Young children's early repeating patterning abilities are important foundations for their later mathematical development. Prior studies on young children's repeating patterning abilities have been conducted exclusively in developed countries differing in economic, societal, and educational characteristics from developing countries. In this study,…

We present results of a research developed with first semester students from a Colombian Public University based on classroom intervention in a precalculus laboratory course mediated by an interactive mathematical software. We characterize and exemplify the cognitive skills of explanation, justification, argumentation and validation, using a…

Purpose: "Good thinking" has become very important in today's world. A good thinker should have critical thinking skills as well as critical thinking virtues. Some researchers stated that teaching critical thinking within certain disciplines and subject areas would significantly contribute to the development of students as strong…

In this paper, we share the results of the piloting of national diagnostic assessments for strategic calculation with Grade 3 learners in South Africa. The diagnostic assessment pilot intervention was focused on promoting strategic use of calculation strategies and aimed to move learners on from the concrete one-to-one counting methods that…

The goal of this study is to have a better understanding of today's general education development (GED) students so proper services and support can be provided to meet their needs. Through students enrolled in GED programs in a health science career pathway--focused city college, the study learned the students' employment status, career intention,…

The purpose of this study was to investigate the bibliometric analysis of number sense studies over the past 30 years and monitor the trend regarding the nomological network accordingly. All the published articles in Web of Science database, containing the term number sense between 1990 and 2019, constituted the focus of the study. In the analysis…

In this research we investigate how mathematics teachers, as graduate students, estimate the value of [pi] by exploring the problem of "squaring the circle" using digital technology. Initially, we mention some aspects of teaching and learning of calculus in the literature, emphasizing studies that use the notion of humans-with-media to…

This paper presents partial results of a one-year project funded by a grant from Mexico's National Science and Technology Council and the National Institute for the Evaluation of Education that was designed to characterize the teaching of statistics in Mexican high school education. Work was organized in two 6-month phases. The first stage…

If the ranking of students is based on grade scores independent of the selected college or university, it is critical to have an equal national measurement standard. It is a challenge to ensure this if there is a substantial difference in the composition of the students and enrolment requirements among colleges. Based on three different types of…

There is a considerable body of research on children's number knowledge development, and in particular on children ages 4 years and older and who have some counting experience. Children in early care preschool settings (ages 2 and 3) and who are not yet experienced counters are an understudied population. We conducted a multiple-case study on five…

The research aimed to analyze the students' abilities in solving realistic mathematics problems using "What-If"-Ethnomathematics Instruments with content focused on plane and space materials. The "What-If"-Ethnomathematics instruments are instruments that enable educators to analyze various errors and obstacles experienced by…

An important step in learning to use math in science is learning to see symbolic equations not just as calculational tools, but as ways of expressing fundamental relationships among physical quantities, of coding conceptual information, and of organizing physics knowledge structures. In this paper, I propose "anchor equations" as a…

Rational Numbers is an essential topic in mathematics since it necessitates the learning progression of more advanced topics. Nevertheless, previous literature shows that students are having difficulties in understanding the topic for numerous reasons. The inability of teachers in providing good examples during teaching is identified as one of the…

Children possess different levels of mathematical skills when they begin their formal education. The home environment perhaps holds the key to such disparate maths skills in children's in early years. The aim of this study is to examine home maths activities and mothers' maths talk as the predictors of children's maths talk and early maths skills.…

This article focuses specifically on the inclusion of meaningful (but potentially messy) real-world mathematics tasks in the middle school classroom. Real-world tasks provide students with learning opportunities allowing mathematics to be used to understand the world, strengthen mathematical knowledge, and offer opportunities for students to use…