The complexity of the art of teaching and learning, especially in the field of mathematics, calls for a broader approach than the traditional status quote. Proof without words in geometry coupled with the dynamic and interactive GeoGebra applet have the capacity to be used in all levels of mathematics education from grade schools to higher…

The Iberoamerican Mathematics Olympiad (IbMO) is one of the most successful and established regional Olympiads in the world with the participation of all Iberoamerican countries. Its origins are a confluence of two mayor events: on the one hand the organization of the International Mathematical Olympiad (IMO) in the Americas for the very first…

Tasks that require students to construct examples that meet certain constraints are frequently used in mathematics education. Although examples do not serve as proofs for general statements, they have a supporting role in the preliminary stages of making sense of a certain mathematical phenomenon as well as in the development of argumentation. We…

The objective of this work is to show an educational path for combinatorics and graph theory that has the aim, on one hand, of helping students understand some discrete mathematics properties, and on the other, of developing modelling skills through a robust understanding. In particular, for the path proposed to middle-school students, we used a…

This study explores the epistemic considerations that seemed to govern thirty-one Indian teachers' beliefs while teaching certain concepts of probability, especially using random generators. It focuses on knowing how these teachers make transitions between the different interpretations of probability, namely, Logical (sometimes also known as…

This paper summarises the exploratory quantitative analysis undertaken to investigate how vocational education and training (VET) students cluster and segment in the Australian VET market. This analysis is outlined in three sections. The first section focuses on 'clustering' as a technique for grouping data and the three clustering algorithms…

While mathematics achievement continues to decline across the United States, minimal research has been conducted on the use of CT skills to increase proficiency. This explanatory, nonexperimental quantitative study focused on the self-assessment of teachers' content knowledge in computational thinking skills and the relationship to students'…

This qualitative study sought to understand middle school students' developing mathematical arguments in a linguistically and culturally supportive classroom that featured mathematical writing and oral conferencing. Writing tasks and conferencing focused on developing the core algebraic practice of justifying by emphasizing audience and revision.…

It is often claimed that technology can be used as a tool that can facilitate teaching and learning and contribute to learners' achievement. This article reports on a study about how KwaZulu-Natal mathematics teachers use, access and integrate technology in the teaching and learning of mathematics. A questionnaire containing closed and Likert…

Developing a new assessment requires the expertise of both content experts and assessment specialists. Using the example of an assessment developed for Ontario's Colleges Mathematics Assessment Program (CMAP), this article (1) describes the decisions that must be made in developing a new assessment, (2) explores the complementary contributions of…

Many studies over the past 30 years have highlighted the important role of students' beliefs for successful problem-solving in mathematics. Given the recent emphasis afforded to problem-solving on the reformed Irish secondary school mathematics curriculum, the main aim of this study was to identify Irish students' (n = 975) beliefs about the…

The objective of this study is to produce a vignette in measuring mathematical knowledge for teaching based conceptual (MKT-C). The method of this research is a development research conducted by synthesizing the expert reviews on MKT-C in the knowledge domain of material content which was divided into sub domains: common content knowledge based…

Methods of causal inference are not widely used by education researchers, even though they can be extremely useful tools for eliminating selection bias and confounding factors in empirical studies. For example, researchers have established that taking additional math classes in high school is strongly correlated with success in college and higher…

In Bangladesh, despite significant progress in access, equity and public examination success, poor student performance in mathematics in secondary schools has become a major concern. An extensive review of research has shown that teachers account to a large extent for student learning and achievement gains. Although educational research has…

Purpose: This study presents the competence level of education students in College Geometry and the development of a Computer Generated Instructional Materials (CGIM). Method: This research used the model for research and development by Borg and Gall (2003) with revision. The researchers developed a CGIM, specifically, the worktext paired with…