Digital Commons Network^™

Mathematics, English And Gender Issues: Do Teachers Count?, Gilah C. Leder, Helen J. Forgasz, Glenda Jackson

Australian Journal of Teacher Education

Pedestrians were stopped in the street and asked about their views on the teaching and learning of mathematics and English for boys and girls. Many commented on the importance of teachers for both subject areas; some respondents self-identified as teachers. In this article we present findings on the gendering of mathematics and English and the impact that teachers can have on learning outcomes in these disciplines. The data reveal that mathematics is endorsed by many as a male domain and English as a female domain, and that teachers play an influential part in the learning outcomes – achievement, future participation, …

Classworks As A Means To Gaining Equity In The General Education Math Classroom: Perceptions Of Students Receiving Special Education Services, Diane Marshall

College of Graduate Studies: Theses & Dissertations

With the importance of math steadily increasing, researchers in the field of special education have made efforts to increase the performance of students with disabilities (Fuchs et al., 2008; Gersten, Jordan, & Flojo, 2005). Despite the deficits these students face, the trend has been for many years that most students with disabilities in math receive their instruction in the general education classroom. The purpose of this study was to examine the perceptions that students receiving special education services have regarding the effectiveness of Classworks, a computer-assisted instructional program, in helping them gain equity in the general education math classroom. Critical …

Is There A Difference In Motivation And Mathematics Self-Efficacy Among Online Mathematics Instructional Video Viewers, Charles Edgar Hampton

Instructional Technology Education Specialist Research Papers

Researching US K-12 STEM proficiency reveals severe and widespread consequences, for post-secondary and vocational environments. Sources in both environments cite lack of skills and competency as the major cause of increasing remedial mathematics enrollment and growing unemployment. One reasonable and simple method of better preparing students is the viewing online mathematics instructional videos. Online mathematics instructional videos are widely available, efficacious, and free to access via KhanAcademy.org and YouTube’s Education portal. Mobile, personal, and desktop technology device ownership and free WIFI or reduced price Internet service is increasing dramatically each year, so means of access are not a problem. This …

Improving Mathematics: An Examination Of The Effects Of Specific Cognitive Abilities On College-Age Students’ Mathematics Achievement, Gordon E. Taub, Nicholas Benson, Judit Szente

International Journal for the Scholarship of Teaching & Learning

This study investigated the effects of general intelligence and seven specific cognitive abilities on college-age students’ mathematics achievement. The present investigation went beyond previous research by employing structural equation modeling. It also represents the first study to examine the direct and indirect effects of general and specific cognitive abilities, simultaneously, on the mathematics achievement of college-age students. A model developed using the Cattell-Horn-Carroll theory of intelligence was the theoretical model used in all analyses. Data from 1,054 college-age students who participated in the standardization of the Woodcock–Johnson III (Woodcock, McGrew, & Mather, 2001) were divided into a calibration sample set …

Paper 2: Design Considerations For Visually-Aided Discussion Prompts: Emphasizing Mathematical Reasoning In Teacher Education, Anne Marie S. Marshall, Kadian M. Callahan

Georgia Association of Mathematics Teacher Educators (GAMTE) Annual Conference (2007-2019)

The availability and familiarity of online discussion tools create new instructional options that teacher educators can use to foster prospective teachers’ understanding of mathematics. In particular, online discussion blogs provide an avenue through which teacher educators can press prospective teachers to explore mathematical concepts and share their mathematical reasoning with peers. Furthermore, by incorporating visual stimulations as a design component of these discussion blogs, prospective teachers can make sense of and respond to others’ ideas about mathematical concepts with greater clarity. This paper shares preliminary findings of a research study that examined the extent to which the design of a …

Design Considerations For Visually-Aided Discussion Prompts: Emphasizing Mathematical Reasoning In Teacher Education, Anne Marie S. Marshall, Kadian M. Callahan

Proceedings of the Annual Meeting of the Georgia Association of Mathematics Teacher Educators

The availability and familiarity of online discussion tools create new instructional options that teacher educators can use to foster prospective teachers’ understanding of mathematics. In particular, online discussion blogs provide an avenue through which teacher educators can press prospective teachers to explore mathematical concepts and share their mathematical reasoning with peers. Furthermore, by incorporating visual stimulations as a design component of these discussion blogs, prospective teachers can make sense of and respond to others’ ideas about mathematical concepts with greater clarity. This paper shares preliminary findings of a research study that examined the extent to which the design of a …

Teaching For Students' Confident Transition From Number To Algebra, Christina Lang Lee

Theses: Doctorates and Masters

The adoption by all states and territories of the national curriculum by 2013 saw students in schools across the country taught introductory algebraic concepts from Year Five. In the twenty first century the need to be algebraically competent has become a necessity much as computation was in the previous centuries.

The Researcher has found from experience that students who have struggled with number and number operations will then most probably make poor progress in their study of algebra. The transition from number to algebra requires a robust understanding of number and number operations

This study investigated the balance of instructional …

The Acquisition Of Expertise In The Classroom: Are Current Models Of Education Appropriate?, Craig P. Speelman

Research outputs 2014 to 2021

The study of expertise tends to focus on humans who can perform extraordinary feats. Although the way in which expertise is acquired is often characterized as similar to everyday skill acquisition, the attainment of basic numeracy skills is rarely considered in the same context as the attainment of expertise. It is clear, though, that average numeracy skills possess all the hallmarks of expert performance. In this paper I argue that the traditional classroom of Western education systems pays insufficient attention to the idea that effective numeracy skills represent a level of expertise that requires a particular form of training. Using …

Hankel Vector Moment Sequences And The Non-Tangential Regularity At Infinity Of Two Variable Pick Functions, Jim Agler, John E. Mccarthy

Mathematics Faculty Research

A Pick function of variables is a holomorphic map from to , where is the upper halfplane. Some Pick functions of one variable have an asymptotic expansion at infinity, a power series with real numbers that gives an asymptotic expansion on non-tangential approach regions to infinity. In 1921 H. Hamburger characterized which sequences can occur. We give an extension of Hamburger's results to Pick functions of two variables.

Effectiveness Of Technology-Integrated Instruction On High School Students' Mathematic Achievement Scores, Michele Lee Ramsay

Walden Dissertations and Doctoral Studies

In an effort to improve mathematics retention and increase assessment scores, the public school district under study implemented Study Island into their Grade 9 algebra program. Study Island is a commercialized web-based program, customized to specific state standards and applied as a supplemental instructional tool. The purpose of this study was to determine the effectiveness of Study Island with general education students and to determine whether the effectiveness of replacing some traditional mathematic instruction with technology was beneficial. The theoretical foundation stemmed from Bloom's work on mastery learning, which holds that children can learn if given the proper environment and …

Pengembangan Multimedia Pembelajaran Matematika Sma Untuk Meningkatkan Motivasi Dan Prestasi Belajar Matematika Materi Logika Matematika, Muhammad Istiqlal, Dhoriva Urwatul Wutsqa

PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika

Tujuan penelitian ini adalah untuk menghasilkan multimedia pembelajaran matematika yang berkualitas baik dan layak untuk digunakan dalam pembelajaran matematika dan mendeskripsikan seberapa baik kualitas perangkat pembelajaran matematika yang dihasilkan. Kriteria kualitas yang digunakan mengacu pada kriteria Nieveen, yaitu valid, praktis dan efektif. Materi yang dikembangkan adalah materi Logika Matematika. Jenis penelitian ini adalah penelitian pengembangan (Development research). Penelitian ini mengembangkan perangkat pembelajaran matematika dengan menggunakan model pengembangan yang diadaptasi dari model pengembangan Borg & Gall. Tahap-tahap yang dilalui sampai diperoleh multimedia pembelajaran matematika yang valid, praktis dan efektif adalah analisis kebutuhan dan perumusan tujuan, desain/pengembangan produk, uji coba, …

Pengembangan Soal Penalaran Model Timss Matematika Smp, Amrina Rizta, Zulkardi Zulkardi, Yusuf Hartono

Jurnal Penelitian dan Evaluasi Pendidikan

Penelitian ini bertujuan mengembangkan soal penalaran model TIMSS pada mata pelajaran matematika SMP yang valid dan praktis. Metode penelitian yang digunakan research and develop-ment. Kevalidan diketahui dari hasil penilaian validator pada lembar validasi yang menyatakan soal-soal yang dikembangkan telah baik berdasarkan content (sesuai dengan kurikulum dan ma-teri), construct (sesuai dengan karakteristik/indikator penalaran), dan bahasa (sesuai dengan kaidah bahasa yang berlaku/EYD) dan kepraktisan diketahui dari hasil uji coba one-to-one dan small group. Hasil penelitian berupa soal penalaran model TIMSS matematika SMP yang valid dan praktis. Hasil uji coba diperoleh rata-rata hasil tes penalaran siswa adalah 4 siswa (14,815%) tergolong mempunyai …

Using The Depth Of Knowledge Model To Create High School Mathematics Assessments--Research, Lynne Gannon Patterson, Meagan Musselman, Joel Rowlett

Journal of Excellence in College Teaching and Learning

This study examined the midterm exams of six high school math teachers and sought to (a) determine if teachers could accurately identify which level of Norman Webb’s Depth of Knowledge (DOK) model their test items aligned to, and (b) compare the actual percentage of test items at each DOK level to the targeted percentage based off Webb’s research. The study revealed that teachers were not accurate with their alignment of test items with Webb’s DOK model. They also came up short in comparison to the targeted percentages of test items at each level. Comprehensively, they were asking more questions at …

Model Spaces: A Survey, William T. Ross, Stephan Ramon Garcia

Department of Math & Statistics Faculty Publications

This is a brief and gentle introduction, aimed at graduate students, to the subject of model subspaces of the Hardy space.

Ambiguity And Inconsistencies In Mathematics Spoken In The Classroom: The Need For Teacher Training And Rules For Communication Of Mathematics, M.D. Isaacson, S. Srinivasan, Lyle Lloyd

Journal of Science Education for Students with Disabilities

Mathematics has the potential for being spoken ambiguously. This is problematic for many students, in particular those who have disabilities that inhibit processing of printed material. This paper documents the magnitude of potential ambiguity arising from textbooks and provides a measure of the degree to which potential ambiguity is actualized through teachers’ speech. Inconsistency among teachers in speaking mathematics is also documented. Evidence is provided that teachers are not adequately aware of ambiguity in speaking mathematics and that they believe that they should have training regarding ambiguity in communication of mathematics and how to speak mathematics non-ambiguously.

Learning To Teach Mathematics And To Analyze Teaching Effectiveness: Evidence From A Video- And Practice-Based Pre-Service Course, Rossella Santagata, Cathery Yeh

Education Faculty Articles and Research

Although emerging consensus exists that practice-based approaches to teacher preparation assist in closing the distance between university coursework and fieldwork experiences and in assuring that future teachers learn to implement innovative research-based instructional strategies, little empirical research has investigated teacher learning from this approach. This study examines the impact of a video- and practice-based course on prospective teachers’ mathematics classroom practices and analysis of their own teaching. Two groups of elementary prospective teachers participated in the study—one attended the course and one did not. Findings reveal that the course assisted participants in making student thinking visible and in pursuing it …

How Well Are Mathematics Common Core Standards Reflected In Mathematics College Readiness Expectations?--Research, Lisa Conn

Journal of Excellence in College Teaching and Learning

On February 10, 2010, Kentucky made history by being the first state to adopt the Common Core State Standards (CCSS). The CCSS were designed to be more rigorous, focused, and applicable (Holiday, 2010) than previous standards. The adoption of these standards was predicated by Senate Bill 1, Unbridled Learning. This bill required legislative bodies to develop a unified strategy to reduce the high college remediation rates of recent high school graduates by at least fifty percent before 2014. Along with high schools being required to address underprepared college students, state universities were to align their remediation courses with the new …

Mathematics Alum Joins Cowden Associates, Ohio University College Of Arts & Sciences

All Forum Articles

No abstract provided.

Accelerating Computational Algorithms, Michael Risley

Theses and Dissertations

Mathematicians and computational scientists are often limited in their ability to model complex phenomena by the time it takes to run simulations. This thesis will inform interested researchers on how the development of highly parallel computer graphics hardware and the compiler frameworks to exploit it are expanding the range of algorithms that can be explored on affordable commodity hardware. We will discuss the complexities that have prevented researchers from exploiting advanced hardware as well as the obstacles that remain for the non-computer scientist.

Analysis Of Mathematical Models Of The Human Lung, Cooper Racheal

Theses and Dissertations

The processes of lung ventilation and perfusion, diffusion, and gas transport make up the system of breathing and tissue oxygenation. Here, we present several mathematical formulations of the essential processes that contribute to breathing. These models aid in our understanding and analysis of this complex system and can be used to form treatments for patients on ventilators. With the right analysis and treatment options, patients can be helped and money can be saved. We conclude with the formulation of a mathematical model for the exchange of gasses in the body based on basic reaction kinetics.

Comparing Two Different Student Teaching Structures By Analyzing Conversations Between Student Teachers And Their Cooperating Teachers, Niccole Suzette Franc

Theses and Dissertations

Research has shown that preservice teachers participating in traditional student teaching programs tend to focus on classroom management, with very little focus on student mathematical thinking. The student teaching program at BYU has been redesigned in the hopes of shifting the focus of student teachers away from classroom management toward student mathematical thinking. This study compared conversations between student teachers and cooperating teachers before and after the redesign of the program to work towards determining the effectiveness of the refocusing of the new student teaching program. The study found that STs and CTs in the different student teaching structures were …

The Effects Of Standards-Based Grading On Student Performance In Algebra 2, Rachel Beth Rosales

Dissertations

The use of standards-based grading in American public schools is increasing, offering students, parents, and teachers a new way of measuring and communicating about student achievement and performance. Parents indicate an appreciation for this method of grading, and students at the elementary grades (K-6) have improved standardized test scores in reading and math as a result of its implementation. This study seeks to determine whether standards-based grading has the same effect on students at the high school level (grades 9-12) by comparing end-of-course test scores and posttest scores of Algebra 2 students enrolled in a standards-based graded classroom with to …

Secondary Mathematics Teachers’ Literacy Professional Learning: An Amalgamation Of Adolescent Literacy, Mathematics Teaching, And Adult Learning, Janet L. Larson

Department of Teaching, Learning, and Teacher Education: Theses and Other Student Research

This study uses practitioner research to examine secondary mathematics teachers’ learning of literacy integration practices in the context of a district-wide literacy professional development series. The author, a secondary mathematics curriculum and instruction facilitator in a large, Midwestern suburban district, engaged in a two-year partnership with seventeen Mathematics Teacher Facilitators (MTFs) who taught literacy practices to their colleagues via a train-the-trainer model. This study provides an explicit rendering of professional development practices and ongoing, job-embedded learning vignettes of six MTF’s experiences in (a) teaching literacy practices to their colleagues and (b) how they learned and enacted these practices in their …

Real Rational Curves Of Low Degree, Shane Dmello

Stony Brook Theses and Dissertations Collection, 2006-2020 (closed to submissions)

In the first part of the talk we will consider real planar rational curves of degree 4. We will prove that the rigid isotopy classification of real rational curves of degree 4 in the projective plane can be solved by considering their chord diagrams. In the second part of the talk, we will consider real rational knots on the 3-sphere. The 3-sphere can be realized as a subvariety of the projective space of dimension 4. Real rational knots in the 3-sphere are curves in the 4-dimensional projective space that lie on the 3-sphere. We will prove a rigid isotopy classification …

Effects Of School Choice On Math Performance, Rachel Ricioli Wittenberg

Dissertations, Masters Theses, Capstones, and Culminating Projects

The purpose of this study is to determine if there is a significant skill level difference between freshmen geometry students who attended charter schools and those who attended noncharter schools during middle school. The study addresses the controversy over charter schools providing better educational outcomes. The literature reviewed focuses on achievement in charter schools, and also discusses the indirect effects charter schools may have on surrounding public schools. The sample includes two cohorts of freshmen geometry students from the 2011- 2012 and 2012-2013 school years, which resulted in a sample size of 115 students. The results show that the difference …

The Effectiveness Of Computer-Assisted Instruction For Teaching Mathematics To Students With Specific Learning Disability, Sherry L. Stultz

The Journal of Special Education Apprenticeship

Using computers to teach students is not a new idea. Computers have been utilized for educational purposes for over 80 years. However, the effectiveness of these programs for teaching mathematics to students with specific learning disability is unclear. This study was undertaken to determine if computer-assisted instruction was as effective as other methods of instruction that do not use computers for teaching mathematics to these students. A two-week experimental research study with 36 male and 22 female participants was conducted to determine if a difference existed in the learning of high school students with specific learning disability who were taught …

Continuities On Subspaces, Timothy James Glatzer

Graduate Theses, Dissertations, and Problem Reports (ETD)

We define a generalized continuity by declaring that for any family S of subsets of a topological space X, a function f : X → Y is S -continuous if for each S∈ S , the function f ↾ S : S → Y is continuous. This is easily seen to generalize such well known concepts as separate continuity and linear continuity. Using this definition as a way to unify several disparate results, we attempt to create a theory of S -continuity. As a part of this program, we give constructions for S -continuous functions for several natural classes S …

Mathematics Interventions: A Correlational Study Of The Relationship Between Level Of Implementation Of The Accelerated Math Program And Student Achievement, Deborah Walker Driesel

Doctoral Dissertations and Projects

Current legislation, such as No Child Left Behind (2001) or the Individuals with Disabilities Education Act (2004), has increased accountability for schools for the education of all students. These laws require schools to provide interventions for struggling learners, as part of the Response to Intervention process (IDEA, 2004). Accelerated Math (AM), published by Renaissance Learning, is a scientifically based program designed to supplement quality instruction as part of the RtI process. This correlational study examined ex post facto data using pre and posttest scores on the STAR Math Test in relation to amount of classroom time dedicated to AM instruction …

The Kronecker-Weber Theorem: An Exposition, Amber Verser

Lawrence University Honors Projects

This paper is an investigation of the mathematics necessary to understand the Kronecker-Weber Theorem. Following an article by Greenberg, published in The American Mathematical Monthly in 1974, the presented proof does not use class field theory, as the most traditional treatments of the theorem do, but rather returns to more basic mathematics, like the original proofs of the theorem. This paper seeks to present the necessary mathematical background to understand the proof for a reader with a solid undergraduate background in abstract algebra. Its goal is to make what is usually an advanced topic in the study of algebraic number …

Treasure/Numbering The Hours, Kathy (Wagner) Muhs

St. Norbert College Magazine 2013-2018

Kathy (Wagner) Huhs '73 (Mathematics) speaks to a clock in her office made up of mathematical symbols. It reminds her of the beauty found in math, and the certainty and comfort of alway arriving at a "right answer."