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Charalambous, Charalambos Y.; Hill, Heather C.; Chin, Mark J.; McGinn, Daniel – Journal of Mathematics Teacher Education, 2020
During the last three decades, scholars have proposed several conceptual structures to represent teacher knowledge. A common denominator in this work is the assumption that disciplinary knowledge and the knowledge needed for teaching are distinct. However, empirical findings on the distinguishability of these two knowledge components, and their…
Descriptors: Elementary School Teachers, Mathematics Education, Pedagogical Content Knowledge, Predictor Variables
Litke, Erica; Hill, Heather C. – Elementary School Journal, 2020
Understanding and analyzing data is a crucial aspect of quantitative literacy in the 21st century, leading scholars and policy makers to push for more rigorous instruction in this area rooted in statistical investigation. In this study, we examine 144 upper-elementary mathematics lessons on data and statistics topics to assess the extent to which…
Descriptors: Mathematics Instruction, Elementary School Students, Graphs, Statistics
Litke, Erica; Hill, Heather C. – Elementary School Journal, 2020
Understanding and analyzing data is a crucial aspect of quantitative literacy in the 21st century, leading scholars and policy makers to push for more rigorous instruction in this area rooted in statistical investigation. In this study, we examine 144 upper-elementary mathematics lessons on data and statistics topics to assess the extent to which…
Descriptors: Mathematics Instruction, Elementary School Students, Graphs, Statistics
Kelcey, Ben; Hill, Heather C.; Chin, Mark J. – School Effectiveness and School Improvement, 2019
In this study, we replicate and extend prior work that investigates the extent to which content-specific and non-content-specific measures of instruction mediate the relationships between teacher knowledge and student achievement gains. We further probe the extent to which classroom and district context moderate the individual and collective…
Descriptors: Elementary School Teachers, Pedagogical Content Knowledge, Mathematics, Instructional Effectiveness
Hill, Heather C.; Lovison, Virginia; Kelley-Kemple, Thomas – AERA Open, 2019
Efforts to improve teachers' knowledge and to change the nature of curriculum materials have dominated mathematics reforms since the late 1990s. In this article, we compared middle school teachers' mathematical knowledge for teaching (MKT) and curriculum use between 2005 and 2016 to assess progress toward these key goals. We found teachers' MKT…
Descriptors: Mathematics Teachers, Mathematics Instruction, Teacher Effectiveness, Mathematics Curriculum
Strengthening the Research Base That Informs STEM Instructional Improvement Efforts: A Meta-Analysis
Lynch, Kathleen; Hill, Heather C.; Gonzalez, Kathryn E.; Pollard, Cynthia – Educational Evaluation and Policy Analysis, 2019
We present results from a meta-analysis of 95 experimental and quasi-experimental pre-K-12 science, technology, engineering, and mathematics (STEM) professional development and curriculum programs, seeking to understand what content, activities, and formats relate to stronger student outcomes. Across rigorously conducted studies, we found an…
Descriptors: STEM Education, Elementary Secondary Education, Faculty Development, Curriculum
Blazar, David; Braslow, David; Charalambous, Charalambos Y.; Hill, Heather C. – Educational Assessment, 2017
New systems that seek to evaluate teachers with regard to their classroom quality often rely on observation instruments that capture general instructional pedagogies. However, decades of research suggest that content-specific dimensions of instruction also are important to differentiate teachers and improve student outcomes. We explore the degree…
Descriptors: Mathematics Instruction, Teaching Methods, Observation, Factor Analysis
Hill, Heather C.; Charalambous, Charalambos Y. – Journal of Curriculum Studies, 2012
This paper documents the ways mathematical knowledge for teaching (MKT) and curriculum materials appear to contribute to the enactment of a 7th grade "Connected Mathematics Project" lesson on comparing ratios. Two teachers with widely differing MKT scores are compared teaching this lesson. The comparison of the teachers' lesson enactments suggests…
Descriptors: Grade 7, Mathematics Instruction, Teaching Methods, Knowledge Base for Teaching
Hill, Heather C. – Teachers College Record, 2011
Background/Context: Teachers' mathematical knowledge has been the subject of recent federal policy, public programs, and scholarly attention. Numerous reports identify a need for improving this knowledge, and total federal spending on content-focused math and science professional development during the period 2002-2007 is estimated to be above…
Descriptors: Mathematics Education, Teacher Characteristics, Middle School Teachers, Mathematics Teachers
Charalambous, Charalambos Y.; Hill, Heather C.; Mitchell, Rebecca N. – Journal of Curriculum Studies, 2012
This paper examines the contribution of mathematical knowledge for teaching (MKT) and curriculum materials to the implementation of lessons on integer subtraction. In particular, it investigates the instruction of three teachers with differing MKT levels using two editions of the same set of curriculum materials that provided different levels of…
Descriptors: Mathematics Education, Teacher Characteristics, Numbers, Subtraction
Teacher Knowledge, Curriculum Materials, and Quality of Instruction: Lessons Learned and Open Issues
Hill, Heather C.; Charalambous, Charalambos Y. – Journal of Curriculum Studies, 2012
This paper draws on four case studies to perform a cross-case analysis investigating the unique and joint contribution of mathematical knowledge for teaching (MKT) and curriculum materials to instructional quality. As expected, it was found that both MKT and curriculum materials matter for instruction. The contribution of MKT was more prevalent in…
Descriptors: Case Studies, Instructional Effectiveness, Mathematics Activities, Educational Policy
Hill, Heather C. – Journal for Research in Mathematics Education, 2010
This article explores elementary school teachers' mathematical knowledge for teaching and the relationship between such knowledge and teacher characteristics. The Learning Mathematics for Teaching project administered a multiple-choice assessment covering topics in number and operation to a nationally representative sample of teachers (n = 625)…
Descriptors: Mathematics Education, Teacher Effectiveness, Teacher Characteristics, Elementary School Teachers
Delaney, Sean; Ball, Deborah Loewenberg; Hill, Heather C.; Schilling, Stephen G.; Zopf, Deborah – Journal of Mathematics Teacher Education, 2008
This article describes a study in which measures of mathematical knowledge for teaching developed in the United States were adapted to measure mathematical knowledge for teaching in Ireland. When adapting the measures it was not assumed that the mathematical knowledge used by Irish and U.S. teachers is the same. Instead psychometric and…
Descriptors: Mathematics Instruction, Knowledge Base for Teaching, Pedagogical Content Knowledge, Interviews
Hill, Heather C.; Blunk, Merrie L.; Charalambous, Charalambos Y.; Lewis, Jennifer M.; Phelps, Geoffrey C.; Sleep, Laurie; Ball, Deborah Loewenberg – Cognition and Instruction, 2008
This study illuminates claims that teachers' mathematical knowledge plays an important role in their teaching of this subject matter. In particular, we focus on teachers' mathematical knowledge for teaching (MKT), which includes both the mathematical knowledge that is common to individuals working in diverse professions and the mathematical…
Descriptors: Mathematics Instruction, Knowledge Base for Teaching, Pedagogical Content Knowledge, Teacher Competencies
Hill, Heather C.; Ball, Deborah Loewenberg; Schilling, Stephen G. – Journal for Research in Mathematics Education, 2008
There is widespread agreement that effective teachers have unique knowledge of students' mathematical ideas and thinking. However, few scholars have focused on conceptualizing this domain, and even fewer have focused on measuring this knowledge. In this article, we describe an effort to conceptualize and develop measures of teachers' combined…
Descriptors: Teacher Effectiveness, Pedagogical Content Knowledge, Mathematics Skills, Thinking Skills
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