Discrete time models, one linear and one non-linear, are investigated, both with a herbivore species that consumes a basal food source species. Results are presented for coexistence of the species and to illustrate chaotic behaviour as parameters are varied in the non-linear model. The results indicate the benefit of fertilization in terms of the…

This study used the RBC+C model to reveal the abstractions of the 6th-grade students in the process of transition to the parallelogram area formula. Also, constructing parallelogram area information was employed as a teaching experiment based on the basic interpretive approach, one of the qualitative research methods. The study participants…

Although researchers recognize the importance of discussing support for math learning within online learning communities, there is a lack of relevant network classifying methods and analyses at the group level to understand the behavioral differences between groups with varying levels of activity, including their mathematical literacies. In this…

Relying on the students' cultural background to teach mathematics may be a strong incitement for the learning process. This background can include artistic creations, items from the news, among others. Because of the strong presence of space related news (in particular the almost simultaneous launching of three spacecrafts towards Mars), we…

How heavy is your pet "Tyrannosaurus rex"? Accurately ascertaining the mass of a large carnivorous dinosaur is a challenging task for most students. Here, a simple method using model dinosaurs and some straightforward mathematics is provided. This is considerably more practical and safer than weighing the living dinosaur itself.

SCAMPER is an acronym that stands for Substitute, Combine, Adapt, Modify, Put to Another Use, Eliminate, and Rearrange (Eberle 1972). Each word in the acronym is related to a question stem designed to prompt creative thinking about a given topic (Flannagan and Sawyer 2015). Using these question stems requires students to systematically think…

In this paper, we build on a previously developed notion of 'learning as Making' to examine mathematics thinking and learning in a highly transformative and technological Making environment: one that involves a handheld 3D printing technology which enables 3D models to be created instantly via one's moving hand. In particular, we present two…

This article reports on the solutions of a group of 22 students, aged 15/16 years old, when facing a statistical modelling activity. They were given the salary lists of 5 companies and were asked what could be said about their salary structure; no hint was given. The results show that students not only used a wide range of data concepts and…

The ability to think critically and mathematically is strongly needed so that the students are able to face the challenges of 4.0 industrial revolution. By thinking critically, they are expected to be more adaptive in finding solutions to each problem. This study aims to identify the students' mathematical critical thinking skills in solving…

In this article, we present the results of the administration of a questionnaire designed to evaluate the understanding that civil engineering students have of the "antiderivative." The questionnaire was simultaneously administered to samples of Mexican and Colombian students. For the analysis of the answers, we used some theoretical and…

Motivation is a meta concept with well-researched theoretical constructs, such as expectancy-value and intrinsic-extrinsic, and encompasses a myriad of related theories such as self-efficacy, goal theory, theories of intelligence, choice theory, self-determination theory, and flow, among others. This study developed a framework that enables visual…

Designing a mathematically worthwhile task is critical for promoting students' reasoning. To improve task design skills, teachers often engage in collaborative lesson planning activities such as lesson study. However, to learn from the process of lesson study, it is important for teachers to notice productively the concepts, students' confusion…

Scaling up educational interventions in the STEM (Science, Technology, Engineering, and Mathematics) field is critical but under-researched. We review and draw implications from a series of studies investigating the long-range impact of an implementation of an early mathematics scale-up model based on learning trajectories. Lasting effectiveness…

In this paper, we emphasize the methodological challenges of analyzing data with/in an enactivist framework in which (1) all knowing is doing is being, while focusing on, (2) how an entry by the observer transforms usual ways of analyzing data. In this sense, the association of knowing with doing suggests a shift in attention away from what…

Sauk Valley Community College (SVCC) has returned to the Pathways to Results (PTR) process to analyze and improve a new pathway each year for the last five years. They have become so invested in PTR that they have institutionalized its use into their approach to program review and continuous improvement, creating an institutional PTR team…