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Teacher Education and Professional Development

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Full-Text Articles in Science and Mathematics Education

Can Addressing Language Skills For Fifth Grade Ells In A Multiplication Curriculum Help Address The Achievement Gap In Math? A Multiplication Workbook For Big Kids, Michelle Douglas Dec 2017

Can Addressing Language Skills For Fifth Grade Ells In A Multiplication Curriculum Help Address The Achievement Gap In Math? A Multiplication Workbook For Big Kids, Michelle Douglas

Master's Projects and Capstones

Currently, the state of California has 1,332,405 students from grades k-12 who speak a language other than English at home (Caledfacts, 2016). When I started my first year teaching fifth grade with 95% of my students being English language learners (ELLs), I was surprised to see an achievement gap of two to three years in my student’s reading and math skills. I found that my student’s developmental language and math skills contributed to a lack of engagement during math time. Upon further research, I found that these three factors play a role in the wide achievement gaps between ELLs and …


Examining The Understanding Of Inquiry-Based Learning And Teaching Among Undergraduate Teachers And Students, Maren Hudson Dec 2017

Examining The Understanding Of Inquiry-Based Learning And Teaching Among Undergraduate Teachers And Students, Maren Hudson

Electronic Theses and Dissertations

One of the main aims of inquiry is to engage students as active, not passive, participants in science. The purpose of this study is to describe science educators’ and students’ views about inquiry-based instruction in order to better understand and improve implementation of evidence-based teaching strategies. Inquiry-based techniques have been shown to improve student understanding of scientific concepts, yet, there continue to be challenges in implementing these techniques. This research project utilizes Q Methodology, a research method that captures both common and disparate measures of subjectivity, to identify commonalities and defining viewpoints about inquiry-based teaching and learning. Three significantly different …


Can A Three-Day Training Focusing On The Nature Of Science And Science Practices As They Relate To Mind In The Making Make A Difference In Preschool Teachers' Self-Efficacy Engaging In Science Education?, Colleen Meacham Nov 2017

Can A Three-Day Training Focusing On The Nature Of Science And Science Practices As They Relate To Mind In The Making Make A Difference In Preschool Teachers' Self-Efficacy Engaging In Science Education?, Colleen Meacham

Dissertations and Theses

As technology and our world understanding develop, we will need citizens who are able to ask and answer questions that have not been thought of yet. Currently, high school and college graduates entering the workforce demonstrate a gap in their ability to develop unique solutions and fill the current technology-driven jobs. To address this gap, science needs to be prioritized early in children's lives. The focus of this research was to analyze a science training program that would help pre-school teachers better understand Mind in the Making life skills, the nature of science, science practices, and improve their self-efficacy integrating …


Investigating Statistics Teachers' Knowledge Of Probability In The Context Of Hypothesis Testing, Jason Mark Asis Dolor Oct 2017

Investigating Statistics Teachers' Knowledge Of Probability In The Context Of Hypothesis Testing, Jason Mark Asis Dolor

Dissertations and Theses

In the last three decades, there has been a significant growth in the number of undergraduate students taking introductory statistics. As a result, there is a need by universities and community colleges to find well-qualified instructors and graduate teaching assistants to teach the growing number of statistics courses. Unfortunately, research has shown that even teachers of introductory statistics struggle with concepts they are employed to teach. The data presented in this research sheds light on the statistical knowledge of graduate teaching assistants (GTAs) and community college instructors (CCIs) in the realm of probability by analyzing their work on surveys and …


An Analysis Of The Model And Enacted Curricula For A History Of Science Course In A Nationwide Teacher Education Program, Noushin Nouri Aug 2017

An Analysis Of The Model And Enacted Curricula For A History Of Science Course In A Nationwide Teacher Education Program, Noushin Nouri

Graduate Theses and Dissertations

The UTeach program, a national model for undergraduate teacher preparation, includes Perspectives on Science and Mathematics, a class designed to share content about the History of Science (HOS) with preservice teachers. UTeach provides a model curriculum as a sample for instructors teaching Perspectives. The purpose of this study was (a) to describe and evaluate the model science lessons provided; (b) to compare the relationship of the various versions of the Perspectives class with the model curriculum; (c) to determine the factors that led to instructors’ success or failure in implementation of the model curriculum; and (d) to highlight the instructors’ …


The Effect Of Instructional Strategies On Math Anxiety And Achievement: A Mixed Methods Study Of Preservice Elementary Teachers, Janelle K. Lorenzen Aug 2017

The Effect Of Instructional Strategies On Math Anxiety And Achievement: A Mixed Methods Study Of Preservice Elementary Teachers, Janelle K. Lorenzen

Dissertations

This study addressed how different instructional strategies affected preservice elementary teachers’ levels of math anxiety and their achievement in a math content course while considering descriptions of their experiences in the course in relation to their math anxiety and achievement. The instructional strategies used were traditional teaching methods and inquiry-based learning (IBL). A mixed methods embedded design was used in which the major design of the study is a nonequivalent control group design, where the collection of data occurred before, during, and after the intervention. There were 103 participants who were elementary education preservice teachers with 58 of them being …


A Study Of Strengthening Secondary Mathematics Teachers’ Knowledge Of Statistics And Probability Via Professional Development, Lina Devaul Aug 2017

A Study Of Strengthening Secondary Mathematics Teachers’ Knowledge Of Statistics And Probability Via Professional Development, Lina Devaul

UNLV Theses, Dissertations, Professional Papers, and Capstones

A professional development program (PSPD) was implemented to improve in-service secondary mathematics teachers’ content knowledge, pedagogical knowledge, and self-efficacy in teaching secondary school statistics and probability. Participants generated a teaching resource website at the conclusion of the PSPD program. Participants’ content knowledge change and self-efficacy change were measured. After PSPD, three participants were selected to represent three types of change. Teachers’ classroom instructions were video-taped and analyzed to explore the enactment of PSPD components, such as activities and concepts. Interviews were conducted to assess factors that facilitated teachers’ change and the enactment of PSPD components. Preservice teachers who majored in …


Experience Of The Neophyte Science Teachers: Through Their Eyes, David Thornton Jul 2017

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 …


Teachers’ Perceptions Of Educational Games That Keep Score Of Cooperative Performances, Theodore Alden Wohlfarth Jul 2017

Teachers’ Perceptions Of Educational Games That Keep Score Of Cooperative Performances, Theodore Alden Wohlfarth

Dissertations

The scoring systems used in traditional sports and games are founded on the zero-sum premise that players are on opposite sides and one side can win only if the other side loses. These scoring systems may be effective at nurturing zero-sum mindsets and providing data for assessing performance in win-lose relationships. If so, games that use different scoring systems can be used to facilitate the development of collaborative mindsets, nurture win-win skills between diverse groups, and enable objective self-assessment of performances in non-zero-sum events when engaging with those on “other sides.” Although economic game theory has rich reservoirs of research …


Analysis Of A Stem Education Professional Development Conference For Pre-Service Educators, Keeta Holmes, Pamela Atkinson-Hamilton, Tiffanni Durham, Gloria Hardrict-Ewing, Deborah Heisler, Christina Hughes, Rosalinda Williams, Lane Walker, Christopher Young-El, Amy Dooley Jul 2017

Analysis Of A Stem Education Professional Development Conference For Pre-Service Educators, Keeta Holmes, Pamela Atkinson-Hamilton, Tiffanni Durham, Gloria Hardrict-Ewing, Deborah Heisler, Christina Hughes, Rosalinda Williams, Lane Walker, Christopher Young-El, Amy Dooley

Dissertations

Science, technology, engineering, and mathematics (STEM) disciplines are attracting increased attention in education. The iSTEM 2017 conference was a professional development program designed to acquaint pre-service teachers with interdisciplinary, research-based STEM instructional strategies that can transform traditional classroom instruction into dynamic learning environments.

The STEM Education Scholars (STEMES) is a Learning Community of Practice, housed in the College of Education, at a midsized mid-western public research university. The program of study focused on designing a professional development program for future Pre-K12 teachers. The iSTEM 2017 conference presented by the STEMES Community of Practice sought to inform pre-service teachers of STEM …


An Examination Of The Relationship Between Professional Development Providers' Epistemological And Nature Of Science Beliefs And Their Professional Development Programs, Alfonso Garcia Arriola Jun 2017

An Examination Of The Relationship Between Professional Development Providers' Epistemological And Nature Of Science Beliefs And Their Professional Development Programs, Alfonso Garcia Arriola

Dissertations and Theses

In the last twenty years in US science education, professional development has emphasized the need to change science instruction from a direct instruction model to a more participatory and constructivist learning model. The result of these reform efforts has seen an increase in science education professional development that is focused on providing teaching strategies that promote inquiry learning to learn science content. Given these reform efforts and teacher responses to professional development, research seems to indicate that whether teachers actually change their practice may depend on the teachers' basic epistemological beliefs about the nature of science. The person who builds …


Perspectives On Emotional Climate Associated With Classroom Interactions, Hiro Komatsubara Jun 2017

Perspectives On Emotional Climate Associated With Classroom Interactions, Hiro Komatsubara

Dissertations, Theses, and Capstone Projects

It is difficult for students to learn and teachers to teach in today’s classroom environment especially when events involving strong emotional contradictions occur in classrooms. Such events may elicit emotions that negative affect, teaching, learning and wellness. Various studies show that high levels of negative emotions create stressful classroom environments, and that a positive Emotional Energy (EE) in the classroom encourages attentiveness, enthusiasm and interest. Therefore, it is highly likely that creating calm learning environments by ameliorating classroom participants’ emotional intensity and increasing their mindfulness and awareness will produce positive outcomes. Using both quantitative and qualitative measures this study examines …


An Investigation Of Turkish Middle School Science Teachers’ Pedagogical Orientations Towards Direct And Inquiry Instructional Approaches, Selcuk Sahingoz Jun 2017

An Investigation Of Turkish Middle School Science Teachers’ Pedagogical Orientations Towards Direct And Inquiry Instructional Approaches, Selcuk Sahingoz

Dissertations

One of the most important goals of science education is preparing effective science teachers which includes the development of a science pedagogical orientation. Helping in-service science teachers improve their orientations toward science teaching begins with identifying their current orientations. While there are many aspects of an effective science teaching orientation, this study specifically focuses on effective pedagogy. The interest of this study is to clarify pedagogical orientations of middle school science teachers in Turkey toward the teaching of science conceptual knowledge. It focuses on what instructional preferences Turkish middle school science teachers have in theory and practice.

The purpose of …


Impacts Of Professional Development In Integrated Stem Education On Teacher Self-Efficacy, Outcome Expectancy, And Stem Career Awareness, John Geoffrey Knowles May 2017

Impacts Of Professional Development In Integrated Stem Education On Teacher Self-Efficacy, Outcome Expectancy, And Stem Career Awareness, John Geoffrey Knowles

Purdue Polytechnic Doctoral Dissertations

This research analyzed the effects of teacher professional development and lesson implementation in integrated Science, Technology, Engineering, and Math (STEM) on: 1.) Teacher self-efficacy and their confidence to teach specific STEM subjects; 2.) Teaching outcome expectancy beliefs concerning the impact of actions by teachers on student learning; and 3.) Teacher awareness of STEM careers. High school science and technology education teachers participating in the Teachers and Researchers Advancing Integrated Lessons in STEM (TRAILS) project experimental group attended a ten-day summer professional development institute designed to educate teachers in using an integrated STEM education model to implement integrated STEM lessons. The …


A Situated Perspective Of Rural Elementary School Mathematics Teachers’ Planning Practices, Ashley Paige Walther May 2017

A Situated Perspective Of Rural Elementary School Mathematics Teachers’ Planning Practices, Ashley Paige Walther

Doctoral Dissertations

Rural areas are home to approximately 20% of the population in the United States. Schools that serve rural populations are geographically isolated and lack resources when compared to urban and suburban schools. Educators who serve students in rural schools are often born and raised in the same system in which they ultimately work. Elementary teachers are typically certified as generalists. As a result, many report a lack of confidence or proficiency in mathematics. This dissertation offers an analysis of the planning practices of rural elementary school mathematics teachers in a district located in the southeastern United States. The study sought …


Claim, Evidence, And Reasoning: Evaluation Of The Use Of Scientific Inquiry To Support Argumentative Writing In The Middle School Science Classroom, Gabriela Mastro May 2017

Claim, Evidence, And Reasoning: Evaluation Of The Use Of Scientific Inquiry To Support Argumentative Writing In The Middle School Science Classroom, Gabriela Mastro

Dissertations, Masters Theses, Capstones, and Culminating Projects

In light of the essential science and engineering practices identified by the Next Generation Science Standards (NGSS), this study focuses on the specific science and engineering practice, "engage in argument from evidence," and how classroom practices can serve to strengthen this skill (National Research Council, 2012, p. 71). The NGSS focus on inquiry necessitates students’ use of argument, particularly in writing, to communicate their knowledge and scientific findings and to develop an understanding of scientific practice. The purpose of this teacher action research study is to evaluate the influence of inquiry-based argumentative writing exercises, based on the Argument Driven Inquiry …


High School Student Concussion Recovery Program: Teacher Involvement In Student Academic Transitions To Classroom And To Sports, Brittany Diego May 2017

High School Student Concussion Recovery Program: Teacher Involvement In Student Academic Transitions To Classroom And To Sports, Brittany Diego

Dissertations, Masters Theses, Capstones, and Culminating Projects

Many symptoms of concussions can substantially interfere with the cognitive abilities, and skills students use in school. Although students may have similar symptoms, they experience concussions differently. Students returning to the classroom from a concussion often have different needs and abilities.

Research shows that a formal, individualized protocol to treat suspected concussions, both academically and physically, is vital to the successful recovery of each student. Much research is available on concussions for professional athletes, specifically related to recovery and returning to their sport. However, there is little research about high school students regarding concussions. Concussion recovery programs for high school …


Instructional Teacher Job Resources And Student Achievement In Mathematics., Amy Stokes-Levine May 2017

Instructional Teacher Job Resources And Student Achievement In Mathematics., Amy Stokes-Levine

Electronic Theses and Dissertations

Research shows that teachers who are supported with job resources are more engaged regardless of the level of demands (Klusmann et al., 2008). Additionally, teachers who are engaged with their work are less likely to report their intention to leave the teaching profession (Klassen et al., 2012), which is particularly important for mathematics teachers who are in high demand (Sutcher, Darling-Hammond, & Carver-Thomas, 2016). Supporting employees with job resources is a commonly accepted practice in many professional fields (e.g., Christian, Garza, & Slaughter, 2011), yet is not a common practice in education (e.g., Bidwell, 2013; Gewertz, 2014; Layton, 2015; Rentner …


Examining The Affordances Of Dual Cognitive Processing To Explain The Development Of High School Students’ Nature Of Science Views, Luke Jackson May 2017

Examining The Affordances Of Dual Cognitive Processing To Explain The Development Of High School Students’ Nature Of Science Views, Luke Jackson

UNLV Theses, Dissertations, Professional Papers, and Capstones

This mixed method study was aimed at examining the influence of dual processing (Type 1 and Type 2 thinking) on the development of high school students’ nature of science (NOS) views. Type 1 thinking is intuitive, experiential, and heuristic. Type 2 thinking is rational, analytical, and explicit. Three research questions were asked: (1) Do the experiential process (Type 1) and the logical process (Type 2) influence the development of students’ NOS views? (2) If there is an influence on students’ NOS views, then what is the nature of relationship between the experiential process (Type 1) and the development of NOS …


Inclusive Teaching Strategies: An Evaluation Of Course Structure And Summative Assessment In Introductory Biology, Oluwaseun O. Agboola May 2017

Inclusive Teaching Strategies: An Evaluation Of Course Structure And Summative Assessment In Introductory Biology, Oluwaseun O. Agboola

Electronic Theses and Dissertations

Several active learning strategies have been used when increasing the structure of a course as increasing course structure has been known to improve student learning in introductory STEM courses. Much has been studied on the value of frequent formative assessment; however, few studies have evaluated the effective modes of delivering summative assessment. This study examines the use of summative assessment as an inclusive teaching practice to improve first generation college student success in introductory biology and also uses faculty surveys to find out how instructors structure their introductory biology course and why they are structured that way. Final exams were …


Exploring Mathematics Teacher Education Fieldwork Experiences Through Storytelling, Melody Jeane Elrod Feb 2017

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; …


Caracterización De Las Competencias Matemáticas Por Medio De La Práctica Reflexiva De Profesores De La Educación Básica Secundaria Del Instituto Técnico Ambiental San Mateo De Yopal, Casanare, Sonia Emilce Pineda, Lida Yanira Castillo, Andrés Fernando Monroy González Feb 2017

Caracterización De Las Competencias Matemáticas Por Medio De La Práctica Reflexiva De Profesores De La Educación Básica Secundaria Del Instituto Técnico Ambiental San Mateo De Yopal, Casanare, Sonia Emilce Pineda, Lida Yanira Castillo, Andrés Fernando Monroy González

Maestría en Docencia (Yopal)

Esta investigación se llevó a cabo en el Instituto Técnico Ambiental, San Mateo de Yopal, tiene el objetivo de Caracterizar las competencias matemáticas como resultado de la práctica reflexiva de profesores de Educación Básica Secundaria, con la intención de mejorar la calidad de la práctica pedagógica de los profesores y fortalecer el desarrollo de las Competencias Matemáticas. La investigación se realizó desde el enfoque cualitativo con un diseño de Investigación Acción, que en el plan de acción se validó una secuencia didáctica para el desarrollo de competencias matemáticas y se implementó un plan de formación de profesores para que, por …


Instructional Coaching And Its Effects On Middle School Mathematics Teachers’ Perceptions Of Coaching And Content Knowledge: A Mixed Methods Study, Jamie-Marie Miller Jan 2017

Instructional Coaching And Its Effects On Middle School Mathematics Teachers’ Perceptions Of Coaching And Content Knowledge: A Mixed Methods Study, Jamie-Marie Miller

Theses and Dissertations--Education Sciences

Instructional coaching has been a professional learning opportunity that many school districts have employed to support teacher practice. Pairing instructional coaching with on-going workshops is a relatively new approach to professional development. Participants for this study include fourteen middle school teachers that teach either mathematics or collaborate with special needs students. This study examines the effect that pairing instructional coaching with on-going workshops (with a primary focus on proportional reasoning) has on participants’ content knowledge and their perceptions of coaching. Drawing on Wenger’s community of practice theory and post-modern theory of power, this study employs mixed-methods design. Pre- and post-tests …


The Perceptions Of Stem From Eighth-Grade African-American Girls In A High Minority Middle School, Lachanda Nichole Hare Jan 2017

The Perceptions Of Stem From Eighth-Grade African-American Girls In A High Minority Middle School, Lachanda Nichole Hare

Education Dissertations and Projects

Even with the existence of STEM curriculum and STEM programs that target women and minorities, African-American females still lag behind other ethnic groups in STEM fields. Reasons for the underrepresentation of females in STEM fields can be traced back to the early years of schooling. The purpose of this study was to identify the factors that impact African-American females’ perspectives of STEM subjects and STEM careers. An explanatory sequential mixed-methods approach was used for data collection with a survey, focus group, and interview. Forty male (N=12) and female (N=28) students from different ethnic groups were surveyed. The focus group and …


Mathematics Teachers' Beliefs And Mathematical Knowledge For Teaching: How Teachers' Mkt Shifts In Planning And Impacts Their Beliefs And Instructional Practice, Paul Conley Jan 2017

Mathematics Teachers' Beliefs And Mathematical Knowledge For Teaching: How Teachers' Mkt Shifts In Planning And Impacts Their Beliefs And Instructional Practice, Paul Conley

Electronic Theses and Dissertations

In an effort to understand how a teacher developed Mathematical Knowledge for Teaching and how that knowledge can shift teacher's beliefs and instructional practice, I worked with a teacher to deeply plan and implement six mathematical lessons.

The research suggests that planning can be a vehicle to develop a teacher's Mathematical Knowledge for Teaching. In addition, as a teacher's Mathematical Knowledge for Teaching started to develop through lesson planning, the teacher's beliefs about her own knowledge of mathematics started to increase which started to shift the teacher's instructional practice.

This combination of a stronger Mathematical Knowledge for Teaching, self confidence …


Towards A Unified Theory Of Engineering Education, Oscar Humberto Salcedo Jan 2017

Towards A Unified Theory Of Engineering Education, Oscar Humberto Salcedo

Open Access Theses & Dissertations

STEM education is an interdisciplinary approach to learning where rigorous academic concepts are coupled with real-world lessons and activities as students apply science, technology, engineering, and mathematics in contexts that make connections between school, community, work, and the global enterprise enabling STEM literacy (Tsupros, Kohler and Hallinen, 2009). The purpose of the Dissertation is to develop a unified theory of engineering education based on philosophies of mathematics, science, technology & engineering, and engineering education. Using purposive sampling methods, the Thesis constructs "representative" philosophy statements from the STEM fields based on the criteria of Constructivism, Progressivism, and/or Pragmatism. These statements are …


One-To-One Technology In Middle School Science, Jenny A. Finnegan Jan 2017

One-To-One Technology In Middle School Science, Jenny A. Finnegan

Projects

This paper reports on the ongoing digital implementation of one-to-one digital devices in the middle school science classroom, examining existing goals, the history and use, and offers a professional development course designed to engage teachers to improve their practices. This work examines teacher efficacy in the classroom and highlights teachers’ views on the emerging push for one-to-one student centered learning. Results suggest the importance of methodologies that increase student achievement and reduce teacher driven curriculum. The combination of teacher engagement through professional development and practice promote both teacher and students’ interest and learning goals with the use of one-to-one devices, …


Cultural Sensitivity In The Performance-Based Learning Environment, Monique Matleen Hazzard-Robinson Jan 2017

Cultural Sensitivity In The Performance-Based Learning Environment, Monique Matleen Hazzard-Robinson

Walden Dissertations and Doctoral Studies

The Georgia Department of Education requires students to earn 4 course credits in the area of mathematics in order to graduate from high school. Academic success for mathematics students in a school district in southern Georgia has been encumbered because teachers lack cultural competency in mathematics instruction, which has hindered minority students from developing reasoning, critical analysis, and problem-solving skills needed to earn these required math credits. The purpose of this project study was to examine teachers' perceptions of using culturally relevant teaching strategies to influence the academic performance of minority students in the mathematics classroom. The conceptual framework was …


Connections Between Science Teachers' Professional Development Preferences And Their Teaching Practices And Beliefs, Jessica Marie Wayson Jan 2017

Connections Between Science Teachers' Professional Development Preferences And Their Teaching Practices And Beliefs, Jessica Marie Wayson

Honors Program Theses

The effect of professional development preference, in relation to its effect on teacher practices and beliefs, has not been well studied. In order to better understand this dynamic, a nationwide online survey was developed and sent to secondary science teachers. The findings of this survey indicate a relationship does exist, but only within specific practices. During analysis, teachers were grouped by preference of professional development type including collaboration, reflection, conducting research, and professional development (such as conferences and workshops). Significant differences emerged from each group and implications for effective professional development practices will be addressed.


Instructional Strategies Used By Effective Mathematics Teachers In Adventist Elementary Schools In Florida: An Mqi Analysis, Anna Adkins Jan 2017

Instructional Strategies Used By Effective Mathematics Teachers In Adventist Elementary Schools In Florida: An Mqi Analysis, Anna Adkins

Dissertations

The Problem

Teaching mathematics can be a difficult task. United States students on comparative international mathematics assessments consistently rank near the test averages. On a national assessment, commonly called the Nation’s Report Card, more than half of American students rank as ‘not proficient’ in mathematics. The purpose of this study was to describe the strategies used by teachers with at least average mathematical knowledge for teaching. This was evidenced by their scores on the Mathematical Knowledge Test for Teaching (MKT). In addition to teacher knowledge, the study sample was selected from among schools where the five-year average was above the …