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…

Orienteering is an enjoyable sporting activity, which is believed to contribute to its participants' problem-solving skills. People who are engaged in orienteering is expected to hold a map correctly, find their exact place on the map, read the map, make a plan and carry it out to reach the checkpoint, as well as checking the accuracy of the…

This study investigates the correlates of statistics anxiety. Considering that statistics anxiety and spatial anxiety have been separately correlated with related constructs (e.g., mathematics anxiety, academic performance, etc.), the possibility that spatial anxiety plays a role in statistics anxiety is explored. When facing statistics or…

Learning is an active enterprise, where three dimensions stand out, cognitive, social, and physical, and, in addition, not all students learn in the same way. Grounded on these ideas, this article reports a study that aims to understand and characterize the performance of pre-service teachers when experiencing active learning strategies during…

The purpose of this study is to provide reliable evidence of the observable correlates of the Aha! moment and what this means for moving from surface to deep thinking. The study analyses facial expressions and body language from video recordings of students solving problems, followed by interviews, focus groups, and surveys. The problem-solving…

Assessment is an issue that is central to the lives of educators and students alike. At all levels, from programmatic to course-specific, instructors strive to assess in a way that accurately measures achievement or progress relative to one's goals. This paper reports on students' experiences with alternative assessments in our undergraduate…

The theoretical reflection on the nature of school algebra and the development of algebraic thinking from the first educational levels is a relevant topic in mathematics education. In this paper, we first summarize and clarify the positions held on this topic by two theoretical frameworks: the Theory of Objectification and the Onto-semiotic…