Accountability pressures and the Common Core State Standards for Mathematics have created complex demands for educators, especially early-career teachers (ECTs). Analyzing longitudinal data, including the social networks of 119 ECTs, we find that ECTs increase their ambitious mathematics instruction when their network members positively interpret…

We posit a dual approach to digital task design: to engineer opportunities for students to conceive of graphs as representing relationships between quantities and to foreground students' reasoning and exploration, rather than their answer-finding. Locally integrating Ference Marton's variation theory and Patrick Thompson's theory of quantitative…

This article explores the approaches used to plan mathematical reasoning tasks by two peer learning teams, one based in regional Victoria and the other in Vancouver, Canada. The results revealed that planning and peer observation support teachers' knowledge of mathematical reasoning and the pedagogy required to promote it.

The paper reflects on a teaching intervention which utilized digital storytelling as an approach for teaching the subtraction algorithm in 2nd Grade. Literature indicates that this is a difficult topic for children of this age. The aim was to examine if through digital storytelling, students find it easier to understand and apply the two…

The non-learning of school mathematics is now almost universally taken for granted, but this does not have to happen. This article takes a critical look at the root of this non-learning by pointing to the flagrant defects in the kind of mathematics--to be called TSM--that is predominant in almost all the school textbooks. By analyzing how the long…

Teaching mathematics through problem solving is central to contemporary approaches to mathematics instruction, whilst augmenting problem-solving tasks through enabling and extending prompts ensures that a diverse community of learners are provided with opportunities to be optimally challenged, supporting an inclusive classroom environment.…

Worked-examples have been established as an effective instructional format in problem-solving practices. However, less is known about variations in the use of worked examples across individuals at different stages in their learning process in student-centred learning contexts. This study investigates different profiles of students' learning…

Emphasis in teaching and learning statistics has shifted from memorizing formulas and procedures to investigating situations, creating models, and using data to understand problems. The Common Core State Standards for Mathematics (CCSSM) (NGA Center and CCSSO 2010) Grade 8 Statistics and Probability content standards drive this point home.…

Early childhood teachers often wonder if they are doing everything they can to make sure that their students are prospering in their classrooms. Because children and families bring their culture with them to school, teachers must recognize the importance of including these cultural aspects of their students and must have clear strategies that…

This study reports the classroom mathematical practices proposed in an instructional sequence grounding on the principles of inquiry-based learning (IBL) through the use of the dynamic geometry software (DGS) in learning to teach geometric transformations. A 5-week instructional sequence consisting of IBL activities that were guided by the…

Most likely a large number of students have heard of the Northern Lights (Aurora Borealis), and know that they are a phenomenon in the sky. Although they may not have seen the Northern Lights, most have probably seen other phenomena in the sky, such as a rainbow, shooting star, or super moon. These experiences provide an opportunity for students…

Based on the novel framework of Academic Agency, this study explored how a teacher's sense of efficacy, commitment, and knowledge influenced their overall sense of responsibility in instructing all children in the science of mathematics. This study employed a two-phase data collection process in which surveys, classroom interviews, and…

When students enter higher education, they can encounter the feeling of unpreparedness. In fact, students who lack the appropriate prior education are less prepared. Therefore developing and implementing appropriate interventions for incoming students is important. This study examined the effectiveness of two new interventions at the Faculty of…

Teachers are continually in search of tasks that balance the dual priorities of rigorous thinking and fluency development. These often-competing priorities are emphasized by national-level organizations as well as by state-level standards and assessments. The National Council of Teachers of Mathematics (NCTM) calls for school mathematics…

To investigate whether child × instruction effects contribute to mathematics gains in first grade, we conducted a cluster randomized controlled trial with 454 (205 treatment; 249 control) students in 28 classrooms. Classrooms were randomly assigned to implement Math Peer Assisted Learning Strategies (Math PALS) to supplement Saxon Math or Saxon…