Digital Commons Network^™

Analyzing Mathematics And Ap Statistics Assessment Items In Terms Of The Levels Of Thinking Skills They Assess, Shadreck S. Chitsonga

Georgia Educational Researcher

This study is a part of a large study that investigated the Assessment Practices of Mathematics Teachers who also teach AP Statistics. In this paper I investigate the thinking skills that assessment items used mathematics and AP Statistics classroom assess. Two teachers who were teaching mathematics and AP Statistics participated in this study. Each teacher was observed 12 times in class. Artifacts were also collected from each teacher, mainly oral questions and written questions. A mathematics taxonomy framework was used to analyze the characteristics of the assessment items. The results of the study indicated that assessment questions (oral and written) …

Implementasi Pendekatan Saintifik Mapel Matematika Kelas Vii Tahun Pelajaran 2013/2014 Pada Kurikulum 2013 Diy, Rusindrayanti Rusindrayanti, Rusgianto Heru Santoso

PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika

Penelitian ini bertujuan untuk mendeskripsikan (1) pemahaman guru matematika, (2) implementasi pendekatan saintifik, dan (3) hambatan dan solusi. Penelitian ini merupakan penelitian deskriptif kualitatif. Subjek penelitian ini 20 orang guru matematika kelas VII di Provinsi DIY. Teknik pengumpulan data yang digunakan adalah observasi, wawancara, dan dokumentasi. Instrumen penelitian ini adalah lembar review dokumen, lembar observasi, dan pedoman wawancara. Data dianalisis secara kualitatif dengan proses pengumpulan data, reduksi data, penyajian data, dan verifikasi atau penarikan kesimpulan. Hasil penelitian menunjukkan bahwa (1) pemahaman guru memiliki kriteria baik dengan rata-rata penilaian total 3,86 dari nilai maksimum 5 (2) Implementasi pendekatan saintifik memiliki kriteria …

Nonparametric Methods For Data In Infinite Dimensional Space., Anirvan Chakraborty Dr.

Doctoral Theses

For univariate as well as finite dimensional multivariate data, there is an extensive literature on nonparametric statistical methods. One of the reasons for the popularity of nonparametric methods is that it is often difficult to justify the assumptions (e.g., Gaussian distribution of the data) made in the models used in parametric methods. Nonparametric procedures use more flexible models, which involve less assumptions. So, they are more robust against possible departures from the model assumptions, and are applicable to a wide variety of data. Nonparametric methods outperform their parametric competitors in many situations, where the assumptions required for the parametric methods …

Increasing Number Sense At The Preschool Level, Sarah Marie Koenig

School of Education and Leadership Student Capstone Theses and Dissertations

This capstone addresses the question, “What strategies can be used to increase number sense at the preschool level?”. Current research states that preschoolers need opportunities to learn about numbers and math concepts through a balance of natural play and exploration, intentional teaching, and structured learning activities embedded in their daily routines. Through the process of curriculum design using McTighe and Wiggins’ Understanding By Design framework, the author created a learning plan that includes lessons, resources, and parent/child activities using a variety of instructional strategies to teach number sense at the preschool level. The learning plan includes a sequence of activities …

Using Guided Math And Flipped Learning In A Fifth Grade Fractions Unit, Kristin Leigh Moore

School of Education and Leadership Student Capstone Theses and Dissertations

The research question addressed in this project was: How can I design a math curriculum that will increase fifth grade students’ understanding of fraction concepts? The author began her research by investigating the struggles elementary students face when learning fraction concepts, which led to a study of four instructional strategies: ability grouping, differentiation, flipped learning, and guided math. The author considered the work of Boaler, Sammons, Tomlinson, Tucker, and Vann to inform her research. After careful reflection on the benefits and limitations of each strategy, the author chose to create a hybrid unit utilizing both guided math and flipped learning. …

When And Why Do Native English Speaking Students In A Spanish Immersion Setting Switch Into English During Math Instruction?, Samantha Marie Judith Holland

School of Education and Leadership Student Capstone Theses and Dissertations

This study addressed when and why do native English speakers in a Spanish immersion switch into English during math instruction? This capstone studied 30 students in a Spanish immersion school in an affluent suburban area in the Upper Midwest. The author used literature from other types of immersion schools to highlight the lack of research on native English speakers in immersion settings. This capstone used audio- recordings, questionnaires and open-ended interviews to research the question. The researcher concludes that teaching Spanish vernacular in the immersion model would decrease the amount of English in the math classroom and that language objectives …

The Effects Of Metacognitive Writing On Student Achievement In Advanced Placement Calculus, Lindsay M. O'Neal

Education Dissertations

Grounded in metacognitive theory (Flavell, 1976) and historical foundations that reach back as far as the writings of Plato (1973), the last few decades have seen an increase in research regarding the impact of metacognitive practice on student learning, often through the use of reflective writing. Studies have focused on a range of aspects, from how to measure metacognition to the effect metacognitive practice has on the academic achievement of students in a variety of subject areas. Specifically with regard to mathematics, researchers have studied the impact of reflective strategies on primary, secondary, and university level students.

The purpose of …

Learning Support Effectiveness In Mathematics At A Tennessee University, Mark Dula

Electronic Theses and Dissertations

Every year thousands of students graduate from high school and move on to higher education, but many of them are not yet prepared for college level courses. The Tennessee Board of Regents does not currently allow 4-year institutions to teach courses that are below college level, so many institutions are using programs such as learning support courses to assist a growing population of underprepared students. The purpose of this study was to determine if the 1-term and 2-term retention rates for students with the same ACT mathematics subsection scores were different between students who took a regular section of Probability …

Investigating Teachers' Content Knowledge And Pedogogical Content Knowledge In A Middle School Physical Science Curriculum On Force And Motion, Daniel Patrick Laverty

Electronic Theses and Dissertations

Teaching is a profession that requires the incorporation of many types of knowledge in order to create effective instructional experiences that promote student learning. Teachers need to blend their knowledge of the content with the methods for delivering that content and an understanding of their students' thinking. With increasing concern in the United States over student achievement in science and mathematics, there is ongoing discussion about which elements of teacher knowledge most directly correlate with effective instruction. How do specific strands of teacher knowledge blend to influence student learning outcomes? This study explores the roles of teacher content knowledge (CK) …

Montessori Mathematics Curriculum And Lower Elementary Students Understanding Of Length Measurement, Katherine L. Mcintosh

Masters of Arts in Education Action Research Papers

The intent of this action research project was to determine to what extent the Montessori Mathematics curriculum support lower elementary students’ understanding of length measurement. The research took place in a private Montessori school classroom with first and second-grade students. There were 22 students in the class, 11 first graders, and 11 second-graders. Data was collected through a pre and post-test, field notes, and observations. The students also kept a journal and performed self-assessments. Photographs were taken to record the students’ use of different measurement tools. Children’s literature about length measurement was read and discussed with the students. The data …

Designing For Immersive Technology: Integrating Art And Stem Learning, Jane Crayton

Art & Art History ETDs

Students struggle to learn STEM concepts. The arts have been proposed as a means to engage students in STEM education, resulting in the idea of STEAM. However, STEAM approaches do not always result in learning. A collaboration between a major research university and a small Native arts college in the southwestern United States provided an opportunity for studying the potential for arts to engage students in STEM learning. This study investigates how participating art students (N = 4) solved technological and design production problems when working with immersive technologies in a paid summer internship program. The internship program lasted six …

The Impact Of An Interactive Technology Application On Elementary Student Achievement In Fractions., Shannon M. Stone

Electronic Theses and Dissertations

Data reported locally and nationally show that students struggle to understand fractional concepts. The purpose of this study was to examine the effects of an interactive tablet application on student achievement in fractions. Students in grades three through five at the treatment school worked with an interactive tablet application designed to facilitate student construction of fractions knowledge. The interactive tablet application is an open-platform that allowed teachers the autonomy to work with the researcher to load their desired content activities on the topic of fractions to develop instructional sessions for students. Students worked independently during the math workshop to complete …

Understanding The Meaning Of The Equal Sign : An Investigation Of Elementary Students And Teachers., Victoria Miller Bennett

Electronic Theses and Dissertations

The purpose of this study was to investigate the impact of two different policies for implementing new mathematics standards in two schools, for grades two through five, on student understanding of the equal sign. The study also examined teachers’ knowledge of the equal sign. The research used a mixed methods design to explore differences in student understanding of the equal sign as a result of how standards were implemented in two adjoining states with two different decisions as to when the standards would be implemented. This dissertation shares research that may be of interest to teachers, administrators, teacher educators and …

Building Depth Of Understanding Of The Concept Of Number Sense And Algebra In Students Grades 7 And 8, Catherine Janes

Dissertations, Masters Theses, Capstones, and Culminating Projects

Mathematics instruction offers both challenges and rewards to students. Teachers tend to focus on transmission of knowledge. Student creativity and problem-solving skills are not typically activated with common teaching practices. When students are engaged in mathematics they are recognizing patterns, making connections on their own, coming up with creative solutions, and discussing mathematical ideas with peers and adults. The purpose of this study was to identify, employ, and evaluate strategies that engage students in these practices and assist them in developing a deep understanding of mathematics concepts such as number sense and algebra.

The review of the literature began with …

Influence Of Property School Wealth On Fifth Grade Student Achievement In Reading And Mathematics, Jesus R. Reyna

Theses and Dissertations

The purpose of this study was to investigate whether, or to what extent, property wealth of the upper and lower 5% districts, per pupil expenditure, limited English proficient students, economically disadvantaged students, membership, and teacher experience contribute to student achievement in 5th grade reading and mathematics. To do this, the fifth grade reading and math achievement scores, based on the TAKS Assessments, to represent student achievement were evaluated against district wealth, per pupil expenditure, economic disadvantage, limited English language proficiency, membership, and years of teaching experience of teachers for the years 2009, 2010, and 2011. A combination of descriptive statistics, …

2015: "Go With The Flow", Paul Nebres '16, Kushagra Gupta '16, Jason Chen '16, Noor Michael '16

Distinguished Student Work

In a famous incident in August 2010, a Chinese traffic jam stretched for over 100 kilometers and stranded drivers took over two weeks to get from one side to the other. Stemming from a routine lane closure for road maintenance, the traffic jam soon spiraled out of control, as cars piling up at the jam greatly outnumbered those leaving the other end. Sadly, in todays overpopulated world, these sorts of nightmare scenarios are only becoming more and more common, from chronic traffic jams in congested Chinese cities to Carmageddon in Los Angeles. For drivers, these extensive traffic jams can be …

2015: "No Safety, Know Pain : Know Safety, No Pain", Brice Wang '16, Joy Qiu '16, Daniel Sohn '16, Angad Garg '16

Distinguished Student Work

In the world we live in today, many people live in urban or suburban areas. For this reason, residents of these metropolitan areas should be aware of the safety of the city they live in so they can take necessary precautions and educate youth about what actions are safe. In addition, judging the safety of a city allows the government of the city to analyze what factors and laws make other cities safer, and how they can replicate these conditions to make their city a safer place as well.

Student Perceptions Of Caring Mathematics Instruction, Andrew B. Spires

Georgia Educational Research Association Conference

In my study I would like to examine how students who are part of a ninth grade mathematics intervention program describe caring mathematics instruction. Researchers have shown the importance of caring instruction especially as it relates to high school mathematics instruction of students who have a history of academic struggles and failure. Given that caring is a complex construct, students’ perceptions of teacher caring not only has the potential to inform high school mathematics instruction but also could lead to healthier and stronger teacher-student relationships.

Contribution And Citation Impact Of Panjab University In Mathematics Research During 2005-14, Madhu Bansal, Jivesh Bansal, Harinder Singh Saini, B M. Gupta

Library Philosophy and Practice (e-journal)

This paper analyzes 230 research publications of the Panjab University in mathematics during ten years (2005-14), as covered in Scopus International database. The study quantifies publication data in various aspects of performance, such as the publication growth, research impact and quality, national and international collaboration, contribution and impact of authors, major areas of research, preferred channels of research communications and characteristics of higher cited papers. The findings reveal that Panjab University total publications in mathematics has increased at an annual average growth rate of 17.15% and registered an average citation impact per paper of 2.92 and impact factor per paper …

Mathematics In Contemporary Society Chapter 1, Patrick J. Wallach

Open Educational Resources

Mathematics in Contemporary Society is the textbook that corresponds to MA-321, the course of the same name. The course is designed to provide students with mathematical ideas and methods found in the social sciences, the arts, and in business. Topics will include fundamentals of statistics, scatterplots, graphics in the media, problem solving strategies, dimensional analysis, mathematics in music and art, and mathematical modeling. EXCEL is used to explore real world applications.

The textbook was posted in weekly installments:

• Chapter 1
• Chapter 2
• Chapter 3
• Chapter 4
• Chapter 5
• Chapter 6
• Chapter 7
• Chapter 8
• Chapter 9
• Chapter 10
• Chapter 11

Mathematics In Contemporary Society Chapter 6, Patrick J. Wallach

Open Educational Resources

Mathematics in Contemporary Society is the textbook that corresponds to MA-321, the course of the same name. The course is designed to provide students with mathematical ideas and methods found in the social sciences, the arts, and in business. Topics will include fundamentals of statistics, scatterplots, graphics in the media, problem solving strategies, dimensional analysis, mathematics in music and art, and mathematical modeling. EXCEL is used to explore real world applications.

The textbook was posted in weekly installments:

• Chapter 1
• Chapter 2
• Chapter 3
• Chapter 4
• Chapter 5
• Chapter 6
• Chapter 7
• Chapter 8
• Chapter 9
• Chapter 10
• Chapter 11

Mathematics In Contemporary Society Chapter 7, Patrick J. Wallach

Open Educational Resources

Mathematics in Contemporary Society is the textbook that corresponds to MA-321, the course of the same name. The course is designed to provide students with mathematical ideas and methods found in the social sciences, the arts, and in business. Topics will include fundamentals of statistics, scatterplots, graphics in the media, problem solving strategies, dimensional analysis, mathematics in music and art, and mathematical modeling. EXCEL is used to explore real world applications.

The textbook was posted in weekly installments:

• Chapter 1
• Chapter 2
• Chapter 3
• Chapter 4
• Chapter 5
• Chapter 6
• Chapter 7
• Chapter 8
• Chapter 9
• Chapter 10
• Chapter 11

Mathematics In Contemporary Society Chapter 10, Patrick J. Wallach

Open Educational Resources

Mathematics in Contemporary Society is the textbook that corresponds to MA-321, the course of the same name. The course is designed to provide students with mathematical ideas and methods found in the social sciences, the arts, and in business. Topics will include fundamentals of statistics, scatterplots, graphics in the media, problem solving strategies, dimensional analysis, mathematics in music and art, and mathematical modeling. EXCEL is used to explore real world applications.

The textbook was posted in weekly installments:

• Chapter 1
• Chapter 2
• Chapter 3
• Chapter 4
• Chapter 5
• Chapter 6
• Chapter 7
• Chapter 8
• Chapter 9
• Chapter 10
• Chapter 11

Mathematics In Contemporary Society Chapter 9, Patrick J. Wallach

Open Educational Resources

Mathematics in Contemporary Society is the textbook that corresponds to MA-321, the course of the same name. The course is designed to provide students with mathematical ideas and methods found in the social sciences, the arts, and in business. Topics will include fundamentals of statistics, scatterplots, graphics in the media, problem solving strategies, dimensional analysis, mathematics in music and art, and mathematical modeling. EXCEL is used to explore real world applications.

The textbook was posted in weekly installments:

• Chapter 1
• Chapter 2
• Chapter 3
• Chapter 4
• Chapter 5
• Chapter 6
• Chapter 7
• Chapter 8
• Chapter 9
• Chapter 10
• Chapter 11

Mathematics In Contemporary Society Chapter 11, Patrick J. Wallach

Open Educational Resources

Mathematics in Contemporary Society is the textbook that corresponds to MA-321, the course of the same name. The course is designed to provide students with mathematical ideas and methods found in the social sciences, the arts, and in business. Topics will include fundamentals of statistics, scatterplots, graphics in the media, problem solving strategies, dimensional analysis, mathematics in music and art, and mathematical modeling. EXCEL is used to explore real world applications.

The textbook was posted in weekly installments:

• Chapter 1
• Chapter 2
• Chapter 3
• Chapter 4
• Chapter 5
• Chapter 6
• Chapter 7
• Chapter 8
• Chapter 9
• Chapter 10
• Chapter 11

Flipping In A Technological Rich Classroom, John W. Budge

EDL Sixth Year Theses

The purpose of this study was to explore eighth grade students’ perception of a flipped classroom environment. It is difficult to engage and motivate eighth grade students. This study was created in order to determine if a flipped classroom would spark more interest and therefore eventually lead to an increased ability. More specifically, this study investigated how students perceive their learning is progressing in a flipped math classroom, and how engaged are they using the technology compared to the traditional classroom setting. The classroom environment was switched to a flipped classroom at the start of a new unit in October. …

Preservation Of Periodicity In Variational Integrators, Jian-Long Liu

Master's Theses

Classical numerical integrators do not preserve symplecticity, a structure inherent in Hamiltonian systems. Thus, the trajectories they produce cannot be expected to possess the same qualitative behavior observed in the original system. Pooling recent results from O'Neale and West, we explore a particular class of numerical integrators, the variational integrator, that preserves one aspect of the range of behavior present in Hamiltonian systems, the periodicity of trajectories. We first establish the prerequisites and some key concepts from Hamiltonian systems, particularly symplecticity and action-angle coordinates. Through perturbation theory and its complications manifested in small divisor problems, we motivate the necessity for …

Generic Polynomials, Lucas Spencer Mattick

Master's Theses

In Galois theory one is interested in finding a polynomial over a field that has a given Galois group. A more desirable polynomial is one that parametrizes all such polynomials with that given group as its corresponding Galois group. These are called generic polynomials and we provide detailed proofs of two theorems that give methods for constructing such polynomials. Furthermore, we construct generic polynomials for Sn, C3, V , C4, C6, D3, D4, and D6.

Computation In A Localization Of The Free Group Algebra, Olga Zamoruyeva

Master's Theses

The coefficients of a Taylor series expansion of any rational function in one variable satisfy a linear recurrence relation. Our main result is a generalization of this statement for rational functions of multiple non-commutative variables. We show that if such a function is represented in the form of a non-commutative formal power series via Magnus embedding, then the coefficients of this formal power series are determined by a finite set of linear homogeneous recurrence relations. This finite representation of an infinite series allows for efficient computation of operations (multiplication, addition, and in many cases inversion) on non-commutative rational functions.

Foliations With Geometric Structures: An Approach Through H-Principle., Sauvik Mukherjee Dr.

Doctoral Theses

A foliation on a manifold M can be informally thought of as a partition of M into injectively immersed submanifolds, called leaves. In this thesis we study foliations whose leaves carry some specific geometric structures.The thesis consists of two parts. In the first part we classify foliations on open manifolds whose leaves are either locally conformal symplectic or contact manifolds. These foliations can be described by some higher geometric structures - namely the Poisson and the Jacobi structures. In the second part of the thesis, we consider foliations on open contact manifolds whose leaves are contact submanifolds of the ambient …