Area-model representations seem to have been dominant in the teaching and learning of fractions, especially in primary school mathematics curricula. In this study, we investigated 40 fifth grade children's understandings of the unit fractions, 1/2, 1/3, and 1/4, represented through a variety of different models. Analyses of pre-teaching test and…

Understanding how geologists conduct fieldwork through analysis of problem solving has significant potential impact on field instruction methods within geology and other science fields. Recent work has highlighted many aspects of fieldwork, but the problem solving behaviors displayed by geologists during fieldwork and the associated cognitive…

Project-based learning (PBL) is an effective approach to STEM education because it allows students to experience scientific inquiry by using their knowledge and skills in science, technology, engineering, and mathematics (STEM) to solve realistic problems. PBL consists of four components: (1) posing and comprehending a driving question; (2)…

The aim of this article is twofold: first, to identify and address three central divisions in the field of authentic education that introduce ambiguity and at times inconsistencies within the field of authentic education. These divisions concern a) the relationship between autonomy and authenticity; b) the division between the two basic attitudes…

Research suggests that learners will likely spend a substantial amount of time looking at the model's face when it is visible in a video-based modeling example. Consequently, in this study we hypothesized that learners might not attend timely to the task areas the model is referring to, unless their attention is guided to such areas by the model's…

The purpose of this study was to examine the differences between Finnish and Taiwanese textbooks for grades 7 to 9 on the topic of solving systems of linear equations (simultaneous equations). The specific textbooks examined were TK in Taiwan and FL in Finland. The content analysis method was used to examine (a) the teaching sequence, (b)…

This study aims to investigate the mathematical word problem-solving skills of preschool children 5-6 ages. To achieve this objective, the data were collected in four preschools (n = 162). A mathematical word problem test was used as data collection tools. In this study, it was found that the children's skills at solving mathematical word problems…

This article explores existing attempts to design a comprehensive and complex taxonomy framework for an educational business game intended to categorize and evaluate various properties. The identified missing elements in the current proposed taxonomies were used as a starting point for the design of a new category that addresses the game's…

Mathematical modeling is an essential integrated piece of the Common Core State Standards. However, researchers have shown that mathematical modeling activities can be difficult for teachers to implement. Teachers are more likely to implement mathematical modeling activities if they have their own successful experiences with such activities. This…

This paper describes the results of a qualitative study using ground theory to investigate the different approaches used by chemists when answering open-ended problems. The study involved undergraduate, industrialist and academic participants who individually answered three open-ended problems using a think aloud protocol. Open-ended problems are…

This article reports on face-to-face and online qualitative research conducted with 25 teachers from 8 schools in Australia that explored their experience of mindfulness and reflection in relation to a self-identified relational dilemma with a student, colleague, or parent who was causing them concern at work. The aim of this study was to find out…

The study assessed the relative effectiveness of understanding the problem statement on students' mathematical behaviours in Borno State Secondary Schools. The study was guided by an objective: to determine the Understanding the problem statement on student's performance in senior secondary school and a null hypothesis: there was no effect of…

This article focuses on establishing a mastery climate where all students find success and start on the road to physical literacy. Using a five-step approach, physical educators will be offered guidance for developing practice tasks that lead to skill mastery. These steps include creating a mastery environment, designing deliberate practice tasks,…

Understanding contingency table analysis is a facet of mathematical competence in the domain of data and probability. Previous studies have shown that even young children are able to solve specific contingency table problems, but apply a variety of strategies that are actually invalid. The purpose of this paper is to describe primary school…

Students of homeland security need to grasp a diverse body of knowledge and have a keen understanding of the variety of events and issues that impact how they can apply that knowledge. The goal of higher education should not just be about imparting knowledge but also about giving students tools and skill sets to "think interestingly" to…