The National Council of Teachers of Mathematics (2000) emphasizes the importance of communication in mathematics and mathematics education. Effective mathematical communication is essential in mathematics instruction, as it is a collaborative and social activity between teachers and students (Moschkovich, 2002; Khairunnisa et al., 2020). This…

The authors define two mathematical cognitive verbs which are fundamental to the development of mathematical thinking and reasoning. They distinguish between 'describing' and 'explaining' in relation to doing mathematics, rather than using them interchangeably.

Research has shown that computational thinking and kindergarten mathematics instruction can be integrated; however, evidence of how specific mathematical knowledge relates to computational thinking remains scarce. Additionally, we do not know if and how children's mathematical knowledge co-occurs with computational thinking and how these…

Mathematics concepts in early childhood education are often predictors later outcomes for student success, because mathematics is a foundational area of academics. The purpose of the research is to engage educators in conversations regarding experiential learning opportunities in early mathematics through curriculum planning and instructional…

This study examines the collective mathematical reasoning when students and teachers in grades 3, 4, and 5 explore fractions derived from length comparisons, in a task inspired by the Elkonin and Davydov curriculum. The analysis showed that the mathematical reasoning was mainly anchored in mathematical properties related to fractional or algebraic…

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.…

We estimate relative achievement effects of the four most commonly adopted elementary mathematics textbooks in the fall of 2008 and fall of 2009 in California. Our findings indicate that one book, Houghton Mifflin's "California Math," is more effective than the other three, raising student achievement by 0.05 to 0.08 student-level…

There is a dearth of research on Tier 1 instruction designed to improve the mathematics achievement of English learners. This study examined the impact of a core kindergarten mathematics curriculum on the mathematics achievement of Spanish-speaking English learners (SS-ELs). Secondary aims tested for differential response to the curriculum among…

There is a dearth of research on Tier 1 instruction designed to improve the mathematics achievement of English learners. This study examined the impact of a core kindergarten mathematics curriculum on the mathematics achievement of Spanish-speaking English learners (SS-ELs). Secondary aims tested for differential response to the curriculum among…

In third grade the focus on math word problems becomes prominent. In the limited third grade research, teacher-mediated explicit instruction with multiple exemplars, teaching students to use visual representations, and the incorporation of self-strategies, have proven effective. For these practices to reach their full potential though, their…

Research indicates that preschool children need to learn pre-math skills to build a foundation for primary- and secondary-level mathematics. This paper presents the results from the early stages of a pilot mathematics program implemented in Cordillera, Paraguay. In a context of significant gaps in teacher preparation and pedagogy, the program uses…

Many educational Randomized Controlled Trials (RCTs) collect baseline versions of outcome measures (pretests) to be used in the estimation of impacts at posttest. Although pretest measures are not necessary for unbiased impact estimates in well executed experimental studies, using them increases the precision of impact estimates and reduces sample…

There is a disparity of mathematics achievement between native English speakers and English language learners (ELL). This study sought to understand the barriers ELL kindergarten students faced in being successful in mathematics. The purpose of this qualitative, instrumental case study was to explore kindergarten teachers' perceptions…

This article reports on the development and field trial of an integrated Head Start curriculum (Evidence-Based Program for Integrated Curricula [EPIC]) that focuses on comprehensive mathematics, language, and literacy skills. Seventy Head Start classrooms (N = 1,415 children) were randomly assigned to one of two curriculum programs: EPIC or the…

For more than 50 years, the International Association for the Evaluation of Educational Achievement (IEA) has been instrumental in developing an analytical model for understanding the relationships between educational policy (the intended curriculum), classroom and instructional practices (the implemented curriculum), and educational learning…