The aim of mathematics education research is to develop comprehensive understandings of the problems of mathematics teaching and learning, and the ambition is, at least in the long run, to support the development of institutionalised teaching-learning practices. Looking back at the attempts to structure syllabi and other curricular materials and…

In the late 1800s and early 1900s, increases in metallurgic technology and better manufacturing methods made naval artillery a more powerful force. Guns could fire more powerful shells that could travel farther and hit a target with much greater accuracy. Torpedoes represented a major threat to even the most powerful of warships, forcing captains…

Monolingual content assessments of multilingual students remarkably fail their most essential endeavor--to provide meaningful information about their content proficiency. Multilingual students take years to catch up with their monolingual peers in terms of language proficiency, and it is inappropriate to assess them using a language that they do…

The Vale and Maurelli algorithm is a widely used method that allows researchers to generate multivariate, nonnormal data with user-specified levels of skewness, excess kurtosis, and a correlation structure. Before obtaining the desired correlation structure, a transitional step requires the user to calculate the roots of a cubic polynomial…

Ritual teaching, which provides students with ritual opportunities to learn, is common worldwide, notwithstanding extensive research calls for more reform-oriented teaching. Such resilience to change suggests that there are gains for ritual teaching. Therefore, in this study, we search for possible goals of ritual teaching. For this purpose, we…

Mistakes are a window into students' mathematical understanding. Taking the time to analyze mistakes can inform you of where students are in their thinking. They can also guide you with respect to how to proceed with instruction. Introduced here are two categories of mistakes: meaty mistakes and minor mistakes. Meaty mistakes demonstrate gaps in…

The purpose of this article is to contribute to the discussion of mathematics teacher knowledge, and the question of what makes it specialized. In the first part of the article, central orientations in conceptualizing mathematics teacher knowledge are identified and the more serious limitations of the grounds on which they stand are explicated. In…

Problem solving lies at the core of engineering and remains central in school mathematics. Word problems are a traditional instructional mechanism for learning how to apply mathematics to solving problems. Word problems are formulated so that a student can identify data relevant to the question asked and choose a set of mathematical operations…

We study the distributional effects of remote learning. Our approach combines newly collected data on parental preferences with administrative data from Los Angeles. The preference data allow us to account for selection into remote learning while also studying selection patterns and treatment effect heterogeneity. We find a negative average effect…

Absolute standing feedback has shown greater psychological impact than relative standing feedback. The purpose of this experiment was to examine whether the superior impact of absolute feedback depends on the reward criterion. Participants completed a math test and were randomly assigned to one of the eight conditions in a 2 (reward criterion:…

This study proposed a low-cost, easy to set up and easy to modify virtual classroom simulation environment, "CartoonClass," and tested its impact on 27 pre-service primary school teachers' noticing development during a semester-long mathematics methods course. The participants' perceptions of using CartoonClass were also examined. A…

Children's informal and formal learning experiences with geometric shapes currently result in misconceptions that persist into adulthood. Here, we combine research from mathematics education as well as cognitive science pertaining to concepts, categories, and learning strategies to propose a more optimal progression that is better specified and…

Examining teachers' knowledge on a large scale involves addressing substantial measurement and logistical issues; thus, existing teacher knowledge assessments have mainly consisted of selected-response items because of their ease of scoring. Although open-ended responses could capture a more complex understanding of and provide further insights…

Although many textbooks on multivariate statistics discuss the common factor analysis model, few of these books mention the problem of factor score indeterminacy (FSI). Thus, many students and contemporary researchers are unaware of an important fact. Namely, for any common factor model with known (or estimated) model parameters, infinite sets of…

The purpose of this study was to compare the problem posing skills of gifted and non-gifted primary school students. In this study, the case study method was used. The participants who were selected by convenient sampling consisted of 24 gifted and 24 non-gifted students attending from the East of Black Sea region of Turkey. The data in the study…