This study is part of a larger research program aimed at studying mental mathematics with objects other than numbers. It concerns operations on functions in a graphical environment with Grade-11 students. Grounded in the enactivist theory of cognition, particularly in problem-posing, the study aims to characterize students' mathematical activity…

While representations of 3D shapes are used in the teaching of geometry in lower secondary school, it is known that such representations can provide difficulties for students. In this paper, we report findings from a classroom experiment in which Grade 7 students (aged 12-13) tackled a problem in 3D geometry that was, for them, quite challenging.…

The purpose of this study is to thoroughly describe a program designed to strengthen the pipeline of Latino students into post-secondary science, technology, engineering, and mathematics (STEM) education, and present evaluation data to assess multiyear effectiveness. The program includes a suite of interventions aimed at students and families, and…

The aim of this study was to propose and validate a structural model in fraction and decimal number addition, which is founded primarily on a synthesis of major theoretical approaches in the field of representations in Mathematics and also on previous research on the learning of fractions and decimals. The study was conducted among 1,701 primary…

Mathematics is a subject which is often taught using abstract methods and processes. These methods by their very nature may for students alienate the relationship between Mathematics and real life situations. Further, these abstract methods and processes may disenfranchise students from becoming self-directed learners of Mathematics. A solution to…

This study aims to provide an account of phase three of the doctoral process where both students and teachers' views contribute to the design and development of a gesture-based game in Ireland at post-primary level. The research showed the school's policies influenced the supportive Information and Communication Technology (ICT) infrastructure,…

Teacher based is the usual instructional method used by most teachers in high school. Traditionally, teachers direct the learning and students work individually and assume a receptive role in their education. Student based learning approach is an instructional use of small groups of students working together to accomplish shared goals to increase…

Pre-service secondary mathematics teachers have a poor command of the exact language of mathematics as evidenced in assignments, micro-lessons and practicums. The unrelenting notorious annual South African National Senior Certificate outcomes in mathematics and the recognition by the Department of Basic Education (DBE) that the correct use of…

Although creativity plays a critical role in mathematics, it remains underestimated in the context of a mathematics classroom. This study aims to explore the views and differences creativity displays in prospective teachers and one of their lecturers with respect to the characteristics and practices of creative teachers and the characteristics of…

Research has proved that American students, as well as some adults, struggle with understanding fraction concepts and operations (Behr et al. 1992; NCES 2011). Having a solid understanding of this topic is important because fraction concepts are a foundation for many areas in secondary school mathematics, such as rate of change, rational…

Since 1986, Marilyn Vos Savant, who is listed in the "Guinness Book of World Records Hall of Fame" for the highest IQ, has had a weekly column that is published in "Parade Magazine." In this column, she answers readers' questions on a wide variety of subjects including mathematics and particularly probability. Many of the mathematically oriented…

This paper reports on a study of twelve 10th grade students using Cognitive Tutor, a math software program, to learn linear algebra word concept. The study's purpose was to examine whether students' mathematics performance as it is related to using Cognitive Tutor provided evidence to support Koedlinger's (2002) four instructional principles used…

Many schools are beginning to adopt one-to-one computing with the goal of developing students' 21st-century skills, which allow students not only to learn content but to acquire critical skills (e.g., creativity, collaboration, and digital literacy) that will lead to future careers. Technology offers teachers the ability to transform the quality…

In this paper we describe four Indian in-service middle school mathematics teachers' shifts in their roles with respect to the textbook. The shifts occurred through participation in collaborative investigation on the topic of integers in professional development meetings. Analysis of teachers' talk in these meetings indicated a shift in teachers'…

In this article, the authors examine the mathematics identity development of six Black male students over the course of a 4-year The Algebra Project Cohort Model (APCM) initiative. Mathematics identity here is defined as participation through interactions and positioning of self and others. Data collection included nearly 450 minutes of video…