The present educational intervention study focused on addressing some areas of improvement in the teaching and learning of trigonometric ratios in high school students. A diagnostic evaluation was performed that revealed an instrumental understanding of trigonometric concepts by the students. Subsequently, a didactic sequence was implemented that…

Argumentative problem solving in mathematics classrooms is a crucial practice that supports important student learning goals via collaborative deliberation and consensus building, but also places substantial cognitive and affective demands on both students and teacher. In this in-depth qualitative study, we considered how students' emotions during…

Academically gifted students or high potential learners don't feel challenged in regular classrooms. Teachers in schools are also not quipped with pedagogical interventions to meet the advanced learning needs of gifted students. Mentoring is considered an effective method to guide, motivate and optimize learning abilities of gifted students. The…

In this paper, we demonstrate how atypical visual representations of a triangle, square or a parallelogram may hinder students' understanding of a median and altitude. We analyze responses and reasoning given by 16 preservice middle school teachers in a Geometry Connection class. Particularly, the data were garnered from three specific questions…

Mathematics education usually concentrates on achievement in cognitive domain. As the subject triggers many negative emotions among students, research in mathematics education needs attention on affective outcomes. Learning goals, perseverance, learning strategy and decision regarding future learning may influence students' affect. Students hold…

This study investigates whether the National Council of Teachers of Mathematics (NCTM) professional standards are appropriate for a two-year college developmental mathematics courses. The NCTM professional standards of worthwhile mathematical tasks, classroom discourse, and teacher reflection were all part of this preparatory mathematics course.…

This dissertation is embedded in a deconstruction of the field of Mathematics Education in order to reconstitute the mathematics student as a generative mathematical learner. The purpose of the dissertation is to understand how generative adolescent mathematical learners (GAMLs) maneuver through their mathematics courses while maintaining such a…

This report was part of the total scope of The Microcomputers and Middle School Problem Solving project. It employed representational models during problem solving in order to study: (1) observable patterns in self-directed use of representational models; (2) correlations between use of models and problem-solving ability; and (3) the motives of…

This document comprises four papers from a symposium on using an inquiry-based observation tool for assessing teaching and learning on various educational levels. The first paper, "Introduction, and Overview and Use of the Tool for K-12 Science, Mathematics, and Technology Program Evaluation" (M. Jean Young), presents an overview of the tool…

Recent calls for mathematics instruction reform recommend that a problem-solving inquiry-oriented (PSIO) classroom environment be established. Students, however, may view mathematics as a static, ruled-based discipline that runs counter to the PSIO approach. A study examined the student/teacher interactions as seen from the viewpoint of five…