Search results for: Mathematics
Page 1/10 93 items
This paper aims to examine the potential of video-catalysed reflective practice for supporting ongoing teacher professional learning in numeracy. Specifically, the authors will explore the effectiveness of two different formats of video-based professional learning programmes: the first involving one teacher and one researcher and the second two teachers and two researchers, both of which took place over relatively short periods of time. The findings reveal that the participants found video-stimulated recall a powerful medium for revealing aspects of their practice they had not previously considered.
Updated: Dec. 16, 2018
Teaching Efficacy: Exploring Relationships between Mathematics and Science Self-Efficacy Beliefs, PCK and Domain Knowledge among Preservice Teachers from the United States
This study explored the relationships among preservice teachers’ mathematics and science teaching efficacy beliefs, their pedagogical content knowledge (PCK) and their domain knowledge (DK). It was found that participants’ PCK and efficacy beliefs correlate to a high degree and influence each other. Furthermore, the results indicated that participants’ mathematics and science DK did not predict their teaching efficacy beliefs, however, their mathematics and science overall PCK score predicted participants’ efficacy beliefs, more exactly, their outcome expectancies. Furthermore, the findings show that elementary preservice teachers’ previous efficacy beliefs are more likely to predict their future efficacy beliefs than their mastery of DK and PCK.
Updated: Dec. 12, 2018
In this study, the authors aimed investigated to identify elements that constitute the practical rationality of mathematics teaching. Specifically, they focused on the assumptions that participants made regarding what should constitute the launch of a problem-based lesson. The authors hypothesized that different assumptions may lead to tensions and dilemmas when launching a problem. The authors conclude that the manner in which teachers set up a problem can reduce the opportunities for high-level mathematical reasoning. Hence, they argue that the launch is important for teachers to maximize student engagement and mathematical reasoning. They also note that teachers’ decisions about launching a problem can enable students to exercise conceptual agency.
Updated: May. 24, 2018
The purpose of this study is to examine whether using Lesson Study with preservice secondary mathematics teachers might better prepare students to be teachers. The main finding of this action research is that Lesson Study can have a strong influence on the efficacy of preservice mathematics teachers. In addition, it was found that a key factor in establishing the confidence of the preservice teachers was the direct connection from the field-experience school to the methods classroom.
Updated: Mar. 25, 2018
The present study explores the evolution of prospective teachers’ understanding of mathematical modeling through the implementation of a modeling module. The findings reveal that though most prospective teachers had misconceived definitions of mathematical modeling prior to the module. The participants developed the correct understanding of modeling as an iterative process involving making assumptions and validating conclusions connected to everyday situations. Furthermore, the authors found that the participants translated the modeling cycle into practice. The authors indicate that the experience offered by mathematical modeling modules of this type can have a lasting positive effect in the prospective teachers’ quality of instruction.
Updated: Feb. 22, 2018
Opportunities to Notice: Chinese Prospective Teachers Noticing Students’ Ideas in a Distance Formula Lesson
This article examines the noticing of six Chinese mathematics prospective teachers (PSTs) when looking at a procedural error and responding to three specific tasks related to that error. The results demonstrate that all six PSTs attended to the order exchange issue. The participants were able to attend to, interpret, and respond to the order exchange issue from various perspectives. The authors argue that this variety of perspectives suggests a variety of access to PCK and prior experiences as students of mathematics.
Updated: Feb. 11, 2018
This study aimed to understand the characteristics of the questions and responses of prospective teachers (PTs) who engaged in a mathematics-specific consultation about how to meet the mathematics learning needs of a student with special education needs (SEN). The findings reveal that elementary PTs did not maximise the potential of questioning and responding stages of the consultations. The authors found that elementary PTs rarely asked about how the SEN affected the mathematics learning. They also rarely attended to either the mathematics content or the student engagement in the mathematical practice.
Updated: Feb. 06, 2018
Investigating the Improvement of Prospective Elementary Teachers’ Number Sense in Reasoning about Fraction Magnitude
This study explored whether and how prospective teachers (PTs) fraction sense could improve in the setting of a Number and Operations course. the results from the interviews with seven participants provide evidence that their performance and flexibility in comparing fractions improved. The authors found that 6 of the 7 interview participants adopted at least two new valid strategies for comparing fractions. Consequently, these findings can guide mathematics teacher educators how to support PTs to reason meaningfully and flexibly about fraction magnitude.
Updated: Oct. 25, 2017
The authors examine whether an analysis framework, the Mathematical Quality of Instruction (MQI), can assist prospective teachers in noticing and interpreting salient aspects of classroom practice. The findings indicate that participation in a video club led prospective teachers to be better able to notice these salient features of mathematics instruction when watching video-taped lessons. Furthermore, participants adopted a more interpretive stance toward the classroom components they noticed and used evidence to support their stance. Prospective teachers’ abilities to notice students’ mathematical thinking improved as a result of structured video analysis.
Updated: Jul. 03, 2017
Investigating the Knowledge Needed for Teaching Mathematics: An Exploratory Validation Study Focusing on Teaching Practices
This study attempted to validate the argument that special knowledge is needed for teaching, in addition to pure mathematical knowledge. The authors explored participants’ knowledge with respect to four teaching practices: providing and evaluating explanations; selecting and using representations; analyzing student errors, misconceptions, and non-conventional solutions; and selecting tasks. The authors found no statistically significant differences between the three groups under consideration in the pure mathematical knowledge items. However, the findings suggest that measuring teacher knowledge by using multiple-choice tests might mask true differences that may exist among participants from different populations. Hence, alternative approaches are needed to tap into participants’ knowledge.
Updated: Jun. 26, 2017