This 2-year qualitative case study focuses on one emergent mathematics teacher leader, Mr. Miller, and his conceptualization of Social Justice Mathematics (SJM). SJM is a justice-oriented pedagogical approach where students simultaneously learn dominant mathematics and explore social injustices to take action toward justice. Using Rodriguez's…

The objectives of this research were: 1) to study the components and indicators of learning management competency for mathematics teachers to enhancing analytical thinking; and 2) to examine the consistency and fit of a proposed model describing the components and indicators for enhancing the learning management competency of mathematics teachers…

There has been a consensus that students' conceptual understanding of mathematical operations (such as multiplication) can be developed through communication about multiple representations. However, learning opportunities have often appeared to be limited to surface translations (in which only obvious similarities such as numbers have been…

"Elevating clinical practice in mathematics education" has potential to greatly transform the preparation of effective mathematics teachers. In the current climate of education, clinical practice includes: (1) traditional undergraduates in an educator preparation program, (2) post-baccalaureate individuals who have a degree in another…

This study explores gender-based differences in sixth-grade students' potential for mathematical creativity through the interrelated processes of problem solving (PS) and problem posing (PP), grounded in a multidimensional framework of creativity--encompassing fluency, flexibility, and originality. A total of 346 sixth graders from public schools…

A Spatial Reasoning Mathematics Program (SRMP) was implemented over 20 weeks with 28 mathematically-able 4th-graders as the second phase of a classroom design study. The SRMP embedded transformation skills in 28 interrelated mathematical tasks comprising 2-D/3-D relationships, geometric growing patterns and sequences, directionality, area and…

This report details a set of three tasks used in an exploratory study of pre-service teachers' (PSTs) experiences of task design for the mathematics classroom. The three tasks, which I call the "Orange Dot Tasks," were constructed in Desmos, a dynamic geometry environment (DGE), and participants engaged each task through manipulating…

Background/purpose: The teaching of integral calculus has become increasingly important in higher education due to its role in the development of advanced mathematical thinking. In this context, the definite integral is recognised as a complex mathematical object with multiple interpretations. The present article aims to systematically review the…

In this theoretical article, we propose a conceptualisation of noticing, drawing on our enactivist perspective, which takes account of what is now known about human cognition, and from which we draw out implications for how noticing develops. We review past work on mathematics teacher noticing and note the dominance of a paradigm of taking…

The concept of mathematical modelling is an integral part of modern school mathematics curricula. Therefore, this study aimed to compare the mathematical modelling attitude between Malaysian and United Arab Emirates (UAE) teachers. We conducted a cross-sectional survey study with 413 Malaysian and UAE mathematics teachers as the sample for the…

The efficacy of mathematics interventions for students with mathematics difficulties is a critical concern in educational research, particularly in light of the increasing demand for effective instructional strategies. While previous meta-analyses have explored various aspects of mathematics interventions, our study uniquely focuses on a broad…

We present an example of one of the modelling projects we assign to students in our differential equations classes. Students are asked to determine how to run a cost-efficient hot water heating system. We consider a cylindrical tank filled with water and heated by a heating element immersed in it. Together with students we discuss physical laws…

In this article, the authors share their favorite "Construct It!" activity, which focuses on rate of change and functions. The initial approach to instruction was procedural in nature and focused on making use of formulas. Specifically, after modeling how to find the slope of the line given two points and use it to solve for the…

Terence Mills introduces us to Keynsian probability and discusses its implications for teaching probability. The author considers it unlikely that Keynes's theory would replace how we teach probability, but argues that it may make us think more deeply about the use of terms such as chance and probability when used in our lessons.

This article features a fifth grade mathematics exploration planned to facilitate students' productive struggle. The exploration was a catalyst for a team of educators to unpack the teacher's experience when facilitating students' productive struggle. The team called this "teacher productive struggle" and shares about the construct…