The following study shows how reparameterizations and constraints of the general linear model can serve to parse quantitative and qualitative aspects of predictors. We demonstrate three different approaches. The study uses data from the High School Longitudinal Study of 2009 on mathematics course-taking and achievement as an example. Results show…

This study examined the effect of comprehension strategy instruction on third-grade English Learners' word-problem-solving performance. The supplemental intervention included modeling how to read the word problem to identify and restate the question, distinguishing relevant from irrelevant information, and collaborating with peers on applying the…

This study aims to explore the effectiveness of collaboration between the Teaching at the Right Level (TaRL) approach and the problem-based learning (PBL) model in improving student learning outcomes at junior high school and senior high school levels. TaRL is a method that emphasizes learning tailored to students' individual ability levels, while…

This is an empirical, ethnographic study about middle school students' mathematical joy in a formal math classroom. This study is situated in a year-long Research Practice Partnership with 6th grade mathematics teacher and 21 students in her 3rd block class. Through this collaboration, the teacher and I sought to design tasks to support students'…

The present study was conducted to determine how implementing computational thinking (via a proxy in AP Computer Science Principles) into a school's curriculum impacted student proficiency rates on the New York State Geometry Regents. Recent research has suggested that computational thinking is a skill that transcends specific content areas and…

Children and young people live in a world that is constantly changing. In order to master their lives successfully, they will need many skills and competences. These include mathematical competences, which they should build up from primary school age. This article deals with the question of how mathematics lessons should be designed in order to…

Perceptual learning theory suggests that perceptual grouping in mathematical expressions can direct students' attention toward specific parts of problems, thus impacting their mathematical reasoning. Using in-lab eye tracking and a sample of 85 undergraduates from a STEM-focused university, we investigated how higher-order operator position (HOO;…

This dissertation looks at the impact of instructional leadership in mathematics teaching on teachers at various stages in their careers. Using a case study methodology, the researcher explores the nuanced needs and effective strategies for beginning, mid-career, and established teachers. Peer instructional leaders provided data that involved a…

Learners of mathematics who are linguistically disadvantaged for a variety of reasons, including impoverished socioeconomic status, continue to be educationally disadvantaged and at considerable risk of school failure and early dropout. This is the case in many parts of the world. While much has been researched on linguistically disadvantaged…

We present a case study of proving by three 12-13-year-old students with different levels of mathematical giftedness. After analysing students' proofs, we conclude that: there was a relation on the consistency and the students' levels of mathematically giftedness, being the least consistent the student not mathematically gifted and the most…

Numerical sequences are one of the mathematical subjects linked to everyday life, and are taught at several levels in Morocco. However, many students still had difficulty teaching this subject, more specifically the limits of numerical sequences and the nature of convergence. The aim of this study was to analyse the learning difficulties of…

Reform efforts in science and mathematics education highlight students' experiences and sensemaking repertoires as valuable resources for instruction. Yet, there is much to learn about how to cultivate teachers' capacity for eliciting, understanding, and responding to students' contributions. We argue that the first step of this cultivation is…

This paper aims to study the effects that asynchronous and synchronous instructional methods have on student perceptions and attitudes towards online education. We analyze both qualitative and quantitative survey responses from 496 students in three large (greater than 200 enrolled students) first-year calculus classes at the University of Guelph.…

South African learners' performance in mathematics, both locally and internationally, has raised significant concerns, particularly in the realm of algebra. To address this issue, a mixed-methods study was conducted to explore the effectiveness of using algebra tiles to teach algebraic expressions. The study aimed to investigate algebraic…

Although student covariation reasoning has been explored in depth to improve understanding of the correspondence between variables, research has focused on studying existing reasoning about variables in Cartesian representations. The working method had a qualitative approach, with a descriptive exploratory scope, the spontaneous representations…