A meta-analysis of single-case design research was conducted to evaluate the effectiveness of mathematics interventions for elementary grade (K-5) students with mathematics difficulties (MD) and mathematics learning disabilities (LD). The study examined whether intervention effectiveness varied as a function of participant characteristics (i.e.,…

The purpose of this research study was to investigate teacher perspectives of implementing standards-based grading in kindergarten through fifth grade in language arts and math in Southern Illinois. This mixed-methods explanatory research study examined the challenges teachers encountered when implementing standards-based grading, and the changes,…

Although teachers are expected to teach mathematics ambitiously, it is challenging for them to do so. Given that the first year represents a critical juncture between teacher preparation and inservice teaching, it may be particularly challenging to teach ambitiously. Understanding the nuanced characteristics in lessons taught by first-year…

The sandwich problem described in this article would likely be considered more appropriate for third grade or above. However, as members of the research team for a lesson study involving teachers from kindergarten through fourth grade, the authors saw kindergarten students rise to the challenge. The authors invite readers to review two scenarios,…

Many studies conducted in the last decades report that very few elementary-grades students understand the meaning of = in mathematics, and that upper-elementary students do not understand it any better than the lower-elementary students do. Using data from thousands of Florida elementary students, we show that students in Florida perform ten to…

Learners' foundational math skills obtained in the elementary grades profoundly impact their preparation for learning math in the upper grades. However, there is a deficiency in the foundational math skills necessary to be proficient in math and equivalent with their peers at grade level (Burton, 2018). In the elementary classrooms of kindergarten…

Educators and several national standards highlight the role that problem solving should play in students' mathematics education: problem solving is recognized as one of the most significant activities of doing mathematics. From the research point of view, nowadays, it is well established that cognitive and affective factors come into play in…

Although mathematics development research has become more prominent in the school psychology literature in recent years, a large research gap in this area exists regarding English language learners (ELLs). Significant research in education, cognitive science, and psychology has been devoted to understanding the links between language and…

Mathematical difficulties have been distinguished as mathematics learning disability (MLD) and persistent low achievement (LA). Based on 1,880 Finnish children who were followed from kindergarten (age 6) to fourth grade, this study examined the early risk factors for MLD and LA. Distinct groups of MLD (6.0% of the sample) and LA (25.7%) children…

This paper contributes to the Symposium: "Research Methods Involving Children's Drawings in Mathematical Contexts" by exploring the use of digital pens as a data gathering tool. The availability of digital recording devices has been a boon to researchers wanting to capture the real-time dynamics of a research situation. When capturing a…

Curriculum Associates' "i-Ready® Instruction" is a supplemental, online personalized instruction program available for reading and mathematics. The Human Resources Research Organization (HumRRO), in collaboration with Century Analytics, implemented a quasi-experimental design (QED) using 2018-19 "i-Ready Diagnostic and…

In this commentary, the author reflects on four studies that have greatly expanded the knowledge base on effective interventions in mathematics, and he provides four rigorous experimental studies of approaches for students likely to experience difficulties learning mathematics over a large grade-level span (pre-K to 4th grade). All of the…

A "repeating pattern" is a cyclical repetition of an identifiable core. Children in the primary grades usually begin pattern work with fairly simple patterns, such as AB, ABC, or ABB patterns. The unique letters represent unique elements, whereas the sequence of letters represents the core that is repeated. Based on color, shape,…

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…

Researchers have linked teachers' use of mathematical tasks and questions to students' achievement in mathematics, and also have documented that the types of tasks and questions posed might change throughout the year in grades that include high-stakes tests of student achievement. This qualitative research study explored 3 elementary school…