Education Commons^™

Relationships Between Prior Experiences, Current Teaching Contexts, And Novice Teachers' Use Of Concrete Representation For Mathematics Instruction, Elizabeth Lee Johnson

Theses and Dissertations

This case study documents the perceived influences on three novice elementary teachers’ use of concrete representations for teaching mathematics. In order to develop mathematical proficiency, students need access to a variety of representations (i.e. pictures, words, symbols, concrete materials, and real world contexts) to make sense of mathematical ideas. Three sources of data were collected: video-recorded lessons, interviews, and a focus group. Analyses indicated that although concrete representations were accessible to all three teachers, they were least used among the available representations. Verbal expression was most prominent, followed closely by abstract written symbols. Technology, which was not one of the …

A Comparison Of Fifth Grade Mathematics Curriculum Materials, Michael E. Starks Sr.

Dissertations

In the USA, the No Child Left Behind Act of 2001 resulted in requirements placed on school districts to show student achievement in mathematics, based on measured adequate yearly progress. This caused school districts to search for standards based programs that improve mathematics learning. A quantitative multi-year study was used to compare the state-assessed achievement levels of 1,695 fifth-grade Midwestern children in the state of Missouri, who learned mathematics from two different curriculum-delivery programs, EveryDay Mathematics and EnVision Mathematics. A 2 by 2 by 8 research design was used through the choice of two elementary schools using EveryDay Mathematics and …

Learning Metrics Partnership: A Capacity Support And Policy Strengthening Initiative To Develop And Use Common Learning Metrics For Mathematics And Reading, Unesco Institute For Statistics, Acer

Monitoring Learning

The Learning Metrics Partnership (LMP) is a joint initiative of the UNESCO Institute for Statistics and the ACER Centre for Global Education Monitoring (ACER-GEM) to develop a set of nationally and internationally comparable learning metrics in mathematics and reading, and then to facilitate and support their use for monitoring purposes, in partnership with interested countries. This document outlines the LMP’s three-phase program that aims to develop and validate common learning metrics for reading and mathematics, and to support countries to report results of their assessment activities against these learning metrics. The key features of the program are fourfold: it accommodates …

The Value Of Problem Posing In Developing Creatively Gifted Mathematicians, Eric L. Mann

Faculty Presentations

The task of problem posing is often overlooked as a means to develop creatively gifted mathematicians. Silver (1997) suggested that problem posing was an instructional tactic used worldwide to develop creativity in mathematicians. More specifically, Silver advocated that deliberate instructional tactics had to be employed to precipitate creative solutions. Problem posing is often correlated with the aesthetic nature of mathematics.

In this cutting-edge session, participants’ objective is to learn about the value of problem posing through a brief presentation and have an opportunity to generate their own mathematical problem solving tasks given a mathematical concept. The intent is to encourage …

An Exploration Of The Factors That Motivate Black And Latino Students To Engage In Stem (Science, Technology, Engineering And Mathematics), Adrienne Coleman

Adrienne Coleman

No abstract provided.

Is More Always Better: Comparing The Effects Of Single And Multiple Learning Channels On Academic Performance, Samantha Ann Spillman

USF Tampa Graduate Theses and Dissertations

Precision teaching (PT) is a measurement system used in multiple settings for all types of behavior, from driving to mathematics. The ultimate goal of PT is to develop fluent, free operant behaviors through analyzing response frequencies on a standard celeration chart. Research has found PT to be effective at improving both the speed and accuracy of academic skills. There is little research, however, in the effects of learning channels, a component of PT, as they relate to the acquisition of academic skills. The present study examined the relationship between single and multiple learning channels on the acquisition of mathematics skills …

Critical Thinking And High-Level Discourse: Teaching, Learning, And Professional Development In A 1:1 Environment, Valorie L. Zonnefeld, Ryan G. Zonnefeld

Faculty Work Comprehensive List

No abstract provided.

Rich Problem Solving Tasks, Valorie L. Zonnefeld

Faculty Work Comprehensive List

No abstract provided.

A Case Study Of How Ninth Grade Mathematics Students Construct Knowledge During A Productive Failure Model, Amy F. Westbrook Dr.

Georgia Educational Research Association Conference

The purpose of this qualitative study was to explain how ninth grade mathematics students at a rural high school in Georgia constructed knowledge through student talk when problem solving using Kapur’s (2012) productive failure design. An embedded case study design was used to understand how a group of students constructed knowledge through their use of talk, persistence during the task, and use of prior knowledge while working on a productive failure modeled task. Triangulation resulted from the collected data from multiple sources, which included videotaping, interviewing, and analyzing student artifacts. Utilization of the constructivist perspectives of Vygotsky (1934/1962), Piaget (1971), …

The Effects Of A Seventh Grade Mathematics Remediation Course On Student Achievement, Jason Nix

Doctoral Dissertations and Projects

Since the installment of the No Child Left Behind Act, schools have sought strategies to help students meet these academic requirements. Many middle schools have turned to math remediation classes as a way to improve students' achievement scores. The purpose of this quantitative causal-comparative study was to explore the relationship of the mathematics remediation class as an intervention strategy to help low performing seventh grade students' achievement on the Georgia Criterion-Referenced Competency Test. The sample consisted of N= 775 (391 male, 384 female) seventh grade students enrolled in one rural middle school. The result of the statistical test, ANCOVA, revealed …

Thinking It Through: Australian Students’ Skills In Creative Problem Solving, Lisa De Bortoli, Greg Macaskill

Lisa De Bortoli

In every PISA survey, students from every participating country are assessed in the core domains of mathematics, science and reading literacy. In addition to assessing these literacy domains, the OECD proposes additional assessments in other domains. In PISA 2003, a paper-based assessment of cross- disciplinary problem solving was first assessed, when it was included as a core domain. In PISA 2012, problem solving was once again assessed, this time as an optional computer-based assessment.

The focus of the PISA 2012 assessment of problem solving was: Are today’s 15-year-old students acquiring the problem-solving skills that will prepare them to meet the …

The Pds Model As A Vehicle For Simultaneous Renewal In Mathematics Education, Sherri L. Martinie, Chepina Rumsey, David S. Allen, Andrew Bennett, Deborah Abernathy, Brandys Zolnerowich, Melisa Hancock

Educational Considerations

For a quarter century, Kansas State University’s College of Education has supported a Professional Development School (PDS) model involving professional collaboration with selected public school systems across Kansas.

Thinking It Through: Australian Students’ Skills In Creative Problem Solving, Lisa De Bortoli, Greg Macaskill

OECD Programme for International Student Assessment (PISA) Australia

In every PISA survey, students from every participating country are assessed in the core domains of mathematics, science and reading literacy. In addition to assessing these literacy domains, the OECD proposes additional assessments in other domains. In PISA 2003, a paper-based assessment of cross- disciplinary problem solving was first assessed, when it was included as a core domain. In PISA 2012, problem solving was once again assessed, this time as an optional computer-based assessment.

The focus of the PISA 2012 assessment of problem solving was: Are today’s 15-year-old students acquiring the problem-solving skills that will prepare them to meet the …

Maths + Confidence = Higher Scores For Boys, Sue Thomson, Lisa De Bortoli

Lisa De Bortoli

Teenage boys outperform Australian girls in mathematics by the equivalent of about one-third of a school year, according to the latest PISA survey, as Sue Thomson and Lisa De Bortoli explain.

Student Application Of The Fundamental Theorem Of Calculus With Graphical Representations In Mathematics And Physics, Rabindra R. Bajracharya

Electronic Theses and Dissertations

One mathematical concept frequently applied in physics is the Fundamental Theorem of Calculus (FTC). Mathematics education research on student understanding of the FTC indicates student difficulties with the FTC. Similarly, a few studies in physics education have implicitly indicated student difficulties with various facets of the FTC, such as with the definite integral and the area under the curve representation, in physics contexts. There has been no research on how students apply the FTC in graphically-based physics questions.

This study investigated student understanding of the FTC and its application to graphically-based problems. Our interest spans several aspects of the FTC: …

Examination Of High School Students' Understanding Of Geometry, Brantley Grant Pierce

Master's Theses

Not every student learns geometry instruction the same. Inside today’s classroom, one will find a diverse collection of students with different learning styles, background knowledge, and cognitive abilities. Students with high cognitive skills may sit next to those who struggle to maintain the material of a single subject. It is the job of an educator to accept the students as they are and guide them through a successful academic journey. This process is called Differentiated Instruction. Gregory and Chapman, authors of Differentiated Instructional Strategies: One Size Doesn’t Fit All, state that the term differentiation is a philosophy that allows instructors …

An Authentic Mathematics Problem Competition And Its Effect On The Performance Of Advanced Sixth Grade Learners, Eric Bergerson

Masters of Arts in Education Action Research Papers

The purpose of this study was to determine what effect an authentic mathematics problem competition would have on student performance by advanced sixth grade learners. The study was conducted in a public elementary school, in a sixth grade math classroom with twenty five advanced math students. The data sources included a student survey, weekly competition problems, chapter tests, and field notes. The results showed a definite relationship between success in the competition and improved performance in the math class. For students who did well in the competition their chapter test scores improved during the five weeks of the competition. Also, …

Impact Of Mathematics Computer-Assisted Instruction On English Language Learner Achievement, Christie Jacquelyn Jay

Graduate Theses and Dissertations

This quasi-experimental study examined the effect of supplemental mathematics computer-assisted instructional programs on the achievement of students in grades three and four over a two year period. This study evaluates the computer-assisted instruction (CAI) supplemental interventions through the lens of the sheltered instruction approach to teaching English Language Learner (ELL) students. The students who took part in the intervention attended nine elementary schools in one Arkansas district in the 2011-2012 and 2012-2013 school years. Data from Measures of Academic Progress (MAP) assessments were analyzed using a factorial ANOVA with pretest and two posttests over the course of two school years. …

Reducing Mathematics Anxiety, Catherine Pearn

Teacher articles

Catherine Pearn discusses how to approach maths anxiety in the classroom. The symptoms of mathematics anxiety vary from expressing a dislike of mathematics to an adult who had to exit a lecture theatre in a hurry when numbers are displayed on a screen.

Using Schematic-Based And Cognitive Strategy Instruction To Improve Math Word Problem Solving For Students With Math Difficulties, Lisa L. Morin

Communication Disorders & Special Education Theses & Dissertations

For students with math difficulties (MD), math word problem solving is especially challenging. The purpose of this study was to examine a math word problem solving strategy, bar model drawing, to support students with MD. The study extended previous research that suggested that schematic-based instruction (SBI) training delivered within an explicit instruction framework can be effective in teaching various math skills related to word problem solving. As a more generic schema approach, bar model drawing may serve as an effective form of SBI that can be developed across word problems. Moreover, the bar model approach has the potential to enhance …

A New Model Of Creativity In Mathematical Problem Solving., Scott Chamberlin, Eric Mann

Eric L Mann

Myriad definitions of creativity in mathematics have been promulgated (Mann, 2005). The construct of creativity being comprised of fluency, flexibility, originality, and elaboration (Haylock, 1997; Imai, 2000; Kim, Cho, & Ahn, 2003) is generally agreed upon in the field of mathematics education. The purpose of this paper is to propose an additional component to the construct of creativity in mathematics. The fifth component of creativity is iconoclasm. Iconoclasm entails the penchant of mathematically creative individuals to dissent from commonly accepted principles and solutions. Iconoclasts are known to be nonconformist and may thus be open to uncommon or non-traditional solution paths.

Beliefs Of Efficacy And Elementary Teachers’ Computational Skills, Vanessa Hinton, Margaret Flores, Kate Simmons

Georgia Educational Researcher

Early mathematics content that is taught in elementary school lays the foundation for students’ advanced mathematics performance. Thus, researchers show it is important that pre-service elementary teachers build a strong background in numbers and operations, as well as efficacy beliefs in mathematics instruction. This study expands the literature in the investigation of pre-service teachers’ efficacy beliefs and mathematical knowledge by making comparisons of pre-service elementary teachers’ views of efficacy to their overall ability in computation skills. Results show that elementary pre-service teachers who demonstrated lower scores in efficacy beliefs also had significantly lower computation scores. Implications for teacher preparation are …

Enhancing Self-Monitoring And Self-Reflection Through A Self-Regulatory Skills Intervention Embedded In A Middle School Mathematics Curriculum, Gregory Digiacomo

Dissertations, Theses, and Capstone Projects

The purpose of this study was to investigate the effects of a self-regulatory strategy intervention designed to improve participants' calibration accuracy, self-regulatory skills, and math achievement. Monitoring and self-reflection processes were the main focus of this intervention as they are key processes in many well-validated models of self-regulated learning and have been found to impact academic achievement and overall self-regulatory skill (Bol et al., 2010; Dunlosky & Rawson, 2011; Hacker et al., 2008; Nietfeld et al., 2005). The participants were 30 sixth and seventh grade students who were learning about probability as part of their normal math curriculum during the …

Described Proficiency Scales And Learning Metrics, Ross Turner

Assessment GEMS

We see the process of educational measurement as one of defining dimensions of educational progression and locating learners on those dimensions. Such dimensions are variously referred to as proficiency scales or learning metrics. When we measure something using a scale we can express how much of a given attribute is possessed by that something. We use a scale of centimetres or inches to describe the length of an object. We use a scale of hours and minutes to describe an amount of time. This is also the case for educational measurement: when we measure proficiency in a subject area we …

Technology Adoption In Secondary Mathematics Teaching In Kenya: An Explanatory Mixed Methods Study, Leonard Mwathi Kamau

Dissertations - ALL

Abstract

This study examined the factors related to technology adoption by secondary mathematics teachers in Nyandarua and Nairobi counties in the Republic of Kenya. Using a sequential explanatory mixed methods approach, I collected qualitative data from interviews and classroom observations of six teachers to better understand statistical results from the quantitative survey of 135 teachers, and drew on Rogers' (2003) diffusion of innovations theory. In the initial quantitative phase, using multiple regression analysis, I identified six explanatory variables related to technology adoption that resulted in R square of 61.2% and adjusted R square of 59.3%. These six variables and the …

A Teacher's Guide To Pisa Mathematical Literacy, Sue Thomson, Kylie Hillman, Lisa De Bortoli

Lisa De Bortoli

This report focuses on mathematical literacy and is one of a series of three reports on Australian students' performance in PISA. The report provides an overview of the PISA mathematics framework and Australia's results in the PISA 2003 international assessment. Also included are mathematics items released for public viewing after the PISA 2003 assessment and examples of responses, marking guides and comparisons of results with other countries. The context behind achievement, e.g. attitudes, engagement and learning strategies, is also presented.

Teachers' Beliefs And Practices Regarding Homework: An Examination Of The Cognitive Domain Embedded In Third Grade Mathematics Homework, Pandora Dell Bedford

Theses and Dissertations

The purpose of this phenomenological study was to gain a better understanding of third grade math teachers''beliefs and practices regarding homework, to explain how teachers''beliefs and practices regarding homework aligned to the framework of the Revised Bloom's'Taxonomy Cognitive Domain, and to determine the administrative influences on homework practices. The data were collected during October and November 2013. Six third grade math teachers (primary unit of analysis) and four principals (secondary unit of analysis) were interviewed from Dell School District. Each participant (teacher and principal) was interviewed for approximately one hour. A second meeting was set at a later time with …

Game Time: Choosing Apps And Games That Align To The Common Core, Ryan G. Zonnefeld, Valorie L. Zonnefeld

Faculty Work Comprehensive List

No abstract provided.

Implementing The Common Core’S Promise Of Bringing Statistical Curricula Into Line With Recommendations Of Nctm, Maa, & Gaise, Beverly Wood, Carl Clark

Publications

We plan to make a case for the necessity of GAISE-aligned college courses in order to prepare future teachers to teach in Common Core K-12 classrooms. Beginning with an overview of the parallel evolutions of Cobb/MAA suggestions - GAISE recommendations for teaching and NCTM process standards - Common Core mathematical practices, we will emphasize that we should be modeling what researchers continually conclude are best practices for teaching/learning across the K-16 continuum. We will provide some examples to illustrate classroom tasks that satisfy both GAISE and Common Core and hope to generate some discussion of other activities already used by …

The Impact Of Computer-Adaptive Benchmark Data And Assessment Literacy On Student Achievement And Motivation In Mathematics, Sheryl J. Rushton

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Over the past several decades there has been an emphasis in educational research on student assessment and achievement in mathematics. Formative assessments are designed to inform the instructional decision making process and require assessment literacy to interpret and use data provided by these assessments. Many teachers and students were lacking assessment literacy; therefore, they were unable to adjust their instruction and study habits to increase student performance on summative assessments.

This study investigated the impact Scholastic Math Inventory (SMI) benchmarks and assessment literacy training had on summative assessments and student motivation in mathematics. The researcher analyzed unit posttest scores and …