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Science and Mathematics Education Commons

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Full-Text Articles in Science and Mathematics Education

Algebra, Calculus, And The Act, Alex S. Krysl Apr 2017

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 ...


A Matter Of Time: The Relationship Of Class Length And Demographics On The South Carolina Algebra I End-Of-Course Test In South Carolina Middle Schools, Jennifer Addie Ramsey Dec 2016

A Matter Of Time: The Relationship Of Class Length And Demographics On The South Carolina Algebra I End-Of-Course Test In South Carolina Middle Schools, Jennifer Addie Ramsey

Education Dissertations and Projects

For middle school students taking Algebra 1 as a high school credit, having sufficient instructional time to understand and explore the course content is crucial. While the focus of the literature review helps lend understanding to the study, there has been limited information concerning assessment scores in middle school math classes and the length of class time. This study investigated the differences in the End-of-Course Examination Program (EOCEP) test scores of middle school students in Algebra 1 as influenced by schedules used in South Carolina public middle schools for each individual year in a 5-year span of the 2010-2015 academic ...


Algebraic Content And Pedagogical Knowledge Of Sixth Grade Mathematics Teachers, Mariyam Shahuneeza Naseer Jan 2016

Algebraic Content And Pedagogical Knowledge Of Sixth Grade Mathematics Teachers, Mariyam Shahuneeza Naseer

Walden Dissertations and Doctoral Studies

Algebra test scores of the Maldivian students from grade 6 through 12 are the lowest compared to any other area of mathematics. Algebra is a fundamental topic in mathematics and lays the foundation for mathematical reasoning and complex problem-solving. Research shows that strengthening algebra instruction could improve student achievement. This concurrent mixed methods study examined the algebraic content and pedagogical knowledge of 5 sixth grade mathematics teachers who teach in 5 different schools across the Maldives. Shulman's major categories of teacher knowledge and Ball, Thames, and Phelps' domains of mathematical knowledge for teaching guided this study. The research questions ...


Scaffolding The Mathematical “Connections”: A New Approach To Preparing Teachers For The Teaching Of Lower Secondary Algebra., Christine A. Ormond Jan 2016

Scaffolding The Mathematical “Connections”: A New Approach To Preparing Teachers For The Teaching Of Lower Secondary Algebra., Christine A. Ormond

Australian Journal of Teacher Education

This paper discusses the results of a three-year mixed methods study into the effectiveness of a mathematics education unit. This was written for both pre-service primary education students and re-training in-service teachers, to prepare them for the teaching of pre-algebra and early algebra. The unit was taught rom 2013 to 2015 inclusively in a School of Education setting of a university in an Australian capital city. Focusing on the Number and Algebra strand in the Australian Curriculum, its purpose was to better prepare some novice teachers through modelling a more coherent approach to mathematics teaching. The unit’s genesis lies ...


Effects Of Embedded Study-Skills Instruction On High School Students' Attitudes Toward Mathematics, Alberta Diahann Banks Jan 2015

Effects Of Embedded Study-Skills Instruction On High School Students' Attitudes Toward Mathematics, Alberta Diahann Banks

Walden Dissertations and Doctoral Studies

The target school used embedded study skills in Algebra I classes to improve attitudes toward mathematics. The purpose of this sequential, explanatory mixed-methods study was to examine the effect of embedded study-skills instruction on students' attitudes toward mathematics. Metacognitive theory was used for this study's framework. Participants were 28 Grade 9 and 10 students who repeated Algebra I. Quantitative data from the Attitudes Toward Mathematics Inventory assessed students' pre- and post-instruction attitudes toward mathematics in 4 domains. Data were analyzed using 4 independent samples t tests for students who did and did not receive embedded instruction. Qualitative data were ...


Pathways To Professional Growth: Investigating Upper Primary School Teachers’ Perspectives On Learning To Teach Algebra, Karina J. Wilkie, Doug Clarke Jan 2015

Pathways To Professional Growth: Investigating Upper Primary School Teachers’ Perspectives On Learning To Teach Algebra, Karina J. Wilkie, Doug Clarke

Australian Journal of Teacher Education

This paper discusses upper primary school teachers’ perspectives on changes to their knowledge and practice through participation in a design-based research project. It analyses their experiences using Clarke & Hollingsworth’s (2002) empirically-founded model for professional growth to understand more about the mechanisms for change that might support teachers in learning to teach a challenging but important aspect of mathematics – algebra. Ten teachers were involved in cycles of collaborative planning, team-teaching, evaluating, and revising five lessons for their classes on developing functional thinking through pattern generalisation over one year. The teachers referred to observations of teaching in action, and modification of ...


Cartooning In Algebra And Calculus, Lauren Jeneva Moseley Ph.D. Jan 2014

Cartooning In Algebra And Calculus, Lauren Jeneva Moseley Ph.D.

Lauren Jeneva Moseley

This article discusses how teachers can create cartoons for undergraduate math classes, such as college algebra and basic calculus. The practice of cartooning for teaching can be helpful for communication with students and for students’ conceptual understanding.


An Investigation Of Factors Affecting Student Performance In Algebraic Word Problem Solutions, Jerry Eugene Wright Jan 2014

An Investigation Of Factors Affecting Student Performance In Algebraic Word Problem Solutions, Jerry Eugene Wright

Education Dissertations and Projects

This dissertation was designed to investigate the potential significance of several student algebraic word problem solving skills. The solution of an algebra word problem (AWP) requires the creation and solution of an equation based on the problem context. Common Core State Standards in both English Language Arts and Mathematics emphasize student learning and proficiency in algebra word problem contexts. Eight factors of student mathematical ability were proposed, and three of those eight factors were studied in depth to determine their significance. Similar research supported the theory that the translation phase of the solution process presented the student with the most ...


The Mathematics Of Skateboarding: A Relevant Application Of The 5es Of Constructivism, William H. Robertson Dec 2012

The Mathematics Of Skateboarding: A Relevant Application Of The 5es Of Constructivism, William H. Robertson

William H. Robertson

lives is a challenge for educators. As part of a weeklong mathematics summer enrichment program held in the summer of 2010 at a southern university in the United States (US), eighty-five high school students participated in a unique set of activities designed to integrate mathematics concepts and skateboarding. Project leaders used a constructivist framework to design student-centered experiences implemented in the outdoor setting of a local skatepark and in campus classrooms. The activities designed for students in “The Mathematics of Skateboarding” demonstrated innovative and creative ways to engage students in content and skills mapped to state requirements for high school ...


The Impact Of Bilingual Treatment On The Math Skills Of Hispanic High School Algebra Students, Robert Kirk Jan 2011

The Impact Of Bilingual Treatment On The Math Skills Of Hispanic High School Algebra Students, Robert Kirk

Education Dissertations and Projects

This dissertation was designed to measure the impact of instructional techniques in the Foundations of Algebra classroom to bridge linguistic barriers between Hispanic students and the language of teaching. Two consecutive years of failing to meet anticipated yearly growth among Hispanic students in Algebra I, as determined by the North Carolina End of Course exams, indicated a cognitive gap among these students when it comes to learning mathematics.

The writer developed an experiment to be delivered among 9 sections of Algebra in a North Carolina high school. The control group used Microsoft PowerPoint slides created for every lesson plan determined ...


The Relationship Between Core-Plus Mathematics Project And Student Achievement, Karen Renee Treadway-Harvel Jan 2010

The Relationship Between Core-Plus Mathematics Project And Student Achievement, Karen Renee Treadway-Harvel

Wayne State University Dissertations

The Third International Mathematics and Science Study (TIMSS) study revealed that test scores from high school students were below average in mathematics and science. Studies show that part of it stem from the traditional methods of teaching rather than the standards-based teaching. According to the No Child Left Behind (NCLB) act, students should receive a rigorous and relevant curriculum. The High School Content Expectations (HSCE) is a set of objectives that meet this criteria but the current curriculum still uses traditionally-based curriculum. More than 80% of textbooks located in schools today are traditionally-based. Moreover, teachers who are teaching have been ...