teachers’ beliefs with the practices they are expected to enact. Despite considerable research on the role of teachers’ beliefs in teaching mathematics since the early reform initiatives in the 1990s ( Skott, 2015 ), the research base lacks a measure
Bilge Yurekli, Mary Kay Stein, Richard Correnti, and Zahid Kisa
Lawrence M. Clark, Jill Neumayer DePiper, Toya Jones Frank, Masako Nishio, Patricia F. Campbell, Toni M. Smith, Matthew J. Griffin, Amber H. Rust, Darcy L. Conant, and Youyoung Choi
This study investigates relationships between teacher characteristics and teachers' beliefs about mathematics teaching and learning and the extent to which teachers claim awareness of their students' mathematical dispositions. A professional background survey, a beliefs and awareness survey, and a teacher mathematical knowledge assessment were administered to 259 novice upper-elementary and 184 novice middle-grades teachers. Regression analyses revealed statistically significant relationships between teachers' beliefs and awareness and teachers' mathematical knowledge, special education certification, race, gender, and the percentage of their students with free and reduced meal status. This report offers interpretations of findings and implications for mathematics teacher education.
Wendy S. Bray
This collective case study examines the influence of 4 third-grade teachers' beliefs and knowledge on their error-handling practices during class discussion of mathematics. Across cases, 3 dimensions of teachers' error-handling practices are identified and discussed in relation to teacher beliefs and knowledge: (a) intentional focus on flawed solutions in class discussion, (b) promotion of conceptual understanding through discussion of errors, and (c) mobilization of a community of learners to address errors. Study findings suggest that, although teachers' ways of handling student errors during class discussion of mathematics are clearly linked to both teacher beliefs and teacher knowledge, some aspects of teacher response are more strongly linked to knowledge and others are influenced more by beliefs.
Thomas L. Good, Douglas A. Grouws, and DeWayne A. Mason
This study examines teachers' beliefs about, and practices in, small-group teaching of mathematics. A sample of 1509 teachers from 126 elementary schools in 10 districts in three states completed the survey. Roughly 80% of the teachers reported using the whole-class format as the basic organization for mathematics lessons. About 13% of the teachers reported using two or more groups and that while they worked with one group, students assigned to other groups worked alone. Only 5% of the teachers reported using two or more groups in which students were encouraged to work cooperatively. The paper discusses the various beliefs teachers report in deciding whether or not to group for instruction and describes how teachers use group instruction in mathematics classes. Grade-level differences are also explored.
AnnaMarie Conner and Laura Marie Singletary
Connecting teachers’ beliefs and their classroom practice has been a long-standing endeavor in the search for how to understand and improve teaching. Previous studies have yielded mixed results, with some claiming that teachers’ beliefs determine
John K. Lannin and Kathryn B. Chval
Use these specific strategies to confront assumptions about teaching and learning mathematics.
Carlos Nicolas Gomez and AnnaMarie Conner
students, prospective teachers, and practicing teachers ( Middleton et al., 2017 ; Philipp, 2007 ; Richardson, 1996 ; Thompson, 1992 ). Pajares (1992) argued that understanding teachers’ beliefs about content areas, such as mathematics and science, is
James A. Middleton
In this study I examine the structures of 2 teachers' beliefs about what makes mathematics intrinsically motivating and provide instances of the representations of their beliefs at 2 times: before the introduction of middle school mathematics curricula organized around the tenets of Realistic Mathematics Education and after 1 year of implementing a pilot program. Personalconstructs analyses are paired with observations of teachers' classrooms and their beliefs and perceptions as reported in semistructured interviews. Results indicate that the teachers became more attuned to the conceptual complexity and challenge of mathematics activities and placed less emphasis on task ease over their year of involvement in the pilot program. Results are discussed in relation to “job-embedded learning,” a form of staff development that fosters teachers' development of meaning with regard to reforms, and how such learning enables shifts in teacher beliefs and practice.
Cheryl Ann Lubinski and Nancy Nesbitt Vacc
Seth was sitting in his second-grade classroom on the third day of school. He'd just finished writing on his paper after his teacher, Ms. Kates, had given the class a problem to solve.
Randolph A. Philipp, Rebecca Ambrose, Lisa L.C. Lamb, Judith T. Sowder, Bonnie P. Schappelle, Larry Sowder, Eva Thanheiser, and Jennifer Chauvot
In this experimental study, prospective elementary school teachers enrolled in a mathematics course were randomly assigned to (a) concurrently learn about children's mathematical thinking by watching children on video or working directly with chil-dren, (b) concurrently visit elementary school classrooms of conveniently located or specially selected teachers, or (c) a control group. Those who studied children's mathematical thinking while learning mathematics developed more sophisticated beliefs about mathematics, teaching, and learning and improved their mathematical content knowledge more than those who did not. Furthermore, beliefs of those who observed in conveniently located classrooms underwent less change than the beliefs of those in the other groups, including those in the control group. Implications for assessing teachers' beliefs and for providing appropriate experiences for prospective teachers are discussed.