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Science and Mathematics Education Commons™
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Articles 61 - 90 of 164
Full-Text Articles in Science and Mathematics Education
Metrics And Methods Used To Compare Student Performance Data In Chemistry Education Research Articles, Michael R. Mack, Cory Hensen, Jack Barbera
Metrics And Methods Used To Compare Student Performance Data In Chemistry Education Research Articles, Michael R. Mack, Cory Hensen, Jack Barbera
Chemistry Faculty Publications and Presentations
Quasi-experiments are common in studies that estimate the effect of instructional interventions on student performance outcomes. In this type of research, the nature of the experimental design, the choice in assessment, the selection of comparison groups, and the statistical methods used to analyze the comparison data dictate the validity of causal inferences. Therefore, gathering and reporting validity evidence in causal studies is of utmost importance, especially when conclusions have real policy implications for students and faculty, among other stakeholders. This review examines 24 articles that reported quantitative investigations of the effect of instructional interventions on performance-based outcomes conducted within undergraduate …
We Would If We Could: Examining Culturally Responsive Teaching Self-Efficacy In A Middle School Mathematics Methods Course, Jamaal R. Young, Jemimah L. Young, Brandon L. Fox, Earl R. Levingston Jr., Alana Tholen
We Would If We Could: Examining Culturally Responsive Teaching Self-Efficacy In A Middle School Mathematics Methods Course, Jamaal R. Young, Jemimah L. Young, Brandon L. Fox, Earl R. Levingston Jr., Alana Tholen
Northwest Journal of Teacher Education
Despite mounting evidence of the pedagogical importance of culturally responsive teaching, many teachers do not implement culturally responsive practices in their classrooms. The purpose of this study was to investigate pre-service mathematics teachers’ culturally responsive teaching and outcome expectancy in order to inform teacher preparation in mathematics methods courses. Participants completed the Culturally Responsive Teaching Self-efficacy Scale (CRTSE) and the Culturally Response Teaching Outcome Expectancy (CRTOE) Scale. Results suggest that middle school mathematics teachers were only moderately efficacious in their ability to implement culturally responsive teaching practices, despite strong beliefs in the instructional utility of culturally responsive teaching practices.
Computer-Based Instruction As A Form Of Differentiated Instruction In A Traditional, Teacher-Led, Low-Income, High School Biology Classroom, Cheryl Casey
Dissertations and Theses
In 2015 the U.S. continues to struggle with academic achievement in public schools. Average test scores from 15 year olds taking the Program for International Student Assessment placed the U.S. as 38th out of 71 countries (Drew Devlin, 2017). It is common to discuss elimination of the achievement gap as the single most effective way to improve the U.S.'s mediocre standing among the highest scoring countries in the world in primary and secondary student test scores (McGhee,2004; Flemming 2012). In the broadest sense of the term the "achievement gap" refers to the difference in academic success between different groups of …
Moving Beyond Alpha: A Primer On Alternative Sources Of Single-Administration Reliability Evidence For Quantitative Chemistry Education Research, Regis Komperda, Thomas C. Pentecost, Jack Barbera
Moving Beyond Alpha: A Primer On Alternative Sources Of Single-Administration Reliability Evidence For Quantitative Chemistry Education Research, Regis Komperda, Thomas C. Pentecost, Jack Barbera
Chemistry Faculty Publications and Presentations
This methodological paper examines current conceptions of reliability in chemistry education research (CER) and provides recommendations for moving beyond the current reliance on reporting coefficient alpha (α) as reliability evidence without regard to its appropriateness for the research context. To help foster a better understanding of reliability and the assumptions that underlie reliability coefficients, reliability is first described from a conceptual framework, drawing on examples from measurement in the physical sciences; then classical test theory is used to frame a discussion of how reliability evidence for psychometric measurements is commonly examined in CER, primarily in the form of single-administration reliability …
Using Quenching To Detect Corrosion On Sculptural Metalwork: A Real-World Application Of Fluorescence Spectroscopy, Cory Hensen, Tami Lasseter Clare, Jack Barbera
Using Quenching To Detect Corrosion On Sculptural Metalwork: A Real-World Application Of Fluorescence Spectroscopy, Cory Hensen, Tami Lasseter Clare, Jack Barbera
Chemistry Faculty Publications and Presentations
Fluorescence spectroscopy experiments are a frequently taught as part of upper-division teaching laboratories. To expose undergraduate students to an applied fluorescence technique, a corrosion detection method, using quenching, was adapted from authentic research for an instrumental analysis laboratory. In the experiment, students acquire fluorescence spectra of sensing molecules in the presence of mock sculpture samples and discuss the condition of the sculptures based on the levels of soluble iron detected. This real-world-based experiment allows students the chance to engage with ongoing research and further understand the challenges with early detection of corrosion. Most students successfully completed the experiment, wrote a …
Science In The Learning Gardens: A Study Of Motivation, Achievement, And Science Identity In Low-Income Middle Schools, Dilafruz Williams, Heather Anne Brule, Sybil Schantz Kelley, Ellen A. Skinner
Science In The Learning Gardens: A Study Of Motivation, Achievement, And Science Identity In Low-Income Middle Schools, Dilafruz Williams, Heather Anne Brule, Sybil Schantz Kelley, Ellen A. Skinner
Educational Leadership and Policy Faculty Publications and Presentations
Background: Science in the Learning Gardens (henceforth, SciLG) program was designed to address two well-documented, inter-related educational problems: under-representation in science of students from racial and ethnic minority groups and inadequacies of curriculum and pedagogy to address their cultural and motivational needs. Funded by the National Science Foundation, SciLG is a partnership between Portland Public Schools and Portland State University. The sixth- through eighth-grade SciLG curriculum aligns with Next Generation Science Standards and uses school gardens as the milieu for learning. This provides the context to investigate factors that support success of a diverse student population using the motivational …
The What And Why Of Whole Number Arithmetic: Foundational Ideas From History, Language And Societal Changes, Xu Hu Sun, Christine Chambris, Judy Sayers, Man Keung Siu, Jason Cooper, Jean-Luc Dorier, Sarah Inés González De Lora Sued, Eva Thanheiser, Nadia Azrou, Lynn Mcgarvey, Catherine Houdement, Lisser Rye Ejersbo
The What And Why Of Whole Number Arithmetic: Foundational Ideas From History, Language And Societal Changes, Xu Hu Sun, Christine Chambris, Judy Sayers, Man Keung Siu, Jason Cooper, Jean-Luc Dorier, Sarah Inés González De Lora Sued, Eva Thanheiser, Nadia Azrou, Lynn Mcgarvey, Catherine Houdement, Lisser Rye Ejersbo
Mathematics and Statistics Faculty Publications and Presentations
Increasing globalization encourages assumptions of universalism in teaching and learning, in which cultural and contextual factors are perceived as nonessential. However, our teaching and learning are unavoidably embedded in history, language and culture, from which we draw to organize our educational systems. Such factors can remain hidden but can also provide us with opportunities to gain a deeper understanding of constraints that are taken for granted. This chapter provides a meta-level analysis and synthesis of the what and why of whole number arithmetic (WNA). The summary provides background for the whole volume, which identifies the historical, cultural and linguistic foundations …
Evaluation Of The Influence Of Wording Changes And Course Type On Motivation Instrument Functioning In Chemistry, Regis Komperda, Kathryn N. Hosbein, Jack Barbera
Evaluation Of The Influence Of Wording Changes And Course Type On Motivation Instrument Functioning In Chemistry, Regis Komperda, Kathryn N. Hosbein, Jack Barbera
Chemistry Faculty Publications and Presentations
Increased understanding of the importance of the affective domain in chemistry education research has led to the development and adaptation of instruments to measure chemistry-specific affective traits, including motivation. Many of these instruments are adapted from other fields by using the word ‘chemistry’ in place of other disciplines or more general ‘science’ wording. Psychometric evidence is then provided for the functioning of the new adapted instrument. When an instrument is adapted from general language to specific (e.g. replacing ‘science’ with ‘chemistry’), an opportunity exists to compare the functioning of the original instrument in the same context as the adapted instrument. …
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 …
A Motivational Account Of The Undergraduate Experience In Science: Brief Measures Of Students' Self-System Appraisals, Engagement In Coursework, And Identity As A Scientist, Emily Saxton, Cailin Currie, Ellen A. Skinner, Gwen Shusterman
A Motivational Account Of The Undergraduate Experience In Science: Brief Measures Of Students' Self-System Appraisals, Engagement In Coursework, And Identity As A Scientist, Emily Saxton, Cailin Currie, Ellen A. Skinner, Gwen Shusterman
Psychology Faculty Publications and Presentations
As part of long-standing efforts to promote undergraduates’ success in science, researchers have investigated the instructional strategies and motivational factors that promote student learning and persistence in science coursework and majors. This study aimed to create a set of brief measures that educators and researchers can use as tools to examine the undergraduate motivational experience in science classes. To identify key motivational processes, we drew on self-determination theory (SDT), which holds that students have fundamental needs – to feel competent, related, and autonomous – that fuel their intrinsic motivation. When educational experiences meet these needs, students engage more energetically and …
Investigating Statistics Teachers' Knowledge Of Probability In The Context Of Hypothesis Testing, Jason Mark Asis Dolor
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 …
How Does A Next Generation Science Standard Aligned, Inquiry Based, Science Unit Impact Student Achievement Of Science Practices And Student Science Efficacy In An Elementary Classroom?, Kayla Lee Whittington
How Does A Next Generation Science Standard Aligned, Inquiry Based, Science Unit Impact Student Achievement Of Science Practices And Student Science Efficacy In An Elementary Classroom?, Kayla Lee Whittington
Dissertations and Theses
This study examined the impact of an inquiry based Next Generation Science Standard aligned science unit on elementary students' understanding and application of the eight Science and Engineering Practices and their relation in building student problem solving skills. The study involved 44 second grade students and three participating classroom teachers. The treatment consisted of a school district developed Second Grade Earth Science unit: What is happening to our playground? that was taught at the beginning of the school year. Quantitative results from a Likert type scale pre and post survey and from student content knowledge assessments showed growth in student …
Analyzing The Online Environment: How Are More Effective Teachers Spending Their Time?, Scott Davis Barrentine
Analyzing The Online Environment: How Are More Effective Teachers Spending Their Time?, Scott Davis Barrentine
Dissertations and Theses
Teaching at an online school is so different from classroom teaching that traditional training includes few of the skills necessary to be a successful online teacher. New teachers to an online environment face a steep learning curve in how they'll use the instructional technology, prioritize their time, and establish relationships with their students. The literature has advice for these teachers about effective online practices, but there has been little research to establish which strategies are most effective in motivating students. This pre-experimental study, conducted at an online 6th-12th grade hybrid school, investigated the practices used more often by the most …
Using The Task Analysis Process With Teachers To Uncover Language Demands Within An Eight-Week Ngss Summer Course, Leah Plack
Dissertations and Theses
The state of Oregon has adopted the Next Generation Science Standards as well as the English Language Proficiency standards, both of which affect elementary school teachers. These standards adoptions challenge teachers and professional developers to rethink how they approach science conceptual understanding and language acquisition. The Math Science Partnership K-6 Instructional Specialist Grant made the decision to incorporate a Task Analysis process, which asks the participant to analyze the demands of a content-based task in the domains of content knowledge, analytical skills and language, into six eight-week summer courses focused on the Next Generation Science Standards. A pre and post-assessment …
Stereotype Threat And Effects Of Students' Perception Of Their Math Teacher's Fairness On Their Math Self-Efficacy, Alexis Jocelyn Devigal
Stereotype Threat And Effects Of Students' Perception Of Their Math Teacher's Fairness On Their Math Self-Efficacy, Alexis Jocelyn Devigal
Dissertations and Theses
Gender inequalities perpetuated by educational and occupational segregation may be exacerbated in part by socialization processes that occur in the years leading up to when high school students typically begin considering postsecondary options. Students’ feelings of self-efficacy in certain subjects can be an important factor that informs their decisions to pursue coursework and programs. This study used stereotype theory to understand how students' perceptions of their 9th grade math teacher's fairness affected their 11th grade math efficacy and how this relationship was moderated by the gender of the student and their math teacher. Using the High School Longitudinal Study of …
An Examination Of The Relationship Between Professional Development Providers' Epistemological And Nature Of Science Beliefs And Their Professional Development Programs, Alfonso Garcia Arriola
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 …
Preparing Historically Underserved Students For Stem Careers: The Role Of An Inquiry-Based High School Science Sequence Beginning With Physics, Jon P. Bridges
Preparing Historically Underserved Students For Stem Careers: The Role Of An Inquiry-Based High School Science Sequence Beginning With Physics, Jon P. Bridges
Dissertations and Theses
Improving the STEM readiness of students from historically underserved groups is a moral and economic imperative requiring greater attention and effort than has been shown to date. The current literature suggests a high school science sequence beginning with physics and centered on developing conceptual understanding, using inquiry labs and modeling to allow students to explore new ideas, and addressing and correcting student misconceptions can increase student interest in and preparation for STEM careers.
The purpose of this study was to determine if the science college readiness of historically underserved students can be improved by implementing an inquiry-based high school science …
Open Source Learning Materials For Introductory Chemistry Coursework In General, Organic And Biochemistry: Meeting Education Needs From High School To College, Patricia Flatt
Open Educational Resources Symposium
This panel discussion will focus on the development and pilot implementation of an interactive, multimedia online OER resource for the 100-level General, Organic and Biological Chemistry course series. This OER project has been developed by a team of faculty and upper division undergraduate students. The panel will present their team approach to developing these resources and the software utilized to create video tutorials, interactive PDF files, and online quiz materials. Stumbling blocks and program challenges will also be presented.
Statistics: The Text For Student Success, Larry Shrewsbury
Statistics: The Text For Student Success, Larry Shrewsbury
Open Educational Resources Symposium
My session is for those looking for an open source textbook for Statistics (MTH 243). As a grant recipient the faculty from both Southern Oregon University and Rogue Community College looked at several open source textbooks for our MTH 243 classes. We first looked at the very popular OpenStax Statistics, but the consensus was that it wasn’t as good as the textbook we’ve been using (Michael Sullivan’s Statistics, Informed Decisions using Data, 4th Edition). So we agreed to keep looking at more open source Statistics textbooks. We came across one that doesn’t seem to be very well known, but some …
Converting Calculus Oer Into A Multimedia Text, Alex Jordan, Carly Vollet
Converting Calculus Oer Into A Multimedia Text, Alex Jordan, Carly Vollet
Open Educational Resources Symposium
We have used MathBook XML software to convert two popular OERs for calculus into a multimedia format that
integrates online homework support. We'll demonstrate various features of the output, and the methods we use to edit these OERs. As time permits, we'll peek at some other OER projects that are using MathBook XML.
Our goal is to promote these two particular OERs and also the use of MathBook XML, which, in spite of its name, is an excellent tool for writing OER in all subjects. Potential attendees who are not particularly interested in mathematics may still be interested in the …
A Pilot Study On Methods To Introduce Teachers To New Science Standards, Noelle Frances Garcia Niedo
A Pilot Study On Methods To Introduce Teachers To New Science Standards, Noelle Frances Garcia Niedo
Dissertations and Theses
With the recent adoption of the Next Generation Science Standards in Oregon, there is a great need for teachers to be trained to effectively implement the three dimensions of the Next Generation Science Standards (NGSS) in their teaching. Time and location are the largest constraining factors that affect teacher participation in professional development trainings. To address this constraint, Tryon Creek State Park offered a NGSS professional development training opportunity for teachers that was integrated within a field trip that they took their students on. Before the field trip, teachers were introduced to the NGSS through a set of NGSS pre-field …
Each To Their Own Cure: Faculty Who Teach Course-Based Undergraduate Research Experiences Report Why You Too Should Teach A Cure, Erin E. Shortlidge, Gita Bangera, Sara Brownell
Each To Their Own Cure: Faculty Who Teach Course-Based Undergraduate Research Experiences Report Why You Too Should Teach A Cure, Erin E. Shortlidge, Gita Bangera, Sara Brownell
Biology Faculty Publications and Presentations
Course-based undergraduate research experiences (CUREs) meet national recommendations for integrating research experiences into life science curricula. As such, CUREs have grown in popularity and many research studies have focused on student outcomes from CUREs. Institutional change literature highlights that understanding faculty is also key to new pedagogies succeeding. To begin to understand faculty perspectives on CUREs, we conducted semi-structured interviews with 61 faculty who teach CUREs regarding why they teach CUREs, what the outcomes are, and how they would discuss a CURE with a colleague. Using grounded theory, participant responses were coded and categorized as tangible or intangible, related to …
Rolling Circle Mutagenesis Of Gst-Mcherry To Understand Mutation, Gene Expression, And Regulation, Jessica Cole, Amanda Ferguson, Verónica A. Segarra, Susan Walsh
Rolling Circle Mutagenesis Of Gst-Mcherry To Understand Mutation, Gene Expression, And Regulation, Jessica Cole, Amanda Ferguson, Verónica A. Segarra, Susan Walsh
Biology Faculty Publications and Presentations
Undergraduates are often familiar with textbook examples of human mutations that affect coding regions and the subsequent disorders, but they may struggle with understanding the implications of mutations in the regulatory regions of genes. We have designed a laboratory sequence that will allow students to explore the effect random mutagenesis can have on protein function, expression, and ultimately phenotype. Students design and perform a safe and time-efficient random mutagenesis experiment using error-prone rolling circular amplification of a plasmid expressing the inducible fusion protein glutathione S-transferase (GST)-mCherry. Mutagenized and wild-type control plasmid DNA, respectively, are then purified and transformed into bacteria …
Exploring Mathematical Capital: An Essential Construct For Mathematical Success?, Marla Ann Lasswell Baber
Exploring Mathematical Capital: An Essential Construct For Mathematical Success?, Marla Ann Lasswell Baber
Dissertations and Theses
In the United States students have traditionally struggled with mathematics. Many students leave the educational system with limited mathematical literacy that can adversely affect their success as a college student, a consumer and citizen. In turn, lack of mathematical literacy affects their socioeconomic status. Through improving their mathematical literacy, students can be more successful not only in mathematics but, it seems in many aspects of their lives. Many researchers have defined mathematical literacy; yet, we need to understand more about how mathematical literacy develops. This study explores a model that identifies four key components that seem to be associated with …
Increasing Student Cognitive Engagement In The Math Classroom Through Sustained Professional Development, Eva Thanheiser, Brenda Rosencrans, Kathleen Mary Melhuish, Joshua B. Fagan, Layla Guyot
Increasing Student Cognitive Engagement In The Math Classroom Through Sustained Professional Development, Eva Thanheiser, Brenda Rosencrans, Kathleen Mary Melhuish, Joshua B. Fagan, Layla Guyot
Mathematics and Statistics Faculty Publications and Presentations
We share the case of one teacher engaged in professional development (PD) designed to improve collective argumentation. We present an analysis of two lessons in her classroom, one before and one after her engagement with the professional development. Findings show that the classrooms differ across both teacher support for collective argumentation (requesting ideas and elaboration vs. requesting/acts and methods), and student contributions Oustifications vs. procedures and facts) .
Connecting Teachers’ Buy-Into Professional Development With Classroom Habits And Practices, Joshua B. Fagan, Kathleen Mary Melhuish, Eva Thanheiser, Brenda Rosencrans, Layla Guyot, Jodi I. Fasteen
Connecting Teachers’ Buy-Into Professional Development With Classroom Habits And Practices, Joshua B. Fagan, Kathleen Mary Melhuish, Eva Thanheiser, Brenda Rosencrans, Layla Guyot, Jodi I. Fasteen
Mathematics and Statistics Faculty Publications and Presentations
While professional development (PD) provides an opportunity for teachers to cultivate skills that are consistent with best practices in the field, it is their buy-into the PD that ultimately determines the effectiveness of the PD. We examined how teacher buy-in affected the classroom habits and practice of four elementary teachers who took part in a district wide PD. Using baseline and first-year implementation video recordings, in conjunction with frameworks for discourse analysis, cognitive demand, and tools built specifically to measure PD implementation, we found that varying combinations of teachers' beliefs served as a mitigating factor for PD implementation.
The Effectiveness Of Participation In A Project-Based Learning Project On At-Risk Student Self-Efficacy, Benjamin Aaron Weber
The Effectiveness Of Participation In A Project-Based Learning Project On At-Risk Student Self-Efficacy, Benjamin Aaron Weber
Dissertations and Theses
Project-based learning is a multifaceted approach to teaching in which students explore real-world problems and challenges while working in small collaborative groups. Project-based learning is active and engaging and drives students to obtain a deeper knowledge of the subjects they're studying, and students develop confidence and self-direction as they move through both team-based and independent work. This project endeavored to assess the effect of participation in a project-based learning (PBL) activity of the Wind and Oar Boat School's curriculum on the self-efficacy of at-risk high school students. Twenty students participated in the program for both math and applied arts credits …
Conventionalizing And Axiomatizing In A Community College Mathematics Bridge Course, Mark Alan Yannotta
Conventionalizing And Axiomatizing In A Community College Mathematics Bridge Course, Mark Alan Yannotta
Dissertations and Theses
This dissertation consists of three related papers. The first paper, Rethinking mathematics bridge courses--An inquiry model for community colleges, introduces the activities of conventionalizing and axiomatizing from a practitioner perspective. In the paper, I offer a curricular model that includes both inquiry and traditional instruction for two-year college students interested in mathematics. In particular, I provide both examples and rationales of tasks from the research-based Teaching Abstract Algebra for Understanding (TAAFU) curriculum, which anchors the inquiry-oriented version of the mathematics bridge course.
The second paper, the role of past experience in creating a shared representation system for a mathematical operation: …
Connecting To Nature, Community, And Self: A Conservation Corps Approach To Re-Engaging At-Risk Youth In Science Education, Sara Jo Linden
Connecting To Nature, Community, And Self: A Conservation Corps Approach To Re-Engaging At-Risk Youth In Science Education, Sara Jo Linden
Dissertations and Theses
The social and environmental challenges of the coming decades will require that individuals possess environmental literacy: the understanding of natural systems combined with a sense of care for the earth, and the confidence and competency to act on its behalf. At the same time, disengaged youth need education environments that foster belonging and promote affective outcomes. The youth conservation corps model provides a natural context for engaging academically at-risk youth in environmental science education, while fostering connection to nature and student self-efficacy in ways that are experiential, relevant, and relationship-based. The focus of this study was a conservation corps program …
Development Of Middle School Teachers' Knowledge And Pedagogy Of Justification: Three Studies Linking Teacher Conceptions, Teacher Practice, And Student Learning, Carolyn Mccaffrey James
Development Of Middle School Teachers' Knowledge And Pedagogy Of Justification: Three Studies Linking Teacher Conceptions, Teacher Practice, And Student Learning, Carolyn Mccaffrey James
Dissertations and Theses
Justification and argumentation have been identified as important mathematical practices; however, little work has been done to understand the knowledge and pedagogy teachers need to support students in these ambitious practices. Data for this research was drawn from the Justification and Argumentation: Growing Understanding in Algebraic Reasoning (JAGUAR) project. JAGUAR was a multi-year research and professional development project in which 12 middle school math teachers and a group of researchers explored the knowledge and pedagogy needed to support student justifications. This dissertation consists of three case study analyses. The first paper describes the development of teacher conceptions of justification, including …