Two groups of mathematics faculty, one from a four-year college and one from a two-year college, redesigned their respective introductory college mathematics courses following presentation of observational data regarding how faculty had been teaching the courses. This presentation emphasised how infrequently faculty teaching introductory college…

This quantitative study investigated the relationship between ESOL co-teacher content certification and student achievement in secondary classrooms. The sample consisted of English Learners (ELs; N = 185) in a suburban district in Georgia. The study focused on three core content subjects: Algebra, Biology, and Economics. Content certification was…

Service-learning provides a versatile pedagogical platform that can improve the academic performance of participating students and open space for a discussion of issues of social justice within a mathematics classroom. We describe our Precalculus course with a service-learning component, in which university students regularly tutor algebra…

Algebraic thinking in children can bridge the cognitive gap between arithmetic and algebra. This quantitative study aimed to develop and test a cognitive model that examines the cognitive factors influencing algebraic thinking among Year Five pupils. A total of 720 Year Five pupils from randomly selected national schools in Malaysia participated…

We implemented a STEM task that highlights the engineering cycle and engages students in productive struggle. Students problem solved in productive ways and saw tangible benefits of revising their work to achieve mathematical goals.

This study investigated the ways in which college algebra students watch mathematics instructional videos about completing the square with the goal of identifying student responsibilities within a particular video and across different videos. Guided by the theory of didactic situations that has defined implicit teacher and student responsibilities…

Recent scholarship around teaching elementary mathematics supports the learning of early algebra with 5- to 12-year olds. However, in spite of the recognition of the affordances of early algebra, issues about how to introduce it remain open. Within this context, Davydov's work is often cited as a source of impressive demonstration of young…

Generalisation is a key feature of learning algebra, requiring all four proficiency strands of the Australian Curriculum: Mathematics (AC:M): Understanding, Fluency, Problem Solving and Reasoning. From a review of the literature, we propose a learning progression for algebraic generalisation consisting of five levels. Our learning progression is…

Purpose: Currently, in the education data use literature, there is a lack of research and examples that consider the early steps of filtering, organizing and visualizing data to inform decision-making. The purpose of this study is to describe how school leaders and researchers visualized and jointly made sense of data from a common learning…

Prior work exploring preschool-aged children's reasoning with repeating patterns has shown that patterning ability is an important predictor of math achievement; however, there is limited research exploring older children's growing pattern task performance. The current study tested whether presentation format impacts performance on growing pattern…

This paper drills deeper into the documented effects of the Cognitive Tutor Algebra I and ASSISTments intelligent tutoring systems by estimating their effects on specific problems. We start by describing a multilevel Rasch-type model that facilitates testing for differences in the effects between problems and precise problem-specific effect…

The purpose of this study was to examine the relationship between grit, mathematics self-efficacy, students' career interest in STEM, and student achievement in Algebra I. The study was intentional in examining the concepts of self-efficacy, achievement, and career interest as part of STEM education research. The research was completed during the…

Students at Century High School (CHS), a Catholic all-boys high school on Long Island, New York, who started ninth grade with Algebra 1 instead of Geometry demonstrated less obvious career interest in science, technology, engineering, and mathematics (STEM) and lower mathematics achievement, as typically evidenced by Iowa Tests of Educational…

This study was conducted to assess the students' level of abilities in solving algebraic word problems which is a main component in Science, Technology, Engineering and Mathematics (STEM). It also aims to determine the students' difficulties in solving these problems by using Newman's Model of Error Analysis (NMEA). Furthermore, this study was…

We conducted a study with introductory and upper-division level physics students in a Mexican and a Spanish university to learn how students recognize the main characteristics of the electric field in three of its more widely used representations, namely, algebraic notation, vector field plot, and electric field lines, and how the students do…