The questions that teachers ask to elicit student reasoning are among the most important aspects of productive mathematics talk. These questions--often referred to as "press for reasoning"--offer teachers an effective tool for helping students explicate the concepts and principles that undergird their strategies (Kazemi and Stipek 2009).…

The aim of the research is to examine preservice science and preservice mathematics teachers' mathematics anxiety and beliefs about the nature of mathematics, as well as to reveal whether they differ according to the teacher training program. Moreover, this study investigates whether there is a relationship between beliefs about the nature of…

When examining success in mathematics education, it should be taken into consideration that it is important to examine teachers' work with their resources. In this study, it is aimed to examine this work through the processes of using and transforming the resources into documents. In this context, the "Documentational Approach to…

Mathematics education can be positioned as fertile ground for societal change. This article deconstructs the complex work of supporting students' positive mathematical identities by introducing pedagogical fluency to embody equitable beliefs and practices. Embodying equitable beliefs and teaching practices can systematically build a transformative…

Wenger's theory of learning proposes the concepts of "participation" and "reification" as dimensions of educational design. Based on this proposal, this position paper looks at the design of one Mathematics Professional Development Program (MPDP) through the lenses of these concepts. We argue that the "reification"…

Mathematics teachers make a number of decisions that shape their lessons, which therein impact their students' opportunity to learn mathematics. Past research has often focused on teachers, students and the mathematical content as key classroom elements that drive teachers' decisions. In this article, we propose that a fourth element -- the…

In this paper, a simple and multiple linear regression model has been developed to analyze and compare math test results of two student groups in the medical high school "Rezonanca", more precisely the students of the two tenth grades in the subject of mathematics of classes X- 3 and X - 7. This paper also presents some exam exercises,…

Robot toys can be used to promote STEM subjects, particularly coding and mathematics. The lesson described in this article illustrates how a robot toy was used with a number line to explore equality and missing addends in Year 1. The lesson progression models how activities can be sequenced to build on developing understandings while supporting…

Spatial reasoning is identified as a Numeracy general capability in the Australian Curriculum, and more globally as a significant precursor to mathematics proficiency. Currently, the literature surrounding mathematical-spatial relations remains largely removed from classroom practice. This paper provides a reflection on the spatial cognition field…

Research has shown that tape diagrams are beneficial for algebra learning. However, it is unclear whether certain visual features of tape diagrams have implications for learning. We investigated, with undergraduate students and math teachers, whether tape diagrams with different visual features (color, presence of outer lines, and position of the…

Many incoming college freshmen who do not meet minimum standardized exam cut-score requirements are often determined to be not ready for college level coursework and registered for pre-requisite, multi-semester, remedial course sequences. The goal of pre-requisite courses is to prepare students for college-level courses prior to enrollment in…

Providing instruction in a student's home language through bilingual education has proven to be academically beneficial for multilingual learners (MLLs). The present study contributes to this literature by examining the possibilities and limits of a professional development program (Mathematics and Language Literacy Integration [MALLI] in Dual…

We present a so-called 'study and research path', designed for advanced high school teaching in the context of a master's thesis project, along with an outline of the mathematical and didactic background. The aim of the paper is to present and discuss an adaptation of Chevallard's 'paradigm of questioning the world' to currently prevailing…

Research shows that though some students can easily find the correct solutions to the problem(s) at hand, the algorithms that these students create are not always ones that would, when implemented, produce the correct solution(s). Towards shedding light on this phenomenon, the present study explicates a mechanism--accounting for features of the…

The teaching of fractions is often identified as the point in primary school instruction when the "wheels tend to fall off". While there could be many reasons for this, the overuse of one 'preferred' resource at the expense of a range of representations will often create gaps in understanding at best, and misconceptions at its worst. In…