In this paper, we consider the issues involved in creating appropriate problems for a popular mathematics competition, and how such problems differ from problems typically encountered in a classroom. We discuss the differences and similarities in school curricula versus the generally agreed upon topics encountered in international competitions.…

Competitions and related activities are an essential part of mathematics education for gifted students. China has been one of the most successful countries in recent decades in the International Mathematical Olympiad. To illustrate the Chinese experience of mathematics competitions, in this paper we first present a historical sketch of Chinese…

Semiotics is the study of symbols and the creation of their meaning through social interactions. In this paper, we explore more deeply the socially situated nature of semiotics by extending current semiotics theories and frameworks from the perspective of emergent modeling. The first expansion is to replace the interpretant (meaning associated…

Whilst spatial reasoning skills have been found to predict mathematical achievement, little is known about how primary (elementary) students' conceptual understanding of three-dimensional objects develops. In this article, we report a qualitative study and the impact of rich learning experiences on 48 Years 3-6 students' geometric reasoning…

This research aimed to collect the experiences and opinions of pre-service mathematics teachers on the use of maps in mathematics teaching. The case study design, a qualitative research design, was used in the research. Eight volunteer pre-service teachers attending the primary school mathematics teaching program of a state university in the…

In organizations, teams are ubiquitous. "Weakest Link" and "Best Shot" are incentive schemes that tie a group member's compensation to the output of their group's least and most productive member, respectively. In this paper, we test the impact of these incentive schemes by conducting two pilot RCTs (one in-person, one online),…

This book is about scientific inquiry. Designed for early and mid-career researchers, it is a practical manual for conducting and communicating high-quality research in (mathematics) education. Based on the authors' extensive experience as researchers, as mentors, and as members of the editorial team for the Journal for Research in Mathematics…

Cover-Copy-Compare (CCC) has been identified as an empirically supported and socially valid intervention for promoting math fact fluency across instructional settings. However, limited research has investigated the effectiveness of CCC as a math fact fluency intervention within the setting IV environment with even fewer studies including…

Students are entering postsecondary institutions without the mathematical skills needed to be successful in science, technology, engineering, and mathematics majors (STEM), leading to a shortage of qualified graduates. Consequently, institutions must identify ways to increase satisfaction and performance in mathematics. Mindset theory, with…

We conducted a randomized control trial assessing the effects of two variants of word-problem intervention with third graders (n = 304) experiencing mathematics difficulty. Students were assigned to a business-as-usual condition (BaU) or one of two variants of word-problem intervention. One variant included a pre-algebraic reasoning component…

The purpose of this research project was to investigate the effect of the Think Through Math (TTM) online tutorial on student achievement in mathematics and student self-perception in mathematics ability. The treatment group consisted of 140 fifth grade students who received general instruction and daily access to TTM. The control group consisted…

While teaching math for social justice and equity has become a heavily researched topic in recent decades with Jo Boaler (2008, 2015, 2016), Rochelle Gutierrez (2009, 2013), and Eric (Rico) Gutstein (2003, 2006, 2007, 2013) emerging as recent leaders in the charge, the focus has consistently remained on traditional classroom teaching (e.g. Boaler,…

The Home Numeracy Environment (HNE) is an essential factor that helps explain children's numeracy skills. Research in this field has been developed mostly focused on monolingual English-speaking families. More recent studies have analyzed this construct for Latine families using existing HNE measures. However, the existing HNE scales have not…

The research is clear; the formative assessment process positively impacts student achievement. However, it is a complex process which is often implemented unsuccessfully in classrooms. Teachers lack a true understanding of how to use formative assessments techniques to make instructional adjustments in a continuous and ongoing manner through the…

Educators come to the classroom with a range of prior experiences with mathematics and with teaching (Bullough, 1997; Horn et al., 2008; Lortie, 1975). In addition, research has shown that prior experience with mathematics can drastically impact educators' feelings, beliefs, and views of themselves as math teachers (Graven & Lerman, 2018;…