In response to the large number of high school students entering community colleges in the United States who are not prepared to begin college-level mathematics courses, and the poor success rates of students enrolled in the traditional prerequisite developmental courses that have been required for such students for many years, national attention…

This research aimed to determine the difficulties that the students experience in inequality solutions that contain inequality in general and rational (proportional) expressions, and to solve these difficulties with an activity. Totally 108 students, who were enrolled in the Department of Mathematics and Science Education, consisted respectively…

This study explored the mathematics achievement profiles of the countries participating in TIMSS 2015 based on the TIMSS assessment framework categories. More specifically, observed and expected performances of countries in the framework categories were compared to determine the relative strengths and weaknesses of countries in the respective item…

Owing to the importance of a subject like mathematics in the teaching and learning of science, self-learning often poses a challenge to the educator. The objective of this study is to analyse the enhancement of the textual and the media form of self-learning modules to teach algebra and geometry to eighth graders considering their retention…

The purpose of this study was to gather teacher and parent perceptions about a collective approach to PLCs and their impact on student achievement in Algebra 1, Algebra 2, and Geometry. This research, carried out as a single case study at a high school in West Tennessee, used a qualitative research method to identify which PLC structure, whether a…

Most any students can explain the meaning of "a[superscript b]", for "a" [element-of] [set of real numbers] and for "b" [element-of] [set of integers]. And some students may be able to explain the meaning of "(a + bi)[superscript c]," for "a, b" [element-of] [set of real numbers] and for…

To practice physical therapy, physical therapist assistants (PTAs) must graduate from an accredited program and pass the National Physical Therapy Examination (NPTE). There is a lack of evidence exploring the relationships between admission processes in PTA programs with no pre-requisites. The first purpose of this study was to determine whether…

Over the past four decades, special education has become prominent in many public and private schools. This quantitative non-experimental study aims to compare the impact of the pullout model versus the inclusion model on students with learning disability scores on their Partnership for Assessment of Readiness for College and Careers (PARCC) in…

Research states that many remedial mathematics learners possess low mathematics academic self-concept, negative attitudes, and high anxiety levels. These aspects can manifest in a lack of confidence, apprehension, reduced engagement, or academic failure (2007; Klinger, 2008; Larkin & Jorgensen, 2016; Parnis & Petocz, 2016;). However, if…

This quantitative study explored the relationship between community sociodemographic factors and student outcomes on the 2019 Texas high school mandated end-of-course (EOC) exams for Algebra I, Biology, English I, English II, and U.S. History in Texas midsized high schools. Correlational analysis was run on community sociodemographic factors on…

Understanding how one representation connects to another and how the essential ideas in that relationship are generalized can result in a mathematical theorem or a formula. In this article, the authors demonstrate this process by connecting a vector cross product in algebraic form to a geometric representation and applying a key mathematical idea…

This paper reports on themes that arose in an investigation of university lecturers' views on the teaching of linear algebra. This focus on themes was the initial part of a study concentrating on four areas: What is important to teach in a first course in linear algebra? Are there teaching methods which are particularly suited for such a course?…

The study examines the impact of APOS theory on students' achievement in Elementary Linear Algebra (ELA) in accordance with their adequate prior knowledge (APK) and inadequate prior knowledge (IAPK). The mixed methods were used to determine the problem-solving test in ELA. Data were obtained from 65 industrial engineering students at Andalas…

Instructional principles gleaned from cognitive science play a critical role in improving classroom teaching. This study examines how three cognitive instructional principles including worked examples, representations, and deep questions are used in eight experienced elementary teachers' early algebra lessons in the U.S. Based on the analysis of…

Emotions can influence cognitive development and are key elements to the teaching-learning process. Positive emotions (e.g., engagement) can improve the ability to solve problems, store information, and make decisions. On the other hand, negative emotions (e.g., boredom) reduce the capacity to process information at a deeper level, preventing…