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## Full-Text Articles in Education

Completing The Square: From The Beginnings Of Algebra, Danny Otero

#### Completing The Square: From The Beginnings Of Algebra, Danny Otero

*Pre-calculus and Trigonometry*

No abstract provided.

#### How The Use Of Subjectivist Instructional Strategies In Teaching Multiple Sections Of An Eighth Grade Algebra Class In Guyana Relates To Algebra Achievement And Attitude Changes Toward Mathematics, Jennifer Hoyte

*FIU Electronic Theses and Dissertations*

In Guyana, South America, the Ministry of Education seeks to provide universal, inclusive education that prepares its citizens to take their productive places in society and to creatively solve complex, real-world problems. However, with frequent national assessments that are used to place students in high school, college or into jobs, teachers resort to using familiar strategies such as lecture, recitation and test drilling. Despite their efforts, over 56% of students are failing the Grade 6 assessments, 43% failing 10th grade Mathematics and over 60% failing college algebra courses. Such performance has been linked to students’ lower academic self-concept and their ...

Developing Conceptual Understanding And Procedural Fluency In Algebra For High School Students With Intellectual Disability, Andrew J. Wojcik

#### Developing Conceptual Understanding And Procedural Fluency In Algebra For High School Students With Intellectual Disability, Andrew J. Wojcik

*Theses and Dissertations*

Teaching students with Intellectual Disability (ID) is a relatively new endeavor. Beginning in 2001 with the passage of the No Child Left Behind Act, the general education curriculum integrated algebra across the K-12 curriculum (Kendall, 2011; National Governors Association Center for Best Practices & Council of Chief State School Officers, 2010), and expansion of the curriculum included five intertwined skills (productive disposition, procedural fluency, strategic competence, adaptive reasoning, and conceptual understanding) (Kilpatrick, Swafford, & Findell, 2001). Researchers are just beginning to explore the potential of students with ID with algebra (Browder, Spooner, Ahlgrim-Delzell, Harris & Wakeman, 2008; Creech-Galloway, Collins, Knight, & Bausch, 2013; Courtade, Spooner, Browder, & Jimenez, 2012; Göransson, Hellblom-Thibblin, & Axdorph, 2016). Most of the research examines the development of procedural fluency (Göransson et al., 2016) and few researchers have explored high school level skills. Using a single-case multiple-baseline across participants design, the study proposes to teach two algebra skills to six high school students with ID, creating an equation (y=mx+b) from a graph of a line and creating a graph from an equation. The six high school students with ID will be recruited from a school district in central Virginia. The intervention package modeled after Jimenez, Browder, and Courtade (2008), included modeling, templates, time delay prompting, and a task analysis. Results showed that all six individuals improved performance during intervention for the target skills over baseline; results also indicated that in three out of the six cases some generalization to the inverse skill occurred without supplemental intervention. The ability of individuals with ID to generalize the learning without intervention provides some evidence that individuals with ID are developing conceptual understanding while learning procedural fluency.

Richard Dedekind And The Creation Of An Ideal: Early Developments In Ring Theory, Janet Heine Barnett

#### Richard Dedekind And The Creation Of An Ideal: Early Developments In Ring Theory, Janet Heine Barnett

*Abstract Algebra*

No abstract provided.

The Intertwinement Of Activity And Artifacts: A Cultural Perspective On Realistic Mathematics Education, Frederick A. Peck

#### The Intertwinement Of Activity And Artifacts: A Cultural Perspective On Realistic Mathematics Education, Frederick A. Peck

*School of Education Graduate Theses & Dissertations*

Realistic mathematics education (RME) is guided by the notion that mathematics is the human activity of mathematizing the world. In much of the RME literature, mathematizing is theorized to be an individual activity, and the products of mathematizing—mathematical productions and mathematical knowledge—are theorized to be individual constructions and private knowledge. In this dissertation I extend these ideas and discuss how mathematizing is mediated by, and distributed across, cultural artifacts. I therefore argue for the importance of adopting a cultural perspective within RME. My arguments are theoretical and empirical. My empirical argument is drawn from design-based research in high-school ...

Mathematics Achievement With Digital Game-Based Learning In High School Algebra 1 Classes, Terri Ferguson

#### Mathematics Achievement With Digital Game-Based Learning In High School Algebra 1 Classes, Terri Ferguson

*Doctoral Dissertations and Projects*

This study examined the impact of digital game-based learning (DGBL) on mathematics achievement in a rural high school setting in North Carolina. A causal comparative research design was used in this study to collect data to determine the effectiveness of DGBL in high school Algebra 1 classes. Data were collected from the North Carolina End-of-Course (EOC) Test for high school Algebra 1. The data collection was broken down by comparison groups based on academic achievement as measured by the North Carolina EOC Test for Algebra 1. The comparison groups were student participants who received digital game-based instruction and tradition instruction ...

Teaching Algebra Through Functional Programming:An Analysis Of The Bootstrap Curriculum, Robert Lee

#### Teaching Algebra Through Functional Programming:An Analysis Of The Bootstrap Curriculum, Robert Lee

*Theses and Dissertations*

Bootstrap is a computer-programming curriculum that teaches students to program video games using Racket, a functional programming language based on algebraic syntax. This study investigated the relationship between learning to program video games from a Bootstrap course and the resulting effect on students' understanding of algebra. Courses in three different schools, lasting about six weeks each, were studied. Control and treatment groups were given a pre and post algebra assessment. A qualitative component consisting of observations and interviews was also used to further triangulate findings. Statistical analysis revealed that students who completed the Bootstrap course gained a significantly better understanding ...

Investigating The Impact Of Interactive Applets On Students’ Understanding Of Parameter Changes To Parent Functions: An Explanatory Mixed Methods Study, Robin R. Mcclaran

#### Investigating The Impact Of Interactive Applets On Students’ Understanding Of Parameter Changes To Parent Functions: An Explanatory Mixed Methods Study, Robin R. Mcclaran

*Theses and Dissertations--Science, Technology, Engineering, and Mathematics (STEM) Education*

The technology principle in the *Principles and Standards for School Mathematics* (NCTM, 2000) states that technology plays an important role in how teachers teach mathematics and in how students learn mathematics. The purpose of this sequential explanatory mixed-methods study was to examine the impact of interactive applets on students’ understanding of parameter changes to parent functions. Students in the treatment classes were found to have statistically significantly higher posttest scores than students in the control classes. Although the data analysis showed a statistically significant difference between classes on procedural understanding, no statistically significant difference was found with regard to conceptual ...

Integrating The Wasl Into The High School Algebra Curriculum, Kent Stafford Pearsons

#### Integrating The Wasl Into The High School Algebra Curriculum, Kent Stafford Pearsons

*All Graduate Projects*

Most Algebra courses in Washington are supplemented with Washington Assessment of Student Learning (WASL) material. However, in the last two years, little more than half of Washington sophomores passed the math portion of the WASL; for about half of tenth graders the extra worksheets did little to no good. Students need relevant WASL material that correlates with the current math they are studying. In this manner, even though questions may be phrased differently, the material is familiar and so answering questions are more possible. Also, since new worksheets have multiple choice, teachers can discuss how most wisely to answer this ...

The Effects Of Algebra Blocks On Student Achievement In Algebra, Bernard S. Roberts

#### The Effects Of Algebra Blocks On Student Achievement In Algebra, Bernard S. Roberts

*Theses : Honours*

This study examined the effects of Algebra Blocks on student understanding for the concepts of binomial expansion and trinomial factorisation. The purpose of the study was to illuminate the use and effectiveness of Algebra' Blocks in the teaching-learning process. Two year nine classes with similar mathematics levels were taught binomial expansions and trinomial factorisations. The experimental class was taught using Algebra Blocks whilst the untreated class acted as the control group. After eight lessons of instruction, both classes were tested on their understanding of both concepts. To provide qualitative data, three randomly chosen students from each class were interviewed on ...