This chapter situates fraction learning within the integrated theory of numerical development. We argue that the understanding of numerical magnitudes for whole numbers as well as for fractions is critical to fraction learning in particular and mathematics achievement more generally. Results from the Delaware Longitudinal Study, which examined…

The purpose of the research is to study and change the structure of a mathematical lesson to improve quality of pupils' mathematical training and design mechanisms of inclusion the systems of open type tasks in educational process considering specifics of pupils' creative personality development. The leading method is modeling of a mathematical…

This mixed methods study examined an association between cognitive types of teachers' mathematical content knowledge and students' performance in lower secondary schools (grades 5 through 9). Teachers (N = 90) completed the Teacher Content Knowledge Survey (TCKS), which consisted of items measuring different cognitive types of teacher knowledge.…

This sequential exploratory mixed methods study addressed the problem of low academic achievement in mathematics, specifically for African American middle school students who historically score below proficient levels on standardized mathematics assessments. The purpose was to investigate the effectiveness of the Project-Based Learning (PBL)…

In Texas, English language learner (ELL) students are assessed annually in academic subject areas using the State of Texas Assessments of Academic Readiness (STAAR) at elementary and middle school levels. This supplemental report describes continuously enrolled Austin Independent School District ELLs' performance as compared with all AISD…

In spring 2015 Mississippi began testing the college readiness of all grade 11 public high school students and found that approximately 18 percent were ready for college math, a percentage that had changed little by 2017/18. This study examined: (1) the sequences of math courses that Mississippi students took in grades 6-11; (2) the math…

This study tried to explore the degree of representation of math textbooks for grades (4-8) in the Kingdom of Saudi Arabia concerning the key concepts, shape, and levels of questions used in the TIMSS test. The study population of this study includes both students and teachers from fourth grade to eighth grade. The goal of this study was…

This study analyses the effects of school resources on student mathematics achievement in Zimbabwe using a 3-Level Hierarchical Linear Model (HLM). The major findings of the research are that a teacher trained in the relevant subject, class size, having a highly qualified school head and having a generally high resource endowment at school level…

Century Analytics, Inc. conducted a rigorous evaluation of Edmentum's Exact Path to estimate the impact of Exact Path use on student achievement in mathematics in kindergarten through Grade 8. Exact Path is an online educational tool designed to support individualized student instruction. This study's quasi-experimental design (QED), analyses, and…

This in-brief technical report documents the results from two different analytic approaches for examining the reliability of the slope for easyCBM® math measures in Grades K-8. Results varied by grade, assessment measure, and the analytic approach. Results patterns are discussed.

This three-year research study examined the influence of interactive technologies on the math achievement of Indigenous students in Years 4, 5, 6 and 7 technology-equipped classrooms in a rural elementary school in British Columbia, Canada. Using a mixed-methods approach, the researcher conducted semistructured interviews and collected math…

This report demonstrates the effects of the Arkansas Better Chance program (ABC) on late elementary outcomes (third through sixth grades). End of year assessments, which varied over the course of the study years, were examined for students of three preschool cohorts. Students included in the statewide study received free lunch all years and were…

This study examined factors contributing to achievement gaps between White and African American students in 2,868 diverse school districts across the United States. Using pooled data across five school years (2008-2013), six grade levels (grades third to eighth, which typically include students aged 8 years-14 years) and two different subjects…

The university aims to form professionals through transmission and dissemination of knowledge, therefore, the Extension, as a tool of the universities, has a major role contributing to improvements in the learning and teaching process. The Extension projects are extremely important for The Federal Technological University of Paraná (UTFPR), since…

The goal of the present article is to synthesize findings to date from the Delaware Longitudinal Study of Fraction Learning. The study followed a large cohort of children (N = 536) between Grades 3 and 6. The findings showed that many students, especially those with diagnosed learning disabilities, made minimal growth in fraction knowledge and…