According to the Association of Mathematics Teacher Educators (AMTE, 2017), teachers should first try to see problems through their students' eyes, anticipate, understand, and analyze students' varied ways of thinking, and respond appropriately. In this study, we engaged preservice teachers (PTs) in planning to implement problem-solving tasks;…

The National Council of Teachers of Mathematics (NCTM) advocates for all students to have inspiring and positive mathematics experiences. This article surveys four key recommendations that can serve as catalysts for achieving an equitable mathematics education for each and every student. The recommendations are official positions of NCTM and are…

This study examined the effect of implementing personal devices into a fifth-grade mathematics classroom. Thirty-eight fifth graders participated in this eight-week project with a focus on six students to track their growth. During this study, students engaged in technology-based stations that pertained to our geometry unit and coordinate unit.…

The impetus for this article was a university-school research project (Teaching Perimeter and Area in a Primary Classroom) and it was while working with Lani, a Year 4 teacher, that the role of reflection both 'in and on' her practice (Schön, 1983) became evident. Lani was subsequently interviewed about her reflective practices and the new…

Using data from 23 statistics instructors and 1,924 students across 11 post-secondary institutions in the United States, we employ multilevel covariate adjustment models to quantify the sizes of instructor and instructional effects on students' statistics attitudes. The analysis suggests that changes in students' statistics attitudes vary…

Developing multiplicative reasoning is an important milestone for elementary school students, which influences their learning of later mathematical concepts (Hackenberg and Tillema 2009). For children to conceptually understand multiplication, one should move beyond merely counting by ones to dealing with composites (twos, fives, etc.) and other…

The learning process of constructing concepts in mathematics can be supported by visualization in graphical, numerical, and symbolic representations. However, previous research suggests that students have not fully taken advantage of the opportunities provided by these technologies. Two key factors, including mathematics conception and mathematics…

In a three-phase study, with a total of 40 third-grade teachers and their 830 students, teachers were supported to use classroom assessment techniques (CATs) to reveal their students' knowledge of number operations. In phase I, four teachers and 66 third-grade students participated in five monthly workshops in which CATs were co-designed and their…

Conventional word problems can't help students build mathematical modeling skills. on their own. But they can be leveraged! We examined how middle and high school students made sense of word problems and offer strategies to question and extend word problems to promote mathematical reasoning.

This paper initiates a discussion around the potential of Dynamic Measurement, an alternative approach to geometric measurement that focuses on how space is generated, and thus measured by the lower-dimensional objects that define it. I use data from a series of design experiments with fourth-grade students to illustrate some forms of reasoning…

In this work we present the design of a computer-based environment aimed at engaging primary school children in argumentative practices while solving a story problem. Argumentation has been regarded from two points of view, both as a process and as a product. Students, using the collaborative tools offered by the platform, co-constructed shared…

The Australian Professional Standards for Teachers identify a range of supposedly demonstrable capabilities for graduate teachers. Elaborations privilege the realization of Standards through mentoring, and feedback from senior colleagues. As manifestations of the logic of neo-liberalism they operate as audit technologies for pre-service teachers…

Mathematics teacher educators can use video clips of children solving mathematics problems to help teacher candidates attend to nuanced aspects of teaching and learning mathematics. However, the process of selecting and using video clips to support teacher candidates' learning to teach mathematics is underexplored as are the ways in which…

This article provides an example of how one sixth-grade classroom teacher and an instructional coach built a bridge for students in a grade 6 self-contained classroom to support their conceptual understanding and procedural fluency with dividing fractions. Baseline data showed that most of the students in this class had mastered only the…

Global neoliberal imperatives that numerically measure student success through standardized testing undermine the educational outcomes of students, in particular Indigenous students, and construct a seemingly fixed reality that avoids State responsibility to address structural inequality in Australia. Achievement gaps between Indigenous and…