Critical thinking is a combination of complex cognitive skills. It is important for the successful acquisition of disciplinary skills in higher education and thus, it is a valuable competency for a new student. The complex nature of critical thinking leads to challenges for its assessment even in performance assessments such as CLA + International…

Several reforms in national and international curricula have been implemented to introduce inquiry-based activities to promote different science process skills. Science skills require high cognitive effort for students and, thus, they need supports to develop them in an inquiry process. Among these supports, video-worked examples demonstrate how…

In this case study, we investigate one teacher's implementation of DNR-based combinatorics curriculum in their high school discrete mathematics class. By examining the teacher's practices in whole-class discussions of two counting problems, we study how they advanced a variety of ways of thinking to support the development of a set-oriented way of…

Recursive reasoning is a powerful tool used extensively in problem solving. For us, recursive reasoning includes iteration, sequences, difference equations, discrete dynamical systems, pattern identification, and mathematical induction; all of these can represent how things change, but in discrete jumps. Given the school mathematics curriculum's…

This introduction presents Active Learning Methodology, surveying its history, main existing tools and supporting evidence, with an emphasis on mathematics and higher education, in particular engineering studies. This work is part of the DrIVE-Math project, developing innovative mathematical teaching strategies in engineering studies.

Think-aloud interviews have been a valuable but underused tool in statistics education research. Think-alouds, in which students narrate their reasoning in real time while solving problems, differ in important ways from other types of cognitive interviews and related education research methods. Beyond the uses already found in the statistics…

Educational process mining is now a promising method to provide decision-support information for the teaching-learning process via finding useful educational guidance from the event logs recorded in the learning management system. Existing studies mainly focus on mining students' problem-solving skills or behavior patterns and intervening in…

The author presents a child-centered approach to teaching, developed through longtime connections with colleagues, which concentrates on the children and provides them time to make their own connections, to learn, to think, and to develop at their own pace with the support of their classmates. Two examples of how mathematics interlaced into…

In mathematics, the keyword strategy involves identifying a keyword (e.g., "altogether") and using that keyword to determine the operation needed to find a word problem's solution. We analyzed 747 high-stakes released items across Grades 3, 4, 5, 6, 7, and 8 from the Partnership for Assessment for Readiness for College and Careers and…

"Using Education Indicators: A Forum Guide for State and Local Education Agencies" was developed to provide timely and useful information on education indicators, how their collection and use have changed over time, and how agencies use them strategically. Since the publication of the 2005 document "Forum Guide to Education…

Individuals with developmental disabilities demonstrate deficits in intellectual and adaptive functioning that can include difficulty describing past events; accurate recall may be improved by learning to engage in precurrent, or problem solving, behavior. Visual imagining is a problem-solving strategy that involves seeing in the absence of the…

This quasi-experimental design study aimed to examine how exposure to supporting productive struggle teaching practice impacts students' conceptual understanding, procedural fluency, and strategic competence when solving high-demanding quadratic functions problem solving tasks. Results suggested that students in the supporting productive struggle…

ArtSteps is an immersive virtual exhibit tool that is attractive and versatile; the user can present objects, artefacts, and art, whether it is work they have created or found in public resources. This paper presents an exploratory study on digital teacher empowerment using ArtSteps to promote innovative pedagogical methodologies involving Virtual…

Recent efforts to help teachers improve have centered on teacher evaluation. This qualitative dissertation explored how eight teachers from one middle school described and understood improving their practice Additionally, this study used purposeful developmental sampling to explore how, if at all, participants' way of knowing (meaning their…

Given the well documented fact students often struggle with proof and proof-related activity for various reasons, more educators have shifted to incorporating pedagogies involving collaborative learning given their benefits to student learning. However, there is still surprisingly little research focused on the nature of students' collaborative…