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Science and Mathematics Education Commons™
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- Mathematics -- Study and teaching (Elementary) (10)
- Mathematical ability (9)
- Effective teaching (8)
- Mathematics teachers--Training of (8)
- Mathematics -- Study and teaching (3)
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- Mathematics -- Study and teaching -- Standards (2)
- Curriculum planning -- United States (1)
- Differential equations -- Study and teaching (Higher) (1)
- Discourse analysis (1)
- Education -- Standards (1)
- Educational evaluation (1)
- Fractions--Study and teaching (1)
- Inquiry-based learning (1)
- Interaction analysis in education (1)
- Mathematics teachers -- In-service training -- Evaluation (1)
- Multiplication (1)
- Next Generation Science Standards (Education) (1)
- Student teachers -- Training of (1)
Articles 1 - 15 of 15
Full-Text Articles in Science and Mathematics Education
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 …
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 Language Of Professional Development Leaders, Andrew Riffel, Kathleen Mary Melhuish, Eva Thanheiser
The Language Of Professional Development Leaders, Andrew Riffel, Kathleen Mary Melhuish, Eva Thanheiser
Mathematics and Statistics Faculty Publications and Presentations
Leaders in professional development (PD) initiatives (such as facilitators, principals, coaches) hold a great deal of power in their language, carrying the ability to manage meaning and frame experiences. Rather than working from interview data, this report addresses a gap in leadership research by examining the words used by leaders in their on-the-job interactions. We present an initial framework for capturing leadership language qualities at the macro level (framing the PD’s purpose) and micro level (rhetorical crafting in terms of metaphor usage, pronoun choice, and other language selections). Our data come from a larger project evaluating the efficacy of a …
Measuring Fidelity Of Implementation In A Large-Scale Professional Development Efficacy Study, Kathleen Mary Melhuish, Eva Thanheiser, Brenda Rosencrans
Measuring Fidelity Of Implementation In A Large-Scale Professional Development Efficacy Study, Kathleen Mary Melhuish, Eva Thanheiser, Brenda Rosencrans
Mathematics and Statistics Faculty Publications and Presentations
Fidelity of implementation is the essential link between professional development (PD) experiences and changes in outcomes. Yet, as a field we have few measures available to directly look at implementation. In this poster, we present our preliminary work measuring teachers’ implementation of a research-based PD.
Teacher Noticing Of Justification: Attending To The Complexity Of Mathematical Content And Practice, Kathleen Mary Melhuish, Eva Thanheiser, Jodi I. Fasteen, Julie Fredericks
Teacher Noticing Of Justification: Attending To The Complexity Of Mathematical Content And Practice, Kathleen Mary Melhuish, Eva Thanheiser, Jodi I. Fasteen, Julie Fredericks
Mathematics and Statistics Faculty Publications and Presentations
In this report, we will consider in-service elementary school teachers' noticing of the mathematical practice: justification. This study is part of a larger project evaluating the efficacy of a three year professional development built around attending to student thinking and promoting mathematical habits of justifying, generalizing and making sense. Noticing just¢cation is a complex task requiring attention to both the (1) mathematical content and strategies and (2) the nature of the argument provided by a student. We have found that teachers' struggle to attend to both aspects simultaneously and offer a framework for considering teacher noticing of mathematical practices.
A Written Instrument For Assessing Students’ Units Coordination Structures, Anderson Norton, Steven Boyce, Nathan Phillips, Tessa Anwyll, Catherine Ulrich, Jesse L. M. Wilkins
A Written Instrument For Assessing Students’ Units Coordination Structures, Anderson Norton, Steven Boyce, Nathan Phillips, Tessa Anwyll, Catherine Ulrich, Jesse L. M. Wilkins
Mathematics and Statistics Faculty Publications and Presentations
Units coordination refers to students’ abilities to create units and maintain their relationships with other units that they contain or constitute. In recent research, units coordination has arisen as a key construct that mediates opportunities for student learning across several domains of mathematics, including fractions knowledge and algebraic reasoning. To date, assessments of students’ stages of units coordinating ability have relied upon clinical interviews or teaching experiments whose time-intensive nature precludes opportunities for conducting large-scale studies. We introduce a written instrument that teachers and researchers can use with large populations of students. We report on the reliability and validity of …
Prospective Elementary Mathematics Teacher Content Knowledge: What Do We Know, What Do We Not Know, And Where Do We Go?, Eva Thanheiser, Christine Browning, Alden Edson, Jane-Jane Lo, Ian Whitacre, Dana Olanoff, Crystal Morton
Prospective Elementary Mathematics Teacher Content Knowledge: What Do We Know, What Do We Not Know, And Where Do We Go?, Eva Thanheiser, Christine Browning, Alden Edson, Jane-Jane Lo, Ian Whitacre, Dana Olanoff, Crystal Morton
Mathematics and Statistics Faculty Publications and Presentations
The authors reviewed 112 research studies from 1978 to 2012 on prospective elementary teachers' content knowledge in five content areas: whole numbers and operations, fractions, decimals, geometry and measurement, and algebra. Looking across these studies, this final paper identifies the trends and common themes in terms of the counts and types of studies and commonalities among findings. Analyses of the counts show that the number of articles published each year focusing on prospective teacher (PT) content knowledge is increasing. Most articles across the content areas show that PTs tend to rely on procedures rather than concepts. However, the focus of …
Mathematical Content Knowledge For Teaching Elementary Mathematics: A Focus On Whole-Number Concepts And Operations, Eva Thanheiser, Ian Whitacre, George J. Roy
Mathematical Content Knowledge For Teaching Elementary Mathematics: A Focus On Whole-Number Concepts And Operations, Eva Thanheiser, Ian Whitacre, George J. Roy
Mathematics and Statistics Faculty Publications and Presentations
This report represents part of a recent effort to summarize the state of knowledge of prospective elementary teachers' (PTs') mathematics content knowledge and the development thereof. Extensive reviews of the research literature were conducted by a recent PME-NA Working Group across various content areas. This report focuses on whole number and operations. Research in this area is scarce. What we do know from the literature is that PTs' knowledge of whole number and operations is insufficient and in need of improvement. PTs reason about whole numbers and operations in ways that are tied to the standard algorithms. At the same …
Prospective Elementary Mathematics Teacher Content Knowledge: An Introduction, Christine Browning, Eva Thanheiser, Alden Edson, Patrick M. Kimani, Dana Olanoff, Jennifer M. Tobias, Ian Whitacre
Prospective Elementary Mathematics Teacher Content Knowledge: An Introduction, Christine Browning, Eva Thanheiser, Alden Edson, Patrick M. Kimani, Dana Olanoff, Jennifer M. Tobias, Ian Whitacre
Mathematics and Statistics Faculty Publications and Presentations
This Special Issue on the mathematical content knowledge of prospective elementary teachers (PTs) provides summaries of the extant peer-‐reviewed research literature from 1978 to 2012 on PTs’ content knowledge across several mathematical topics, specifically whole number and operations, fractions, decimals, geometry and measurement, and algebra. Each topic-‐specific summary of the literature is presented in a self-‐contained paper, written by a subgroup of a larger Working Group that has collaborated across several years, resulting in this Special Issue sharing the final work. The authors hope this summative look at prospective teacher content knowledge will be of interest to the mathematics education …
Understanding Multidigit Whole Numbers: The Role Of Knowledge Components, Connections, And Context In Understanding Regrouping 3+-Digit Numbers, Eva Thanheiser
Understanding Multidigit Whole Numbers: The Role Of Knowledge Components, Connections, And Context In Understanding Regrouping 3+-Digit Numbers, Eva Thanheiser
Mathematics and Statistics Faculty Publications and Presentations
This case study of a PST's understanding of regrouping with multidigit whole numbers in base-10 and non-base-10 contexts shows that although she seems to have all the knowledge elements necessary to give a conceptually based explanation of regrouping in the context of 3-digit numbers, she is unable to do so. This inability may be due to a lack of connections among various knowledge components (conceptual knowledge) or a lack of connections between knowledge components and context (strategic knowledge). Although she exhibited both conceptual and strategic knowledge of numbers while regrouping 2-digit numbers, her struggles in explaining regrouping 3-digit numbers in …
Supporting Implementation Of The Common Core State Standards For Mathematics: Recommendations For Professional Development, Paola Sztajn, Karen A. Marrongelle, Peg Smith, Bonnie L. Melton
Supporting Implementation Of The Common Core State Standards For Mathematics: Recommendations For Professional Development, Paola Sztajn, Karen A. Marrongelle, Peg Smith, Bonnie L. Melton
Mathematics and Statistics Faculty Publications and Presentations
In 2010, the National Governor’s Association and the Council of Chief State School Officers published the Common Core State Standards for Mathematics (CCSSM) and to date, 44 states, the District of Columbia, and the U.S. Virgin Islands have adopted the document. These content and practice standards, which specify what students are expected to understand and be able to do in K-12 mathematics, represent a significant departure from what mathematics is currently taught in most classrooms and how it is taught. Developing teachers’ capacity to enact these new standards in ways that support the intended student learning outcomes will require considerable …
Developing Mathematical Content Knowledge For Teaching Elementary School Mathematics, Eva Thanheiser, Christine Browning, Meg Moss, Tad Watanabe, Gina Garza-Kling
Developing Mathematical Content Knowledge For Teaching Elementary School Mathematics, Eva Thanheiser, Christine Browning, Meg Moss, Tad Watanabe, Gina Garza-Kling
Mathematics and Statistics Faculty Publications and Presentations
In this paper the authors present three design principles they use to develop preservice teachers' mathematical content knowledge for teaching in their mathematics content and/or methods courses: (1) building on currently held conceptions, (2) modeling teaching for understanding, (3) focusing on connections between content knowledge and other types of knowledge. The authors share results of individual research projects and teaching approaches focusing on helping preservice elementary teachers develop such knowledge. Specific examples from different content areas (whole number, fractions, angle, and area) are discussed.
Investigating Further Preservice Teachers’ Conceptions Of Multidigit Whole Numbers: Refining A Framework, Eva Thanheiser
Investigating Further Preservice Teachers’ Conceptions Of Multidigit Whole Numbers: Refining A Framework, Eva Thanheiser
Mathematics and Statistics Faculty Publications and Presentations
This study was designed to investigate preservice elementary school teachers’ (PSTs’) responses to written standard place-value-operation tasks (addition and subtraction). Previous research established that PSTs can often perform but not explain algorithms and provided a four-category framework for PSTs’ conceptions, two correct and two incorrect. Previous findings are replicated for PSTs toward the end of their college careers, and two conceptions are further analyzed to yield three categories of incorrect views of regrouped digits: (a) consistently as 1 value (all as 1 or all as 10), (b) consistently within but not across contexts (i.e., all as 10 in addition but …
Utilization Of Revoicing Based On Learners‘ Thinking In An Inquiry-Oriented Differential Equations Class, Oh Kwon Nam, Mi Kyung Ju, Chris Rasmussen, Karen A. Marrongelle, Jae Hee Park, Kyoung Hee Cho, Jung Sook Park, Jee Hyun Park
Utilization Of Revoicing Based On Learners‘ Thinking In An Inquiry-Oriented Differential Equations Class, Oh Kwon Nam, Mi Kyung Ju, Chris Rasmussen, Karen A. Marrongelle, Jae Hee Park, Kyoung Hee Cho, Jung Sook Park, Jee Hyun Park
Mathematics and Statistics Faculty Publications and Presentations
Researchers of mathematics education are increasingly interested in a teacher's discursive moves, which refer to deliberate actions taken by a teacher to participate in or influence debate and discussion in the mathematics classroom. This study explored one teacher's discursive moves in an undergraduate inquiry-oriented mathematics class. The data for this study come from four class sessions in which students investigated initial value problems as represented by the phase portrait of a system of differential equations. Through the analysis and a review of the literature, we identified four categories of a teacher's discursive moves: revoicing, questioning/requesting, telling, and managing. This report …