Multiple representations of a given mathematical object/concept are one of the biggest difficulties encountered by students. The aim of this study is to investigate the impact of the use of visual representations in teaching and learning algebra. In this paper, we analyze the transformations from and to visual representations that were performed…

The purpose of this action based, qualitative methods case study was to evaluate, in collaboration of the researcher with a participant faculty member, the effectiveness of "The STEM Careers Intervention Series", a prescribed set of worksheets and videos purposefully designed to recruit students from community colleges to STEM fields.…

This study investigated the cognitive factors that impact the completion of mathematics problems, specifically algebraic-reasoning, by individuals who use tactile materials (i.e., braille) compared to those who use print materials. The inquiry investigated working memory, task time, cognitive load, efficiency, and the predictive quality of…

In an effort to make math courses more relevant and improve success rates in college math, various organizations and colleges developed a new model of math education that has come to be called "math pathways." Math pathways enable students to take different paths through the math curriculum, depending on their course of study. With math…

This dissertation describes an empirical study that investigated how metacognitive training influenced lower achieving Algebra students' calibration accuracy, achievement, and development of mathematics literacy. Multiple methods were used to collect and analyze the data. Close analysis of students' work and classroom observations revealed that…

In this chapter, we discuss the algebra framework that guides our work and how this framework was enacted in the design of a curricular approach for systematically developing elementary-aged students' algebraic thinking. We provide evidence that, using this approach, students in elementary grades can engage in sophisticated practices of algebraic…

The "Reasoning Algebraically about Operations Casebook" was developed as the key resource for participants' Developing Mathematical Ideas seminar experience. The thirty-four cases, written by teachers describing real situations and actual student thinking in their classrooms, provide the basis of each session's investigation into the…

Growing from the commognitive framework, this study is concerned with objectification -- a special way of talking about mathematical objects, which is key to one's concept formation. The study explores how objectification can be manifested in the discourse on square roots that unfolds in writing. The data comes from a class in a foundation…

In electromagnetism, to determine the direction of the electromagnetic force and magnetic field, the right-hand rule (RHR) is used. Previous researches show that students have difficulty in applying the RHR. This research is aimed to find out the factors which make it difficult for the students to apply the RHR. To achieve this, qualitative case…

Pass rates in community college entry-level math courses are a national crisis. The current study adapted a utility-value intervention from Hulleman and Harackiewicz (2009) to facilitate student success in community college math. In a double-blind experimental study (n = 180), we found a significant effect of the intervention on student pass…

Geogebra is software designed to solve geometry, calculus and algebra material as well as applications for designing spaces and buildings. The purpose of this research is to produce teaching material products through Geogebra software in mathematics courses that can be utilized in learning. The stages in this research include: (1) the stage of…

Embodied mathematics activities involve students engaging in physical actions to help them better understand mathematics concepts. Current research shows these types of activities have great potential to help students develop conceptual understanding. The authors present four principles for designing embodied mathematics activities and give…

Active learning techniques, such as peer instruction and group work, have been gaining a lot of traction in universities. Taking a natural next step in re-evaluating current practices, many institutions recently started experimenting student-centred group exams. In order to assess the feasibility and effectiveness of collaborative assessments, we…

Students with autism spectrum disorders (ASD) are included more frequently in general education, and are increasingly expected to access and master core curricular content, including mathematics. However, mathematics often presents challenges to students with ASD. Studies on instructional interventions in mathematics for students with ASD are also…

The paper describes one problem solving strategy -- the Use of false assumption. The objective of the paper is to show, in accordance with Phylogenesis and Ontogenesis Theory, that it is worthwhile to reiterate the process of development of the concept of a variable and thus provide to pupils one of the ways helping them to eliminate usual…