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2018

Mathematics

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Full-Text Articles in Education

Scottish National Assessments: National Report For Academic Year 2017 To 2018, Australian Council For Educational Research (Acer) Dec 2018

Scottish National Assessments: National Report For Academic Year 2017 To 2018, Australian Council For Educational Research (Acer)

Assessment and Reporting

This report has been developed to provide a summary of outcomes at a national level on the newly established system of national standardised assessments, which has since been termed ‘Scottish National Standardised Assessments’ (SNSA) in the 2017 to 2018 academic year, the first year of the programme. A central aim of SNSA is also to provide information on the outcomes of Scottish children and young people in literacy and numeracy over time. The assessments have been available for use in publicly funded schools in Scotland since August 2017. They are administered to children and young people in Primary 1, Primary …


Stem: What’S Holding Females Back?, Sue Thomson Nov 2018

Stem: What’S Holding Females Back?, Sue Thomson

Teacher columnist - Sue Thomson

While the 20th century saw women stride ahead in their participation in education and the workforce, there are still gender differences apparent in some areas of education. In particular, females do not enrol in higher mathematics, science, or ICT, or move into STEM-based careers to the same extent as males. We rightly celebrate great achievements for women in science, such as the Nobel Prizes awarded in Physics to Donna Strickland and in Chemistry to Frances Arnold this year, but why are these achievements such a rarity?


Novice Elementary Teachers’ Experiences With Preparedness To Teach Mathematics: A Phenomenological Study, Ashleigh Rose Chaves Nov 2018

Novice Elementary Teachers’ Experiences With Preparedness To Teach Mathematics: A Phenomenological Study, Ashleigh Rose Chaves

Doctoral Dissertations and Projects

The purpose of this transcendental phenomenological study was to describe novice elementary teachers’ experiences with preparedness to teach mathematics in a large school district in southeastern Massachusetts. In defining the novice elementary teachers’ experiences, I looked at the participants’ self-efficacy through the lens of Bandura’s self-efficacy theory. Self-efficacy was defined as how confident the novice teachers were in regard to their ability to teach mathematics. The focus of this study was how adequately prepared the teachers felt teaching elementary mathematics but also investigated how the teachers felt about their readiness to address the challenges students experience in mathematics. The following …


Special Education Teachers’ Perceptions Of Students’ With Disabilities Ability, Instructional Needs, And Difficulties Using Visual Representations To Solve Mathematics Problems, Delinda Van Garderen, Apryl L. Poch, Amy Scheuermann Aug 2018

Special Education Teachers’ Perceptions Of Students’ With Disabilities Ability, Instructional Needs, And Difficulties Using Visual Representations To Solve Mathematics Problems, Delinda Van Garderen, Apryl L. Poch, Amy Scheuermann

Special Education and Communication Disorders Faculty Publications

In this article, we present findings that examined special education teachers’ perception of students’ with disabilities ability, instructional needs, and difficulties for using visual representations (VRs) as a strategy to solve mathematics problems. In addition, whether these perceptions differed by instructional grade or setting currently teaching was examined. Survey data from 97 in-service teachers revealed, regardless of instructional setting or grade level taught, that they believe students with disabilities have the ability to learn about and use VRs and need to be taught to use VRs. Furthermore, the special education teachers perceived students with disabilities to have difficulty with all …


Investigating The Potential Of The Flipped Classroom Model In Secondary Mathematics, Allison Birdsall Aug 2018

Investigating The Potential Of The Flipped Classroom Model In Secondary Mathematics, Allison Birdsall

Master's Theses & Capstone Projects

This literature review investigates the effectiveness of the flipped classroom model in secondary mathematics classes, specifically the types of modifications and strategies teachers have used to help improve student motivation and academic success. The use and availability of technology in the classroom keeps increasing. Many classrooms now have access to tools and resources that they could only dream about ten years ago. Educators have adapted teaching styles and strategies to align with the new growth of technology. With so many technology options now available to students and teachers, the flipped classroom model offers flexibility to adapt the learning to the …


Factors Influencing Special Education Teachers' Mathematics Teaching Efficacy, Owen Martin Jun 2018

Factors Influencing Special Education Teachers' Mathematics Teaching Efficacy, Owen Martin

Doctoral Dissertations and Projects

This research examined the relationship between secondary special education teachers’ mathematics teaching efficacy and the number of years of teaching experience, years of co-teaching experience, and number of math content coursework taken at the undergraduate level. Students with special needs continue to score significantly lower than their general education peers on Virginia’s standards of learning mathematics tests. A quantitative, non-experimental correlational research design was used in this study. The targeted sample consisted of approximately 120 collaborating special education teachers in two school districts in southeastern Virginia. The Mathematics Teaching Efficacy Belief Instrument (MTEBI) was measure mathematics teaching efficacy and teacher …


Scheduling Of Recess Before Mathematics And Third Grade Students' Mathematical Achievement In Virginia: A Causal Comparative Study, Sarah Danaher Jun 2018

Scheduling Of Recess Before Mathematics And Third Grade Students' Mathematical Achievement In Virginia: A Causal Comparative Study, Sarah Danaher

Doctoral Dissertations and Projects

Recess is a vital piece of the elementary school day. The impact of this time extends beyond students’ physical, emotional, and social health. Recess has also been shown to have a positive impact on the classroom performance of students. The purpose of this causal comparative study was to test the theory of the impact of recess in elementary school that relates to the scheduling of mathematics directly after recess time to achievement on a standardized mathematics assessment for third grade students in Central Virginia. Grade level and assessment type were controlled for in this study. Participants were third grade students …


A Phenomenological Study Of College Students In Developmental Mathematics Classes Experiences With Mathematics And Computer Anxiety, Dan Murphy Jun 2018

A Phenomenological Study Of College Students In Developmental Mathematics Classes Experiences With Mathematics And Computer Anxiety, Dan Murphy

Doctoral Dissertations and Projects

No research has been conducted on college students in developmental mathematics classes struggling with both mathematics anxiety and computer anxiety in a qualitative manner. Prior studies have dealt with college students in developmental mathematics classes struggling with mathematics anxiety and college students in developmental mathematics classes struggling with computer anxiety. The purpose of this transcendental phenomenological study was to describe the experiences of students taking developmental mathematics who self-report both mathematics anxiety and computer anxiety. The theory guiding this study was the social cognitive theory by Bandura (1986) as modeling is a key component in the learning of mathematics, especially …


The Impact Of Computer-Based Programs On Middle School Math Achievement, Kenyatta Gilmore May 2018

The Impact Of Computer-Based Programs On Middle School Math Achievement, Kenyatta Gilmore

Doctoral Dissertations and Projects

The purpose of this correlation research study was to investigate the impact of computer-based learning on middle school math achievement of at-risk students. The participants for this study were drawn from a convenience sample of 83 middle school students located in southeastern Georgia. At-risk middle school students were achieving below their grade equivalent and failing to meet local and state proficiency standards. Computer-based instruction was implemented as an intervention to increase student achievement in mathematics. The study used a pretest-posttest control group design and used SPSS software to conduct the statistical analyses using an ANCOVA and t-test. The results indicated …


Experiencing Success: A Hermeneutic Phenomenology Of Successful Remedial Mathematics Students, Kyle Ireland May 2018

Experiencing Success: A Hermeneutic Phenomenology Of Successful Remedial Mathematics Students, Kyle Ireland

Doctoral Dissertations and Projects

The purpose of this hermeneutic phenomenological study was to describe how students experience success in mathematics remediation at a four-year private institution in the central United States. Success in a remedial mathematics course was defined as one’s completion of a required remedial mathematics course having earned an overall grade of 90% or higher. The theories guiding this study were achievement goal theory and expectancy-value theory grounded in Bandura’s social cognitive theory. This theoretical framework provided a motivational framework for student success in a post-secondary, remedial mathematics course based on individual goals for completing the task, student self-efficacy beliefs, and the …


Underachievement In Mathematics In The Early Childhood Classroom, Amy E. Lieberman Apr 2018

Underachievement In Mathematics In The Early Childhood Classroom, Amy E. Lieberman

Education: Student Scholarship & Creative Works

No abstract provided.


Teacher Factors And The Impact On Student Success In Algebra I, Kalee Mcmullen Apr 2018

Teacher Factors And The Impact On Student Success In Algebra I, Kalee Mcmullen

Doctoral Dissertations and Projects

Algebra I proficiency is an important aspect of a solid foundation in mathematics. Teachers play a critical role in the failure or success of students. Different teacher characteristics are thought to have a significant impact on the potential for student success. This non-experimental correlational research study seeks to examine the potential relationships between specific teacher characteristics and student success in Algebra I as measured by the Algebra I End of Course Exam scores. This study uses ordinary least squares regression analysis to examine the effects of independent variables on successful Algebra I scores. The independent variables in this study include …


The Impact Of Khan Academy Math Remediation On Ninth Grade Student Achievement, Sandra Kelly Apr 2018

The Impact Of Khan Academy Math Remediation On Ninth Grade Student Achievement, Sandra Kelly

Doctoral Dissertations and Projects

The purpose of this quasi-experimental study was to determine if using Khan Academy as math remediation for fifteen minutes per day during a ninth grade Math I class would significantly affect student math achievement as measured by the North Carolina READY Math I End-of-Course Assessment. This quantitative study conducted at two rural high schools in West Virginia used remediation theory to make a comparison against a control population with the independent variable being grade level instruction only or grade level instruction plus math remediation using Khan Academy. The participants in the study included 131 ninth grade high school students taking …


The Impact Of Teachers With Differing Levels Of Degree Attainment On Student Performance In Mathematics, Marie Call Apr 2018

The Impact Of Teachers With Differing Levels Of Degree Attainment On Student Performance In Mathematics, Marie Call

Doctoral Dissertations and Projects

The No Child Left Behind (NCLB) Act states that in order for K-12 teachers to be considered “highly qualified” they must obtain at least a bachelor’s degree. However, research shows that the vast majority of states compensate teachers more highly for obtaining graduate degrees. The purpose of this study was to determine whether there is a difference in mean scores and/or pass rates of fourth-grade students on the Georgia Milestones End of Grade (EOG) Assessment in Mathematics for teachers with various levels of degree attainment (bachelor’s, master’s, educational specialist, and doctoral degrees). The theoretical framework that this study was rooted …


People Like Me: Providing Relatable And Realistic Role Models For Underrepresented Minorities In Stem To Increase Their Motivation And Likelihood Of Success, Nir Aish, Philip Asare, Elif Eda Miskioglu Mar 2018

People Like Me: Providing Relatable And Realistic Role Models For Underrepresented Minorities In Stem To Increase Their Motivation And Likelihood Of Success, Nir Aish, Philip Asare, Elif Eda Miskioglu

Faculty Conference Papers and Presentations

Despite efforts to increase participation of racial and ethnic minorities (excluding Asians) in science, technology, engineering and mathematics (STEM) in the United States, this group remains underrepresented in these fields. Many efforts to increase minority participation focus on support structures to help this group “get through” the pipeline. However, less attention has been paid to increasing their intrinsic motivation to pursue careers in STEM. Our work is focused on increasing this intrinsic motivation, looking at role models as external influences. Underrepresented minorities are faced with a limited role model pool and in many cases with role models (who we call …


Developing A Multi-Dimensional Early Elementary Mathematics Screener And Diagnostic Tool: The Primary Mathematics Assessment, Jonathan L. Brendefur, Evelyn S. Johnson, Keith W. Thiede, Sam Strother, Herbert H. Severson Mar 2018

Developing A Multi-Dimensional Early Elementary Mathematics Screener And Diagnostic Tool: The Primary Mathematics Assessment, Jonathan L. Brendefur, Evelyn S. Johnson, Keith W. Thiede, Sam Strother, Herbert H. Severson

Curriculum, Instruction, and Foundational Studies Faculty Publications and Presentations

There is a critical need to identify primary level students experiencing difficulties in mathematics to provide immediate and targeted instruction that remediates their deficits. However, most early math screening instruments focus only on the concept of number, resulting in inadequate and incomplete information for teachers to design intervention efforts. We propose a mathematics assessment that screens and provides diagnostic information in six domains that are important to building a strong foundation in mathematics. This article describes the conceptual framework and psychometric qualities of a web-based assessment tool, the Primary Math Assessment (PMA). The PMA includes a screener to identify students …


Bricklayer: Elementary Students Learn Math Through Programming And Art, Michelle Friend Feb 2018

Bricklayer: Elementary Students Learn Math Through Programming And Art, Michelle Friend

Teacher Education Faculty Proceedings & Presentations

As computer science becomes more prevalent in the K-12 world, elementary schools are increasingly adopting computing curricula. Computer scientists have recognized the connection between math and computer science, but little work has demonstrated how and whether computer science can support improved learning in math. This paper reports on a project in which elementary students in a gifted program used Bricklayer, a functional programming environment that supports artistic and mathematical expression. A pre- and post-test design demonstrates significant learning gains in coordinate graphing and visual-spatial skills.


Technologies To Enhance And Extend Children's Understanding Of Geometry: A Configurative Thematic Synthesis Of The Literature, Helen Crompton, Melva R. Grant, Khitam Y. H. Shraim Feb 2018

Technologies To Enhance And Extend Children's Understanding Of Geometry: A Configurative Thematic Synthesis Of The Literature, Helen Crompton, Melva R. Grant, Khitam Y. H. Shraim

Teaching & Learning Faculty Publications

Empirical evidence indicates that students are not learning geometry with relational understanding of the concepts. Studies have shown that digital technologies can support students in mathematics. The purpose of this study was to find which technologies and technological affordances are specific to learners of geometry. This paper presents the results of a configurative thematic synthesis of empirical studies and theoretical papers to show that dynamic geometry environments (DGEs: including 3D DGEs) and logobased environments were the main types of technologies used to support geometry learners. The results of this study also reveal that there are five main technological supports provided …


Mathematical Abilities In Children With Developmental Language Disorder, Alexandra M. Cross, Lisa M.D. Archibald, Marc F. Joanisse Jan 2018

Mathematical Abilities In Children With Developmental Language Disorder, Alexandra M. Cross, Lisa M.D. Archibald, Marc F. Joanisse

Health and Rehabilitation Sciences Publications

Purpose. The present paper provides a scoping review of the literature on mathematical abilities in developmental language disorder (DLD). Children with DLD typically struggle with learning in school, however the mechanism by which DLD impacts academic success is unclear. Mathematics involves demands in the multiple domains, and therefore holds potential for examining the relationship between language and academic performance on tasks mediated by verbal and non-verbal demands.

Methods. A scoping review was performed via computerized database searching to examine literature on mathematics and DLD. The 21 papers meeting inclusion criteria compared children with typical development or DLD on various tasks …


I'M Proud To Be A Toy Teacher: Using Cra To Become An Even More Effective Teacher, Derek Hurrell Jan 2018

I'M Proud To Be A Toy Teacher: Using Cra To Become An Even More Effective Teacher, Derek Hurrell

Education Papers and Journal Articles

The role of manipulative materials in mathematics can be a contentious one. It seems that in the mind of some teachers, manipulatives are fine in the early years but have no place in a rigorous maths classroom as the students get older. It is a topic worth our consideration.


From Research To Practice: The Case Of Mathematical Reasoning, Dianne Siemon, Rosemary Callingham, Lorraine Day, Marj Horne, Rebecca Seah, Max Stephens, Jane Watson Jan 2018

From Research To Practice: The Case Of Mathematical Reasoning, Dianne Siemon, Rosemary Callingham, Lorraine Day, Marj Horne, Rebecca Seah, Max Stephens, Jane Watson

Education Conference Papers

Mathematical proficiency is a key goal of the Australian Mathematics curriculum. However, international assessments of mathematical literacy suggest that mathematical reasoning and problem solving are areas of difficulty for Australian students. Given the efficacy of teaching informed by quality assessment data, a recent study focused on the development of evidence-based Learning Progressions for Algebraic, Spatial and Statistical Reasoning that can be used to identify where students are in their learning and where they need to go to next. Importantly, they can also be used to generate targeted teaching advice and activities to help teachers progress student learning. This paper explores …


Readiness To Teach Secondary Mathematics: A Study Of Pre-Service Mathematics Teachers' Self-Perceptions, Gregory S.C. Hine, Thuan Thai Jan 2018

Readiness To Teach Secondary Mathematics: A Study Of Pre-Service Mathematics Teachers' Self-Perceptions, Gregory S.C. Hine, Thuan Thai

Education Conference Papers

This study evaluated pre-service teachers’ (PSMTs) perceptions of their own readiness to teach secondary mathematics. The study was conducted at an Australian university across two campuses, in different states. Specifically, PSMTs’ perceptions of their preparedness were explored in terms of mathematical content knowledge, pedagogical content knowledge, and mathematical knowledge for teaching. Findings indicate that while the majority of participants feel that they have the requisite content knowledge to confidently teach Lower School secondary mathematics, further training is required to develop their content and pedagogical knowledge, especially for upper secondary mathematics.


Process Over Product: It's More Than An Equation, Lorraine Day, Derek Hurrell Jan 2018

Process Over Product: It's More Than An Equation, Lorraine Day, Derek Hurrell

Education Conference Papers

Developing number and algebra together provide opportunities for searching for patterns, conjecturing, justifying, and generalising mathematical relationships. It allows the focus to be on the process of mathematics and noticing the structure of arithmetic, rather than the product of arriving at a correct answer. Two of the big ideas in mathematics are multiplicative thinking and algebraic reasoning. By noticing the structure of multiplicative situations, students will be in a position to reason algebraically, and the process of reasoning algebraically will allow students to appreciate the value of thinking multiplicatively rather than additively.


Course Portfolio For Math 407 Mathematics For High School Teaching: Refining Conceptual Understanding In A Mathematics Course For Pre-Service Teachers, Alexandra Seceleanu Jan 2018

Course Portfolio For Math 407 Mathematics For High School Teaching: Refining Conceptual Understanding In A Mathematics Course For Pre-Service Teachers, Alexandra Seceleanu

UNL Faculty Course Portfolios

My intention in this portfolio is to present my approach to teaching an upper-level mathematics course for pre-service secondary level mathematics teachers. Several teaching strategies are discussed in the context of designing a coherent approach to this course, which emphasizes the need for conceptual reasoning above all other goals. These strategies are evaluated and assessed in connection to the learning outcomes using samples of student work from the course.

Also presented are samples of course materials that were used to lead students through an organized discussion of the relevant concepts. These materials convey some basic mathematical knowledge and therefore may …