Students are expected to use the Cartesian plane to represent and reason about mathematical concepts such as number systems, geometric figures, and functions. However, the simplicity of representing mathematical concepts that the Cartesian plane provides can cause us to overlook the difficulties many students have in constructing and using it.…

Representing repeating nonterminating decimals as rational numbers is a topic introduced in the seventh-grade Common Core State Standards for Mathematics. According to Content Standard 7.NS.2.D., students should be able to represent a rational number as a decimal and understand that the decimal will either end in zeros or eventually repeat (NGO…

This article is a commentary on McGill et al.'s (2020) article "Use of Translated and Adapted Versions of the WISC-V: Caveat Emptor." McGill et al. use caveat emptor in their title to indicate that the buyer of an assessment must be careful about the product being purchased, presumably because the seller of the assessment is not being…

The current knowledge of the effects of the physical environment on learners' behaviour in collaborative problem-solving tasks is underexplored. This paper aims to critically examine the potential of multimodal learning analytics, using new data sets, in studying how the shapes of shared tables affect the learners' behaviour when collaborating in…

At a time when universities internationally participate in continual processes of restructuring, repositioning and reprioritising, calls for 'voluntary' redundancy among teaching and learning staff become frequent events. Australian and New Zealand academics, whose stories inform this study, have, particularly, been made subject to severance,…

Critical thinking skill was needed since problems in daily life required a solution. To solve the problems, the students collect the data as a consideration in making the right decision. Moreover, the students also need good critical thinking skills. To develop a good critical thinking skill, the researcher develops a textbook of Complex Analysis…

This article proposes that the reader be nourished by avant-garde elements for new educational practices in the teaching and learning of mathematics. The writing is based on an investigation that was carried out with high school students from Puerto Rico. From a qualitative paradigm with a research design in action, it was explored how students in…

Introduction: Current measures of restrictive and repetitive behavior (RRB) in people with autism focus on severity and intensity and, to some degree, the global interference of the behavior. In this study we developed the Social Impact of Repetitive Behavior Scale (SIRBS) to capture several different contexts in which repetitive behavior is…

This study used a pretest-posttest design to explore the scoring by female preservice teachers (n=25) of student responses to a pattern problem. The treatment consisted of a cooperative activity that required the preservice teachers to assign scores to a rubric intended to enhance careful attention to student reasoning expressed in written…

It is often assumed that problem-based learning is an effective approach for fostering the development and/or improvement of students' critical thinking. To shed light on the connection between problem-based learning and critical thinking, this scoping review maps out how the notion of critical thinking is conceptualized in relation to…

Educators in the twenty-first century need to think of innovative ways to engage and prepare students for current and future challenges while cultivating an interest among students in STEM disciplines. This study sought to investigate the impact of problem-based learning on students' content knowledge and critical thinking towards STEM. This study…

The fear of making mistakes and avoidance of risks can create disabling anxiety and limit learning opportunities. However, it is possible to teach mathematics in ways that not only reduce student agency but also have the effect of excluding some students. This article proposes approaches that are intended to both foster student decision making and…

Problem-based learning (PBL) dates back to the 1970s and is inspired by the 1970s' collectivistic and practice-oriented learning ideals, emphasising dynamic learning processes without clear-cut or simple beginnings and ends. Today, PBL is often performed and framed by other discourses, strategies, rules, regulations and politics than those…

Being a cognitive strategy instruction model called 'Solve It!' involves cognitive and metacognitive elements. The model was developed by Montague (1992) as one of the process-based teaching strategies. The purpose of 'Solve It!' strategy is to teach the following seven cognitive strategy steps: read, paraphrase, visualize, hypothesize, predict,…

While the paths after graduate school are increasingly varied, the central goal of doctoral programs remains to develop independent researchers. Given the important role of doctoral advisors in the socialization and progress-making of doctoral students, we conducted semi-structured interviews with faculty advisors who regularly advise chemistry…