This study investigated the effect of teaching rehearsals on 22 preservice secondary mathematics teachers (PSMTs) who were in their first mathematics pedagogy course. The objective of the teaching rehearsal was to introduce PSMTs to student-centered teaching. PSMTs worked in groups to complete a learning cycle consisting of analyzing a mathematics…

Gestures have been shown to play a key role in mathematical reasoning and to be an indicator that mathematical understanding is "embodied" -- inherently linked to action, perception, and the physical body. As learners collaborate and engage in mathematical discussions, they use discourse practices like explaining, refuting, and building…

Fifty-seven students in mathematical content and secondary mathematics methods courses from four U.S. universities participated in an instructional sequence to generate communal criteria defining mathematical proof within their respective classrooms. Participants completed a proof-related task before class, worked together in small groups to…

The aim of this study is to reveal the benefits gained from "Special Training Methods II" course and the problems prospective mathematics teachers encountered with it. The case study method was used in the study. The participants in the study were 34 prospective mathematics teachers studying at a Primary School Mathematics Education…

As creating and critiquing arguments becomes more of a focus in mathematics classes, teachers need to develop their abilities to facilitate productive arguments. Toulmin's (1958/2003) model of argumentation has been useful in analyzing arguments in mathematics education research, raising the question whether it would assist mathematics teachers as…

This study investigated the learning process of preservice elementary teachers (PSTs) through lesson study in a mathematics teaching methods course. Lesson study meeting data of kindergarten PSTs were analyzed to examine the shifting focus on (1) student collaboration in classroom (vision), (2) teaching practices (making content accessible), and…

The quality of mathematics teaching in Lesotho primary education remains one of the vexing problems in the education system. The study investigated how teachers viewed the impact of instruction on enhancing their knowledge of teaching. Data for the study were elicited from the second-year students enrolled for a Bachelor of Education in the…

Using a nonroutine problem can be an effective way to encourage students to draw on prior knowledge, work together, and reach important conclusions about the mathematics they are learning. This article discusses a problem on the mathematical preparation of chocolate milk which was adapted from an old book of puzzles (Linn 1969) and has been used…

There is a continuing emphasis in the United States to improve student's mathematical abilities and one approach is to better prepare teachers. This study investigated the effects of using lesson study with preservice secondary mathematics teachers to improve their proficiency at planning and implementing instruction. The participants were…

This paper examines how Lesson Study (Lewis, 2002) was used in an elementary mathematics methods course held at a Professional Development School and intended to support pre-service teachers to become reflective practitioners while working alongside clinical faculty. Attention is given to detailing the features of Lesson Study that situates the…

Training and investing teachers at all career levels in student-centered practices is widely recognized as a significant challenge. Various studies document the failure of student-centered teaching practices to take hold in K-12 mathematics classrooms in significant ways, including collaborative work; problems that are cognitively demanding or…

Studies four preservice elementary teachers during a field-based mathematics methods course to investigate elements of mathematics teaching and learning that teachers found problematic and how they resolved those problems. Concluded that teachers exhibited concerns about classroom context, pedagogy of mathematics, children's mathematical thinking,…

The study examined the integration of science and mathematics methods courses and preservice teachers' understanding of constructivism. The participants were 50 preservice teachers who were enrolled in early childhood education mathematics and science methods courses, and an early childhood practicum. The two methods courses were integrated and…

Piggybacking is a new approach to a university-level methods class in math, science, and social studies in early childhood education developed at the McKay Campus School in Fitchburg, Massachusetts. This approach seeks to improve on methods courses that ask college students to pretend they are teaching young children or pretend they are being…