Many mathematics departments have transition to proof (TTP) courses, which prepare undergraduate students for proof-oriented mathematics. Here we discuss how common TTP textbooks connect three topics ubiquitous to such courses: logic, proof techniques, and sets. In particular, we were motivated by recent research showing that focusing on sets is…

This study used task-based interviews to examine students' reasoning about multivariable optimization problems in a volume maximization context. There are four major findings from this study. First, formulating the objective function (i.e. the function whose maximum or minimum value(s) is to be found) in each task came easily for 15 students who…

Developmental education (dev-ed) aims to help students acquire knowledge and skills necessary to succeed in college-level coursework. The traditional prerequisite approach to postsecondary dev-ed--where students take remedial courses that do not count toward a credential--appears to stymie progress toward a degree. At community colleges across the…

The aim of this study is twofold: to determine which knowledge type (procedural or conceptual) is predominant in basic mathematics topics among preservice primary mathematics teachers and the relation between these knowledge types. The study group consisted of 97 freshmen studying at Primary Mathematics Teaching Department. Case study method was…

The student profile has become an important component of education systems. Many systems objectives, as e-recommendation, e-orientation, e-recruitment and dropout prediction are essentially based on the profile for decision support. Machine learning plays an important role in this context and several studies have been carried out either for…

This article describes research on the use of a differentiated approach in assessing students' academic achievements during mathematics lessons. The study used theoretical and empirical research methods. In particular, normative documents and scholarly literature were reviewed, and in 2021, the study conducted a survey of online mathematics…

The aim of the current study was to investigate whether exposing teachers to theoretical and empirical background information regarding pedagogical aspects of geometrical thinking would affect their noticing abilities. Forty-one in-service Mathematics teachers participated in this study. The research tools used in the study included a lesson taken…

The current study investigates the effects of a fact family fluency intervention on math facts fluency and quantitative reasoning. Sixty-three students in Grades 5-8 participated in the study, including 14 students receiving special education services and 15 students receiving additional support. The researchers employed a quasi-experimental,…

The interplay between mathematics teachers' beliefs and practices has been widely investigated and research has examined how teachers' beliefs about mathematics, teaching and learning change when participating in continuing professional development (CPD). In this paper, I track teachers' self-reported beliefs and practice changes as they…

This study lies within the field of early-age algebraic thinking and focuses on describing the functional thinking exhibited by six sixth-graders (11- to 12-year-olds) enrolled in a curricular enhancement program. To accomplish the goals of this research, the structures the students established and the representations they used to express the…

In this article the authors describe how standard textbook questions can be turned into open questions to promote problem solving and reasoning. Six example solutions are given to one problem showing how an open problem can cater to the diversity of students in your class.

Mathematics is an important subject that plays a crucial role in constructing mental discipline among students. There has been a great focus on investigating students' attitudes toward mathematics in higher education settings. The current study is aiming to explore the factors that affect attitudes toward math among higher education students in…

Mathematics Challenge for Young Australians is a unique enrichment program that has been produced annually by the Australian Mathematics Trust since 1991. In its present form, it is divided into four levels and caters for talented students from years 3 to 10. In a typical year, it attracts over 15,000 entries. Individual schools arrange a period…

In this paper, we present a novel solution of the quadrature of a parabola based on application of Ramanujan's formula for the partial sum of the square roots of the first "n" natural numbers. We also derive a new formula for calculating of area of a parabolic segment and we apply the result to a generalization of some classical theorems…

Background: Teacher turnover is a dire and chronic problem for many education systems across the globe. According to UNESCO, 70% of teachers will be replaced by 2030. This study investigates the relationship between the retention of science and mathematics teachers and factors related to human, social, structural, and positive psychological…