Mathematics achievement is positively associated with coding in the classroom. By making mathematical relationships visible to students as they code, teachers leverage rich connections between block-based computer programming and mathematical sense making. In this article, the authors describe strategies for adapting a Code.org lesson integrating…

This paper documents the process and outcome of the development and validation of a coding scheme to analyse mathematics classroom discourse in the context of Hong Kong primary schools. The objective of this coding scheme was to systematically analyse teacher discourse behaviours before and after an intervention programme; the programme aimed to…

Noticing students' mathematical thinking is recognized as a key element of effective instruction, but novice teachers do not naturally attend to and make sense of student thinking. We describe a design experiment in which prospective teachers were engaged in analysis of minimally edited classroom video in order to support their ability to notice…

For children with persistent mathematics difficulties, research and practice espouses that an altered kind of mathematics instruction is necessary due to sustained performance differences. Yet, a critical issue in mathematics education rests in the question of why research locates the problem within these children. In this paper, we challenge a…

Increasingly, students are expected to write about mathematics. Mathematics writing may be informal (e.g., journals, exit slips) or formal (e.g., writing prompts on high-stakes mathematics assessments). In order to develop an effective mathematics-writing intervention, research needs to be conducted on how students organize mathematics writing and…

This manuscript reviews the empirical literature of the TouchMath© instructional program. The TouchMath© program is a commercial mathematics series that uses a dot notation system to provide multisensory instruction of computation skills. Using the program, students are taught to solve computational tasks in a multisensory manner that does not…

The importance of actively engaging in mathematics discourse in order to learn mathematics is well recognized. In this paper, I use Basil Bernstein's concepts of pedagogic discourse to document and analyse academic learning time of students in Years 8 and 9 at a suburban lower secondary school: in particular, for what proportion of class time…

This review investigates effective interventions for teaching algebra to students with learning disabilities and evaluates the complexity and alignment of skills with the Common Core State Standards in math. The review includes the results of 10 experimental and 5 single-subject designs (N = 15) producing a moderate overall effect size (g = 0.48).…

We developed an intervention based on the learning by teaching paradigm to foster self-regulatory processes and better learning outcomes during complex mathematics problem solving in a technology-rich learning environment. Seventy-eight elementary students were randomly assigned to 1 of 2 conditions: learning by preparing to teach, or learning for…

Reform efforts in mathematics education arose, in part, in response to constructivist works on conceptual learning. However, little research has examined how students with learning disabilities (LD) respond to constructivist-oriented instruction in mathematics, particularly in moment-to-moment interactions. To understand the nature of…

The finding that academic summer programs are effective for low income students has been replicated across meta-analytic reviews. However, these reviews have yielded contradictory evidence about whether summer programs are more effective for lower- or higher-income students. This discrepancy may be due to income-based differences in the summer…

Research on problem-based learning (PBL) has tended to focus on the graduate level of education, paying less attention to the primary school level and to what is involved for students during the implementation of PBL. In this paper we take a step towards addressing this need for research by reporting findings from a descriptive, explanatory case…

This article examines how a coding scheme for mathematics classroom discussion that was created to highlight how teachers negotiate student responses during whole-class discussion around high-level, cognitively demanding tasks was used to help teachers shift what they notice when analyzing classroom discourse. Data from an intervention that…

Engaging learners in exploratory problem-solving activities prior to receiving instruction (i.e., explore-instruct approach) has been endorsed as an effective learning approach. However, it remains unclear whether this approach is feasible for elementary-school children in a classroom context. In two experiments, second-graders solved mathematical…

Helping low-achieving students with learning disabilities and/or emotional-behavioural difficulties to develop the component skills for Self-Regulated Learning (SRL), such as setting and monitoring learning goals, is important for their success, both in and beyond school. This study examined the effects of a goal setting intervention on…