The present study used a novel, well-controlled paradigm to investigate the development of cool, hot-positive, and hot-negative inhibitory control in a sample of children (6- to 11-year-old; N = 38, 21 females), adolescents (12- to 18-year-old; N = 38, 24 females), and adults (19- to 38-year-old; N = 38, 28 females; sample location: United…

This study is aimed to understand the connections between didacticians' meta-didactical praxeologies for the design and implementation of a teacher professional development program and their documentation work for the program itself. Didacticians are mathematics education researchers with the role of teacher educators. Data presents a case study,…

Secondary school students often learn new cognitive skills by practicing with tasks that vary in difficulty, amount of support and/or content. Occasionally, they have to select these tasks themselves. Studies on task-selection guidance investigated either procedural guidance (specific rules for selecting tasks) or strategic guidance (general rules…

Mathematical knowledge for teaching is a complex web of knowledge domains. In this article, we share findings from an 18-month professional development project that aimed to improve middle school mathematics teachers' mathematical knowledge for teaching (MKT) of proportional reasoning by focusing on the critical analysis of mathematical tasks and…

This study is concerned with the analysis of mathematical textbook tasks at the second-level in Ireland, in the context of the introduction of the revised curriculum entitled 'Project Maths'. A total of 7635 tasks on the topics of Pattern, Sequences and Series, and Differential Calculus were analysed; these tasks were selected from editions of…

In an effort to deepen learning in K-12 science classrooms, there has been a national movement to integrate computational thinking (CT). The purpose of this phenomenographic study was to understand teachers' perceptions of the function and usefulness of a task analysis and a decision tree tool designed to help them with integration. Teachers…

Emphasis manipulation is a way to help learners by directing their attention to particular subcomponents of a learning task. This study investigated the effects of different approaches to emphasis manipulation on knowledge transfer and cognitive load. This was done by examining the impact of three task selection strategies: system-controlled,…

The selection of tasks based on the evaluation of task features can be considered a core practice of teaching and a relevant component of teaching quality. This is typically part of teachers' preparation for their classroom teaching, which prompts the following question: What are the characteristics of the tasks that teachers use when selecting…

This study investigates the impact of task-induced involvement and time on task on incidental second language (L2) vocabulary acquisition. Utilizing a 3 (task-induced involvement) × 2 (time on task) × 2 (post-test time) research design, three task-induced involvement conditions were employed based on the Involvement Load Hypothesis (ILH): reading…

This article explores the perceived disconnect between informal and formal musical knowledge, through a focused case study which aligned students' informal knowledge with aspects of the formal curriculum. The upper high school or senior secondary student participants had a background in the creation and performance of popular and contemporary…

This study examines secondary mathematics teachers' anticipations of student responses related to a series of cognitively demanding mathematics tasks from multiple mathematical domains presented in the context of voluntary and asynchronous online professional development modules. We analyze 283 anticipations made by 127 teachers to 17 mathematics…

Promoting reasoning is the goal of mathematics education. While reasoning behaviours can be observed, how to characterise them and nurture their growth remains ambiguous. In this article, we report our effort in drafting a learning progression and geometric thinking model and using them to investigate Australian students' geometric reasoning…

This article uses the concurrent mixed methods design to explore the errors made by 171 Grade Seven learners in algebraic problem-solving within the Assin Central Municipality in Ghana. The participants were categorized into low-achieving and high-achieving groups based on their performance in a pretest, to help provide a detailed examination of…

We investigate the beliefs that influence middle and high school algebra teachers' appraisals of contextual problems having diverse mathematical and pedagogical features. We asked six teachers to analyze six contextual algebra tasks and indicate how they would apportion instructional time among the six tasks based on their structure, pedagogical…

Numerous studies suggest that bilinguals demonstrate smaller vocabularies than monolinguals, and that bilinguals' breadth of vocabulary knowledge - both expressive and receptive - is linked to input frequencies in each language [e.g. Hoff, E., S. Welsh, S. Place, and K. Ribot. 2014. "Properties of Dual Language Input That Shape Bilingual…