Emergent graphical shape thinking (EGST) entails conceiving a graph as being dynamically generated via the trace of a moving point constrained by two changing quantities. As such, Paoletti et al. (2023) argue that meanings for quantities within a situation and meanings for graphical representations must be connected, or bridged, to engage in EGST.…

Instructors manage several tensions as they support students to engage in mathematical disciplinary practices such as defining, conjecturing, and proving. These tensions include honoring students' contributions while simultaneously apprenticing students to following mathematical norms. I present a case study of a teacher-researcher in a laboratory…

We examined the suggestions mathematics coaches provided to teachers as part of one-on-one coaching cycles. The purpose was to understand the object (content) of the suggestions, the lesson phase in which the suggestion would occur, and the clarity of the suggestion (how actionable the suggestion would be if the teacher followed the suggestion).…

Building Thinking Classrooms (Liljedahl, 2021) provides teachers with a new method of designing and sequencing tasks called "thin slicing," which emerged from variation theory. The results of the present study indicate that an analysis of the dimensions and ranges of variation within such a task offers insights into learning…

In this study, we examined one experienced mathematician's class practices, with particular attention to cognitive model described in genetic decomposition. Our findings indicate that students only had limited opportunities to be familiar with the first three steps in genetic decomposition, which may potentially lead students to answer limit tasks…

Co-teaching is defined as two or more certified teachers working together to meet the needs of the diverse learners in their classroom, especially students with disabilities. Coteaching is a widely implemented method used in public schools to educate children with and without disabilities in the general education setting to comply with state and…

Knowledge assessments in undergraduate mathematics education commonly evaluate response correctness to determine learner proficiency. However, simultaneous evaluation of learner metacognition more accurately assesses the multiple dimensions of knowledge and has been shown to increase assessment validity and reliability. Research into…

This study investigates how human rights education (HRE), a global movement and citizenship education model based on universal personhood rather than nationality, is presented and negotiated in relation to national citizenship discourses in South Korean middle school moral education and social studies textbooks. Using qualitative methods of…

The ability to interpret mathematical symbols and understand how they capture contextual relationships is a critical element of algebraic thinking. More often than not, students see algebra as merely a list of rules for manipulating abstract symbols, with limited to no meaning. Instead, for students to see algebra as a powerful tool and rich way…

Creative thinking in mathematics is an essential 21st Century skill that can be developed and encouraged through an exploration of mathematical concepts. In the context of the new "Australian Curriculum: Mathematics," this article explores the possibilities that are unlocked when students engage with tasks creatively in mathematics. By…

This paper examines compassionate pedagogies in relation to an emotionally intense experience in a long day-care centre. Video observations were made of international preservice teachers undertaking an infant-toddler professional experience in Australia. The study is informed by Vygotsky's cultural-historical concept of emotional experience…

This article discusses the results of a qualitative study examining the ways civil society organisations (CSOs) may better support grass-roots initiatives for everyday peacebuilding via education in conflict-affected societies, where official state processes have failed. Our research is set in the Cyprus context, where the conflict between the…

In recent years, there has been increased attention regarding systems-level implementation to support the sustained use of evidence-based interventions and supports in authentic early childhood settings. With this comes a need to accurately measure implementation fidelity of the critical features within a framework as well as individual practices.…

In this manuscript we show how readalouds can significantly enrich student vocabulary and comprehension by demonstrating enhancements that will foster student learning and language development. We anchor our examples to empirical evidence demonstrating that the content of a readaloud (i.e., the what we teach) as well as the quality of the…

A teaching philosophy statement (TPS) is a brief, deeply personal narrative that gives insight into an educator's perspective on the teaching enterprise. A TPS is typically comprised of a reflection on the educator's values and beliefs, a description of what happens during the learning process, and statements about how teachers and learners…