Teacher Education and Professional Development Commons^™

Factors For Success In Community College Online Gateway Math, Lisa Marie Borzewski

Walden Dissertations and Doctoral Studies

Researchers have found that student success rates in online classes are lower than in comparable face-to-face courses. Yet, the research is unclear as to whether student demographic and academic history variables are related to the lower success rates. At a large community college in Florida, low success rates for students in the online Intermediate Algebra course led to delays in the continuation of required coursework and graduation for many students and the factors associated with low success rates were largely unknown. The purpose of this quasi-experimental study was to examine the associations between several student variables and student success in …

Teachers' Perceptions Of Manipulatives During Middle School Math Instruction, Angela L. Vizzi

Walden Dissertations and Doctoral Studies

In a Colorado school district, school personnel and parents were concerned that middle school math proficiency levels were low for 2011-2014 and math teachers were not using manipulatives in their classes to increase math performance. The district's math coordinator did not foresee providing specific professional development (PD) for math manipulative use to address these concerns. Without this PD, math teachers may be ill-quipped to teach math concepts when using manipulatives, which, in turn, could lead to further poor math performance. The purpose of this qualitative bounded collective case study was to explore middle school teachers' perceptions of PD and perceived …

Student Perceptions Of Flipped Learning In A High School Math Classroom, Daniel Strohmyer

Walden Dissertations and Doctoral Studies

Flipped classrooms are implemented in more schools each year, particularly in courses requiring increased teacher guidance for mastery. While a foundation of research related to pedagogy and academic outcomes exists, research is limited surrounding student perceptions of the social and learning culture during flipped learning. The purpose of this study was to explore high school math students' lived experiences of flipped learning related to content and instruction, critical thinking, and collaboration and interactions. A phenomenological design was employed using a conceptual framework combining cognitive load theory, sociocultural learning theory, and schema theory. Students from two public high schools in the …

Developing Primary Pre-Service Teachers' Mathematical Content Knowledge During Practicum Teaching, Sharyn L. Livy, Colleen Vale, Sandra Herbert

Australian Journal of Teacher Education

While it is recognised that a teachers’ mathematical content knowledge (MCK) is crucial for teaching, less is known about when different categories of MCK develop during teacher education. This paper reports on two primary pre-service teachers, whose MCK was investigated during their practicum experiences in first, second and fourth years of a four-year Bachelor of Education program. The results identify when and under what conditions pre-service teachers’ developed different categories of their MCK during practicum. Factors that assisted pre-service teachers to develop their MCK included program structure providing breadth and depth of experiences; sustained engagement for learning MCK; and …

Ambiguity In Speaking Chemistry And Other Stem Content: Educational Implications, Mick D. Isaacson, Michelle Michaels

Journal of Science Education for Students with Disabilities

Ambiguity in speech is a possible barrier to the acquisition of knowledge for students who have print disabilities (such as blindness, visual impairments, and some specific learning disabilities) and rely on auditory input for learning. Chemistry appears to have considerable potential for being spoken ambiguously and may be a barrier to accessing knowledge and to learning. Educators in chemistry may be unaware of, or have limited awareness of, potential ambiguity in speaking chemistry and may speak chemistry ambiguously to their students. One purpose of this paper is to increase awareness of potential ambiguity in speaking chemistry and other STEM fields …

Integrating Writing In The Middle-Level Mathematics Classroom: An Action Research Study, Alyssa Beavers, Brandon L. Fox, Jamaal Young, Elizabeth M. Bellows, Leah Kahn

MLET: The Journal of Middle Level Education in Texas

Discourse in mathematics refers to the written and oral communication that occurs in the mathematics classroom. Yet, in many classrooms in the United States, writing is often taught remotely in the classroom of a language arts teacher. In this action research project, our focus was on improving students’ written expressions and explanations in the middle-level mathematics classroom. The purpose of this action research was to examine and evaluate the effect writing has on students’ mathematical thinking processes and skills. Over the course of eight weeks, students were presented with various writing assignments in mathematics. Students were given approximately 20 minutes …

What Concerns Are Secondary Mathematics Teachers Experiencing With The Implementation Of The Common Core State Standards For Mathematics And Is There A Relationship Between The Concerns And Professional Development Received?, Suzanne Therez Jennings

Dissertations

Using the Concerns Based Adoption Model (CBAM) as the theoretical framework, this mixed-methods study utilized three research methods, quantitative, profile interpretation, and qualitative to answer the research questions to investigate the concerns teachers were experiencing during the first year of implementing the Common Core State Standards for Mathematics (CCSSM) and to determine if professional development affected those concerns. The Stage of Concern questionnaire which included two open-ended questions was employed to survey 88 secondary Mississippi mathematics teachers. MANOVA was used to investigate any differences in the means of the relative levels of intensity present within the subgroups which are inconclusive. …

The Effects Of Problem-Based Learning On Mathematics Achievement Of Elementary Students Across Time, Brittany Marie Crowley

Masters Theses & Specialist Projects

The present study specifically evaluated the long-term effects of problem-based learning (PBL) instruction on the mathematics achievement of students who demonstrated higher ability in the subject area than their comparable peers. Subjects included 65 students from six south-central Kentucky elementary schools who participated in Project Gifted Education in Math and Science (Project GEMS), a grant partially funded through the Jacob K. Javits Gifted and Talented Students Education Program. The students were assigned to one of three conditions – PBL-Plus, PBL, or Control – based upon school of attendance. The participants were then administered baseline testing in the fall of the …

The Power Of Improvisational Teaching, Elizabeth Graue, Kristin Whyte, Anne E. Karabon

Teacher Education Faculty Publications

In this study we examine how improvisation can facilitate understanding how teachers respond to children's multiple resources, interests, experiences, and skills in early childhood programs. Improvisation is conceptualized as a responsive, partnered activity through which teachers and children generate meaning and knowledge together. In our analysis we show improvisation is taken up differently in two classrooms and how it variably provides opportunities for learning. Two cases from a professional development program designed to support culturally and developmentally appropriate early mathematics are used to demonstrate the possibilities improvisation creates in era of increasing standardization of curriculum.

Fostoria Intermediate Elementary School Family Math Night, Chelsea Nye

Honors Projects

This is a Family Math Night that was planned and held at Fostoria Intermediate Elementary School in Fostoria, Ohio. It includes the Research Questions, Literature Review, Proposed Activity, Methodology, and Expected Results as well as the Annotated Bibliography and Timeline for Completion from my research and planning. Following the Proposal are 20 mathematical activity or game lesson plans and direction sheets that were planned for the Family Math Night. There are 5 different mathematical activities or games for each grade level 3-6, each meeting a different domain in the Common Core State Standards. At the end there is two general …

When And How To Appropriately Implement Teaching Tools And Strategies For Early Childhood Numeracy, Elizabeth Bartha, Julie Dombai

Education: Student Scholarship & Creative Works

The Augustana/Longfellow Number Sense Project (NSP) is a collaborative action research project that was created to provide purposeful, individualized instruction for Longfellow’s kindergarteners and enhance the teacher education program at Augustana. During this program, we work with Kindergarten students on mathematical concepts and skills. Our lessons incorporate both hands-on materials and educational software into our lessons. As we became familiar with this software, we began to suggest ways we could improve the software as well as ideas for new applications designed to help meet needs the students encountered in the classroom. Because the students interacted with a variety of teaching …

Expect The Unexpected When Teaching Probability, Karen Koellner, Mary Pittman, Jonathan L. Brendefur

Curriculum, Instruction, and Foundational Studies Faculty Publications and Presentations

Probability has recently made its way into many textbook series and standards documents (NCTM, 2000; NGA, 2010). When students engage in probability problem solving many unexpected situations can arise due to the counterintuitive nature of probability concepts. These situations can be difficult for students and challenging for teachers to analyse during teaching. Recently, as facilitators of a Mathematics Science Partnership grant workshop on probability, we had the opportunity to engage middle school teachers in professional development workshops as well as in their classrooms. In this article, we discuss a rich probability task used with these teachers along with two scenarios …

Imagining A Future In Prek: How Professional Identity Shapes Notions Of Early Mathematics, Elizabeth Graue, Anne E. Karabon, Katherine Kresin Delaney, Kristin Whyte, Jiwon Kim, Anita Wager

Teacher Education Faculty Publications

This article describes how early childhood teachers engaged in a public preK professional development program. We examine how developing teacher identities mediated engagement with the discourses of developmentally appropriate practice, early mathematics, and funds of knowledge and how they connected present practice to an imagined future. We found that helping them to connect practice experience and new mathematical content knowledge through play allowed them to envision a meaningful place for math with young children.

A Glimpse Into Secondary Students’ Understanding Of Functions, Jonathan L. Brendefur, Gwyneth Hughes, Robert Ely

Curriculum, Instruction, and Foundational Studies Faculty Publications and Presentations

In this article we examine how secondary school students think about functional relationships. More specifically, we examined seven students’ intuitive knowledge in regards to representing two real-world situations with functions. We found students do not tend to represent functional relationships with coordinate graphs even though they are able to do so. Instead, these students tend to represent the physical characteristics of the situation. In addition, we discovered that middleschool students had sophisticated ideas of dependency and covariance. All the students were able to use their models of the situation to generalize and make predictions. These findings suggest that secondary students …

A Program Evaluation Of My MathTm: Improving Student Computational Fluency Through Inquiry-Based Instruction, Andrea Townsend

Walden Dissertations and Doctoral Studies

This program evaluation study addressed a critical deficiency in early childhood math proficiency for a local urban school district. To strengthen students' skills in mathematics, the district adopted the Common Core State Standards and piloted an inquiry-based instructional program called My Math. The purpose of this project study was to determine the extent to which My Math met the goals of improving Grades K-2 students' math proficiency. The conceptual framework was based on theories of multiple intelligences, social learning, and foundations of social development. The National Program Evaluation Standards were used to guide the program evaluation. The research questions centered …

Teacher Mathematics Language: Its Use In The Early Childhood Classroom And Relationship With Young Children's Learning, Emma Whitman

Dissertations

Early mathematics instruction has been linked to children's later outcomes in both literacy and mathematics. One important component of this instruction, teachers' mathematics language in the early childhood classroom, has been connected to children's mathematical gains. However, this work is lacking in both scope and depth. The objective of this study was to provide a review of the use of math language by early childhood teachers and address the issues neglected in the current literature. The study looks at: the type of content that teachers' mathematics language emphasizes, the mediating effects of settings on the mathematics language that is used, …

The Impact Of Math Anxiety In The Primary Grades, Amanda R. Anderson-Mix

Mathematics Graduate Theses

Math anxiety is an increasingly common occurrence among individuals when working with mathematical concepts. While researching math anxiety the author came across common gender stereotypes implying: women do not perform as well as men in the field of mathematics, women experience a much higher level of math anxiety than men, and most women do not appreciate performing mathematical tasks. Although the concept of math anxiety is an interesting topic to the author, it's important to look deeper than simply the question, “What is math anxiety?” Seeing these stereotypical assumptions that women have higher math anxiety levels, it made this author …

Pre-Service Elementary Teachers' Affective Dispositions Toward Mathematics, Benjamin R. Mcdermott

Open Access Theses & Dissertations

The purpose of this study was to measure and report pre-service elementary teachers' affective domain of productive disposition toward mathematics during the semester they were enrolled in a reform-based mathematics methods course. The study attempted to observe and report dynamic and enduring aspects of disposition as well as the perceived reasons for any changes, or lack thereof, in disposition. The rationale for focusing on disposition is related to Kilpatrick, Swafford, and Findell's (2001) inclusion of productive disposition as one of the five interdependent strands of the mathematical proficiency conceptual framework. Furthermore, it has been argued that dispositions develop at very …

Effects Of Embedded Study-Skills Instruction On High School Students' Attitudes Toward Mathematics, Alberta Diahann Banks

Walden Dissertations and Doctoral Studies

The target school used embedded study skills in Algebra I classes to improve attitudes toward mathematics. The purpose of this sequential, explanatory mixed-methods study was to examine the effect of embedded study-skills instruction on students' attitudes toward mathematics. Metacognitive theory was used for this study's framework. Participants were 28 Grade 9 and 10 students who repeated Algebra I. Quantitative data from the Attitudes Toward Mathematics Inventory assessed students' pre- and post-instruction attitudes toward mathematics in 4 domains. Data were analyzed using 4 independent samples t tests for students who did and did not receive embedded instruction. Qualitative data were collected …

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 …

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

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 …

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.

Calculator Usage In Secondary Level Classrooms: The Ongoing Debate, Nicole Plummer

Honors College Theses

With technology becoming more prevalent every day, it is imperative that students gain enough experience with different technological tools in order to be successful in the “real-world”. This thesis will discuss the debate and overall support for an increased usage of calculators as tools in the secondary level classroom. When the idea of calculators in the classroom first came to life, many educators were very apprehensive and quite hesitant of this change. Unfortunately, more than 40 years later, there is still hesitation for their usage; and rightfully so. While there are plenty of advantages of calculator use in the classroom, …

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 …

Integrating Technology And Engineering In A Stem Context, Barry N. Burke, Philip A. Reed, John G. Wells, Robert E. Yager (Ed.), Herbert Brunkhorst (Ed.)

STEMPS Faculty Publications

(First paragraph) Imagine students entering the classroom with an enthusiasm that cannot be contained. They come from all walks of life and with different experiences and backgrounds and are eager to engage in learning. Inspiration and innovation are on their mind. What they learned in their science and math classes is now being applied in another class they take called Technology and Engineering. Opportunity is what they see for their future. Something about connecting all the dots from all their classes propels them to change their outlook, to get involved, to get excited about school and to envision their future.

Paper 2: Design Considerations For Visually-Aided Discussion Prompts: Emphasizing Mathematical Reasoning In Teacher Education, Anne Marie S. Marshall, Kadian M. Callahan

Georgia Association of Mathematics Teacher Educators (GAMTE) Annual Conference (2007-2019)

The availability and familiarity of online discussion tools create new instructional options that teacher educators can use to foster prospective teachers’ understanding of mathematics. In particular, online discussion blogs provide an avenue through which teacher educators can press prospective teachers to explore mathematical concepts and share their mathematical reasoning with peers. Furthermore, by incorporating visual stimulations as a design component of these discussion blogs, prospective teachers can make sense of and respond to others’ ideas about mathematical concepts with greater clarity. This paper shares preliminary findings of a research study that examined the extent to which the design of a …

Design Considerations For Visually-Aided Discussion Prompts: Emphasizing Mathematical Reasoning In Teacher Education, Anne Marie S. Marshall, Kadian M. Callahan

Proceedings of the Annual Meeting of the Georgia Association of Mathematics Teacher Educators

The availability and familiarity of online discussion tools create new instructional options that teacher educators can use to foster prospective teachers’ understanding of mathematics. In particular, online discussion blogs provide an avenue through which teacher educators can press prospective teachers to explore mathematical concepts and share their mathematical reasoning with peers. Furthermore, by incorporating visual stimulations as a design component of these discussion blogs, prospective teachers can make sense of and respond to others’ ideas about mathematical concepts with greater clarity. This paper shares preliminary findings of a research study that examined the extent to which the design of a …

Learning To Teach Mathematics And To Analyze Teaching Effectiveness: Evidence From A Video- And Practice-Based Pre-Service Course, Rossella Santagata, Cathery Yeh

Education Faculty Articles and Research

Although emerging consensus exists that practice-based approaches to teacher preparation assist in closing the distance between university coursework and fieldwork experiences and in assuring that future teachers learn to implement innovative research-based instructional strategies, little empirical research has investigated teacher learning from this approach. This study examines the impact of a video- and practice-based course on prospective teachers’ mathematics classroom practices and analysis of their own teaching. Two groups of elementary prospective teachers participated in the study—one attended the course and one did not. Findings reveal that the course assisted participants in making student thinking visible and in pursuing it …

Secondary Mathematics Teachers’ Literacy Professional Learning: An Amalgamation Of Adolescent Literacy, Mathematics Teaching, And Adult Learning, Janet L. Larson

Department of Teaching, Learning, and Teacher Education: Theses and Other Student Research

This study uses practitioner research to examine secondary mathematics teachers’ learning of literacy integration practices in the context of a district-wide literacy professional development series. The author, a secondary mathematics curriculum and instruction facilitator in a large, Midwestern suburban district, engaged in a two-year partnership with seventeen Mathematics Teacher Facilitators (MTFs) who taught literacy practices to their colleagues via a train-the-trainer model. This study provides an explicit rendering of professional development practices and ongoing, job-embedded learning vignettes of six MTF’s experiences in (a) teaching literacy practices to their colleagues and (b) how they learned and enacted these practices in their …