Understanding related to fraction concepts is a critical prerequisite for advanced study in mathematics such as algebra. Therefore, it is important that elementary students form conceptual and procedural understanding of fractional numbers, allowing for advancement in mathematics. The concrete-representational-abstract (CRA) instructional sequence…

The foundation of geometric knowledge and understanding starts in primary school, and in contemporary mathematics education there is an emphasis on identifying learning progressions and trajectories as a way of moving students forward. The van Hiele (1986) theory is well-documented and provides insights into the progression and differences of…

"Patterning" is a cognitive intervention that is unknown to psychologists, but has nevertheless been taught for half a century in nearly all kindergartens and many preschools in English-speaking countries. Patterning is the understanding that a certain rule governs the sequence of items in a series. At the simplest level, if the series…

This study aimed to make a teaching model out of the instructional flows of the teachers teaching engineering chemistry course. Specifically, the study aimed to identify the teaching styles the teachers used in the actually delivery of the chemistry lessons. Thus, this is a descriptive study on the teaching style employed and learning styles…

Building from the evidence-based learning progression in geometric reasoning from the RMFII project, this paper presents data from students' solutions to three problems in geometry and measurement situations to identify key components needed to nurture reasoning. To show emerging analytical reasoning students must coordinate multiple pieces of…

In this paper a didactic proposal is presented which consists of a methodology aimed at secondary level mathematics teachers, the aim of this proposal is to provide the teacher with a tool to design teaching sequences in order to take them to the classroom; These designs have the particularity of incorporating digital technology for the…

This article describes a sequential approach to improvisation teaching that can be used with students at various age and ability levels by any educator, regardless of improvisation experience. The 2014 National Core Music Standards include improvisation as a central component in musical learning and promote instructional approaches that are…

This article describes how a teacher orchestrated a productive mathematics discussion to draw out mathematical knowledge and connect different areas of mathematics following a geometric sequences task. Whenever teachers succeed to engage their students in producing mathematics, it is advantageous for their moves to be analysed, discerned and…

Background: The worked example effect in cognitive load theory suggests that providing worked examples first followed by solving similar problems would facilitate students' learning. Using problem solving-worked example sequence is another way of implementing example-based instruction. Although research has demonstrated the superiority of worked…

Introduction: This article demonstrates the effectiveness of the use of routine-based instruction for teaching sensorimotor-stage object-perception skills to students who have visual impairments (i.e., blindness or low vision) and severe intellectual disabilities. Method: Classroom teachers documented progress toward achievement of object…

Current educational discourse holds that effective pedagogy requires engagement through active student participation with subject matter relating to them. The lack of testing of lessons in series is recognized as a potential weakness in the evidence base, not least because standard parallel designs cannot capture serial interaction effects (cf.…

There is a decades-long history of music education researchers examining characteristics and skills associated with effective teaching and assessing how preservice music teachers develop those competencies. Building on studies of pedagogical content knowledge and the professional opinions of experienced music educators, researchers are now…

"This We Believe" advocates the use of a curriculum that maximizes early adolescent learning by integrating multiple disciplines rather than teaching them in isolation. The development of an interdisciplinary curricular unit is a common assignment in middle grades teacher education programs that seek to prepare teacher candidates to…

Reporting on a Grade 4 teaching and learning sequence, we highlight foundational constructs of measurement and data modelling which are fundamental to competence development in both science and mathematics. The sequence involved students generating and representing measures of their teacher's arm-span, with a focus on the invention and refinement…

In this article, the authors describe the Japanese term "bansho," which refers to the intentional use of board space for facilitating student learning. Bansho offers a structure for sequencing mathematics visually on the board. By purposefully organizing the board space alongside the lesson, teachers can provide students with a framework…