The study assessed the relationship between career preparation, beliefs, attitudes, in-service training, and peer communication of primary school mathematics teachers and their knowledge of students' misconceptions. Seven hundred one Chinese teachers were selected for the test and questionnaire survey. The mathematics teacher test paper had good…

The aim of this study is to examine the concept images of mathematics educators and pre-service elementary mathematics teachers regarding the relationships between the concepts of slope, rate of change and derivative. Four mathematics educators working in different state universities and responsible for Analysis courses, three pre-service…

This article draws from Hiroko Kawaguchi Warshauer's conceptualisation of productive struggle, which capitalises on experiences that elicit struggle, that is, those that require students to 'expend intellectual effort' and that are productive, in the sense that they seek to 'advance thinking and deepen' understanding of mathematical concepts and…

Many problems in real life are full of uncertainty. Probabilistic thinking is one way to solve this uncertainty problem. The personality abilities that are interesting to examine include how independent the students are in facing probabilistic solutions. For this reason, it is necessary to study the probabilistic thinking profile of prospective…

This study focuses on the concept of pairability as a fundamental metaphorical concept in the Cantorian set theory regarding comparison of infinite sets. In this theory, pairability appears in a hierarchical manner of generating and developing as a one-to-one correspondence by arrows in finite, and then in infinite states, a bijection map through…

Inquiry into the teaching and learning of mathematics is a central aspect of the work of both the mathematics teacher and the mathematics education researcher, yet there are profound differences between the practices and processes underlying educational inquiries within each community. These differences are known to hinder implementation of…

This study is an investigation of the possible relationship between clinical interview skills and teacher noticing. In a multiple case study, video-recordings of pre-service teachers' (PSTs') mathematical clinical interviews and their written critiques of a mathematics lesson were examined using qualitative content analysis. Findings suggest that…

Teachers of mathematics and researchers in mathematics education are recommended to be engaged in a creative endeavor. However, creativity cannot be thought of independent of imagination. This article analyzes the relation between imagination and the philosophy of mathematics. The later concept is inclusively concerned with arguments on whether or…

Promoting engagement is crucial for encouraging student participation, interest, and learning in mathematics. Student engagement has been conceptualized as interrelated types comprising behavioural, emotional, and cognitive characteristics. Cognitive engagement, our focus in this paper, relates to students' psychological investment in learning and…

We present evidence of a secondary school teacher's Knowledge of Mathematics Teaching when she teaches linear equations in a word problem setting. We focus on analyzing the examples and mathematics support that she provides her students with during two classes. When faced with contingencies, she takes decisions whereby she adapts or creates…

During the last decades, the study of how learners and teachers of mathematics use the resource of language has contributed to our understanding of mathematics teaching and learning in a variety of classrooms and cultures. Developmental work with mathematics teachers on the particular resource of mathematics teaching talk is more recent. In order…

In teacher education, enhancing pre-service teachers' higher-order thinking skills (HOTs) is very crucial. The effect of comprehensive professional development in assessment for learning (AfL) on pre-service teachers' HOTs in an algebra course was investigated using a nonequivalent group quasi-experimental design. A total of 129 pre-service…

Advanced mathematics is seen as an integral component of secondary teacher preparation, and thus most secondary teacher preparation programs require their students to complete an array of advanced mathematics courses. In recent years, though, researchers have questioned the utility of proposed connections between advanced and secondary…

In this paper, we describe how pre-service teachers portray stereotypical mathematics teachers. Using longitudinal data -- from 2007 to 2020 -- of pre-service teachers' drawings (N = 767), we report on four clusters of stereotypical mathematics teachers. In all clusters, we find significant gender differences. Stereotypical teachers in two…

Advancements in computing have led to increased interest in integrating computational thinking in the K-12 curriculum. Computational thinking can be defined as a problem-solving process with the goal of developing algorithms that can be coded for computer use. With its emphasis on problem solving, the processes associated with computational…