In this methodology paper, we present a methodology for characterizing how teachers use coaches' suggestions. We identified suggestions from planning conversations and explored the extent to which the teachers implemented the suggestions in enacted lessons. The planning conversations took place within online content-focused coaching cycles. A…

The authors reflect on their experiences of co-teaching mathematics courses for teachers and how their ability to be successful connects to a critical friendship that developed over time. They also discuss how critical friendship and co-teaching supports their development as teacher educators. [For the complete volume, "Cross-Disciplinary,…

This study aims to describe how subjects construct explicit warrant derived from implicit warrant when completing mathematical proof. This research was conducted on seventeen students of mathematics education study programs by providing tests on vector material in elementary linear algebra courses. The test results show that there are four…

Exponential functions are an integral component of the secondary mathematics curriculum with which students struggle. Inherent difficulties students have had around the topic of exponential functions suggested a need for thinking about and examining the teaching and learning related to this content. This study presented the mathematical ideas made…

Quantitative Reasoning (QR) is essential for today's students, yet most higher education institutions have not effectively addressed this issue. This study investigates students' quantitative reasoning in STEM and Non-STEM math pathways using a non-proprietary, NSF grant-funded instrument, the Quantitative Literacy & Reasoning Assessment…

All students deserve access to a rich and meaningful math curriculum. This book guides middle and high school teachers toward providing all learners -- including neurodiverse students -- with the support necessary to engage in rewarding math content. Students who receive special education services often experience a limited curriculum through…

Big Ideas in school mathematics can be seen as overarching concepts that occur in various mathematical topics in a syllabus. Although there has been much interest recently in the understanding of Big Ideas, there is little research done in the assessment of Big Ideas thinking. In this paper, we discuss our research on Big Ideas in School…

The current study explored the reasons for students' preferences for the teach-first and task-first lesson structures, and whether students' preferences were influenced by their perceptions of the teacher's preference. Students (n=18) from two composite Year 3 and 4 classes (aged 8-10 years) completed a post-lesson drawing task and participated in…

The phenomenon of teachers designing their own instructional materials is gaining more attention in research. Different aspects of this enterprise have been examined--its potential to reveal the complexity of teachers' instructional planning considerations, the design principles employed by teachers to realise instructional goals, among others. In…

Aim: The main purpose of this study was to investigate the impact of teacher's pedagogical content knowledge (TPCK) on students' academic performance in circle theorem. Methods: The study used a mixed-methods research approach and a sequential explanatory design with a sample 210 students selected through the probability systematic sampling…

This article presents the analysis and discussion of solving geometry tasks by Portuguese Basic Education students, using material from the Poly-UNiverse in Teacher Training Education (PUNTE) project. The teaching experience developed was aimed at testing and disseminating new resources, and innovative and transdisciplinary methodologies in the…

A critical challenge for elementary mathematics teachers is meeting the learning needs of all students, especially when there is variability in students' number knowledge. Because young students' number system knowledge (NSK) contributes to future success in mathematics, NSK activities must be designed to engage all students, particularly students…

In this paper we discuss findings of a study that investigated the resources and language that teachers in Malawi use to teach the concept of zero. In Malawi primary schools, textual resources available to teachers are mainly the curriculum materials in the form of syllabus, teacher guides and learner textbooks. The syllabus and teacher guides are…

Digital learning ecosystem plays important roles for transforming teaching classroom into learning community. This article used a mixed method to (1) explore the teaching and learning activities and components of a digital learning ecosystem through eighteen in-depth interviews and six observation classroom teachings of three subjects (English,…

Curriculum resources such as textbooks and lesson guides communicate messages about the social relations between the teacher, students, artefacts, and the mathematics. Because of their implicit nature, these messages can be hard to surface and perhaps therefore are not frequently covered in curriculum resource analysis. Tackling this shortcoming,…