The Math Curriculum Impact Study was a large-scale randomized controlled trial (RCT) to test the efficacy of a digital core curriculum for Grade 5 mathematics. Reasoning Mind's Grade 5 Common Core Curriculum was a comprehensive, adaptive, blended learning approach that treated schools implemented for an entire school year. The study was completed…

This study begins by connecting semantic elaboration with conceptual understanding and syntactic elaboration with procedural understanding in the context of fractions. Through case studies and discourse analysis, the work and communication of students in fourth through sixth grade is analyzed to determine the extent of their semantic and syntactic…

This mixed-method study examines the relationship between classroom discussion and student performance in twenty 3rd and 4th grade classrooms in northern California with 50% English language learners (ELLs). Discussions were scored on features including use of multiple approaches for solving problems, students' opportunities to speak, equitable…

International research suggests that early mathematical competence predicts later mathematical achievement. In this article, we explore the relationship between mathematical competencies at 4-5 years, as measured by teacher ratings, and later results on Years 3, 5, 7 and 9 "National Assessment Program -- Literacy and Numeracy" (NAPLAN)…

Research findings have established common student misconceptions for literal symbolic representations of variables but lack corresponding findings of when or how these misconceptions arise. This article reports findings from an exploratory study of U.S. grade 4-6 students' conception(s) for various representations of unknown addends commonly found…

This paper presents a study aimed at investigating the didactic potentiality of the combined use of two different kinds of artefacts for the purpose of constructing and conceptualizing mathematical meanings related to the notion of axial symmetry. In our view, the process of meanings construction can be fostered by the use of adequate artefacts,…

The teaching and learning of mathematics in South Africa are conducted through the authorised Language of Learning and Teaching (LoLT). South Africa has eleven official languages, and English is a Language of Learning and Teaching (LoLT) from the Intermediate and Further Education and Training (FET) Phase. This study explores teachers' views on…

The paper presents results from the evaluation of the Teach for Bulgaria (TFB) program, which is part of the Teach for All global network. TFB activities have relevance for a variety of fast-track pathways to the teaching profession. The evaluation is based on a quasi-experimental assessment of teacher performance through student value-added…

In this synthesis, we reviewed 65 studies involving elementary students (i.e., grades 1-5) identified with mathematics difficulty (MD) in which authors implemented a mathematics intervention. Of these studies, we identified 33 group designs, 9 quasi-experimental designs, and 23 single-case designs. We aimed to synthesize performance differences…

The purpose of this study was to determine if students who scored in the lower percentiles range (1st to 10th) on the spring 2017 NWEA MAP assessment obtained a post ADDITION 1 score in BlueStreak Math during the 2017-18 school year had higher observed growth in RIT scores than students who scored in the lower percentiles ranges but did not obtain…

Is anything more refreshing than going for a nice, long swim? The math scenarios presented in this article will take the reader back to hot summer days and remind the reader what a cool dip in the water feels like. Solving these problems is enjoyable and encourages the solver to think of the many ways that math is all around--even in the middle of…

The enVisionmath 2.0 curriculum was implemented by a medium-sized school district to improve achievement for all elementary students because the district felt that students were underperforming in mathematics. The belief of underperformance mirrors the performance of U.S. students on international measures. For instance, the performance of U.S.…

REL Southeast developed this facilitator's guide on the topic of mathematical problem solving for use in professional learning community (PLC) settings. The facilitator's guide is a set of professional development materials designed to supplement the What Works Clearinghouse practice guide, Improving Mathematical Problem Solving in Grades 4…

Working within the context of a contest to find the most beautiful tourist attraction in the world, Year 5 students investigate the most symmetric building from a short-list of three iconic buildings. This involves investigating both line and rotational symmetry in order to make an informed decision about the symmetrical nature of each building.

The ideas students have about what causes math failure are known to impact motivation. This paper throws light on how attributions of failure are negotiated during math tutoring, between 4th/5th graders and volunteer tutors, at a non-profit STEM-based after-school program. The study employs methods of interaction analysis on a small number of…