This qualitative multi-site case study explores the self-identified traits of four Philadelphia schools that demonstrate growth in grade four proficiency on the Math Pennsylvania System of State Assessment (PSSA). Obtained proficiency/advanced scores on the PSSA show a drop from third to fourth grade cohorts during 2017, 2018, and 2019. In…

This quantitative study sought to identify the impact of a mathematics curriculum that does not incorporate homework on mathematics achievement. Based on recent standardized testing data, educational practices must be examined to improve mathematics results. This study focused on one district setting that at the start of the 2023 school year…

Mathematical fact fluency, particularly in addition and subtraction, is crucial for students' success in later mathematical concepts and is often a focus of elementary education. Educators are exploring tools to enhance math fluency, such as Reflex Math, a digital program designed to accelerate students' fact fluency through adaptive learning…

Microcredentials are a promising means for expanding teacher access to high quality professional development. This study examined the effectiveness of online, self-paced microcredential courses designed for teachers working in underserved rural communities. The content of these competency-based microcredentials centered on recommended…

Purpose: A growing trend in instructional improvement efforts is the use of formative assessment informed by research-based developmental trajectories of how students gain deeper understanding of subject matter content over time. This article reports the findings of a large-scale experimental study of an innovative mathematics professional…

In January 2019, third graders at Penns Manor Elementary used known math skills and new math skills to draft a pattern and dress a four harness loom to create a woven wall hanging. Twelve core students learned the basic skills and then taught their peers and classroom teachers under the guidance of teaching artist Sandra Trimble. It turned out to…

Prior research shows that multiple representations can enhance learning, provided that students make connections among them. We hypothesized that support for connection making is most effective in enhancing learning of domain knowledge if it helps students both in making sense of these connections and in becoming perceptually fluent in making…

Prior research shows that multiple representations can enhance learning, provided that students make connections among them. We hypothesized that support for connection making is most effective in enhancing learning of domain knowledge if it helps students both in making sense of these connections and in becoming perceptually fluent in making…

This study examined the predictive relationship of a brief computation measure administered in the fall, winter, and spring of first, second, and third grade with the mathematic portion of a state-mandated academic achievement test administered in the spring of third grade. The relationship between mathematical achievement and resource…

This study used a multiple probe across participants design to examine the effects of a model drawing strategy (MDS) intervention package on fraction comparing and ordering word problem-solving performance of three Grade 4 students. MDS is a form of cognitive strategy instruction for teaching word problem solving that includes explicit instruction…

Fourth graders in Miss Dause's and Mrs. Hicks's mathematics classes at South Mountain Elementary School in Dillsburg, Pennsylvania, worked with the data from the Inauagural Address problem that was previously published published in the February 2013 issue of "Teaching Children Mathematics". This activity allowed students to showcase…

"Odyssey® Math" is a web-based program developed by Compass Learning® for mathematics instruction in grades K-8. The online program includes a mathematics curriculum and formative assessments designed to support differentiated and data-driven instruction. Based on assessment results, the program generates an individualized sequence of…

Research shows that multiple external representations can significantly enhance students' learning. Most of this research has focused on learning with text and 1 additional graphical representation. However, real instructional materials often employ multiple "graphical" representations (MGRs) in addition to text. An important open…

The study featured in this What Works Clearinghouse (WWC) Quick Review examined whether exposure to "Odyssey[R] Math," a web-based mathematics curriculum and assessment tool, improved mathematics achievement of fourth-grade students. The study analyzed data from 2,456 fourth-grade students in 122 classrooms in 32 elementary schools in…

As learning technologies proliferate, it is important for research to address how to best align instruction to educational goals. For example, recent evidence indicates that working collaboratively may have unique benefits for facilitating the acquisition of conceptual understanding, as opposed to procedural fluency (Mullins, Rummel & Spada,…