The goal of this paper is twofold. First, the paper clarifies and elaborates on an important theoretical construct called orientation with respect to understanding in mathematics, which denotes the degree to which students exhibit an inclination towards and demonstrate an earnest concern for understanding in mathematical learning. Second, the…

The Philippines has undergone a fundamental overhaul of its educational system to highlight basic education and overcome its deficiencies. The educational reform prompts prospective teachers to connect the concepts taught to instill a more profound understanding. As such, the researchers explored the mathematical connections made by prospective…

This study focuses on proportional division, a specific problem type of proportions and proportional relationships, which embeds a part-part-whole relationship. We investigated how students in grades 6 to 9 solved and perceived three proportional division problems. Analysis of the students' performance on the tasks revealed three types of…

Student insight into algebraic formulas, including the ability to identify the structure of a formula and its components and to reason with and about formulas, is an issue in mathematics education. In this study, we investigated how 16- and 17-year-old pre-university students' insight into algebraic formulas can be promoted through graphing…

This paper aimed to investigate secondary school students' representations for solving geometric word problems in different clinical interviewing processes. More specifically, the focus was to understand the changes/developments in students' representations through think-aloud interviews (TAIs) and open-ended prompting interviews (OEPIs). Three…

This study investigated how a high school literacy coach provided coaching to support teachers' understanding and implementation of disciplinary literacy instruction. With a focus on collaborations between the literacy coach and teachers in the disciplines of social studies, math, and English, this article presents three case studies that…

Many preservice teacher (PST) programs throughout the world are preparing students to implement the Core Standards, which require deeper conceptual understandings of mathematics and an informed approach for teaching. In this qualitative multi-case study, researchers explored the teaching methods for two university instructors and changes in PSTs…

In the generative classroom, teachers provide well-designed learning environments that result in the combination, recombination, and reorganization of repertoires such that new untaught repertoires are likely to occur. One component that can contribute to such generativity is Precision Teaching (PT), a frequency building instructional…

Employing mixed-method approach, this case study examined the in situ use of educational computer games in a summer math program to facilitate 4th and 5th graders' cognitive math achievement, metacognitive awareness, and positive attitudes toward math learning. The results indicated that students developed more positive attitudes toward math…

Introduction: Despite all the emphasis on metacognition, researchers currently use different techniques to assess metacognition. The purpose of this contribution is to help to clarify some of the paradigms on the evaluation of metacognition. In addition the paper reviews studies aiming to improve the learning process through metacognition. Method:…

Parents (n=148) and their children, ages 9 and 10, were brought together to participate in a Family Math program in Ontario. This program helped promote positive attitudes toward mathematics in parents and children and increased parents' understanding of current methods of teaching mathematics. (MKR)

Recent research has focused on how prospective teachers formulate beliefs related to teaching and learning mathematics and science. This paper examines the use of videotaped mathematics and science lesson segments to aid in the description or identification of initial belief structures of prospective elementary school teachers. Using a…