Search results for: Mathematics instruction
Page 5/15 150 items
Exploring the Mathematical Knowledge for Teaching Geometry and Measurement through the Design and Use of Rich Assessment Tasks
In this article, the author describes the development of a series of tasks designed to investigate and measure teachers’ mathematical knowledge for teaching geometry and measurement. The author presents three design features for rich, open-response items that assess mathematical knowledge for teaching. The set of six two-dimensional geometry and measurement tasks embody these design features and illustrate the ways in which the tasks are grounded in the context of teaching, capture nuanced teacher performance, and measure common and specialized content knowledge. The examples of teacher performance on these tasks illustrate the ways in which the tasks can differentiate teacher performance.
Updated: Aug. 20, 2014
In this longitudinal study, the authors investigate changes in teachers’ mathematics knowledge during a mathematics content course focused on real-world applications and during a content/pedagogy hybrid course designed specifically for elementary teachers. The authors used two popular assessments in the United States: (1) Learning Mathematics for Teaching (LMT) and (2) Diagnostic Teacher Assessments in Mathematics and Science (DTAMS). The findings reveal that teachers made large gains on both measures. However, the LMT better captured gains made during the hybrid course, whereas DTAMS better detected gains during the mathematics course. Furthermore, the patterns of change differed during the two courses, with the LMT scores increasing during the hybrid course only and the DTAMS scores increasing over the two courses.
Updated: Jul. 02, 2014
Preservice Early Childhood Teachers’ Sense of Efficacy for Integrating Mathematics and Science: Impact of a Methods Course
The purpose of this study was to investigate the effectiveness of an integrated science and mathematics methods course on preservice early childhood teachers’ efficacy beliefs for integrating science and mathematics in early childhood classrooms. Participants in two cohorts were tested to assess their efficacy beliefs for teaching science, mathematics, and integrating science and mathematics before and immediately after instruction. The findings provided evidence that the methods course was effective at enhancing preservice teachers’ efficacy beliefs for integrating science and mathematics.
Updated: Jun. 24, 2014
This article investigates the fraction knowledge of prospective elementary teachers in Taiwan. The findings suggest that Taiwanese prospective elementary teachers’ common fraction knowledge is quite secure. Many of them have developed multiple strategies for solving fraction division word problems and showed flexibility in utilizing them. All three of the major strategies prospective teachers used to solve the number line problem and the jogging problem are built upon multiple pieces of the knowledge package described by Ma (1999). The authors recommend a concerted effort to help prospective elementary teachers develop a level of proficiency on fraction division comparable to their Taiwanese counterparts at the conclusion of their required mathematics courses.
Updated: Jun. 18, 2014
This article examines prospective elementary teachers’ difficulties and growth with language for defining the whole. Thirty-three prospective teachers participated in a semester-long classroom teaching experiment conducted in a content course focusing on mathematics for teaching elementary school. The results of this study indicate that three mathematical ideas became taken-as-shared as prospective elementary teachers developed an understanding of language use for defining the whole. The first was that fractional solutions depend on a group or whole. The second included defining an of what. The third was developing language in terms of what the denominator represents.
Updated: May. 20, 2014
The goal of this study is two-fold: 1) to examine the role content knowledge plays in prospective teachers’ (PSTs) ability to recognize children’s conceptual understanding of mathematics, and, 2) to examine examined PSTs' ability to recognize evidence of children’s conceptual understanding of mathematics in three content areas before and after an instructional intervention designed to support this ability. The results of this study suggest that content knowledge is necessary but insufficient in supporting PSTs’ ability to recognize evidence of children’s conceptual understanding of mathematics.
Updated: May. 11, 2014
In this study, the authors were interested to investigate how a lesson plan study (LPS) activity conducted within the context of a computer-supported collaborative learning (CSCL) environment would impact on prospective teachers’ repertoires of pedagogical-content knowledge (PCK) about teaching primary school mathematics. By the end of this study, it was found that the prospective teachers had made considerable advances to their repertoires of PCK. The authors found several factors that influenced growth in PCK.
Updated: Apr. 30, 2014
Connecting Changes in Secondary Mathematics Teachers’ Knowledge to their Experiences in a Professional Development Workshop
This article explores changes in teachers’ knowledge of the cognitive demands of mathematical tasks following their participation in the ESP ‘‘Improving Practice’’ workshop throughout the 2004–2005 school year. The article also examines how those changes connect back to teachers’ experiences in the workshop. The findings reveal that at the end of the ‘‘Improving Practice’’ workshop, ESP teachers significantly increased their knowledge of the cognitive demands of mathematical tasks and had significantly higher knowledge than teachers in the contrast group. The author concludes that the strong connections between changes in teachers’ knowledge and their experiences in the workshop provide indications that learning occurred during the workshop, and this learning may have influenced subsequent changes in teachers’ classroom practices.
Updated: Apr. 06, 2014
This study investigated the factors that credential program's graduates perceived to support or impede their implementation of certain university-taught practices. The participants were 19 graduates of Northridge’s secondary-mathematics-credential program in California State University. The teachers in this study portrayed the credential program as the most significant factor promoting their use of the Practices. The findings of this study suggest that both university and employing school play crucial roles, and changes in both arenas would facilitate the uptake of such practices.
Updated: Apr. 02, 2014
Our Practice, Their Readiness: Teacher Educators Collaborate to Explore and Improve Preservice Teacher Readiness for Science and Math Instruction
The authors are four preservice teacher educators who became collaborators and co-researchers to explore their preservice teachers' attitudes toward science and mathematics. The authors found significant differences among the PTs in the program, both in terms of their attitudes and prior experiences of science and math education, and in their confidence in engaging their students in these subjects. This collaborative research project provided two avenues for professional learning: the findings we established from the data collected from the PTs and the actual experience of collaborating and learning about each others’ philosophical stances.
Updated: Mar. 17, 2014