This study explores university students' understanding of the relationships between formal definitions of the limit of a function and the limit of a sequence in terms of the accumulation point in a technology-enhanced collaborative learning environment. The participants of this study are 17 prospective mathematics teachers. The data are collected…

Understanding the cognitive processes central to mathematical development is crucial to addressing systemic inequities in math achievement. We investigate the "Groupitizing" ability in 1209 third to eighth graders (mean age at first timepoint = 10.48, 586 girls, 39.16% Asian, 28.88% Hispanic/Latino, 18.51% White), a process that captures…

Various studies have concluded that many students have difficulty understanding concepts related to function derivatives. One of the concepts in function derivatives is higher-order derivatives, primarily the nth derivative pattern. This study aims to: (1) identify various types of learning obstacles experienced by prospective mathematics teacher…

At the commencement of 2022 there was an opportunity to be engaged in a curriculum development project focused on reimagining mathematics learning in primary schools. Schools were seeking new experiences to support engaging students and teachers in mathematics learning. Laburnum Primary School participated in the project with Monash University,…

This paper examines the conceptions of 'number sense' as promoted in pre-service primary mathematics education courses at 11 South African Higher Education Institutions through the texts used by academics or prescribed for students. While all the participating institutions agree that the development of primary school learners' 'number sense' is…

Background: Prior work has shown that middle school students struggle with algebra and that game-based educational technologies, such as DragonBox and From Here to There!, are effective at improving students' algebraic performance. However, it remains unclear which aspects of algebraic knowledge shift as a result of playing these games and what…

Past research has identified factors that help maintain the cognitive demand of tasks, including "drawing conceptual connections." We investigated whether teachers who were engaging in the teaching practice of "building"--and thus focusing the class on collaboratively making sense of their peers' high-leverage mathematical…

Educators, researchers, and policy makers recognize that student participation in classroom mathematics conversations, especially explaining one's own thinking and engaging with others' ideas, can promote students' mathematics learning. However, precisely "how" participating in these ways supports learning has not often been examined in…

This study is an attempt to design and develop as well as validate sets of Online Instructional Materials in Mathematics VI at selected elementary schools in DCS, Manila, specifically, focused on the study of Geometry and Measurement. Using both documentary analysis and descriptive method of study, two (2) major groups of respondents were chosen…

Many students arrive at colleges and universities underprepared for college-level mathematics courses. In the United States, these students are required to complete developmental mathematics courses before completing the required mathematics courses for their degrees. Students who are required to take developmental mathematics courses frequently…

While contemporary mathematics education literature argues that curricular resources, such as textbooks, play a significant role guiding mathematics teachers in what and how they teach, it also shows that these resources often do not do what they say they will do, nor adhere to the standards they claim to further. When it comes to the most…

For Freudenthal, the practice of mathematics in the curriculum is not a set of predetermined theories, goals and means. On the contrary, it is always associated with positively understood phenomenological processes in mathematics, as the curriculum is often used in conjunction with the transformation or development of practice. For Freudenthal…

Statistics need data and data need context. Contexts from across the curriculum can be the most powerful in creating interest, reward, and enthusiasm for both teachers and students. The activity described here is based in STEM, employing aspects of each field to create and solve a hypothetical problem of escaping from an erupting volcano (Science)…

Some researchers in mathematics education have studied the decisions professors make during classroom context activities. These decisions are explained by several factors: 1) how professors conceive the structure of mathematics; 2) what they know about the mathematical content; and, 3) what they consider the best didactic strategies to improve…

A qualitative case study research design was used to examine American female elementary students' perceptions about mathematics before and after participating in a math practices workshop designed specifically for females. The workshop sought to address perceived barriers to learning math by applying math concepts to real-life situations while…