Education Commons^™

Applying Expansive Framing To An Integrated Mathematics-Computer Science Unit, Kimberly Evagelatos Beck, Jessica F. Shumway

Publications

In this research report for the National Council of Teachers of Mathematics 2022 Research Conference, we discuss the theory of Expansive Framing and its application to an interdisciplinary mathematics-computer science curricular unit.

Identifying The Research And Trends In Stem Education In Pakistan: A Systematic Literature Review, Sarfraz Aslam, Atif Saleem, Teresa J. Kennedy, Tribhuwan Kumar, Khalida Parveen, Huma Akram, Baohui Zhang

Education Faculty Publications and Presentations

Although STEM is an essential feature of 21st-century education and learning, there is a lack of awareness about it in Pakistan, especially at the K-12 and tertiary levels. Recently many initiatives have been launched across Pakistan to create more interest in STEM education. In order to assist in raising the level of STEM awareness in Pakistan, this study sought to examine the current state of research and identify recent contributions and gaps in the literature. A systematic literature review was conducted using 22 research papers from five renowned databases. Results produced limited research in this area, with the majority being …

The Effects Of Computer-Assisted Instruction On Student Learning Of Fractions In Middle School Mathematics, Rebecca Love Palculict

Doctoral Dissertations and Projects

In today’s increasingly technologically-driven classroom, exploring whether computer-assisted instruction ensures students gain critical mathematic skills is an important area of study. The purpose of this study was to explore the effect of computer-assisted instruction in learning manipulation of fractions. This study used archival data collected in August 2021 (pre-test) and January 2022 (post-test). Sixty-nine fifth-grade students in a middle school in rural Mississippi were participants in the study. This quantitative quasi-experimental pre-test/post-test control group design analyzed data from the i-Ready diagnostic using an Analysis of Covariance. Results indicated a significant difference between the post-test scores of students who received interventions …

Implementation Of A Tier Ii Math Intervention Program, Taylor Torres

Master's Theses & Capstone Projects

The impact of COVID-19 has been detrimental to student success. School closings reduced learning for all students but especially for primary students who missed critical foundational skills. Tier II math interventions within the MTSS framework show evidence of growth for students of all ages and needs. This research-based approach is a logical response to combatting the damage caused by the pandemic. Several successful research studies on mathematics intervention will provide promise of replication in other schools. This school improvement plan will outline actions toward implementing Tier II math interventions in a rural Iowa elementary school.

Teachers' Experiences In Implementing Technology-Rich Curriculum For Student Achievement: A Phenomenological Study, Dorrothe Jean

Doctoral Dissertations and Projects

The purpose of this phenomenological study is to describe how premillennial teachers at East Orange Public School (EOPS, a pseudonym) respond to technology-rich curriculum. Twelve elementary school premillennial teachers will participate in the study focused on one central research question and three sub-questions: (a) What is the lived experience of elementary teachers implementing technology-rich mathematics curriculum? (b)How do elementary school teachers perceive their preparedness for teaching in a classroom where technology-rich math curriculum has been implemented? (c)How do elementary school teachers describe their transitions from a premillennial curriculum to a millennial curriculum where it has been implemented? (d) How do …

Using Video Recordings To Support Meaningful Reflection Of Mathematical Teaching Practices, David Scalzo

Honors Theses

The practice of teaching mathematics is a skill that can be continually built upon. In order to maximize the effectiveness of one’s math lessons, it is essential that they become a reflective teacher. This project explains the importance of reflecting on mathematical teaching practices, then outlines the steps I have taken to start becoming a reflective teacher. Video recordings working with math are included as part of the project, which are used as the material I reflect about.

Mathematical Analysis Of An Sir Disease Model With Non-Constant Transmission Rate, Emma Bollinger, Tayler Valdez, Swarup Ghosh, Sunil Giri

Student Research

• Epidemiology: A branch of medicine that studies causes, transmission, and control methods of diseases at the population level.
• Mathematical epidemiology deals with creating a model for a disease through the study of incidence and distribution of the disease throughout a population.
• Here, we have examined the behavior of a measles-like disease[2] that is characterized by a non-constant transmission rate.

Effects Of Actively Involving Students With Ieps In The Progress Monitoring Process, Kelly Adams

Master's Theses & Capstone Projects

Special education teachers are trying many ways to help students with IEPs achieve their goals. This action research study looks at one way educators might do that with the involvement of students with IEPs in the progress monitoring process, specifically students with math goals. Instead of having the progress monitoring process as something done to them, students with disabilities were encouraged to take an active role by goal setting, getting feedback, reflecting, and graphing their scores. The five fifth-grade students that this study followed showed signs of growth over the six weeks of this intervention. The findings of this action …

Exploration Of Piccirillo's Trick On Low Crossing Number Knots, Gabriel Adams

Honors Theses

Piccirillo recently discovered a process that can be applied to an unknotting number one knot to convert it into a different knot called a Piccirillo dual. Piccirillo duals have been shown to have the same n-trace and the same sliceness. However, exploration and knowledge of this process is limited. We were able to generate the Piccirillo duals for several low-crossing number knots. We offer the foundation for and explain how to follow the Piccirillo process and generate Piccirillo duals. This talk assumes little knowledge of knot theory and concisely gives newcomers a clear introduction to get started working with Piccirillo …

Mathematics From Scratch: Learning With Coding, Kimberly Beck, Jessica F. Shumway, Jody Clarke-Midura

Publications

Implementing successful cross-curricular lessons is challenging but possible. Participants in this session will learn about a partnership between Utah State University, Cache County School District, and Stanford University that has designed and implemented successful integrated mathematics-computer science lessons. Attendees will hear from researchers and in-service teachers on their experience with designing and carrying out the curriculum and will have an opportunity to view and interact with the computer programs that students used.

Evaluation Of The Availability And Utilization Status Of Texts In Core Subjects In Primary Schools’ Libraries, Valentine Joseph Owan, Daniel Clement Agurokpon, Abahcham V. Owan

Library Philosophy and Practice (e-journal)

The study evaluated primary texts' availability and utilisation status in core subjects (English Language, Mathematics, Social Studies and Basic Science) in primary schools’ libraries in Obubra Local Government Area of Cross River State. The researchers formulated six null hypotheses to guide the study. The study adopted the descriptive survey research design. The target population of this study comprised a total of 30,036 teachers and pupils, distributed across the 73 public primary schools. A proportionate stratified sampling technique was used to select 30% and 5% of the available teachers and pupils in each school, resulting in a sample of 270 respondents. …

A Systematic Review Of Research Syntheses For Students With Mathematics Learning Disabilities And Difficulties, Gena Nelson, Angela Crawford, Jessica Hunt

Early and Special Education Faculty Publications and Presentations

The purpose of this document is to provide readers with the coding protocol that authors used to code 36 research syntheses (including meta-analyses, evidence-based reviews, and quantitative systematic reviews) focused on mathematics interventions for students with learning disabilities (LD), mathematics learning disabilities (MLD), and mathematics difficulties (MD). The purpose of the systematic review of mathematics intervention syntheses was to identify patterns and gaps in content areas, instructional strategies, effect sizes, and definitions of LD, MLD, and MD. We searched the literature for research syntheses published between 2000 and 2020 and used rigorous inclusion criteria in our literature review process. We …

Discussion Of Educational Philosphy For Elementary Math Educators, Daniel Kurzweil

Open Educational Resources

No abstract provided.

A Systematic Review Of Treatment Acceptability In Mathematics Instruction For Students With Learning Disabilities, Gena Nelson, Andrea Johnson, Mali Sawyer

Early and Special Education Faculty Publications and Presentations

Treatment acceptability is an aspect of social validity that refers to participants’ beliefs and perceptions about the intervention, such as the helpfulness of the strategies or the interventions’ efficacy to improve performance. The purpose of this study was to conduct a systematic review of treatment acceptability measures administered during mathematics interventions for students with learning disabilities (LD). We sought to identify the characteristics of the measures and the treatment acceptability outcomes. To be included in this review, studies had to (a) focus on testing the effectiveness of a mathematics intervention, (b) include preschool through 12th grade students who were diagnosed …

Developing A Mathematics Common Assessment System: Using Data To Drive Instruction, Twianie Roberts

Teaching and Learning Faculty Research

There is an ongoing demand for school and district based educators to connect curriculum, instruction and assessment practices to monitor and increase student achievement. This paper describes the development of a Common Assessment system that connects curriculum, instruction and assessment. It can be implemented from a school based (teacher) or district based perspective. This model addresses the role of curriculum guides, instructional pacing, assessment system selection, test types, professional development and issues related to data disaggregation and dissemination. This model has implications for curriculum development, professional development, instruction and policy articulation.

Math Department 2021-2022 Newsletter, Mathematics Department

Mathematics Newsletter

Welcome to our annual Mathematics Department Newsletter. As we are slowly coming out of the pandemic, we were able to resume many of our normal events.

Efficient Assessment Of Students’ Proportional Reasoning, Michele Carney, Katie Paulding, Joe Champion

Curriculum, Instruction, and Foundational Studies Faculty Publications and Presentations

Teachers need ways to efficiently assess students’ cognitive understanding. One promising approach involves easily adapted and administered item types that yield quantitative scores that can be interpreted in terms of whether or not students likely possess key understandings. This study illustrates an approach to analyzing response process validity evidence from item types for assessing two important aspects of proportional reasoning. Data include results from an interview protocol used with 33 middle school students to compare their responses to prototypical item types to their conceptions of composed unit and multiplicative comparison. The findings provide validity evidence in support of the score …

Assessing Teachers’ Pedagogical Practices And Students’ Learning Outcomes In Science And Mathematics Across Primary And Secondary School Level: A Nationwide Study (2018-21), Sadia Muzaffar Bhutta, Nusrat Fatima Rizvi

Institute for Educational Development, Karachi

No abstract provided.

Rural Stem Teachers: An Oasis In The Desert, Ryan G. Zonnefeld, Valorie L. Zonnefeld

Faculty Work Comprehensive List

Teacher preparation programs for STEM education should prepare teachers for all settings, including rural schools. Students across geographic locales show equal interest in STEM fields, but rural students often lack access to highly qualified STEM teachers. UNESCO (2014) notes that the disparity in education between rural and urban schools is a concern of many countries. In the United States, the National Center for Educational Statistics confirms that twenty percent of students are educated in rural schools and the STEM teachers in these schools are often the only STEM expert. These teachers become backbone teachers that set the foundation and direction …

Cache Code Math Mathematics Lesson Plans: Exponents And Repeats, Jody Clarke-Midura, Jessica Shumway, Kimberly Beck, Umar Shehzad, Mimi Recker

Instructional resources

This document entails four 5^th grade mathematics lesson plans. The lessons are intended to be implemented in conjunction with the computer lab activities found in “Integrated Lesson (CS and Math)”. The mathematics focus of these lessons is exponents as repeated multiplication, which is paired with the computer coding concepts of repeat loop blocks.

Making Upper-Level Math Accessible To A Younger Audience, Allyson Roller

WWU Honors College Senior Projects

Symmetry is all around us. It appears on fabrics and on the buildings that surround us. Believe it or not, there is actually quite a bit of math that goes into generating these patterns, which are known as the seven frieze patterns. In my work, I explain how each unique pattern is generated using different types of symmetries. I also created a PDF of a children’s book about frieze patterns to ensure that people of all ages have the opportunity to learn about seemingly complex patterns.

Determining The Difficulty And Discrimination Parameters Of A Mathematics Performance-Based Assessment, Abraham Gyamfi, Douglas G. Wren

Educational Leadership & Workforce Development Faculty Publications

Performance-based assessment (PBA) is different from traditional testing methods in that PBA presents real-life problems for students to solve by integrating critical thinking with their content knowledge and skills. Implementing PBA regularly in mathematics classes is associated with improved student achievement and motivation to learn; however, there are concerns about the general lack of psychometric data to support the use of performance assessments. To address such concerns, this study applied item response theory to estimate the difficulty and discrimination indices of items that comprised a newly developed mathematics PBA. Data were collected by administering the PBA to 750 senior high …

Mathematical Connections Established In The Teaching Of Functions, Vesife Hatisaru

Research outputs 2022 to 2026

This study explores the types of mathematical connections established in the classroom in the teaching of functions. An extended model for mathematical connections (different representations (DR), procedural (PC), if-then (I-T), part-whole connections (PWC), feature/property (F/P), analogies, and instruction-oriented connections (IOC)) is used as the analytical framework. The context for the study is classroom observations of two secondary mathematics teachers teaching functions to Grade 9 students. The strength of teachers’ mathematical knowledge for teaching (MKT) the concept of function is different: one has stronger MKT, while the other has weaker MKT. A total of 485 connections are identified in a sample …

Beating The Odds: High-Growth Schools Based On The Act Aspire Examinations, Serving Low-Income Communities, Charlene A. Reid, Sarah C. Mckenzie

Arkansas Education Reports

This section highlights high-growth schools across Arkansas based on the ACT Aspire examinations in Math and English Language Arts (ELA) for the 2020-2021 academic year. For these awards, we consider schools where at least 66% of the student body is eligible for free or reduced-price lunch (FRL).

High-poverty schools are ranked by school level (Elementary, Middle, or High) based on Overall Growth (Math and ELA combined), as well as for growth in each content area independently. High-poverty schools are also ranked within each region of the state. Tables include the region in which the school is located, the number of …

High-Growth High Schools In Arkansas Based On Performance On The Act Aspire Examinations, Charlene A. Reid, Sarah C. Mckenzie

Arkansas Education Reports

This section highlights high schools across the state whose students demonstrated high growth on the Arkansas ACT Aspire exams. The ACT Aspire was administered to students in grades 3 through 10 in April 2021 in Math and ELA courses which include English, Writing, and Reading.

Each table in this section presents the Top 20 schools for the noted subject area and school level. In addition, these tables include the region in which the schools are located, the grades served at the school, the weighted achievement score, and the content growth score in that particular subject.

The level of the schools, …

High-Growth Middle Schools In Arkansas Based On Performance On The Act Aspire Examinations, Charlene A. Reid, Sarah C. Mckenzie

Arkansas Education Reports

This section highlights middle schools across the state whose students demonstrated high growth on the Arkansas ACT Aspire exams. The ACT Aspire was administered to students in grades 3 through 10 in April 2021 in Math and ELA courses which include English, Writing, and Reading.

Each table in this section presents the Top 20 schools for the noted subject area and school level. In addition, these tables include the region in which the schools are located, the grades served at the school, the weighted achievement score, and the content growth score in that particular subject.

The level of the schools, …

High-Growth Elementary Schools In Arkansas Based On Performance On The Act Aspire Examinations, Charlene A. Reid, Sarah C. Mckenzie

Arkansas Education Reports

This section highlights elementary schools across the state whose students demonstrated high growth on the Arkansas ACT Aspire exams. The ACT Aspire was administered to students in grades 3 through 10 in April 2021 in Math and ELA courses which include English, Writing, and Reading.

Each table in this section presents the Top 20 schools for the noted subject area and school level. In addition, these tables include the region in which the schools are located, the grades served at the school, the weighted achievement score, and the content growth score in that particular subject.

The level of the schools, …

International School Elementary Educators' Transition To A Revised Mathematics Curriculum: A Case Study, Christine H. Saba

Doctoral Dissertations and Projects

The purpose of this single instrumental case study was to research how teachers at an organization of international schools transitioned to using a revised mathematics curriculum to understand how to replicate or improve the process for success in the implementation phase in the future. The guiding theories for this research were Schlossberg’s (1981) transition theory, as the aim of the study was to research teachers in a time of transition, and Kolb’s (1984) experiential learning theory, as teachers worked through the cycle of experiencing, reflecting, thinking, and acting. Data was collected through interviews, focus groups, and journaling. The site was …

The Effects Of Embedded Orientation On Online Developmental Mathematics Students' Performance In Community College: A Causal-Comparative Study, William Randal Swenson

Doctoral Dissertations and Projects

Students in developmental mathematics courses exhibit poor pass rates. This problem is exaggerated for traditionally aged online community college learners, who frequently demonstrate few self-regulatory skills. Self-regulated learners are intrinsically motivated, plan for success, monitor their progress, and reflect on their learning. These learners are significantly more likely to pass and eventually graduate. Self-regulatory skills can be taught through direct instruction and reflection over a protracted learning experience. This form of instruction was attempted using an embedded orientation in online developmental mathematics courses at a community college. Embedded orientations provide consistent training, opportunities for socialization, and increased instructor-to-learner interaction within …

Supporting Teaching And Learning Reform In College Mathematics: Finding Value In Communities Of Practice, Kelly Gomez Johnson, Paula M. Jakopovic, Christine Von Renesse

Teacher Education Faculty Publications

Improving college STEM (science, technology, engineering, mathematics) student learning outcomes is an ongoing area of focus in Institutions of Higher Education (IHE). This reform includes challenging, changing, and adapting both teaching practices and the learning environment. Communities of practice (CoPs) can support faculty in making these shifts; however, creating large-scale instructional changes in STEM education requires a more careful look at the existing systems and structures in place. In this paper, we investigate a network of regional CoPs composed mainly of mathematics faculty from IHE focused on teaching with inquiry methods. Understanding what faculty need and value to support their …