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…

This article discusses five strategies that have been frequently taught to teachers, but less frequently implemented by teachers, and that impact student learning, namely: teaching skills in games contexts, using small-sided games, starting lessons immediately, teaching beyond the standards, and teaching skills and games in an incremental manner.…

"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…

The sequence of study influences how we learn. Previous research has identified different sequences as potentially beneficial for learning in different contexts and with different materials. Here we investigate the mechanisms involved in inductive category learning that give rise to these sequencing effects. Across 3 experiments we show evidence…

Young children are remarkably flexible reasoners insofar as they modify their inferences to accommodate the conceptual information or perceptual relations represented in an inductive problem. Children's inductive reasoning is highly sensitive to what evidence is presented to them. Four experiments with 115 preschoolers (M[subscript age] = 4;8) and…

Sequential context effects, the psychological interactions occurring between the events of successive trials when a sequence of similar stimuli are judged, have interested psychologists for decades. It has been well established that individuals exhibit sequential context effects in psychophysical experiments involving unidimensional stimuli.…

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…

An evaluation of the national curriculum by practitioners suggests that learning materials across school levels still overlap, are irrelevant to student development phases and competencies required, too challenging for students to learn, too broad in terms of topics, and lacking in depth. This evaluation encourages the needs for special studies…

Given the increasing number of individuals diagnosed with autism spectrum disorder (ASD), there is a critical need to develop programs that facilitate positive behavior outcomes during the transition to adulthood. Furthermore, many adults with ASD do not have access to intervention programs due to remote locations, lack of qualified personnel,…

Interventions often require multiple decisions to improve outcomes for every student. Whether the decision to implement a practice, tailor an existing protocol, or change approaches, these decisions should be based on individual variables and outcomes via a sequence of treatment. To develop adaptive interventions that have sufficient evidence to…

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…

Background: Analogical mapping is a domain-general cognitive process used notably in language development, and particularly in the abstraction of construction schemas. Children with developmental language disorders (DLD) display an impairment in linguistic productivity and creativity, which can be linked to a lack of generalization of construction…

When planning a Key Stage 3 curriculum with his department, Will Bailey-Watson began to question some of the common sense orthodoxies regarding chronological sequencing and curriculum design. Drawing on pre-existing debates about curricular structuring in the history education community both in England and internationally, Bailey-Watson identified…

Purpose: To describe student learning when physical education teacher and students attempted to develop movement capability. Methods: The study reports on the implementation of a 10-lesson pedagogical sequence. Data were generated using observations, interviews, and student diaries with one grade 9 class (26 students aged approximately 15 years)…

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…