In a cross-sectional study, 160 students in Grades 2, 4, 7, and 11 were interviewed about their reasoning when solving integer addition and subtraction open-number-sentence problems. We applied our previously developed framework for 5 Ways of Reasoning (WoRs) to our data set to describe patterns within and across participant groups. Our analysis…

There is increasing recognition that the underachievement of Maori, Pasifika, and other diverse students in New Zealand schools is in large part owing to systemic factors that disadvantage these students. Responding to the urgent need for significant change in our schools and classrooms, the developing mathematical inquiry communities model is a…

This article reflects on a school's approach to gamifying the Royal Society Te Aparangi's First CREST Award. The article explains how CREST was reconceived as a quest using elements of live action role playing (LARP) and gamification, and the tools that were used to do this. It describes how progress was measured using a points system and the…

In this study, we investigate students' ways of understanding graphing tasks involving quantitative relationships in which time functions as an implicit variable. Through task-based interviews of students ages 14-16 in a summer mathematics program, we observe a variety of ways of understanding, including thematic or visual association, pointwise…

Generic problem-solving skills have been identified as one of the key competencies valued by professional programmes, university students and their future employers. A lack of widely available and simple testing tools prevents assessment of the development of student problem-solving skills. As part of a research study, a generic problem-solving…

Traditional teaching approaches are generally teacher-directed, where students are taught in a manner that is conducive to sitting and listening. It is often argued that these approaches may not provide students with valuable learning skills, and rather that non-traditional approaches to teaching and learning might better endow students with such…

This research change management strategies and administrative functions competence, used the ex post-facto research design of the survey method. The population of the study was made up of the 865 lecturers in the Delta State Colleges of Education in the 2015/2016 academic session. The study used the stratified random sampling technique to sample…

This study examined whether students were reaching automaticity with single digit multiplication facts. A fourteen question interview was used to collect data. The first three questions asked the student basic information about themselves and their current math teacher. The next seven questions were math facts. The math facts chosen for the…

Putting an electrical circuit within an inaccessible black box and asking pupils to deduce what wiring is contained within the box based solely on the circuit's behaviour is a simple teaching idea with a long history. Problems arise when trying to build enough physical black boxes to simulate a larger number of circuits within a typical school's…

Problem-based learning (PBL) fosters both content knowledge and content understanding, improves critical and process thinking skills, and promotes peer-to-peer learning, leadership, and teamwork (Hmelo-Silver 2004). Instructors support the PBL process by guiding students through activities that challenge their current knowledge and understanding…

In this article, we identify and examine opportunities for formative assessment provided by information technologies (IT) and the challenges which these opportunities present. We address some of these challenges by examining key aspects of assessment processes that can be facilitated by IT: datafication of learning; feedback and scaffolding; peer…

The main purpose of this study is to determine prospective teachers' metacognitive awareness levels of reading strategies. A quantitative surve method was used. Participants consisted of 150 prospective primary teachers and 150 prospective Turkish language teachers from Necmettin Erbakan University in Turkey. The data were collected through…

Previous studies have identified physics students' difficulties with graph slope and area under a graph in different contexts. In this study we compared physics and nonphysics (psychology) students' understanding of graphs; i.e., we evaluated the effects of concept (graph slope vs area under graph), type of question (qualitative vs quantitative),…

The aim of this study is to identify the faults in Science, Technology, Engineering and Mathematics (STEM) education and to provide an approach to how these deficiencies can be eliminated. The STEM approach can provide students with an interdisciplinary point of view to gain creativity, critical thinking, high-level skills of thinking and…

This research investigates the responses of three individuals engaging with the Super Mario World (SMW) platform videogame glitches, and how they learned to solve the problem without formal help. This investigation was chosen because it explores connections between media literacy, critical thinking, and play in adults in the context of responding…