Digital Commons Network^™

Rethinking The Mathematics Worksheet In Higher Education: Embracing The Application Of Spaced And Interleaved Practice, Deirdre Casey, Clodagh Carroll, Julie Crowley

Irish Journal of Academic Practice

Existing research in cognitive and educational psychology warns against overlearning and promotes spaced and interleaved practice. However, the practice of blocked overlearning is still the standard design of student practice in mathematics in higher education. This is despite the fact that transitioning to spaced interleaved worksheets would require only the resources already in place for traditionally designed blocked worksheets. Consequently, changing to spaced interleaved worksheets provides a straightforward, time-effective way in which higher education mathematics educators can implement evidence-based practice. This paper is a literature review with the intention of making explicit the educational benefits of a worksheet redesign in …

Optimal Delivery Of Remedial Mathematics Programs In U.S. Higher Education, Lisa Renee Loden

Electronic Theses and Dissertations Archive

Remedial mathematics has been considered the roadblock to obtaining a college degree by students and educators for years. The purpose of this research is to determine the optimal time and delivery method of the three presented (fully module, module with a traditional lecture component, and fully on-line) for teaching remedial mathematics. This is accomplished by comparing pass rates. First, pass rates are compared to determine if there is a statistically significant difference between pass rates in the two models for teaching remedial mathematics (pre-requisite and co-requisite). Next, pass rates are compared to determine if there is a statistically significant difference …

The Importance Of Automaticity Development In Mathematics, Austin T. Baker, Josh Cuevas

Georgia Educational Researcher

This study examined whether students were reaching automaticity with single digit multiplication facts. A fourteen question interview was used to collect data. The first three questions asked the student basic information about themselves and their current math teacher. The next seven questions were math facts. The math facts chosen for the interview were a range of difficulty, starting with a simple problem like 1 x 9 and increasing in difficulty to 6 x 9. The last four questions were open-ended with the intent of gaining insight into whether the students were using strategies to complete the problems or if they …

Assessing Reading And Mathematics Achievement Of Students With Disabilities In A Suburban Middle School, Terri Melissa Toomer

Theses and Dissertations

Co-teaching classrooms consist of general and special education teachers working together to benefit students with disabilities (SWDs). Many parents and teachers believe the content knowledge provided by general educators in the regular education setting, combined with the instructional service delivery model (SDM) expertise of special educators, will result in the greatest academic growth for SWDs. However, it is not known if SWDs served in one SDM progress at a faster rate than SWDs served in another SWD. Therefore, the focus of this study was to compare the reading and mathematics achievement of male and female middle school SDWs in two …

The Effectiveness Of The Co-Requisite Model In Preparing College Students For Math Courses, Shauna Mullins

Murray State Theses and Dissertations

Some form of academic support for underprepared students at the post-secondary level has been around since the 17^th century. This academic support has had several names such as tutoring, remediation and developmental education. With the growing need for academic support at the post-secondary level, universities are developing various ways to provide support to their students.

The focus of this study was the Co-requisite Model, particularly within Murray State University’s mathematics courses. Following IRB approval, archival data from undergraduate students were collected over three semesters in College Algebra and one semester in Mathematical Concepts courses. The pass rates of students …

The Effects Of Integrating Lego Robotics Into A Mathematics Curriculum To Promote The Development Of Proportional Reasoning, Shelli L. Casler-Failing

Proceedings of the Interdisciplinary STEM Teaching & Learning Conference (Archived)

A mixed methods, action research case study was conducted to investigate the effects of incorporating LEGO robotics into a seventh-grade mathematics curriculum focused on the development of proportional reasoning through the lens of Social Constructivist Theory. This study applied students’ prior knowledge of the distance, rate, and time formula as they used LEGO EV3 robots to calculate the rate of a robot. The information gained was applied to different iterations, and structures, of the formula to support the development of proportional reasoning skills. The purposefully designed lessons were integral to the development of the students’ understanding of the proportionality existing …

Descriptions Of Differentiated Instruction In Mathematics In A Title 1 School District, Sheril Bulley-Simpson

Walden Dissertations and Doctoral Studies

In an urban Title 1 school district, the average number of Grade 3-5 students who scored proficient or advanced on the state standardized assessment was 37.3% below Grade 3-5 students countywide and 19.4% below Grade 3-5 students statewide. Low mathematics scores may indicate a gap in practice that affects student achievement. The purpose of this descriptive case study was to examine teachers' descriptions of instructional strategies implemented to mediate instruction for students who struggle in mathematics. This study was based on the conceptual framework of Tomlinson's differentiated instruction (DI), a means of accommodating the varied ways that students learn. The …

Perceptions Of Faculty Using Mymathlab In Traditional, In-Seat Math Classes, Kathleen Gromilovitz

Walden Dissertations and Doctoral Studies

MyMathLab, an online interactive and educational system by Pearson Publisher, was implemented in 2 lower-level, traditional in-seat algebra courses to provide supplemental, instructional support to students in the fall of 2015 at the college under study. After the first year of use, no significant change in student success was reported, although more students passed intermediate algebra without first taking elementary algebra. The problem addressed in this study was that student results suggested there might be benefits to using MyMathLab that should be investigated. Knowles' theory of andragogy was used in this qualitative case study to gather perceptions of 7 2016-2017 …

A Qualitative Case Study Of Mathematics Teachers' Formative Assessment Feedback, Ryan Rathje

Walden Dissertations and Doctoral Studies

Formative assessment is supported by research as a process to enhance student learning. A vital aspect in the process is the role of feedback which, based on its use, can support or hinder student learning. The problem addressed in this study was based on the concern of a high school administrator that teachers in the school were not using formative feedback in a manner that supported student learning. The purpose of this instrumental qualitative case study was to explore and understand the assessment and feedback practices of mathematics teachers in a private high school setting. The conceptual framework for this …

Teacher Perceptions Of Professional Learning Communities' Impact On Math Critical Thinking Pedagogy, Elizabeth Ann Daly

Walden Dissertations and Doctoral Studies

U.S. educational leaders struggle with declining mathematics achievement among students as compared to other countries. The problem for this study was low standardized mathematics scores in one district in a major city in the Southwestern United States. The purpose of this sequential explanatory mixed method project study was to analyze the effectiveness of professional learning communities (PLCs) on the mathematics critical thinking pedagogy among teachers in 2 elementary schools. The conceptual framework focused on work by Olivier, Hipp, Huffman, and Hord on the efficacy of PLCs for improving teacher pedagogy. Research questions addressed in this study were designed to explore …

Elementary Teachers' Affective Relationship With Mathematics And Its Influence On Mathematics Instruction, Kelly Kreitzer Sutton

Walden Dissertations and Doctoral Studies

In a South Carolina school district, approximately 45% of 3rd-5th grade students performed poorly on the state mathematics test. K-5 teachers attended district training to improve mathematics instruction and content mastery, but the training omitted teachers' affective domain in teaching. Teachers' affective relationships with mathematics (ARM) affects content delivery, instructional decisions, and teachers' confidence levels and motivation. The purpose of this sequential mixed methods study was to investigate whether teachers' years of experience, grade levels taught, or past mathematics experiences influenced K-5 teachers' ARM, as measured by the ARM survey, and to explore teachers' perceptions of their ARM in instruction. …

Assessment For Feedback And Achievement Growth For Middle School Math Students, Katie Jo Pemberton

Walden Dissertations and Doctoral Studies

Inconsistent math assessment practices do not accurately represent and communicate student mathematics achievement. Because of inconsistencies in assessment practices, local middle school mathematics teachers in an urban school district in the northwestern United States piloted the use of multiple formative assessments. The purpose of this study was to compare mathematics achievement, growth, and course percentage grades for students who have multiple formative assessment attempts compared to students who are not provided multiple assessment attempts. Theoretical foundations originated from Black and Wiliam, supporting the use of formative assessment for a positive impact on student learning. A quantitative, ex post facto quasi-experimental …

What 'S Wrong With The Asian And African Students' Mathematics Learning Achievement? The Multilevel Pisa 2015 Data Analysis For Indonesia, Japan, And Algeria, Kartianom Kartianom, Oscar Ndayizeye

Jurnal Riset Pendidikan Matematika

This research aims at knowing the factors, involving both students and school levels, related to the math learning achievement for students in Indonesia, Japan, and Algeria by using PISA 2015 data. The sample in this study consists of students from three countries that took part in PISA 2015. The three countries chosen are Indonesia, Japan, and Algeria, each respectively having as participants 5.800, 6.411, and 4.460. the findings showed that the sense of belonging of students towards mathematics, the socio-economic status of their families, and the average of school's social-economic status can predict significantly the students' math learning achievement for …

A Construct Of The Instrument For Measuring Junior High School Mathematics Teacher's Self-Efficacy, Rachmadi Widdiharto, Badrun Kartowagiran, Sugiman Sugiman

REID (Research and Evaluation in Education)

The aim of this study was to develop a construct of the instrument for junior high school mathematics teacher self-efficacy and its mapping in the Special Region of Yogyakarta. The population was 816 junior high mathematics teacher and a sample of 274 teachers was selected through proportionate random sampling technique. The data were analyzed using Confirmatory Factor Analysis (CFA), using software Lisrel 8.80 through the first order and the second order stages. The result of data analysis toward four dimensions obtained: 11 fit items for dimension of personal efficacy (PE), 12 fit items for dimension of general teaching efficacy (GTE), …

The Steam Inherent In Stem: A Mathematical Example, Aaron S. Zimmerman

The Transdisciplinary STEAM+ Journal

STEAM education is intended to integrate a creative and aesthetic dimension into STEM education. By drawing on John Dewey’s philosophy of aesthetic experience and by exploring a simple mathematical problem (Is the graph of a given function increasing at a given point?), I argue that STEM education already has an aesthetic dimension inherent within it. Furthermore, I argue that by recognizing this dimension of STEM curricula, STEM teachers will more easily be able to facilitate aesthetic experiences for their students.

Discovering And Demonstrating Patterns, Maria Klawe

The Transdisciplinary STEAM+ Journal

Harvey Mudd College's President Maria Klawe shares her personal journey in combining a love of mathematics and art.

Gödel’S Incompleteness Theorem, Emma Buntrock

Essential Studies UNDergraduate Showcase

In 1931 Gödel released his Incompleteness Theorem. His theorem was the opposite of what other mathematicians at the time wanted, but it was very influential to realize there is no perfectly complete formal systems. The incompleteness theorem is based of the idea that in a consistent system there are pieces that can not be proved or disproved, causing for incompleteness. The second part of that idea is that such a system can not prove that itself is consistent, which also makes it incomplete. I will verify theses proofs using a series of logic problems that show how a system is …

The Most Important Statistics In Football, Jacob Holmen

Essential Studies UNDergraduate Showcase

This research is based on the Five Factors that were devised by Bill Connelly of SBNation. The Five Factors of football include Explosiveness, Efficiency, Field Position, Finishing Drives, and Turnovers. Each factor is composed of associated statistics that when put together make up the most important statistics in football. This research includes the analysis of all 857 FBS (the highest level of NCAA Division I football) games from the 2016 season. Data was analyzed through the use of an Excel spreadsheet. Five different statistics were looked at, each associated with one of the Five Factors. The statistics include Yards per …

Assessing Teacher Attentiveness To Student Mathematical Thinking: Validity Claims And Evidence, Michele B. Carney, Laurie Cavey, Gwyneth Hughes

Curriculum, Instruction, and Foundational Studies Faculty Publications and Presentations

This article illustrates an argument-based approach to presenting validity evidence for assessment items intended to measure a complex construct. Our focus is developing a measure of teachers’ ability to analyze and respond to students’ mathematical thinking for the purpose of program evaluation. Our validity argument consists of claims addressing connections between our item-development process and the theoretical model for the construct we are trying to measure: attentiveness. Evidence derived from theoretical arguments in conjunction with our multiphased item-development process is used to support the claims, including psychometric evidence of Rasch model fit and category ordering. Taken collectively, the evidence provides …

Secondary School Mathematics Teachers’ Utilization Of Professional Development Programs In Kenya, Josephine Kerubo Nthiwa

Master of Education

The role of professional development is to provide teachers with knowledge and skills to improve both instructional strategies and learning outcomes in terms of examination results. Although secondary school mathematics teachers in Kenya have attended professional development (IN-SET) in SMASSE and other programs, the examination results in mathematics at the KCSE has not significantly improved. This study explored how teachers of mathematics in secondary schools utilise knowledge and skills gained in professional development programs (PD) in the teaching and learning process and the challenges that hinder effective implementation of the strategies gained. The study sought for evidence that PD gains …

Exploring Use Of Teaching Aids In The Teaching And Learning Of Mathematics In Secondary Schools In Uganda Maracha District, Badaru Florence

Master of Education

The research to explore the use of teaching aids in the teaching and learning of mathematics in a secondary school in Uganda maracha district. The study tried to find out how secondary school teachers are using teaching aids to teach mathematics. The researcher employed a qualitative research approach and used case study research design as research methodology. The researcher used interview and focus group discussion techniques to collect data on the mentioned topic in `Yi`ba secondary school in Maracha district. From this sampled school, the researcher recruited six participants (mathematics teachers) selected purposively from the population of teachers in the …

A Study To Explore Classroom Factors Influencing The Teaching And Learning Of Mathematics In Secondary Schools: A Case Of A Secondary School In Tanga Region Tanzania, Lola Selele Kamaghe

Master of Education

Mathematics has been a subject whereby much effort has been directed for a number of years for the aim of improving students‟ achievements. However the improvements seem to be catching up slowly. Efforts such as increasing the number of teachers and learning materials like books by the government have not succeeded to change the trend of performances. Although several studies have been conducted coming up with various recommendations still their implementation is a challenge. This study aims to find out what can be done in classrooms to improve achievement in mathematics. The study approach was qualitative because it aimed at …

Math Biology Seminar | Dynamics Of Two Unequal Clusters, Dec. 5, Ohio University College Of Arts & Sciences

All Forum Articles

No abstract provided.

The Effects Of Teaching Middle School Students Math Using The Gifted Supplementary Curriculum “Mawhiba” On Students’ Academic Achievement And Attitude Toward Math In Public Schools In Saudi Arabia, Ahmed M. Alreshidi

Theses and Dissertations

The purpose of this study was to investigate whether the use of a supplementary math curriculum, “Mawhiba,” that was designed for gifted students, would be appropriate for regular students in a mixed-abilities classroom. The researcher investigated the effects of implementing the Mawhiba enriched supplementary math curriculum on students’ achievements in mathematics and on students’ attitudes toward mathematics in Hail State, Saudi Arabia. The research design was an experimental randomized subject pretest, post-test, control group design. Two schools were chosen (a female middle school and a male middle school). The sample consisted of 121 students (60 males and 61 females). The …

Dordt Receives Noyce Grant For Stem Education, Kate Henreckson

The Voice

No abstract provided.

Alumni News | Mathematics Sociology Alum Is Engineering Academic Advisor In Colorado, Ohio University College Of Arts & Sciences

All Forum Articles

No abstract provided.

It Doesn’T Feel Like A Job To Learn: Hispanic Preservice Teachers’ Perceptions Of Dance-Themed Mathematics Education, William Robertson

Selected Works Temporary Series

A series of dance activities were introduced to preservice teachers (n = 76) to help them understand how mathematics concepts could be associated with dance performance and choreography processes. A total of 468 pieces of qualitative data were collected, including 147 online discussion entries with 248 follow-up 10 comments, and 73 individual reflection essays. The main themes for the various benefits that emerged across the preservice teachers’ reflections were: (1) improving students’ dispositions toward mathematics and creating an enjoyable learning environment for reducing mathematics anxiety; (2) allowing students to develop their creativity and allowing teachers to meet different students’ needs; …

It Doesn’T Feel Like A Job To Learn: Hispanic Preservice Teachers’ Perceptions Of Dance-Themed Mathematics Education, William Robertson

Departmental Papers (TE)

A series of dance activities were introduced to preservice teachers (n  = 76) to help them understand how mathematics concepts could be associated with dance performance and choreography processes. A total of 468 pieces of qualitative data were collected, including 147 online discussion entries with 248 follow-up 10 comments, and 73 individual reflection essays. The main themes for the various benefits that emerged across the preservice teachers’  reflections were: (1) improving students’  dispositions toward mathematics and creating an enjoyable learning environment for reducing mathematics anxiety; (2) allowing students to develop their creativity and allowing teachers to meet different students’  needs; …

Alphametics, Steven Kahan

Word Ways

A mathematical game.

Economics Seminar |Yaqin Feng, Nov. 17, Ohio University College Of Arts & Sciences

All Forum Articles

No abstract provided.