This article describes the application of technology to the van Hiele Model for Geometric Thought to increase the van Hiele levels in an undergraduate Euclidean geometry course. Following the model with activities and phase-based instruction, students showed significant gains in the van Hiele levels in five different sections over the course of…

Students who struggle to complete an assignment may rely on self-regulatory strategies such as rereading class notes or learning from worked-out examples from textbooks to handle tasks beyond their capability. Learners may also reach out to teachers or peers for assistance. In the past, seeking help from other individuals has been viewed as a…

Introductory and remedial courses in college mathematics often serve as a gateway to student success. However, these university courses have seen little innovation despite historically low success rates. We sought to address deficits of the traditional lecture model and enhance student learning in an introductory college algebra course through the…

Escape rooms have been receiving more attention for use in education. Escape rooms are games in which teams solve multiple puzzles and challenges using clues, hints, and strategy to determine how to escape from a locked room. The implementation of escape rooms has the potential for increasing students' mathematical understanding and engagement.…

This survey paper presents recent relevant research in mathematics education produced in Spain, which allows the identification of different broad lines of research developed by Spanish groups of scholars. First, we present and describe studies whose research objectives are related to student learning of specific curricular contents and…

The Optimizing Learning Opportunities for Students (OLOS) Observation System was developed by the Early Learning Network's assessment team at the University of California, Irvine. OLOS is a user-friendly, web-based tool designed to help teachers understand what is happening in their classrooms and uncover ways to meet the unique learning needs of…

The National Assessment of Educational Progress (NAEP), first administered in 1969, is the largest nationally representative and continuing assessment of what the nation's students know and can do in various subjects such as civics, geography, mathematics, reading, science, U.S. history, and writing. The results of NAEP are released as The…

Many STEM subjects are strongly hierarchical: learning and progression depends upon threshold concepts and retained knowledge from previous study. To help progress learning, support can be offered during regular study periods, but what happens during breaks between studies? The requirement to provide continuity during study breaks is recognised as…

Helping teachers become more effective in the classroom is a high priority for school leaders and policymakers. This Study Highlights presents key findings from a study that examined a promising strategy for improving teachers' effectiveness: providing individualized coaching using videos of teachers' instruction for reflection, practice, and…

In this paper we elaborate and extend the work of the EDUsummIT 2015 Thematic Working Group 7 (TWG7) by proposing a set of indicators on quality Technology-Enhanced Learning and Teaching (TEL&T). These indicators are intended as one component of a set of global indicators that could be used to monitor implementation of the Education 2030…

The National Assessment of Educational Progress (NAEP) is the largest nationally representative and continuing assessment of what the nation's students know and can do in various subjects such as mathematics, reading, science, and writing, as well as civics, geography, U.S. history, and technology and engineering literacy. The results of NAEP are…

This paper describes one instructor's experiences during a year of flipping four calculus classes. The first exploration attempts to understand student expectations of a math class and their preference towards a flipped classroom. The second examines success of students from a flipped classroom, and the last investigates relationships with student…

The National Assessment of Education Progress (NAEP) is the largest continuing and nationally representative assessment of what the nation's students know and can do in subjects such as civics, geography, mathematics, reading, U.S. history, and writing. The results of NAEP are released as The Nation's Report Card. NAEP is a congressionally…

Our 1997 article in "IJAIED" reported on a study that showed that a new algebra curriculum with an embedded intelligent tutoring system (the Algebra Cognitive Tutor) dramatically enhanced high-school students' learning. The main motivation for the study was to demonstrate that intelligent tutors that have cognitive science research…

A critical incident is a situation or event that holds significance for learning, both for the students and teachers. This paper presents four examples of critical incidents from a Year 7 teacher's lesson excerpts in Indonesia involving teaching of fractions, to show how they shaped classroom situation, brought forward elements of conflict, and…