Reforms in mathematics education call for teaching to move away from "traditional" approaches (Carpenter, Ansell, & Levi, 2001) that are focused around rote procedures and skills, and toward practice that engages students in cognitively demanding tasks, discourse, and productive struggle to develop conceptual and procedural…

Mathematics curriculum reform is changing the content and resources in today's elementary classrooms as well as the culture of mathematics teaching and learning. Administrators face the challenge of leading large-scale curricular change efforts with limited prior knowledge or experiences with reform curricula structures. Administrators, as the…

In this study, we explore thirty-two second graders' performance on integer addition problems before and after analyzing contrasting cases involving integers. The students, as part of a larger study, completed a pretest, were randomly assigned to one of three intervention groups, and participated in two small-group sessions, one short whole-class…

This research report explores relationships between fractions' task representations (discrete, rectangular, or circular) and elementary prospective teachers' (PTs) fractions conceptions. Studies show PTs' conceptions of fractions are centered on a part-whole understanding, which may be problematic when teaching children about improper fractions.…

This paper reports on a study of 3rd-grade students' modeling with data, which involves comprehensive investigations that draw upon STEM-based concepts, contexts, and questions, and generate products supported by evidence and open to informal inferential thinking. Within a real-world STEM-based context of licorice manufacturing, students…

Many Zimbabwean mathematics classrooms have student populations from diverse cultural backgrounds who speak diverse Shona dialects. Most of the mathematics teaching is not related to the learners' world or everyday experiences because it is taught in English, a second language for most of these learners. Teachers therefore play a fundamental role…

This report on "Singapore Math®" updates the 2009 WWC review of the curriculum to include seven new studies. Despite the additional research, no studies meet WWC design standards and therefore, no conclusions can be made about the effectiveness of "Singapore Math®." [For the 2009 report, "Singapore Math," see…

In this follow-up article, the authors explain that when technology is integrated in an equitable manner and with due regard for professional learning, the affordances of Web 2.0 technology and interactive devices allow teachers to not only promote procedural fluency but also to develop students' conceptual understanding, reasoning and…

This study, situated in a multilingual, English-medium educational context, draws on theory from mathematics and language education to capture teachers' perspectives on the place of language in their mathematics pedagogy. The benchmark study explored this topic through surveying and interviewing teachers. Additionally, it sought to relate…

The purpose of this study is to examine how fifth grade students were impacted by the infusion of multiple writing tasks in mathematics. In this study, writing tasks provided opportunities for students to communicate prior knowledge, share ideas to construct and justify arguments, for reflection, and assessment. In this deductive qualitative…

Whole number arithmetic is the foundation of higher mathematics and a core part of elementary mathematics. Awareness of pattern and underlying problem structure promote the learning of whole number arithmetic. A growing consensus has emerged on the necessity to provide students with the opportunity to engage in algebraic reasoning earlier in their…

The number of students with autism spectrum disorder (ASD) in elementary mathematics classrooms today is on the rise and educators around the world are seeking innovative methods for teaching them. The authors of this article describe using an avatar-based program called TeachLivE to help students with ASD develop a graphic organizer strategy to…

Introduction: Executive functions involve cognitive and metacognitive abilities that make up a sophisticated system that monitors and reviews conduct involved in decision-making. These functions are critical for carrying out tasks and adaptive behavior. Among its components are inhibitory and attentional control, planning, self-regulation and…

One hundred sixty-five Hong Kong Chinese children were administered measures of early mathematics, visual-spatial skills, and executive functioning (working memory, inhibition, shifting, updating) once in kindergarten (mean age = 62.80 months, SD = 3.74) and again in first grade (mean age = 77.25 months, SD = 4.60). In kindergarten, visual-spatial…

Spatial-Temporal Math (ST Math) is game-based, instructional software for K-12 students created by the MIND Research Institute (MIND). ST Math is integrated into classroom instruction, but can also be used in a computer lab or at home. The ST Math software games begin without language and symbol abstractions by posing math programs as purely…