Faded worked examples have been used to promote problem solving performance, such as mathematics performance in many laboratory studies and short-term classroom studies. However, few studies have examined the ways educators may use fading in their own classroom on more accessible platforms that do not require programming experience. Further, few…

We offer this synthesized framework as a tool to reveal mathematical activity in a non-formal makerspace. In particular, we connect research at different grain sizes to illustrate and explain how mathematics plays a crucial, if often implicit, role in this activity. We begin with describing the Approximate Number System and the Ratio-Processing…

As more educators integrate their curricula with online learning, it is easier to crowdsource content from them. Crowdsourced tutoring has been proven to reliably increase students' next problem correctness. In this work, we confirmed the findings of a previous study in this area, with stronger confidence margins than previously, and revealed that…

This study aims to explore seventh-grade students' understanding of negative integers as they engaged in mathematics history integrated model-eliciting activities in small groups. For this educational case study, we designed model-eliciting activities based on six design principles of the models-and-modeling perspective that incorporated history…

Mediated Field Experiences (MFEs) provide teacher candidates (TCs) structured opportunities to unpack and enact core teaching practices, gain mathematics content and pedagogical knowledge, and reflect critically on mathematics teaching and learning. In this paper we present findings from a multi-institutional descriptive pilot study that…

It is indisputable that one of the factors connected to improvements in the quality of education is the implementation of relevant curricular reform that is pertinent to the culture and needs of the given country. This study aimed to comprehensively investigate how the adaptation from an exogenous curriculum was attempted through analysing the…

The formula for the variance of a binomial distribution is both concise and elegant. However, it is often taught without reference to the underlying reasoning. That being the case, is it important, or useful, to understand why this formula can be used to calculate the requisite result? In this article, the author demonstrates a teaching sequence…

Teaching mathematics to students at the elementary level needs logical thinking, the students have to be encouraged to study hard to improve solving skills. The objective of this study is to improve the learner's problem solving skill in mathematics 2. This research aims to find out how the implementation of the visualize, represent and solve…

The paper explores one episode from a larger study, where a multilingual student (10-year-old) described her understanding of what makes a shape 2D or 3D. Bakhtin's dialogic theory and Garfinkel's ethnomethodology inform the theoretical framework. Transcribed data of the episode is presented, which is analysed at micro-level and macro-level. The…

Although game based learning has been widely utilized by the military, education, marketing, and advertising sectors, its effectiveness as a learning strategy or training tool is still unclear (Ariffin, Oxley, & Suliman, 2014). The present study addresses this gap and examines the effectiveness of using game based learning in primary school…

Some elementary students may exhibit challenging externalizing or internalizing behaviors in addition to difficulty with mathematics. In this study, we explored the behavioral patterns of 441 3rd-grade students with and without mathematics difficulty (MD). Compared to students without MD, students with MD demonstrated higher rates of externalizing…

The paradigm shift from traditional didactic instruction to technology-enriched teaching and learning environments significantly benefits learners. Educational technology can visualize abstract mathematical concepts contextually and graphically and allow learners to actively construct this knowledge. This study aims to ascertain the efficacy of a…

The purpose of this study was to identify and characterize the pedagogical content knowledge (PCK) held by secondary mathematics preservice teachers. Task-based interviews were conducted to determine whether evidence of PCK exists in preservice teachers and, if so, what form that evidence took. Participants included preservice teachers near the…

The art of teaching and learning mathematics is rooted in the discourse that takes place between the teacher and students and among students. This discourse creates understanding, recognition of confusion, and corrections that lead to forward progress in learning. However, the type of discourse that occurs in mathematics today differs greatly from…

This research study explored the experiences of this teacher-researcher and eight student-participants in a Montessori-inspired, nature-based mathematical environment. I utilized an action research study framework with a critical event narrative analysis to describe mine and my student-participants' experiences throughout this study, using…