A growing consensus holds that preservice K-8 teachers (PSTs) need to experience the modeling process as learners to understand it and envision teaching modeling in their future classrooms. We examine this recommendation by exploring how PSTs construct models and how collaborative learning practices influence them in revising and refining their…

The development of mathematical reasoning skills has increasingly been of focus for the teaching and learning of mathematics. This research utilizes a teaching simulation using the methodology of scriptwriting, in which prospective teachers are asked to complete a script of a dialogue from a classroom simulation involving fraction multiplication…

In our mathematics methods courses for elementary preservice teachers, we work to uncover and confront students' understandings as well as misconceptions about important mathematical topics. Karp and colleagues' ("Teaching Children Mathematics", 21(1), 18-25) "13 Rules That Expire" article has been a useful resource for us to…

Thirty-seven preservice teachers engaged in a self-regulated learning experience proposed to increase their algebra content knowledge and to examine their use of data to make instructional decisions. Using weekly algebra curriculum-based measures, preservice special education teachers set learning goals and objectives, individually selected and…

Sociomathematical norms are the explicit or implicit arrangements that affect participation in mathematics classes and the emerging interactive structure of mathematical practice. For effective instruction, the teacher should guide the creation and development of acceptable sociomathematical norms. Thus, pre-service teachers should be given…

Some goals of mathematics teacher education include ensuring that pre-service teachers (PSTs) have strong content knowledge, the skill to anticipate and interpret student thinking, the ability to plan how to respond, and the ability to critically select resources for instruction. These goals are especially challenging for the topic of geometric…

Virtual solutions of museums can be notably used to promote distance learning activities by providing information about their collections. However, the effective use of this potential depends mainly on the exact alignment of the learning activities with the educational goals. For this purpose, this study focuses on the analysis of pre-service…

A multiple case study was conducted to investigate how Lego robotics instruction incorporated into a middle grades mathematics methods course could inform pre-service teachers' (PSTs) TPACK through the lens of Social Constructivist Theory. The qualitative data analysis revealed that when instruction on Lego robotics technology is integrated into…

This article is a celebration of the pleasure inherent in the teaching of mathematics, with a particular focus on a university undergraduate context, and a taught course in the Theory of Numbers. The paper describes a conscious effort by one lecturer to respect the 'genetic sequence', whereby students are encouraged and enabled to investigate the…

We explore prospective elementary-school teachers' attempts to provide signs and symbols with mathematical meaning in a case involving non-integers as numerator or denominator. The data comprises 33 responses to a task inquiring about the existence of numbers between 1/6 and 1/7, in which the participants were asked to compose a hypothetical…

We know that making mistakes in mathematics is an inherent attribute of doing mathematics deeply. Yet, making mistakes is at the root of mathematical fear and anxiety for elementary preservice teachers (PSTs). Valuing mistakes in mathematics is an essential part of shifting from deficient views to asset views of mistakes and having better…

The purpose of this study is to examine how preservice middle-school mathematics teachers connect mathematics with museum resources in their lesson plans. Nine museum-based mathematics lesson plans developed by preservice teachers were examined, based on the interactive experience model. The findings showed that although the preservice teachers…

The purpose of the current study was to evaluate the impact of co-taught integrated STEM methods instruction on preservice elementary teachers' self-efficacy for teaching science and mathematics within an integrated STEM framework. Two instructional methods courses (Elementary Mathematics Methods and Elementary Science Methods) were redesigned to…

Recognizing the multiple interacting layers of pedagogical content knowledge, in this article, we present the findings from a study that examined the extent to which participation in case-based instruction about self-generated visual representations (VRs) supported special education pre-service teachers (N = 25) in enhancing their (a) knowledge of…

Approximations of practice create valuable opportunities for preservice teachers (PSTs) by engaging them in components of teaching. By reviewing the literature, this study explored PSTs' learning through approximations and the extent approximated practices preserve the complexity -- or authenticity -- of teaching. A review of 25 empirical studies…