In the information age, the acquisition of data literacy skills has become increasingly important for undergraduate student success, yet these skills are not emphasized in the lecture setting. Here we present a study to inspire educators to scaffold graph knowledge and interpretation into their classrooms. Specifically, we sought to understand how…

This article presents a reflection on a teaching experience involving the use of the Brügner tangram, an interesting but little-known manipulative material. It details an activity conducted as part of an undergraduate mathematics education course for prospective primary school teachers. The main objective of this paper is to present the…

Critical thinking is a skill that people must develop to navigate skillfully the information they receive through media channels. The cultivation of this skill must begin in the early stages of education and continue uninterrupted through the completion of academic training. For this reason, the search for tools to promote critical thinking in the…

Many students who enroll in a first course in linear algebra major in STEM disciplines other than mathematics. Teachers who serve such students may find it difficult to provide authentic problems from these broader areas that ignite students' interest in linear algebra. In this paper, we highlight an interdisciplinary learning activity that…

Access to knowledge has never been easier in the internet age, and so it is important that students develop skills to discriminate undependable information from reliably investigated research. We have created an exercise that teaches good research practice by exploring the history, ethics, and design of clinical trials. Students apply their…

Statistical data is used in the media and on online platforms, often with an interpretation that serves some commercial or political purpose. Primary preservice teachers must be able to understand statistical data and analyze it critically. Only in this way will they be able to contribute as future teachers to the development of a critical spirit…

This paper reports the results of the experimentation of a didactic engineering for the treatment of the sense of variation of functions with pre-university students. The theoretical references of the investigation are grounded in the theory of didactic situations and the methodological elements in the didactic engineering, the use of…

This article integrated inquiry behaviors and a guided learning map (gMap) into a mobile app called Ubiquitous-Physics (U-Physics), which helps students to explore inclined plane phenomena in authentic contexts. The article investigated inquiry behaviors such as interpreting graphs, applying formulas, drawing conclusions, and peer collaboration,…

Finite Mathematics has become an enormously rich and productive area of contemporary mathematical biology. Fortunately, educators have developed educational modules based upon many of the models that have used Finite Mathematics in mathematical biology research. A sufficient variety of computer modules that employ graph theory (phylogenetic trees,…

The purpose of the present study is to determine the effects of two multi-modal representations, the use of text and graph for learning, on problem solving, academic achievement and retention when used in a process-based instruction (PBI). The study was designed as quasi-experimental study complying with pretest-posttest control group design. The…

Merging the content of learning with the motivation of games can be a successful combination, if done properly and supported by the appropriate tool. Towards this goal, we developed Diagram[character omitted]atic an environment used to gamify the in-classroom activity of designing diagrams during a lecture. Using Diagram[character omitted]atic the…

Discussion forums are used to support socio-collaborative learning processes among students in online courses. However, complex forum structures and lengthy discourse require that students spend their limited time searching and filtering through posts to find those that are relevant to them rather than spending that time engaged in other…

This study aimed to investigate pre-service pre-school education teachers' data representation activities in terms of their relation to real life, the appropriateness of the data that the children can collect, the conformability of the graphs required for the data representation to the children's level, and the clarity of open-ended questions…

Learning design has traditionally been thought of as an activity occurring prior to the presentation of a learning experience or a description of that activity. With the advent of near real-time data and new opportunities of representing the decisions and actions of learners in digital learning environments, learning designers can now apply…

The Tower of Hanoi is an old, popular, and engaging puzzle. It is an exceptional puzzle too considering how effective it can be in engendering multiple valuable outcomes when used as a tool for learning. One of the fundamental goals of mathematics teacher preparation is to enable the prospective teacher to develop mathematical habits of mind and…