An Australian longitudinal study of 319 Kindergartners developed, implemented and evaluated an intervention, the Pattern and Structure Mathematics Awareness Program (PASMAP). It comprised of repetitions and growing patterns, structured counting and grouping, grids and shapes, partitioning, additive and multiplicative structures, measurement and…

Understanding students' readiness for precalculus and calculus at the community college level is critical not only because of the key role community colleges play in higher education but also because calculus remains a gateway course for students in advancing to higher level mathematics. The Algebra and Precalculus Concept Readiness Assessment for…

This article uses action-process-object-schema theory to study the mental constructions about the limit of series during a Calculus 1 course at a university. The researchers also used the theory's teaching methodology to teach the topic. A plethora of research on the limit concept is available and suggests that the concept is on record as being…

Mathematics is presented in non-STEM disciplines as a subject that helps students acquire tools they will need in their future careers. Therefore, the need for instruction in mathematics demands content, oriented not only towards fundamental principles and techniques, but also towards their application in a specific context. By directing the…

This paper leverages an intrinsic approach to the conception of mathematical knowledge for teaching (MKT) to show how it can be used to examine teachers' MKT. In this qualitative study, I interviewed eight practicing teachers using tasks designed to generate data regarding their (a) personal interpretations of slope, (b) understanding of how…

Mathematical learning is to produce a high competence individual with multiple skills in line with the needs of the 21st century. However, mathematical education is still plagued with problem of mastery of mathematical concepts. In addressing this problem, various initiatives and interventions need to be implemented to ensure that mathematical…

Two-hour long developmental teaching interviews were conducted with each of 14 sixth grade students, ages 11-12. The purposes of the interviews were to investigate how students solved arrangement problems (APs), and how their solutions of these problems differed from their solution of Cartesian product problems (CPPs). The 14 students represented…

The work deals with the study of the roots of the characteristic polynomial derived from the Leonardo sequence, using the Newton fractal to perform a root search. Thus, Google Colab is used as a computational tool to facilitate this process. Initially, we conducted a study of the Leonardo sequence, addressing it fundamental recurrence,…

In this article we review the impact the design and implementation of an intensive programme that explores mathematical concepts through voice and movement has, to complement the previous work carried out in the core area of mathematics in early childhood education. An extensive body of research related to nonmusical outcomes and the benefits of…

Students show deficient understanding on fraction division and supporting that understanding remains a challenge for mathematics educators. This article aims to describe primary students' understanding of partitive fraction division (PFD) and explore ways to support their understanding through the use of sequenced fractions and context-related…

Researchers have identified students' difficulties reasoning about inverse functions. Through our review of this literature, three meanings stand out: a formal, 'undoing', and quantitative meaning. Using these meanings as a guide, we analyzed student work collected from a lesson on the topic of inverse functions taught by an experienced high…

In this paper, we present our perspective about the importance of teaching Gödel's incompleteness theorem in formation courses to mathematics teacher. The phenomenon of incompleteness evidenced by the incompleteness theorem is manifested by the existence of true propositions about natural numbers that cannot be proved by any metamathematical…

School counselors are uniquely trained and positioned within schools to use data for the purpose of addressing opportunity and achievement gaps present in many schools. Even with this position, the literature for school counseling remains focused on reasons to use data rather than how to use data within a school counseling program. This study…

The ways teachers understand mathematics that is useful for teaching, known as mathematical knowledge for teaching (MKT), has been a center of attention for the research and policy communities. A teacher's MKT has been shown to be a significant factor in predicting student outcomes and positively related to the quality of mathematics instructional…

There is evidence that student attitudes towards mathematics become more negative as students move through their schooling. However, less is known about the different factors that shape student attitudes at various stages. This qualitative study sought to shed light on this issue and consider how stage of schooling influenced self-perceived…