Math achievement is an important predictor of progression to later science, technology, engineering, and math (STEM) education and careers. However, attitudinal factors also play a role, and interventions attempting to improve math attitudes may be important for increasing the number of STEM-aspiring students. To design effective interventions, it…

At the start of every school year, teachers typically wonder what their new students know coming into the grade level. Sometimes, though, they place too much emphasis on what children do not know or have forgotten over summer break. After all, those gaps can be glaring. Helping their students grow is like helping an acorn grow; they must watch for…

Research Findings: Two hundred and sixty-seven Chilean children from grades 1-3, their fathers and their mothers completed measures of implicit and explicit math-related beliefs (math-gender stereotypes, math self-concepts) and feelings (math anxiety), as well as tests of mathematical achievement. Children, fathers, and mothers exhibited…

Background: Working structurally with patterns at foundation phase (FP) enhances habits of mind that advance early algebra at this early stage of mathematical learning. The South African curriculum proposes that learners work with and understand the logic of a pattern, but this important idea has largely been neglected in classroom texts and in…

This study aims to classify subtypes of mathematics disability (MD) using a novel classification method, cognitive diagnostic models (CDMs), and examine whether domain-general skills, namely, linguistic, working memory, and spatial skills, were related to the identification of the subtypes. Participants were 454 children (246 boys; age: M ± SD =…

Some children struggle with mathematics. Among these children, some of them may be learners with mathematical difficulties. While research has revealed multiple deficits as candidate causes for mathematical difficulties and probable subtypes, the cognitive profiles of these subtypes are not fully understood. Moreover, we have yet to discover…

The purpose of this study was to follow-up primary-grades teachers who had participated in experimental studies on genre-based strategy instruction to examine whether they continued to teach the strategies they learned, and how they adapted them. Participants were three primary grades' teachers who participated in interviews and shared…

Montessori is a highly individualized pedagogy that prioritizes following each child's individual interests over standardized test scores. This quasi-experimental study compares groups of Montessori students (treatment groups, N = 535-710) with control groups of non-Montessori students, matched through the simple matching method, which controls…

Experts think in patterns and structures using the specific "language" of their domains. For mathematicians, these patterns and structures are represented by numbers, symbols and their relationships (Stokes, 2014a). To determine whether elementary students in the United States could learn to think in mathematical patterns to solve…

This study aimed to examine whether a computational thinking (CT) intervention related to (a) number knowledge and arithmetic (b) algebra, and (c) geometry impacts students' learning performance in primary schools. To this end, a quasi-experimental, nonequivalent group design was employed, with 61 students assigned to the experimental group and 47…

Writing down spoken number words (transcoding) is an ability that is predictive of math performance and related to working memory ability. We analysed these relationships in a large sample of over 25,000 children, from kindergarten to the end of primary school, who solved transcoding items with a computer adaptive system. Furthermore, we…

Formative assessment involves the gathering of information that can guide the teaching of individual or groups of children. This approach requires a sound understanding of children's thinking and learning, as well as an effective method for gaining the information. We propose that formative assessment should employ a version of clinical…

The present study investigated the effects of "Primarily Math", an inservice elementary mathematics specialist program. "Primarily Math" sought to augment the mathematical knowledge for teaching of kindergarten through third-grade teachers using a longitudinal multiple cohort design. Two sets of analyses were conducted. The…

This Framework builds upon the foundation of the 2010 Massachusetts Curriculum Framework for Mathematics as well as versions of the Massachusetts Mathematics Framework published since 1995. The current Framework incorporates improvements suggested by Massachusetts educators after six years of experience in implementing the 2010 standards in their…

Algorithms and representations have been an important aspect of the work of mathematics, especially for understanding concepts and communicating ideas about concepts and mathematical relationships. They have played a key role in various mathematics standards documents, including the Common Core State Standards for Mathematics. However, there have…