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Articles 1  7 of 7
FullText Articles in Science and Mathematics Education
A Program Evaluation Of DoublePeriod Algebra, Jason Major
A Program Evaluation Of DoublePeriod Algebra, Jason Major
Dissertations
Students in ninth grade traditionally take algebra courses, but many students come in lacking foundational skills in mathematics. High schools have tried to solve this problem by introducing doubleperiod algebra courses with sporadic results. During this program evaluation, I interviewed an administrator and a teacher from two different high schools about the methods they used to begin and evaluate the program; I found that studentteacher relationships were the most important factor in the effectiveness of the program. Using quantitative data was a good starting point to determine the students who would benefit from the program and who would be successful ...
Connecting Advanced And Secondary Mathematics, Eileen Murray, Erin Baldinger, Nicholas Wasserman, Shawn Broderick, Diana White
Connecting Advanced And Secondary Mathematics, Eileen Murray, Erin Baldinger, Nicholas Wasserman, Shawn Broderick, Diana White
Department of Mathematical Sciences Faculty Scholarship and Creative Works
There is an ongoing debate among scholars in understanding what mathematical knowledge secondary teachers should have in order to provide effective instruction. We explore connections between advanced and secondary mathematics as an entry point into this debate. In many cases, advanced mathematics is considered relevant for secondary teachers simply because the content is inherently related. In this paper, we instead argue that there are connections between advanced mathematics and secondary mathematics that directly influence teaching. These are not discussions of the mathematical connections, per se, but rather discussions of specific ways in which knowing mathematical connections might influence secondary teachers ...
A Quantitative Reasoning Approach To Algebra Using InquiryBased Learning, Victor I. Piercey
A Quantitative Reasoning Approach To Algebra Using InquiryBased Learning, Victor I. Piercey
Numeracy
In this paper, I share a hybrid quantitative reasoning/algebra twocourse sequence that challenges the common assumption that quantitative literacy and reasoning are less rigorous mathematics alternatives to algebra and illustrates that a quantitative reasoning framework can be used to teach traditional algebra. The presentation is made in two parts. In the first part, which is somewhat philosophical and theoretical, I explain my personal perspective of what I mean by “algebra” and “doing algebra.” I contend that algebra is a form of communication whose value is precision, which allows us to perform algebraic manipulations in the form of simplification and ...
An Investigation Of Palindromes And Their Place In Mathematics, Ryan Andrew Nivens
An Investigation Of Palindromes And Their Place In Mathematics, Ryan Andrew Nivens
Ryan Andrew Nivens
What do the Honda Civic, the Mazda 626, and the Boeing 747 have in common? What about Weird Al's song Bob, the first name of Miley Cyrus' alter ego, and the 70s sensation Abba? What do all these things have in common? They all contain palindromes. While some people recognise a palindrome when they see one, fewer realise that a palindrome is a special case of a pattern and that these patterns are all around. Palindromes frequently occur in names, both of vehicles and people, and in music.
Algebra, Calculus, And The Act, Alex S. Krysl
Algebra, Calculus, And The Act, Alex S. Krysl
Honors Theses AY 16/17
It is a common saying that “the hardest part of calculus is the algebra”. Unfortunately, I found that many students lack the necessary, prerequisite algebra skills and knowledge in order to utilize completely the novel calculus concepts learned. For calculus to be effective, algebraic manipulation presents itself as an essential precondition.
As an example, students apply exponent rules throughout the whole differentiation and integration process—like the power rule. For students who lacked a solid background or basis in algebraic concepts like exponent rules, factoring, rewriting equations, and graphing functions, I observed their learning taking place in the calculus classroom ...
The Impact Of An Elementary Algebra Course On Student Success In A CollegeLevel Liberal Arts Math Course And Persistence In College, Lori Ann Austin
The Impact Of An Elementary Algebra Course On Student Success In A CollegeLevel Liberal Arts Math Course And Persistence In College, Lori Ann Austin
Theses and Dissertations
Many students enter community college underprepared for collegelevel math and are placed into developmental elementary algebra without consideration if the algebra will provide a foundation for their needed collegelevel math course. Large percentages of those students are unable to succeed in the developmental course and, therefore, are unable to graduate (Bahr, 2008; Bailey, Jeong, & Cho, 2010). This quasiexperimental design focused on students who are not in mathintensive majors, needing only a general liberal arts math course. The purpose was to determine the impact of the elementary algebra course on success in collegelevel math and persistence in college. Student performance data ...
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 K12 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, AhlgrimDelzell, Harris & Wakeman, 2008; CreechGalloway, Collins, Knight, & Bausch, 2013; Courtade, Spooner, Browder, & Jimenez, 2012; Göransson, HellblomThibblin, & 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 singlecase multiplebaseline 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.