Education Commons^™

Reflection On Use Of The "Reacting To The Past" Pedagogy In A History Of Mathematics Course, Davida Fischman

Q2S Enhancing Pedagogy

This brief report provides a reflection on the use of the "Reacting to the Past" (RTTP) pedagogy in a History of Mathematics classroom. The conclusion is drawn that the RTTP pedagogy is very successful in engaging students in active learning, and appropriate games may be utilized to help students learn about the role of mathematics in historical developments as well as in society today.

Variance And Reliability In Special Educator Observation Rubrics, Angela R. Crawford, Evelyn S. Johnson, Laura A. Moylan, Yuzhu Zheng

Early and Special Education Faculty Publications and Presentations

This study describes the development and initial psychometric evaluation of the Recognizing Effective Special Education Teachers (RESET) observation instrument. The study uses generalizability theory to compare two versions of a rubric, one with general descriptors of performance levels and one with item-specific descriptors of performance levels, for evaluating special education teacher implementation of explicit instruction. Eight raters (four for each version of the rubric) viewed and scored videos of explicit instruction in intervention settings. The data from each rubric were analyzed with a four facet, crossed, mixed-model design to estimate the variance components and reliability indices. Results show lower unwanted …

The Role Of Number Writing In Early Math Readiness, Giselle Hernandez

FIU Electronic Theses and Dissertations

The purpose of this study was to understand how number writing in a class of low-income, pre-kindergarten children (N = 15) developed over the course of a school year, and to see what role that development played in their overall math readiness. This study used a mixed-methods approach. The target class was explicitly taught number writing as part of an early math intervention. Scores on a number writing inventory, and two math readiness assessments (Number Knowledge assessment, State of Florida VPK Assessment) were compared at the end of the year, both within the intervention group, and with a matched …

Effects Of Cross-Age Tutors With Ebd For Kindergarteners At Risk Of Mathematics Difficulties, Gavin W. Watts, Diane Pedrotty Bryant, Garrett J. Roberts

Special Education Faculty Publications

Challenges with numerical proficiency at an early age can lead to substantial gaps in learning and are associated with detrimental long-term outcomes. In addition, students with emotional–behavioral disorders (EBD) can have some of the most challenging behavioral and academic needs to address. The purpose of this study was to identify the effects and collateral outcomes of utilizing cross-age tutors (i.e., older students) with/at risk of EBD to deliver a number line board game intervention to kindergarten students at risk of mathematics disabilities. A multiple baseline design across participants was utilized to evaluate the following research questions: (a) What are the …

Student Perceptions Of Learning Introductory Mathematics In An Online Environment In Higher Education, Jamie Lynn Brooks

Doctoral Dissertations and Projects

The purpose of this transcendental phenomenological study was to describe the essence of student perception of learning introductory mathematics courses in an online environment at the college level. The central research question was, “What are the lived experiences of students who have completed introductory college mathematics courses in the online learning environment?” The phenomenon described was that of the beliefs and attitudes of the students who participated in introductory mathematics courses on the college level. The ideas explored were if students believe they learn effectively in this environment and how they believe they can best learn. Student beliefs and attitudes …

Let’S Talk: An Examination Of Parental Involvement As A Predictor Of Stem Achievement In Math For High School Girls, Nicol R. Howard, Keith E. Howard, Randy T. Busse, Christine Hunt

Education Faculty Articles and Research

This research was conducted to examine the influence of parental involvement, in the form of parent conversations, on mathematics achievement for high school girls. Data from the High School Longitudinal Study of 2009 (HSLS:09) public-use file provided a sample of 13,694 students, including 6,592 girls for our analyses. A scale for measuring parent conversations was developed and regression analyses were conducted to examine whether this scale variable predicted mathematics achievement. Results indicated that conversational parental involvement was a significant predictor of mathematics achievement for Black and White girls, but not Hispanic and Asian. Implications for research and policy initiatives are …

Elementary School Student Development Of Stem Attitudes And Perceived Learning In A Stem Integrated Robotics Curriculum, Yu-Hui Ching, Dazhi Yang, Sasha Wang, Youngkyun Baek, Steve Swanson, Bhaskar Chittoori

Educational Technology Faculty Publications and Presentations

Robotics has been advocated as an emerging approach to engaging K-12 students in learning science, technology, engineering, and mathematics (STEM). This study examined the impacts of a project-based STEM integrated robotics curriculum on elementary school students’ attitudes toward STEM and perceived learning in an afterschool setting. Three elementary school teachers and 18 fourth to sixth graders participated in an eight-week-long program. Quantitative and qualitative data were collected and analyzed, and showed students’ attitudes toward math improved significantly at the end of the robotics curriculum. Three specific areas of learning were identified, including STEM content learning and connection, engagement and perseverance, …

Stem Opportunities - High School 2019, Huey-Xian Kelly Wong, Madeleine Rauhauser, Annie Morgan Nelson

Honors Expanded Learning Clubs

This publication details the lesson plan for the “Opportunities in STEM” club for the summer of 2019. This club began out of a desire to educate high school students about the opportunities and careers available in the science, technology, engineering, and mathematics fields. Often, students feel that the prospect of entering a STEM field is daunting and out of their grasp. What it means to be a scientist is often unclear, and students never consider opportunities out of the fear of the unknown, particularly when science is associated with complexity and difficulty. This lesson plan integrates experiments with a wealth …

Predicting Third-Grade Mathematics Achievement: A Longitudinal Investigation Of The Role Of Early Numeracy Skills, Allyson J. Kiss, Gena Nelson, Theodore J. Christ

Early and Special Education Faculty Publications and Presentations

Despite the vast research on the early predictors of mathematics achievement, little research has investigated the predictors of various domains of mathematics (e.g., geometry, statistics). The purpose of the present study was to examine the predictive relationship between first-grade early numeracy and computation skills and third-grade mathematics achievement as measured by a state test. Further, we explored the relations between these measures for students who were Below Proficient and Proficient. Findings suggest that proficiency level matters when examining the relation between mathematics skills. Also, there are different patterns of significant predictors depending on the domain of later mathematics achievement and …

The Differences In Mathematics Self-Efficacy Scores Between Military Dependent Students And General Population Students, Jeffrey Thomas Harris

Doctoral Dissertations and Projects

The United States has now been engaged in war for fourteen years, the longest war in American history. A war like this has created an atmosphere of extended deployments for members of the military resulting in separation from their family. Deployments can affect many areas of family life, and the child’s academics is one such area. A student’s success often depends on his/her confidence, or “self-efficacy”, in academics. This can be affected by the inconsistencies of military life, such as constantly moving and transferring schools, which can shake that confidence causing him or her to struggle academically. The purpose of …

Perceived Teaching Style And Academic Growth In An International School Setting, Jamie Elizabeth Martin

Dissertations

The presence of international schools has grown significantly around the world to accommodate a growing need for academic instruction that differs from that provided in local schools and to meet the rapid demands of globalization. As demands for international schools increase, demands for student performance are also increasing.

This quantitative correlational study seeks to determine if correlations exist between teaching style and student academic growth in mathematics within an international school setting. The study also determines if a dominant teaching style exists and if correlations between teacher grade level and teaching style can be made among international teachers who teach …

The Effectiveness Of Student-Centered Technology Use During Early Elementary Small Group Math Instruction, Brenna Lind

Master's Theses & Capstone Projects

The purpose of this action research study was to determine whether students would show more growth when using paper and pencil activities or technology during small group instruction in mathematics, specifically on the skill of telling time. Data was collected from ten second-grade students over a five-week period. The two intervention groups involved in the study met for equal amounts of time and were given the same tests for data collection purposes. The test questions were randomized pictures of clocks that required students to tell time to the nearest five minutes. One intervention group practiced the skill of telling time …

The Effects Of Geogebra On Student Achievements, Critical Thinking/Problem-Solving Skills, And Engagement/Motivation In High School Mathematics, Zachary Schaver

Master's Theses & Capstone Projects

This research project explores the overall effects that GeoGebra has on students' learning in mathematics. More specifically, this research demonstrates the effects GeoGebra has on student achievement scores, students' critical thinking/problem-solving skills, and students' engagement/motivation. In this research, two groups of high school geometry students from two different years were used to determine students' achievements and understanding. Students in 2018 used traditional teaching practices while students in 2019 used GeoGebra as a means of learning mathematics. The scores were taken from teacher made assessments and reported as averages from both years. In addition, observations and a survey were used to …

Comparing Nebraskan And Finnish Education Policy And Its Impacts On Mathematics Teaching, Elizabeth Tyler

Honors Theses

For two decades, Finland has been in the education spotlight as they consistently receive high international exam scores while spending less money, less time teaching, and putting students through fewer hours of school. This study aims to investigate the related policy that may help explain these seemingly paradoxical findings in the education sector. More specifically, this study examines how related policy impacts math teachers in their day to day work. This research includes an extensive literature review that explores several facets of the education system in both Nebraska and Finland in order to better understand existing policies. This background is …

Evaluating Functions And Their Domain And Range - 8th/9th Grade Algebra, Melanie R. Webb

Understanding by Design: Complete Collection

The goal of this algebra unit is to solidify student understanding of functions and ensure they can express domain and range for discrete and continuous functions. Students will also be expected to evaluate functions. The unit includes lesson plans for 10 class days along with many supplemental materials including activities, pre-test, data tracker, and quiz. The function unit culminates with a performance assessment (rubric included) where students create their own function machine and complete an accompanying document to show the depth of their understanding.

An Examination Of The Role Of First-Year College-Level Mathematics In Stem Field Major Persistence At A Hispanic-Serving Institution, Jaimi Paschal, Amanda Taggart

Teacher Education and Leadership Faculty Publications

This study examined the influence of mathematics course-taking on Latina/o science, technology, engineering, and mathematics (STEM) major persistence utilizing data from first-year STEM majors at a Hispanic-Serving Institution (HSI). Findings indicated that students who passed a first-term college-level mathematics course had significantly greater odds of persisting in STEM majors than those who did not, demonstrating the importance of early mathematics support to increased STEM major persistence.

Principles Of Engineering, Edu 4480, Course Outline, Euisuk Sung

Open Educational Resources

This course is a laboratory-based capstone course providing resources about engineering and engineering design methodology to enable the student teacher to study the relationship among mathematics, science and engineering. Focus is on the integration of the content of these disciplines into the secondary school technology curriculum and to stimulate student interest in pursuing engineering and technology careers.

Developing An Explicit Instruction Special Education Teacher Observation Rubric, Evelyn S. Johnson, Yuzhu Zheng, Angela R. Crawford, Laura A. Moylan

Early and Special Education Faculty Publications and Presentations

In this study, we developed an Explicit Instruction special education teacher observation rubric that details the elements of explicit instruction, and tested its psychometric properties using many-faceted Rasch measurement (MFRM). Video observations of classroom instruction from 30 special education teachers across three states were collected. External raters (n = 15) were trained to observe and evaluate instruction using the rubric, and assigned scores of ‘implemented’, ‘partially implemented’ or ‘not implemented’ for each of the items. Analyses showed that the item, teacher, lesson and rater facets achieved high psychometric quality for the instrument. Implications for research and practice are discussed.

Corequisite Mathematics Remediation: Results Over Time And In Different Contexts, Alexandra W. Logue, Daniel Douglas, Mari Watanabe-Rose

Publications and Research

Traditional mathematics remediation is based on the theory that traditional mathematics remedial courses increase students’ subsequent academic performance. However, most students assigned to these courses do not pass them, and thus cannot graduate. An alternative approach, corequisite remediation, assigns students instead to college-level quantitative courses with additional academic support, often aligned to a student’s major. Here we report the longer-term results of a randomized controlled trial comparing corequisite remediation (with statistics) and traditional algebra remediation (297 students per group). The corequisite group not only demonstrated significantly higher quantitative course pass rates, but also success in many other disciplines, as well …

Understanding The Impact Of Peer-Led Workshops On Student Learning, Afolabi Ibitoye, Nadia Kennedy, Armando Cosme

Publications and Research

As students we often wonder why some subjects are easy to understand and requires not much effort in terms of re-reading the material, for us to grasp what it entails. One subject seems to remain elusive and uneasy for a vast majority of learners at all levels of education; that subject is Mathematics, it is one subject that most learners finds difficult even after doubling the amount of time spent on studying the material. My intention is to explore ways to make Mathematics easier for other students using feedback from students enrolled in NSF mathematics peer leading workshops, and use …

Content Validity Of A Mathematics Placement Test For A Gifted High School, Hannah R. Anderson

Publications & Research

The Content Validity of a mathematics placement test at a Science, Technology, Engineering, and Mathematics (STEM) gifted residential high school is examined. Data were collected from internal and external mathematics subject matter experts (SMEs) using a card- sorting task and were analyzed using Multidimensional Scaling (MDS) and Hierarchical Cluster Analysis (HCA). Results demonstrate some congruence between the two configurations, suggesting marginal evidence of Content Validity.

Interview Of Stephen Andrilli, Ph.D., Stephen Francis Andrilli Ph.D., Jane Highley

All Oral Histories

Stephen Francis Andrilli was born in August 1952 in Bryn Mawr, PA. He was born to Francis and Leatrice Andrilli. Dr. Andrilli is the oldest of four children; his three sisters are Carol (now Carol Strosser), Patricia (now Patricia Kempczynski), and Barbara (now Barbara Parkes). Aside from a few years of living in Gettysburg, Dr. Andrilli has lived in the Philadelphia area for most of his life. He attended St. Jerome School, where he finished 8th grade. He then attended LaSalle College High School, where he graduated in 1969 at age 16. He entered La Salle University (formerly La Salle …

The Impact Of Co-Teaching On Mathematics Achievement Of Middle School General Education Students, Jarrod Bingham

Doctoral Dissertations and Projects

To accommodate the presence of special education students in general education classrooms, many schools have implemented collaborative teaching or co-teaching, a model in which two or more teachers share responsibility for a group of students. While myriad research has demonstrated that this model benefits special education students, very little researchers have examined the effect of co-teaching upon the general education student, who often outnumber the special education students. The purpose of this quantitative causal-comparative study was to investigate co-teaching’s impact upon the mathematic achievement of general education students. The independent variable in this study was students’ placement into either a) …

Do Men Matter? In Statistics, Probably, Michael Kelly

WWU Honors College Senior Projects

In statistical genetics, there are several parameters of a dataset which a researcher might, but which are difficult to estimate in practice. In this paper, we will be focusing on allele frequencies, null alleles, inbreeding coefficients and, to a certain extent, beta values. A common technique for obtaining these values, developed by Amy Anderson and her co-workers, is to jointly estimate all of them using an EM-algorithm and the method of maximum likelihood. Despite this technique being effective in general, it is currently unable to deal with males at X-linked markers. The purpose of this project is to modify the …

District-University Collaborations To Support Reform-Based Mathematics Curriculum Implementation, Kelly Gomez Johnson, Amy L. Nebesniak, Theodore J. Rupnow

Teacher Education Faculty Publications

Curriculum change is inevitable in schooling. For content areas such as mathematics that are already under the national spotlight, transitioning to new curriculum materials while concurrently enacting instructional reform creates both a challenge and an opportunity. This paper discusses how partnerships between two state universities and respective neighboring school districts resulted in the creation and implementation of graduate courses for teachers targeted at curricular and instructional reform specific to each district. Common course components between both university-district partnerships were identified in the areas of mathematics research, practice, and leadership advocacy and found to be instrumental in supporting instructional reform and …

Stem On A Budget: A Basic Guide For Teaching Stem In Ops Afterschool Programs, Tyrome Williams

Criss Library Faculty Publications

This guide was written with the goal of providing a rough lesson plan, which could act as a supplemental guide for sustainable activities at sites in the Omaha area to better serve their students and children. The STEM lessons I chose in this book are engaging, hold education value, and are cost effective if used properly. This book contains valuable information to supplement STEM learning. Whether you’re a teacher, instructor, supervisor for children, or a substitute; you will always be the most valuable asset in your classroom. This is a free use document and should not be sold for any …

Proof By Contradiction: Teaching And Learning Considerations In The Secondary Mathematics Classroom, Gregory Hine

Education Papers and Journal Articles

This professional practice paper is underpinned philosophically by the indisputable centrality of proof to the discipline of mathematics. Proof offers students the opportunity to deepen their own understanding of mathematical ideas, to construct and defend logical arguments, and to think critically about the veracity of mathematical statements. Such opportunities afford students key skills required for further study, and arguably for a myriad of careers. Proof by contradiction is a particular mathematical technique taught in Australian senior secondary classrooms (ACMSM025, ACMSM063) which will be explored in this paper. In particular, several worked examples will be outlined alongside implications for best instructional …

What Gendered Constructs About Mathematics Do Parents Have As Their Children Begin School In Australia?, Rachelle Glynn

Education Conference Papers

This study investigated whether parents have gendered constructs related to mathematics. Parents and their kindergarten-aged children from three primary schools in Sydney were interviewed to see what their understandings of boys’ and girls’ interests and abilities in mathematics were. Parents completed the Who and Mathematics questionnaire and were interviewed to determine if there were any gendered understandings and exactly what they were. The data shows that parents believe that boys are more likely to have an aptitude and interest in mathematics. In contrast, girls are perceived as more anxious, harder workers and in addition, that they have to work harder …

Course Portfolio For Math 872: Topology Ii, Alex Zupan

UNL Faculty Course Portfolios

In this course portfolio, I explore tactics for engaging a group of beginning mathematics graduate students taking the second semester of the first-year sequence in topology. Course objectives include computing algebraic invariants of topological spaces, understanding the Galois correspondence between covering spaces and fundamental groups, and using a range of invariants to distinguish spaces. My main instructional tools include a series of three "Activities" tailored to each student, a project involving computing invariants with the program SnapPy and using homology of covering spaces to distinguish 3-dimensional knots, and individual student board work during class periods. The activities served as benchmarks …

Maths Anxious Pre-Service Teachers' Perspectives Of "Doing" Mathematics In A Whiteboard Room, Sarah Sanders, Wendy S. Nielsen, Carolyn Mcphail, Patricia A. Forrester

Faculty of Social Sciences - Papers (Archive)

Mathematics anxiety is common among pre-service primary teachers and many experience higher levels of maths anxiety than other university students. This study asks: What are maths anxious pre-service teachers' perspectives of "doing" mathematics in a whiteboard room? The Abbreviated Mathematics Anxiety Rating Scale (A-MARS) was used to identify high, medium and low levels of maths anxiety in a cohort of first-year pre-service teachers (n=196). Semi-structured interviews (n=6) explored perspectives that were analysed through Vygotsky's sociocultural dimensions of the intrapersonal and the interpersonal, as well as the physical environment of the whiteboard room. Results show that doing maths in a whiteboard …