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Improving Access To General Education Via Co-Teaching In Secondary Mathematics Classrooms: An Evaluation Of Utah's Professional Development Initiative, Kaitlin Bundock, Kristen Rolf, Anna Hornberger, Chamy Halliday
Improving Access To General Education Via Co-Teaching In Secondary Mathematics Classrooms: An Evaluation Of Utah's Professional Development Initiative, Kaitlin Bundock, Kristen Rolf, Anna Hornberger, Chamy Halliday
Special Education and Rehabilitation Counseling Faculty Publications
Co-teaching may be a promising strategy to improve inclusive secondary mathematics education in rural schools. Professional development (PD) aids in special and general education teachers' co-teaching implementation, yet little empirical research examines how to effectively train and support co-teachers. In this study we describe one U.S. state's PD model for secondary mathematics co-teaching, evaluate outcomes of the PD on co-teachers' behaviors and beliefs, and examine the impact of co-teaching on students' mathematics achievement. We examined data from observations, surveys, and students' pre/post assessments across nine classes within seven U.S. school districts, including three rural school districts, over 3 years. We …
Cache Code Math: Mathematics Lesson Plans: Fractions, Kimberly Beck, Jessica F. Shumway, Aubrey Rogowski, Umar Shehzad, Jody Clarke-Midura, Mimi Recker
Cache Code Math: Mathematics Lesson Plans: Fractions, Kimberly Beck, Jessica F. Shumway, Aubrey Rogowski, Umar Shehzad, Jody Clarke-Midura, Mimi Recker
Instructional resources
This document entails three 5th grade mathematics lesson plans. The lessons are intended to be implemented in conjunction with the computer lab activities found in "Cache Code Math: Fractions, Functions, & For-Loops." The mathematics focus of these lessons is multiplying fractions, which is paired with the computer coding concepts of functions and for-loops.
Applying Expansive Framing To An Integrated Mathematics-Computer Science Unit, Kimberly Evagelatos Beck, Jessica F. Shumway
Applying Expansive Framing To An Integrated Mathematics-Computer Science Unit, Kimberly Evagelatos Beck, Jessica F. Shumway
Publications
In this research report for the National Council of Teachers of Mathematics 2022 Research Conference, we discuss the theory of Expansive Framing and its application to an interdisciplinary mathematics-computer science curricular unit.
Cache Code Math Mathematics Lesson Plans: Exponents And Repeats, Jody Clarke-Midura, Jessica Shumway, Kimberly Beck, Umar Shehzad, Mimi Recker
Cache Code Math Mathematics Lesson Plans: Exponents And Repeats, Jody Clarke-Midura, Jessica Shumway, Kimberly Beck, Umar Shehzad, Mimi Recker
Instructional resources
This document entails four 5th grade mathematics lesson plans. The lessons are intended to be implemented in conjunction with the computer lab activities found in “Integrated Lesson (CS and Math)”. The mathematics focus of these lessons is exponents as repeated multiplication, which is paired with the computer coding concepts of repeat loop blocks.
Reviewing Tools For Evaluating K-12 Instructional Materials Through An Implementation Lens, Kristen R. Rolf, Sarah E. Pinkelman, Kaitlin Bundock
Reviewing Tools For Evaluating K-12 Instructional Materials Through An Implementation Lens, Kristen R. Rolf, Sarah E. Pinkelman, Kaitlin Bundock
Special Education and Rehabilitation Counseling Faculty Publications
This review examined how state-created tools for evaluating instructional materials support local schools and school districts to address implementation when adopting instructional materials. We followed a priori, systematic procedures to conduct a web search and visit each state’s department of education website in search of instructional materials evaluation tools. After identifying all of the state-created instructional materials evaluation tools in the areas of English/language arts and mathematics, we reviewed the tools and coded them for evidence of alignment with the six implementation indicators defined by the Hexagon Tool (Metz and Louison, The Hexagon Tool: exploring context. Based on Kiser, Zabel, …
The Role Of Gender On The Associations Among Children’S Attitudes, Mathematics Knowledge, Digital Game Use, Perceptions Of Affordances, And Achievement, Kristy Litster, Christina W. Lommatsch, Josh R. Novak, Patricia S. Moyer-Packenham, Jill Ashby, Allison L. Roxburgh, Emma P. Bullock
The Role Of Gender On The Associations Among Children’S Attitudes, Mathematics Knowledge, Digital Game Use, Perceptions Of Affordances, And Achievement, Kristy Litster, Christina W. Lommatsch, Josh R. Novak, Patricia S. Moyer-Packenham, Jill Ashby, Allison L. Roxburgh, Emma P. Bullock
Teacher Education and Leadership Faculty Publications
This study explored associations among children’s prior attitudes, prior mathematics knowledge, and frequency of digital game use, with children’s perceptions of game affordances, and transfer to out-of-game performance when interacting with digital math games, with respect to gender. Participants were 187 children (ages 8–12). An SEM mediation path analysis using MPLUS software showed significant direct effects for all pathways for all children, and significant indirect effects on all pathways for male children and five of six pathways for female children. More favorable attitudes, prior math knowledge, and perception of the helping affordances were associated with increased posttest performance, while increased …
Experiencing Active Mathematics Learning: Meeting The Expectations For Teaching And Learning In Mathematics Classrooms, Kristy Litster, Beth L. Macdonald, Jessica F. Shumway
Experiencing Active Mathematics Learning: Meeting The Expectations For Teaching And Learning In Mathematics Classrooms, Kristy Litster, Beth L. Macdonald, Jessica F. Shumway
Teacher Education and Leadership Faculty Publications
Active learning mathematics classrooms incorporate meaningful activities that emphasize reasoning, thinking and active interaction with mathematics. Current mathematics standards and curricula recommend that Mathematics Teacher Educators (MTEs) use elements of active learning in their mathematics content courses specifically designed for Prospective Teachers (PTs) as they prepare PTs to learn and teach mathematics. However, it can be very difficult for PTs to shift their pedagogical dispositions towards instruction associated with active learning because they typically have not experienced mathematics taught in this way. This article focuses on two instructional practices for MTEs to use with PTs. First, selecting tasks that promote …
Exploring The Phenomenon Of Distance In Children's Interactions With Touchscreen Digital Mathematics Games, Stephen I. Tucker, Patricia S. Moyer-Packenham
Exploring The Phenomenon Of Distance In Children's Interactions With Touchscreen Digital Mathematics Games, Stephen I. Tucker, Patricia S. Moyer-Packenham
Teacher Education and Leadership Faculty Publications
This study examines the construct of distance – the degree of difficulty of interacting with something – as part of activity involving children using touchscreen digital games to learn mathematics. Ten fifth-grade children engaged in video-recorded semi-structured task-based interviews in which they used two touchscreen digital mathematics games on a touchscreen tablet and responded to semi-structured follow-up questions. Qualitative data analysis was iterative, featuring analytic memoing and eclectic coding techniques to identify themes related to distance. In advanced coding stages, magnitude coding was used to characterize the degree of distance present. Findings provide evidence of the presence of distance, changes …
An Examination Of The Role Of First-Year College-Level Mathematics In Stem Field Major Persistence At A Hispanic-Serving Institution, Jaimi Paschal, Amanda Taggart
An Examination Of The Role Of First-Year College-Level Mathematics In Stem Field Major Persistence At A Hispanic-Serving Institution, Jaimi Paschal, Amanda Taggart
Teacher Education and Leadership Faculty Publications
This study examined the influence of mathematics course-taking on Latina/o science, technology, engineering, and mathematics (STEM) major persistence utilizing data from first-year STEM majors at a Hispanic-Serving Institution (HSI). Findings indicated that students who passed a first-term college-level mathematics course had significantly greater odds of persisting in STEM majors than those who did not, demonstrating the importance of early mathematics support to increased STEM major persistence.
Processes And Pathways: How Do Mathematics And Science Partnerships Measure And Promote Growth In Teacher Content Knowledge?, Patricia S. Moyer-Packenham, A. Westenskow
Processes And Pathways: How Do Mathematics And Science Partnerships Measure And Promote Growth In Teacher Content Knowledge?, Patricia S. Moyer-Packenham, A. Westenskow
Teacher Education and Leadership Faculty Publications
Intense focus on student achievement results in mathematics and science has brought about claims that K-12 teachers should be better prepared to teach basic concepts in these disciplines. The focus on teachers' mathematics and science content knowledge has been met by efforts to increase teacher knowledge through funded national initiatives focusing on mathematics and science. The purpose of the present study was to look across projects in the National Science Foundation's Math and Science Partnership Program to determine how partnerships developed processes for measuring growth in teacher content knowledge. Pre- and post-testing was the most common process for measuring growth …
Learning Mathematics With Technology: The Influence Of Virtual Manipulatives On Different Achievement Groups, Patricia S. Moyer-Packenham, J. M. Suh
Learning Mathematics With Technology: The Influence Of Virtual Manipulatives On Different Achievement Groups, Patricia S. Moyer-Packenham, J. M. Suh
Teacher Education and Leadership Faculty Publications
This study examined the influence of virtual manipulatives on different achievement groups during a teaching experiment in four fifth-grade classrooms. During a two-week unit focusing on two rational number concepts (fraction equivalence and fraction addition with unlike denominators) one low achieving, two average achieving, and one high achieving group participated in two instructional treatments (three groups used virtual manipulatives and one group used physical manipulatives). Data sources included pre- and post-tests of students’ mathematical content knowledge and videotapes of classroom sessions. Results of paired samples t-tests examining the three groups using virtual manipulatives indicated a statistically significant overall gain following …
Common Features Of Professional Development Activities For Mathematics And Science Teachers, Patricia S. Moyer-Packenham, J. J. Bolyard, J. Oh, N. I. Cerar
Common Features Of Professional Development Activities For Mathematics And Science Teachers, Patricia S. Moyer-Packenham, J. J. Bolyard, J. Oh, N. I. Cerar
Teacher Education and Leadership Faculty Publications
This study examines professional development activities provided for mathematics and science teachers in the National Science Foundation’s Math and Science Partnership Program by analyzing a cross-sectional sample of over 2000 professional development (PD) activities in the program. Data were gathered from secondary source documents and surveys to examine core and structural features of professional development offerings (i.e. form, collective participation, content, duration and outcomes). The results from this sample of PD activities for mathematics and science teachers were mixed. There was evidence of researchbased practices, including the collective participation by teachers at the same grade levels, a focus on content-specific …
Negotiating The "Relevant" In Culturally Relevant Mathematics, N. Enyedy, J. Danish, Deborah A. Fields
Negotiating The "Relevant" In Culturally Relevant Mathematics, N. Enyedy, J. Danish, Deborah A. Fields
Instructional Technology and Learning Sciences Faculty Publications
One approach to promoting successful engagement of underrepresented groups in mathematics classrooms is Culturally Relevant Pedagogy (CRP). However, it has been argued that CRP risks essentializing students or watering down academic content. We report our analysis of a case study of a group of three 6th grade students who took part in a 6-week mathematics curriculum. This curriculum used Geographical Information System (GIS) maps to engage students in designing personally meaningful research projects while learning about measures of central tendency (i.e., learning statistics). The case study was chosen as representative of how students in this urban classroom (47 total) successfully …
The Assessment Of Mathematics And Science Teacher Quality, Patricia S. Moyer-Packenham, Johnna J. Bolyard, Anastasia Kitsantas, Hana Oh
The Assessment Of Mathematics And Science Teacher Quality, Patricia S. Moyer-Packenham, Johnna J. Bolyard, Anastasia Kitsantas, Hana Oh
Teacher Education and Leadership Faculty Publications
The purpose of this study was to examine the types of instruments being used to document mathematics and science teacher quality characteristics in 48 nationally funded mathematics and science education awards. Each of the 48 projects operationalized teacher quality and determined how to assess it. The main research questions examined the instruments awardees used to gather data on mathematics and science teacher quality, and the main characteristics of teachers examined by awardees. Results showed that awardees most frequently used surveys or questionnaires to assess characteristics of mathematics and science teacher quality. The most common teacher characteristics examined by awardees' included …
A Review Of The Literature On Mathematics And Science Teacher Quality, Johnna J. Bolyard, Patricia S. Moyer-Packenham
A Review Of The Literature On Mathematics And Science Teacher Quality, Johnna J. Bolyard, Patricia S. Moyer-Packenham
Teacher Education and Leadership Faculty Publications
A large body of literature exists that examines teacher quality characteristics and the relationship of indicators of those characteristics to teacher effectiveness. This existing research literature broadly views teacher quality research without illuminating specific areas of teacher quality, such as mathematics and science. In an effort to focus the literature base for researchers and policymakers more narrowly, this review specifically examines teacher quality as it relates to mathematics and science teaching and learning. The review highlights key policy and practitioner perspectives, provides a focused synthesis on current research findings on mathematics and science teacher quality, and suggests areas of research …
Virtual Manipulatives Used By K-8 Teachers For Mathematics Instruction: Considering Mathematical, Cognitive, And Pedagogical Fidelity, Patricia S. Moyer-Packenham, Gwenanne Salkind, Johnna J. Bolyard
Virtual Manipulatives Used By K-8 Teachers For Mathematics Instruction: Considering Mathematical, Cognitive, And Pedagogical Fidelity, Patricia S. Moyer-Packenham, Gwenanne Salkind, Johnna J. Bolyard
Teacher Education and Leadership Faculty Publications
This study examined teachers’ uses of virtual manipulatives across grades K-8 after participating in a professional development institute in which manipulatives and technology were the major resources used throughout all of the activities. Researchers analyzed 95 lesson summaries in which classroom teachers described their uses of virtual manipulatives during school mathematics instruction. The findings indicated that the content in a majority of the lessons focused on two National Council of Teachers of Mathematics (2000a) standards: Number & Operations and Geometry. Virtual geoboards, pattern blocks, base-10 blocks, and tangrams were the applets used most often by teachers. The ways teachers used …
Code Red (Remediation And Enrichment Days): The Complex Journey Of A School And University Partnership's Process To Increase Mathematics Achievement, Patricia S. Moyer-Packenham, K. Dockery, S. Jamieson, J. Ross
Code Red (Remediation And Enrichment Days): The Complex Journey Of A School And University Partnership's Process To Increase Mathematics Achievement, Patricia S. Moyer-Packenham, K. Dockery, S. Jamieson, J. Ross
Teacher Education and Leadership Faculty Publications
This study examined a focused remediation and enrichment effort among school and university faculty to affect the mathematics achievement of a group of third-grade students in a Title 1 elementary school. A total of 87 students participated in the Code RED (Remediation and Enrichment Days) Project. During the Code RED Project, student assessment data were used to identify high-need areas for mathematics instruction. The Code RED Project sessions occurred in small groups over a 10-week period. Pre-and posttest assessments, as well as state-standardized tests, were used for data gathering during the project. Pre-and posttest data indicate that students made significant …
Controlling Choice: Teachers, Students, And Manipulatives In Mathematics Classrooms, Patricia S. Moyer-Packenham, M. Gail Jones
Controlling Choice: Teachers, Students, And Manipulatives In Mathematics Classrooms, Patricia S. Moyer-Packenham, M. Gail Jones
Teacher Education and Leadership Faculty Publications
This research study examines the instructional practices of 10 middle grades teachers related to their use of manipulatives in teaching mathematics and their control of mathematics tools during instruction. Through 40 observations of teaching, 30 interviews, and an examination of 67 written documents (including teachers' plans and records), profiles were developed that describe how teachers used and controlled manipulatives during instruction. Results showed that teachers used a variety of manipulatives and other mathematics tools over the course of the year-long study. Teachers reported using a mathematics tool (manipulative, calculator, or measuring device) in 70% of their lessons, and this self-report …
Are We Having Fun Yet? How Teachers Use Manipulatives To Teach Mathematics, Patricia S. Moyer-Packenham
Are We Having Fun Yet? How Teachers Use Manipulatives To Teach Mathematics, Patricia S. Moyer-Packenham
Teacher Education and Leadership Faculty Publications
Teachers often comment that using manipulatives to teach mathematics is ‘fun!’ Embedded in the word ‘fun’ are important notions about how and why teachers use manipulatives in the teaching of mathematics. Over the course of one academic year, this study examined 10 middle grades teachers’ uses of manipulatives for teaching mathematics using interviews and observations to explore how and why the teachers used the manipulatives as they did. An examination of the participants’ statements and behaviors indicated that using manipulatives was little more than a diversion in classrooms where teachers were not able to represent mathematics concepts themselves. The teachers …
Teaching Mathematics With Technology: Reflecting On Our Progress And Looking Ahead, Patricia S. Moyer-Packenham
Teaching Mathematics With Technology: Reflecting On Our Progress And Looking Ahead, Patricia S. Moyer-Packenham
Teacher Education and Leadership Faculty Publications
No abstract provided.