This study extends prior research by manipulating both intervention and skill difficulty using a multiple baseline across participants design with changing phases in a virtual tutoring environment. Participants were four U.S. students from third and fifth grades for whom appropriate and challenging instructional targets were selected following…

The research reported in this paper analyses teaching dilemmas experienced by four in-service teachers in the context of a reform-oriented teaching approach for primary mathematics called Developmental Education in Mathematics (DEM). The findings exemplify three teaching dilemmas: Whether to tell students how to solve a challenging task; what to…

Primary school pupils with hearing impairment face various obstacles to their academic and personal growth. The main aim of the study was to reveal the impact of the use of gamification methods on the mathematic achievement of primary school pupils with hearing impairment. This study used a pretest/posttest experimental strategy. The experiment…

Providing students the autonomy and choice to learn when productive struggle becomes unproductive is a core teaching belief in the author's classroom. The author teaches in a multiage classroom where he has 16 first- and second-grade students, ages 6, 7, and 8. Like other educators, he believes in the importance of productive struggle. The author…

This study was carried out in order to determine how the 3rd grade students of the Department of Elementary Mathematics Education structured their "if and only if propositions". The data were obtained by examining the students' answers given to the midterm exam questions and discussing the solutions with the students in the classroom.…

This study expands and complicates ideas about what makes text complex in picturebooks. The study involved multimodal analysis of one visually and scientifically complex picturebook, "Gravity," by Jason Chin. The authors also analyzed a transcript of three third graders discussing the text. This analysis illuminated how student talk…

Pictorial representations are often used to help children understand the situation described in a given number-sentence scheme. These static pictorial problems essentially attempt to depict a dynamic situation (e.g., one bird flies away while there are three birds still sitting on the fence). Previous research suggested that such pictorial…

Educators' support when using informational text in kindergarten is foundational to children's comprehension and future learning. Prior research has not offered clear insight into their help when children experience difficulties during informational text comprehension instruction. The current study examined one kindergarten educator's support.…

In this qualitative case study, we investigated the role of an advanced math curriculum with language scaffolding on the development of geometric and visual-spatial reasoning skills in young mathematically promising English learners (MPELs). Specifically, we examined the effects of providing MPELs with challenging and supportive math curriculum to…

The use of different registers to represent mathematical concepts enhances understanding. For example, rational numbers can assume pictorial, symbolic and natural language representations and this kind of change improves learning. Based on these assumptions, a teaching experiment for the learning of rational numbers by 2nd grade students was…

A vast majority of elementary students struggle with the core, pre-algebraic concept of mathematical equivalence. The Improving Children's Understanding of Equivalence (ICUE) intervention integrates four research-based strategies to improve outcomes for second grade students: (1) introducing the equal sign before arithmetic, (2) non-traditional…

This article is the next in our series of papers that was presented at the 27th Biennial AAMT Conference in Brisbane earlier this year. In this article, Michael Minas uses a case study approach to explore how enabling prompts can be used most effectively to support teaching with challenging tasks.

Computational thinking requires high cognitive load as students work to manage multiple tasks in their problem-solving environment. Through research in K-2 classrooms on computational thinking, we noticed that students lack the representational fluency needed to move from one form to another--such as moving from physical to more abstract…

Due to their abstract nature, representation of mathematical concepts through different registers favors their understanding. In the case of ''sequences and regularities'', it becomes propitious the exploration of different registers of representation in the institution of topics, such as term, order, formation law, and generating expression.…

Powell, Berry, et al. (in press) conducted a randomized control trial assessing the effects of two variants of word-problem intervention with third graders (n = 304) experiencing mathematics difficulty. Students were assigned to a business-as-usual condition (BaU) or one of two variants of word-problem intervention. One variant included a…