapping, relations between variables, algebra, input-output, and rule. Pre-service mathematics teachers' (PMTs) should have a rich understanding of these ideas for their future teaching practices. However, research showed that PMTs had a…

The purposes of this study were to explore how a science teacher and a mathematics teacher collaborated for science and mathematics integration with the support of a researcher, to describe the process of planning and implementing integration and to understand the main issues considered by teachers during the process. Observational case study was…

The majority of children in mainstream (no fee, poorly resourced, African language dominant) public schools in South Africa fall significantly behind curricular norms in mathematics by Grade 3; the early learning gap grows across time. The provision of "quality" instructional materials is a well-recognised component of effective…