Science and Mathematics Education Commons^™

Threshold Concepts In Quantitative Reasoning, Judith Canner, Jennifer E. Clinkenbeard

Numeracy

The idea of “threshold concepts” has been used to identify discipline-based concepts that are critical to that academic area. Threshold concepts are often difficult for students to assimilate in a meaningful way but, once done, can be powerful for the learner. In general, threshold concepts are 1) transformative to learner thinking; 2) bounded by the discipline; 3) integrative with other concepts; and 4) irreversible once understood (Meyer and Land 2003). This paper presents five threshold concepts in quantitative reasoning (QR) developed by transdisciplinary faculty workgroups that may be applicable for non-mathematics disciplines as well. They are as follows: 1) QR …

Facilitating Effective Mathematical Teaching Practices In Preschool, Funda Gonulates, Jasook Gilbert

Journal of Global Education and Research

Initial seeds for mathematics literacy are planted during early childhood. Children benefit when they are exposed to and provided with opportunities for math experiences that emphasize their holistic development and not just mathematics proficiency in isolation. This way of viewing and presenting mathematics to young children requires teachers who are equipped with strong mathematics teaching skills. This study examined a 21-hour professional development series for public school preschool teachers on early numeracy, geometry, mathematical reasoning, and teaching pedagogies. This professional development series aimed to help preschool teachers incorporate effective mathematical practices and increase their comfort level in teaching mathematics. Participants …

Teaching Mathematics To All Learners By Tapping Into Indigenous Legends: A Pathway Towards Inclusive Education, Nahid Golafshani

Journal of Global Education and Research

This study explored the use of Indigenous storytelling in the planning and teaching of mathematical content. In collaboration with Indigenous and non-Indigenous educators, a culturally inclusive mathematical lesson was developed, implemented, and reviewed in an elementary school in Northern Ontario. This study used a culturally authentic approach to address the current educational issue of diversity within the Ontario curriculum and education system. The results of this study suggested that utilizing Indigenous storytelling for teaching mathematical curricular expectations could benefit both Indigenous and non-Indigenous students. Storytelling can allow students to relate abstract mathematical concepts to their own lived experiences, to be …

Evolution Of Novice Teachers’ Instructional Visions To Teach Elementary Mathematics: A Longitudinal Collective Case Study, Amber Nicole Brown

USF Tampa Graduate Theses and Dissertations

This longitudinal collective case study is about the transformational experiences of three novice elementary teachers, Tammy, Katie, and Michelle, as they moved from an elementary teacher preparation program, at a large research university in the southeast United States, through their first two years of teaching in different elementary school contexts. Situated within literature pertaining to instructional vision and visions of high-quality mathematics instruction (VHQMI), these cases were used to explore the teachers’ perceptions of their visions of high-quality mathematics instruction and how these perceptions evolve over time. The study design prioritizes novice teacher voices as predominant data sources to elevate …

“Math Talks Are Like An Alarm Clock Waking You Up”: Language’S Crucial Role In Mathematics, Gabriella M. Wasser

Journal of Practitioner Research

Whole group math talks, or number talks, are a common practice to get students talking about their own understanding of mathematical concepts. The purpose of this study was to implement math talks in small group settings to see what would happen, specifically to students’ conceptual understanding as well their general perceptions of math talks. This study took place in a fourth-grade math classroom, and math talks were implemented with the whole class for a week and then moved to small groups for the remaining three weeks of the study. During the study, a pre-and post-assessment was given, field notes were …

What Can We Learn From The Different Understandings Of Mathematical Literacy?, Svein Arne Sikko

Numeracy

Mathematical literacy, quantitative literacy, numeracy, matheracy, disciplinary literacy, and content-area literacy are among a plethora of terms used to link mathematics and literacy. In addition to this abundance of terms, the content of the terms is not precise, and in some cases the terms are used interchangeably. I delve into this landscape and dissect the meaning of each of them. From such an analysis of mathematical literacy, numeracy, and quantitative literacy, we learn about the importance of quantitative practices and elementary mathematics in society, including both how mathematics is necessary for everyday life but also how it can be used …

Learning, Planning For, And Reflecting On Teaching Mathematics For Social Justice: A Case Study Investigation Of A High School Mathematics Methods Course, Queshonda J. Kudaisi

USF Tampa Graduate Theses and Dissertations

While much is known about learning to teach for social justice in other content areas, less is known about how mathematics education students learn to teach mathematics for social justice, specifically at the high school level. Hence, this mixed-methods convergent case study addresses this gap in the research literature by examining and describing the experiences of mathematics education students learning to teach mathematics for social justice within the context of a high school mathematics methods course at a large research university in the southeastern United States. The data sources accessed for this study include a survey measuring beliefs about teaching …

Advances In Global Education And Research: Volume 4, Waynne B. James, Cihan Cobanoglu, Muhittin Cavusoglu

University of South Florida (USF) M3 Publishing

This is the fourth volume of the Advances in Global Education and Research Book Series. This volume has the following parts:

• Part 1: Adult Education
• Part 2: Curriculum and Instruction Development
• Part 3: Educational Technology
• Part 4: Education in Other Specialties
• Part 5: English as a Second Language
• Part 6: Global Competence
• Part 7: Higher Education and Educational Leadership
• Part 8: Inclusive Education
• Part 9: International Education
• Part 10: PreK-12
• Part 11: Research Methods in Education

ISBN: 978-1-955833-04-2

Adult Education

• Teaching for knowledge transfer: Best practices from a graduate-level educational psychology distance learning program
  • Bobby Hoffman
• A study on the …

Saudi High School Science Teachers' Perceptions Towards The Integration Of Digital Game-Based Learning Into Their Teaching Practice, Jawaher A. Alsultan

USF Tampa Graduate Theses and Dissertations

The switch to distant learning due to the COVID-19 pandemic demanded an immediate adaptation of technology platforms to improve students' online learning. Science teachers were suddenly required to teach their classes virtually with little time and preparation. This breakneck shift to remote learning raised the question of how teachers can provide instruction to their students in the practices of science using virtual technologies. This embedded case study investigates an intervention to support Saudi science teachers facing the unprecedented challenge posed by COVID-19 in teaching the practices of science in the virtual school platform, Madrasati, through the engagement in digital game-based …

Successful Novice Teachers’ Conceptualizations And Enactments Of The Collaborating Teacher Role: A Dual Case Study, Kia Sarnoff

USF Tampa Graduate Theses and Dissertations

The purpose of this descriptive, exploratory, dual case study was to understand the ways two successful novice middle school mathematics teachers serving as first-year collaborating teachers (CTs) for preservice teachers (PSTs) from the same “Grow Your Own” (GYO) educator preparation program (EPP) where they received their initial preparation conceptualized and enacted their CT roles. The CTs’ perceived impact of being alumni of the same middle school mathematics EPP as their PSTs was also explored. Analysis of interview, observation, and document data collected throughout the PSTs’ initial field experience and the CTs’ first-ever mentoring experience resulted in several key assertions including: …

The Effects Of Socioscientific Issues On Informal Reasoning And The Transference To Controversial Issues In A Social Studies Context, Thomas J. Dolan

USF Tampa Graduate Theses and Dissertations

The purpose of this study was to determine if informal reasoning skills associated with socioscientific issues (SSI) transferred to controversial issues in a social studies context. The principal researcher developed three controversial issues derived from social studies education to create social studies context issues (SSCI). This acronym has been termed by the principal researcher, as controversial issues in social studies have not been evaluated beyond the social studies classroom. Twenty-one, fifth grade students participated in this three-month study, which featured three specific SSI units (A Need for Speed? – speed limit reduction, Roller Coaster Ban – preventing injuries to children, …

Exploring Teacher Candidates' Facilitation Of Common Core Mathematical Practice Three, Andrea Scalzo Willson

USF Tampa Graduate Theses and Dissertations

The Common Core State Standards in Mathematics (CCSSM, 2010), refer to eight distinct Mathematical Practices describing what students should be doing for optimal learning during mathematics lessons. Specifically, Mathematical Practice 3 (MP3), “construct viable arguments and critique the reasoning of others” (CCSSM, 2010, para 4), posits students who are proficient in mathematics are able to compare different solutions, distinguish correct and logically sound answers from those that are incorrect and then explain why the solution is incorrect (CCSSM, 2010). MP3 requires teachers to provide opportunities for students to engage in discussions beyond just “show and tell” talk to develop a …

Using Flipped Classrooms To Teach Mathematics To Elementary Students In Saudi Arabia, Fawaz Alrouqi

USF Tampa Graduate Theses and Dissertations

During the years 2003, 2007, 2011, and 2015, Trends in International Mathematics and Science Study (TIMSS) revealed that students in Saudi Arabia had a below-average mathematics performance among 4th and 8th-grade students. The modern and innovative techniques and strategies of teaching, such as the flipped classroom method, should replace traditional teaching methods to improve the performance and growth of students. This qualitative multiple case study explores a deeper understanding of the perspectives and the experiences of three elementary mathematics teachers when using a flipped classroom model in Saudi Arabia. This case study shows a promise of using the flipped classroom …

Review Of Towards Equity And Justice In Mathematics Education, Edited By Tonya Gau Bartell, Emily Lardner

Numeracy

Tonya Grau Bartell, editor. 2018.Toward Equity and Social Justice in Mathematics Education. (Cham, Switzerland: Springer International Publishing). 341 pp. ISBN 978-3-319-92906-4 (also available as an e-book).

Toward Equity and Social Justice in Mathematics Education is a welcome addition to ongoing conversations about what mathematics should be taught and how it should be taught at both the college and pre-college level. Although the primary audience for the volume will be math educators and researchers, readers of this journal will discover intersecting interests, concerns, and strategies.

A Framework For Reflective Practice, Diana L. Moss, Claudia Bertolone-Smith, Teruni D. Lamberg

Journal of Practitioner Research

Teaching involves making constant choices and orchestrating interventions that impact purposeful teaching and learning. Finding time to collect information and develop solutions for a teaching challenge can be problematic. Teachers may feel pressure to shift instructional practices without incorporating purposeful reflection. We developed a reflection framework and tested it in a middle grades classroom over a two-week period, and employed practitioner research to investigate the potential of allowing for deep reflection within the middle school structure. We investigated how the framework impacted the teacher’s ability to reflect and adjust based on student learning in the classroom. We conclude that sophisticated …

Collaboration Among Mathematicians And Mathematics Educators: Working Together To Educate Preservice Teachers, Amanda R. Mohn

USF Tampa Graduate Theses and Dissertations

Collaboration among higher education professors who are responsible for the education of preservice teachers is one potential solution to the problem of poor teacher preparation. Specifically, collaboration among mathematics educators and mathematicians can enhance preservice teacher preparation because it provides opportunities for preservice teachers to develop pedagogical content knowledge. However, collaborative efforts are challenging, and collaborators often face obstacles and tensions arise among the collaborative group members. Learning about ways the collaborators approach their collaborative efforts, the issues and tensions that arise, the hindering and supporting factors that affect the collaboration, and the potential outcomes of collaborative efforts provides information …

Why I Believe People Need Painting By Numbers, Jason Makansi

Numeracy

Jason Makansi.2016. Painting By Numbers: How to Sharpen Your BS Detector and Smoke Out the Experts (Tucson AZ: Layla Dog Press). 196 pp. ISBN 978-0998425900.

This piece briefly introduces my Painting By Numbers, which aims to take the core messages of the QL/QR community from academic and professional circles to the rest of the citizenry. I describe the book in the context of the critical need for the most basic numeracy tools to help consumers of news, information, and analysis—delivered through traditional and contemporary social media outlets—determine where a reported numerical result lies on the scale from utter nonsense …

Experience Of The Neophyte Science Teachers: Through Their Eyes, David Thornton

USF Tampa Graduate Theses and Dissertations

A variety of lenses were used to examine the world of the novice science teacher. A degree of agency was provided by looking through the eyes of the beginning teacher. Previous studies focused on researcher or program’s orientation, the successes of various educator preparation programs, or were limited in scope to elementary teachers of science. This study was conducted to better understand and appreciate the high school novice science teacher’s view of science, teaching, and teaching science in the today’s contextual setting. Experiences encountered during the initial year of teaching high school science and as perceived by teachers without previous …

Quantitative Reasoning For Teachers: Explorations In Foundational Ideas And Pedagogy, Sheryl Stump

Numeracy

This note describes a course designed to prepare community college instructors and K-12 teachers for teaching foundational aspects of quantitative reasoning. A body of literature on quantitative reasoning and quantitative literacy informed the course design. The note describes the course content, which includes engaging in case studies, reading and discussion, writing assignments, group problem solving, and news-of-the-day presentations. Details of these assignments are provided. The capstone assignment for the course is for participants to design a set of case studies for their own students. Details of this assignment are also provided as well as specific examples of participants’ learning.

Exploring Mathematics Teacher Education Fieldwork Experiences Through Storytelling, Melody Jeane Elrod

USF Tampa Graduate Theses and Dissertations

Throughout the history of teacher education, the final fieldwork experience has often been called the single most influential experience in teacher preparation programs (Burns, Jacobs, & Yendol-Hoppey, 2016; Feiman-Nemser & Buchmann, 1986; Parker-Katz & Bay, 2008). Though this experience has been expanded to include fieldwork experiences throughout many teacher education programs (Guyton & McIntyre, 1990), the final fieldwork experience remains the closing activity and the lasting image of teacher preparation (Feiman-Nemser & Buchmann, 1986; Rosaen & Florio-Ruane, 2008). Given its importance, though, researchers know relatively little about it. “The knowledge thus produced is akin to the quantum theory of physics; …

Self-Study Of A Supervisor Making Connections In An Integrated Instructional Third Space In Elementary Mathematics And Field Experience, Katie Arndt

USF Tampa Graduate Theses and Dissertations

Too often teachers see mathematics as a culturally neutral subject. Teacher educators need to be aware of their own practice and how it impacts the facilitation of preservice teacher learning, in particular in relation to elementary mathematics and culturally responsive teaching. This qualitative self-study focused on understanding a teacher educator’s enactment of an espoused platform in an integrated instructional third space of an elementary field experience and an elementary mathematics methods course in relation to culturally responsive teaching and mathematics. The research questions guiding this self-study were: (1) In the context of the selfstudy, to what extent do I enact …

Attitudes Toward Statistics Studies Among Students With Learning Disabilities, Orly Lipka, Itay Hess

Numeracy

This study aims to examine the effectiveness of a support course to change attitudes toward statistics studies of post-secondary students who were diagnosed with learning disabilities (LD) and/or Attention Deficit Hyperactivity Disorder (ADHD). The participants were 22 students in a support course that was provided over a single academic term on a weekly basis. The design of the study was according to 'Pre-Post' comparison. The effects on attitudes toward statistics were examined quantitatively and qualitatively to provide a comprehensive methodology for the research purposes. Results suggest that the weekly support course model that was taught simultaneously to the on-line course …

Developing Early Numeracy And Early Literacy Skills In Preschool Children Through A Shared Parent/Child Book Reading Intervention: A Multiple-Baseline Single Case Design Study, Christina Lauren Lindahl

USF Tampa Graduate Theses and Dissertations

The present study examined the effectiveness of a shared storybook reading intervention in increasing children’s early numeracy and early literacy skills through a multiple baseline single case design. Four parent-child dyads were included in the study, and children’s early numeracy and early literacy skills were measured using the eNumeracy Early Math Assessments and the Preschool Early Literacy Indicators, respectively. The study also measured mathematical dialogue to determine if an increase in children’s early numeracy skills is due to the intervention and not other confounding variables. Finally, the study measured intervention integrity, and parent ratings of social validity. Results of the …

Ucsmp Teachers’ Perspectives When Using Graphing Calculators In Advanced Mathematics, Ilyas Karadeniz

USF Tampa Graduate Theses and Dissertations

Nowadays, technology plays a fundamental role in education, in general, and in mathematics education in particular. The graphing calculator has been an important technological tool in mathematics classrooms since its invention and introduction in 1985 by Casio. As graphing calculators provided so many uses, their contribution to the teaching and learning process has been investigated by many researchers who have shown the use of such technology can have a significant effect on improving mathematics teaching and learning.

Investigating the impact of graphing calculators on student learning is important. It is also essential to research teachers’ perspectives on how using graphing …

Documenting Elementary Teachers' Sustainability Of Instructional Practices: A Mixed Method Case Study, Bridget Cotner

USF Tampa Graduate Theses and Dissertations

School reform programs focus on making educational changes; however, research on interventions past the funded implementation phase to determine what was sustained is rarely done (Beery, Senter, Cheadle, Greenwald, Pearson, et al., 2005). This study adds to the research on sustainability by determining what instructional practices, if any, of the Teaching SMART[reg] professional development program that was implemented from 2005-2008 in elementary schools with teachers in grades third through eighth were continued, discontinued, or adapted five years post-implementation (in 2013). Specifically, this study sought to answer the following questions: What do teachers who participated in Teaching SMART[reg] and district administrators …

Parts Of The Whole: When Variation Is The Goal, Dorothy Wallace

Numeracy

The goals of higher education are a population of extreme variability in expertise, a diffusion of specialized knowledge across disciplinary boundaries, and production of strong K-12 teachers. Promoting these three goals has implications at all granularities, from the pedagogy of an individual college professor to the incentives and policies that shape systemic change.

Preparing Teachers To Apply Research To Mathematics Teaching: Using Design-Based Research To Define And Assess The Process Of Evidence-Based Practice, Sarah Van Ingen

USF Tampa Graduate Theses and Dissertations

Persistent lack of mathematics achievement and disparity in achievement has led to the publication of research findings related to equitable teaching practices. Although the publication of such research provides insights about approaches for potentially increasing equity in mathematics education, teachers must be able to apply what has been learned from these studies to their classroom teaching practices. Despite the widespread expectation that teachers use research-supported teaching strategies to meet the needs of their diverse classrooms, the research to practice gap persists. Little research is currently available to guide mathematics teacher educators in how to prepare future teachers to apply research …

Investigating The Status Of Early Numeracy Skills In Bilingual Dual Language Learner Latino Children Attending Head Start And The Association With Parent Demographic Characteristics, Chavely Lissette Iglesias

USF Tampa Graduate Theses and Dissertations

Research on mathematics achievement has become increasingly important with today's technological advances and demand for specialized knowledge. Though there is much literature regarding mathematics achievement in monolingual speakers, little is known regarding the mathematical abilities of Dual Language Learner (DLL) Latino children. This study examined the early numeracy skills in English and Spanish of 132 DLL Latino children attending Head Start programs in five counties across Florida. Relationships and differences among their performance in both languages were examined, along with the contribution of specific parent demographic variables to math achievement. Findings indicated that DLL Latino Head Start children's performance on …

Number Sense: The Underpinning Understanding For Early Quantitative Literacy, Effie Maclellan

Numeracy

The fundamental meaning of Quantitative Literacy (QL) as the application of quantitative knowledge or reasoning in new/unfamiliar contexts is problematic because how we acquire knowledge, and transfer it to new situations, is not straightforward. This article argues that in the early development of QL, there is a specific corpus of numerical knowledge which learners need to integrate into their thinking, and to which teachers should attend. The paper is a rebuttal to historically prevalent (and simplistic) views that the terrain of early numerical understanding is little more than simple counting devoid of cognitive complexity. Rather, the knowledge upon which early …

Team-Teaching Experiences Of A Mathematician And A Mathematics Teacher Educator: An Interpretative Phenomenological Case Study, Sarah K. Bleiler

USF Tampa Graduate Theses and Dissertations

In recent years, experts and organizations involved in mathematics education have emphasized the importance of collaboration between mathematicians and mathematics teacher educators as a means of improving the professional preparation of mathematics teachers. While several such collaborative endeavors have been documented in the extant literature, most research reports have focused on the products, rather than the process, of collaboration. The purpose of this interpretative phenomenological case study is to gain an understanding of the lived experiences of a mathematician and a mathematics teacher educator as they engaged in a team-teaching collaboration within the context of prospective secondary mathematics teacher preparation. …