In the realm of K-12 Education, the growing significance of Computational Thinking has sparked extensive inquiry into its nature and instructional methodologies. Despite a wealth of literature on the subject, ongoing debates persist regarding its fundamental components. Across global educational landscapes, Computational Thinking is being…

The importance of mathematical problem posing has been acknowledged by many researchers. In this theoretical paper, we want to capture different meanings and aspects of problem posing by approaching it from three different levels: (1) by comparing definitions, (2) by relating it to other constructs, and (3) by referring to research and teaching…

Despite decades of conversations about student engagement, student success is rarely measured in terms of the capabilities of students to learn with, from, and for others--what Clifton Conrad and Todd Lundberg define as collaborative learning. From their perspective, positioning individual learning as the cornerstone of a college education falls…

Solving problems involving absolute value is one of the hardest topics for students learning in elementary algebra course. This is an important topic in student's mathematics life since absolute value functions are important example of a function which is continuous on the real line but not differentiable at the origin. A deep understanding of…

Metacognition is an essential, but habitually ignored element of 21st century education, which aims to teach students how to learn. 'Meta' is a Greek word meaning 'after', 'behind' or 'beyond'; 'meta' is added to terms such as meta memory, meta comprehension, and metacognition. The lack of consciousness is cognitive self-regulation activities…

This article discusses how technology, in conjunction with carefully designed tasks and orchestrated discussions, has the potential to both reveal students' mathematical practices and to provide opportunities to shape those practices. Four specific mathematical practices that tend to be associated with problem-solving situations are examined: (1)…

The Program for International Assessment of Adult Competencies, better known as PIAAC, developed a numeracy assessment framework that was used internationally to assess adults' numeracy skills. The assessment gauged adults' (aged 16-65 years) numeracy skills across a full range, from adults with very low levels of numeracy to college level math…

The transition to tertiary mathematics requires students to use definitions of mathematical objects instead of intuitions. However, routines of defining and of proving with definitions are difficult to engage in, as they are not familiar to students who come from secondary school mathematics. Defining is highly complex because of its underlying…

Research has shown that the types of tasks assigned to students affect their learning. Various authors have described desirable features of mathematical tasks or of the activity they initiate. Others have suggested task taxonomies that might be used in classifying mathematical tasks. Drawing on this literature, we propose a set of task types that…

The purpose of this article is to assist classroom teachers in discerning qualitative differences between a student-written report and student-led research. There are many connotations to the terms "report" and "research," and they can have implications on how teachers effectively or ineffectively differentiate instruction to…

Only knowledge is not sufficient to make students succeed in the world. Students need to attain 21st century skills like problem-solving, creativity, innovation, metacognition, communication etc. to endure in the modern world. Problem-solving skill is one of the fundamental human cognitive processes. Whenever students face a situation where they…

In this paper, we describe a framework for data analysis that can be embedded into a base application. Since it is important to analyze the data directly inside the application where the data is entered, a tool that allows the scientists to easily work with their data, supports and motivates the execution of further analysis of their data, which…

In an environment of rapid and unpredictable change determined and directed by technologies that are constantly changing, the assumption that being technologically literate is the key to being a sustained, contributing life-long learner is well founded. However, technological literacy is seldom referred to or considered in academic arguments as a…

The topic of inhibition in mathematics education is both well timed and important. In this commentary, we reflect on the role of inhibition in mathematics learning through four themes that relate to how inhibition is defined, measured, developed, and applied. First, we consider different characterizations of inhibition and how they may shape the…

Having a great teacher in every classroom is the collective goal and teacher leadership roles help to reach that goal in several ways. First, teacher leadership roles provide a needed platform for teachers to share what they are best at. This could include opening their doors to colleagues, serving as coaches or peer evaluators, sharing…