This study aimed to explore preservice elementary teachers' use of a bar model as a heuristic for conceptualising relationships between quantities in situations involving ratio and percentages. As a part of a larger project, we focused on two preservice teachers, Maia and Jane, and investigated their solution paths in ratio and percentage problems…

Finding opportunities for elementary preservice teachers to engage in mathematics for themselves and to collaborate in their enquiries was the focus of this study, carried out at two English Universities. Preservice teachers on 1-year postgraduate programmes engaged in shared mathematics enquiry, with a focus on growing patterns. We conducted…

Dominant cultural beliefs contend that mathematics is exclusive; only some have access to "the gift." Within classrooms and amidst everyday vernacular, scripts about mathematics and who can "do" mathematics reify such traditional beliefs. Mathematics teacher educators work with preservice teachers (PSTs) to challenge such…

In recent years, numeracy has had an increasing focus in the Australian educational system, with policies and assessments in place for both students and teachers. In order to address the requirements of their careers, teachers need to have sufficient numeracy capabilities. In our study, we explored the numeracy capabilities of post-graduate…

Programs that provide underserved populations with access to high-quality mathematics through workshops, clubs, and classroom observations (Civil, Stoehr, & Salazar, 2019; Civil & Bernier, 2006; Diaz-Palomar, Menendez, & Civil, 2011; Jimenez-Castellanos, Ochoa, & Olivos, 2016; Muir, 2011, 2012; Quintos, Civil, & Bratton, 2019)…

Despite teacher enjoyment of teaching being associated with a range of benefits for teachers and their students, little research exploring the characteristics of teachers who enjoy teaching mathematics exists. Semi-structured interviews were conducted with ten teachers who scored in the top third in terms of their enjoyment of teaching mathematics…

We conducted a qualitative metasynthesis of research focused on prompts used to elicit noticing following video observations within mathematics education. Forty-nine, peer-reviewed articles were selected based on specific criteria and analyzed using a defined approach to better understand the variations in the prompts mathematics teacher educators…

Previous studies of prospective elementary mathematics teachers' mathematics anxiety have documented that many prospective teachers often worry about managing their repeated experiences of anxiety while developing their pedagogical and content knowledge to teach mathematics. The literature further indicates the importance of developing learning…

This study aims to document and examine mathematics teacher educators' (MTEs) knowledge sources in teacher education practices. The study adopts a mixed-method, embedded research design. Data were collected via a questionnaire with elicitations about MTEs' descriptive features as well as with open-ended items. Target population was all MTEs…

Math anxiety is a negative affective reaction in situations concerning mathematics and is related to poor math performance and a lower mathematical self-concept. Gender differences appear in math anxiety even though gender differences in math abilities are non-existent or minimal in effect size. In the present study, gender and age differences in…

Determining preservice teachers' competence in proportional reasoning is a very complex task, and existing research methods do not provide effective tools in doing that. This study describes an interview structure and application of it in determining preservice teachers' competence in proportional reasoning. The interview structure consists of…

This study aimed at investigating how preservice teachers' understandings of division and reasoning about ratios support and constrain their formation of proportional relationships in terms of quantities. Six preservice teachers from a middle-grade preparation program in the USA were selected purposefully based on their mathematics performance in…

The aim of this article is to carry out a work of networking theories which combines two perspectives on the mathematical activity involved in a modelling process, in order to answer the following question: To what extent does the application of the onto-semiotic tools complement the analysis from a cognitive perspective of a mathematical…

The purpose of the current study was to explore pre-service middle school mathematics teachers' personal concept definitions of a trapezoid, parallelogram, rectangle, rhombus, square, and kite. The data were collected by a self-report instrument through which the pre-service teachers provided their answers in written form. The participants'…

For many decades, problem solving has been a focus of elementary mathematics education reforms. Despite this, in many education systems, the prevalent approach to mathematics problem solving treats it as an isolated activity instead of an integral part of teaching and learning. In this study, two mathematics teacher educators introduced 19 Irish…