A prevailing theory of mathematical problem solving predicts that children will be less accurate solving a + b = c + __ problems versus a + b = __ + c. However, this has never been tested directly. Because of low base rates, information combined from multiple studies can help improve estimation accuracy and precision. This study compared…

We share a subset of the 41 underlying strategies that comprise five ways of reasoning about integer addition and subtraction: formal, order-based, analogy-based, computational, and emergent. The examples of the strategies are designed to provide clear comparisons and contrasts to support both teachers and researchers in understanding specific…

Some universal behavioural screening processes require classroom teachers to complete a risk assessment measure on each student in their class, leading to a possible, but unexplored, problem: risk assessment scores may be influenced by the teacher completing the measure. The current study investigated whether teacher-reported risk assessment…

The regular pentagon had a symbolic meaning in the Pythagorean and Platonic philosophies and a subsequent important role in Western thought, appearing also in arts and architecture. A property of regular pentagons, which was probably discovered by the Pythagoreans, is that the ratio between the diagonal and the side of these pentagons is equal to…

Graphene is a novel material with extraordinary promise in various nano-based applications, including increases in strength, conductivity, filtration, and electrical capacity. Graphene can be synthesized and tested in a wide variety of applications in secondary or undergraduate settings. Allowing students to choose their own application and method…

Studies of children's developing social identification often focus on individual forms of identity. Yet, everyone has multiple potential identities. Here we investigated whether making children aware of their multifaceted identities--effectively seeing themselves from multiple angles--would promote their flexible thinking. In Experiment 1, 6- to…

Preparing students for the real challenges in life is one of the most important goals in education. Constructivism is an approach that uses real-life experiences to construct knowledge. Problem-Based Learning (PBL), for almost five decades now, has been the most innovative constructivist pedagogy used worldwide. However, with the rising…

Purpose: The purpose of this study was to further evaluate an eight-step partner instructional model developed by Kent-Walsh and McNaughton that has been demonstrated to improve implementation quality and fidelity among adults in clinical and educational settings who support the use of augmentative and alternative communication (AAC) for…

Psychiatric disorders in individuals with co-occurring autism spectrum disorders (ASD) and intellectual disability (ID) are common, but diagnosis presents many challenges. The Psychopathology in Autism checklist (PAC) is among the very few instruments specifically developed for this group of individuals. The psychometric properties of the PAC…

The curriculum resources used for teaching secondary mathematics vary considerably from school to school. Some schools base their teaching largely on a single published scheme, while others design their own schemes of learning, curating their resources from a range of (often free) online sources. Both approaches seem problematic from the…

Colleges and universities are grappling with supporting underprepared students in mathematics. While research examines the demographics of students and the effects of changing the number of preparatory courses, few studies examine the impact of pedagogical practices on student outcomes. This study investigated the effect of an alternative…

The purpose of this study was to 1) help novice students scaffold problem-solving and engage safely in the deliberate practice of diagnostic reasoning and medical decision-making in real time; 2) assess how accurately students gather and apply data in medical reasoning and treatment during high-fidelity patient simulations (HFPSs); 3) identify…

With the continuous development of education, personalized learning has attracted great attention. How to evaluate students' learning effects has become increasingly important. In information technology courses, the traditional academic evaluation focuses on the student's learning outcomes, such as "scores" or "right/wrong,"…

Recent approaches to statistics education situate the teaching and learning of statistics within cycles of statistical inquiry. Learners pose questions, plan, and collect, represent, analyse and interpret data. We focus on the first step -- posing statistical questions. Posing statistical questions is a critical step as questions inform the types…

Teacher leadership theory has underlined the essence of teacher collaboration (TC) in helping students learn better. Also, many studies and theories have argued that TC can be an effective way to provide learning feedback. Thus, this mixed-method study aimed to experimentally examine the effect of teacher collaborative metacognitive feedback…