The authors in a convergent parallel mixed method design aimed to investigate whether and how the geometry knowledge and attitude toward geometry of students with field-dependent/independent cognitive style improve differentially within a project-based learning environment. Quantitative data were collected from 97 seventh-grade students before and…

"Connected Mathematics Project" (CMP) is a math curriculum for students in grades 6-8. It uses interactive problems and everyday situations to explore mathematical ideas, with a goal of fostering a problem-centered, inquiry-based learning environment. At each grade level, the curriculum covers numbers, algebra, geometry/measurement,…

The current study investigates the influence of manipulatives used in combination with traditional approaches to mathematics education and how varying amounts of time spent on manipulative use influence student achievement across different learning styles. Three learning environments were created that incorporated varying proportions of…

Cara, a seventh-grade student with learning disabilities (LD) in mathematics, believes that the ratio 2:3 is equivalent to 4:5 because there is a difference of one between the two numbers in each ratio and there is a difference of two between corresponding numbers in the two ratios (2 + 2 = 4 and 3 + 2 = 5). This misconception affects her ability…

Ratios and proportions are foundational to student understanding across multiple topics in mathematics and science. In mathematics, they are central to developing concepts and skills related to slope, constant rate of change, and similar figures, which are all fundamental to algebraic concepts and skills. This article examines the importance of…

The aim of this study is to determine the 7th grade students' achievements in mathematical patterns presented by figures, tables, number sequences, and word problems. This research is a situation determination study where quantitative methodology is used. The sample of the study consisted of 47 female and 50 male students, totally 97 students from…

This design research type development study aims at producing a set of PISA-like mathematics task which is valid and practical as well as has the potential effects. Then, activation of fundamental mathematical capabilities underlying mathematical process related to the mathematical literacy as the main potential effect of the developed PISA-like…

This experimental study investigated the effects of the use of two versions of a pedagogical agent named personal instructing agent (PIA) on the mathematics performance of students. The first version exhibits synthetic facial expressions while the second version does not exhibit facial expression (i.e., neutral facial expression). Two groups of…

The purpose of this study was to determine the impact a sustained rotational blended learning model on the academic achievement on Title I K-8 elementary school students at a Catholic school in the areas of reading comprehension and mathematics as measured with standardized assessments, the Iowa Test of Basic Skills. In response to the first…

In this research, we examined how 200 students in seventh grade (around 12 years old) solved simple addition problems. A cluster approach revealed that less than half of the cohort displayed proficiency with simple addition: 35% predominantly used min-counting and were accurate, and 16% frequently made min-counting errors. Students who frequently…

Acceleration refers to placing students in advanced courses to meet their individual learning ability. The problem of focus in this study was that the increased placement of students in advanced courses was often associated with negative impacts, including a lack of readiness, as well as emotional and social immaturity. As such, the purpose of…

Using testing data from 2.1 million students in 10,000 schools in 49 states (plus D.C.), we investigate the role of remote and hybrid instruction in widening gaps in achievement by race and school poverty. We find that remote instruction was a primary driver of widening achievement gaps. Math gaps did not widen in areas that remained in-person…

The mathematics achievement gap in special education is a chronic and significant challenge for the field. The need for improved teacher preparation in mathematics is crucial in addressing this gap. This study examines a capstone experience in higher level mathematics tutoring for preservice teachers. Results indicate that the experience was…

Although educators agree that making connections with the real world, as advocated by "Principles to Actions: Ensuring Mathematical Success for All" (NCTM 2014), is important, making such connections while addressing important mathematics is elusive. The authors have found that math content coupled with the instructional strategy of…

In 2012, New York education officials and the state's teachers union announced one of the nation's most aggressive programs for teacher and principal evaluation--the Annual Professional Performance Review system (APPR)--which required that 40% of an educator's evaluation be based on student growth, using a combination of the state assessment and…