Teachers often use open-ended questions to promote students' deeper understanding of the content. These questions are particularly useful in K-12 mathematics education, as they provide richer insights into students' problem-solving processes compared to closed-ended questions. However, they are also challenging to implement in educational…

English learner (EL) students are a heterogeneous group with unique needs and the challenges of acquiring a new language while also learning grade-level academic content. Math word problems pose a challenge for some EL students who are at risk for math disabilities. This study, conducted by myself and H. Lee Swanson, used a single-case research…

Background/purpose. The process of double-loop learning has the capacity to engender alterations in values, assumptions and strategies. The alteration of values gives rise to a corresponding shift in assumptions and strategies. The present article poses and explores two discrete research inquiries. The present study has been designed to examine…

Mathematical proof, often regarded as the heart of mathematics, is essential for interconnected mathematical knowledge. However, proof-writing skills do not develop inherently. Effective learning environments are vital for university students to enhance these skills. This study investigates the impact of the ISMAT model on pre-service teachers'…

Effective teaching behaviours of instructors significantly facilitate students' learning and development. This study surveyed 3493 college students in advanced mathematics classrooms across three Chinese universities. A multilevel mediation model examined the relevance of instructional clarity and teacher humour to academic engagement. The results…

This article draws on research with third- through fifth-grade teachers who participated in a three-year professional development (PD) focused on culturally responsive teaching, primarily in English Language Arts (ELA). Although not focused on mathematics, the study examined how mathematics teachers adapted and extended ELA strategies to their…

This document analyzes the knowledge of teachers who use digital technologies for mathematics instruction through an instrument called Technological Pedagogical Content Specialized Knowledge (TPCSK) combining open-ended questions and a self-perception scale. The results are based on a case study involving ten teachers from different educational…

Pre-service teachers' (PSTs) past mathematics experiences shape their future teaching. We analysed 266 Australian PSTs' written recollections of positive and negative school mathematics experiences using Pekrun's Achievement Emotions Framework. Negative memories evoked shame (41%) and anxiety (32%), while positive ones reflected enjoyment (50%).…

In mathematics education research, a focus on cognition in learning experiences often obscures emotion. Our ongoing research has underscored the importance of the emotional dimensions and social interactions that contribute to social solidarity. Through a sociology of emotions framing and event-oriented social inquiry, we identify salient…

This study explores how financial numeracy can be effectively promoted within mathematics education for third and fourth graders. Using a Design-Based Research approach, it identifies challenges in students' financial decision-making and implications for the design of educational interventions. The findings underscore the need for thoughtfully…

This study aimed to assess and compare the development of mathematical procedures on the part of Grade 7 students using an intelligent tutoring system on a digital platform. The sample comprised 96 students from Khon Kaen University Demonstration School, Thailand, divided equally into experimental and control groups. The experimental group worked…

This paper focuses on a professional development program for lower-secondary school mathematics teachers, led by mathematics education researchers, based on historical insights from Fibonacci's Liber Abbaci. The program, involving 25 teachers, emphasized using the history of mathematics to craft meaningful mathematical lessons on the topic of…

Although curriculum materials are essential for implementing instructional innovations, little is known about how exactly they support teachers' enactment of innovative approaches and how explicitly they must integrate their key components. The paper contributes to reducing this research gap for one instructional innovation: explicit strategy…

In hard-to-staff subjects like secondary school mathematics, out-of-field teaching--where teachers are required to teach subjects outside their expertise--is a necessary reality. While strategic investments in continuous professional learning by education authorities seem an obvious way to ensure that teachers are better prepared for such…

Background/Context: Children enter kindergarten with widely varying backgrounds and academic skill levels (Little et al., 2024). Kindergarten teachers face the challenge of meeting children where they are at the start of the year and helping them master critical skills by the end of the year, regardless of where each child starts. Differentiated…