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…

Let R be an integral domain with quotient field F, let S be a non-empty subset of R and let n = 2 be an integer. If there exists a rational function ?: S [right arrow] F such that ?(a)[superscript n] = a for all a ? S, then S is finite. As a consequence, if F is an ordered field (for instance,[real numbers]) and S is an open interval in F, no such…

The purpose of this article is to explore the use of didactical phenomenology as an instructional design heuristic. In doing so, I will articulate ways in which didactical phenomenology can be used in conjunction with the guided reinvention and emergent models heuristics to support instructional design. This discussion will be supported by…

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…

This paper analyzes how weekly study plans can increase student achievement in developmental mathematics courses at a four-year public institution of higher education. Quantitative data were collected regarding student completion of weekly study plans through an experimental methodology. Results show that students in the experimental group earned…

In this article we present the results of an investigation into semiotic aspects of an introductory differential equations class from two countries. In order to perform a comparative analysis, students in the USA and Tunisia were given common questions on their midterm exams that examined analytical and graphical competencies. Our results indicate…

Introduction: Developing graphicacy skills is important for students with visual impairments if they are to succeed in science, technology, engineering, and mathematics (STEM) content. Teachers of students with visual impairments report that they lack resources to use in teaching students graphicacy skills. Methods: Forty-one students with visual…