This study is based on our belief that mathematics should be challenging in any classroom and that mathematical challenge is among the central factors that determine the quality of mathematics lessons. Choosing challenging mathematical problem for the students is central in teachers' work while their conception of mathematical challenge can…

This article discusses an activity designed to encourage writing to learn in mathematics. There were three stages of data collection. An assessment, requiring basic algebra only, was completed by 118 undergraduates from statistics and calculus courses. Students were given summaries of all participant responses, along with the correct answers.…

This article presents a study done in an elementary mathematics methods course that focused on the transition of novice teachers' epistemological stances: former elementary student, university student, and teacher stances. In order to help them develop the teacher stance, we designed a three-phase activity, where two phases took place inside…

This text offers an educational perspective on the challenges surrounding the implementation of integration (and interdisciplinarity) of mathematics and sciences and technology (M-S&T) in education and in the initial training of secondary school teachers. We find that the core nature of scientific and school disciplines in initial teacher…

Though science education has been prominent in the Canadian educational system, researchers increasingly recognize the scientific and educational value of integrating traditional ecological knowledge (TEK) into their curriculum. Despite national strategies to integrate TEK, Canada has yet to initiate a comprehensive study of its prevalence and…

There is a chronic international shortage of mathematics and science teachers, particularly physicists. The study reported here examines why physicists become teachers and why they stay in teaching. Physicists from seven preservice teacher training cohorts from three English universities were invited to answer an online survey with follow-up…

New science curricula in Ontario position science, technology, society, and environment (STSE) objectives at the fore of all science courses. A professional learning community (PLC) consisting of 24 elementary teachers and a facilitation team was established to assist teachers in meeting the challenges of STSE education. Specifically, we examine…

The purpose of this research was to determine whether teaching argumentation to high school biology students improved their argumentation skills, informal reasoning, and genetics understanding. Using a quasi-experiment with mixed methods of data collection, five teachers participated in professional learning on argumentation and socioscientific…

Analysis of views from a select group of Kenyan science teachers regarding the effect of student learning experiences on their teaching after implementing a contextualized science unit revealed that the teachers' (a) literal interpretation and adherence to the official curriculum conflicted with the students' desires to understand…

This article addresses some of the curriculum implications of adopting a socioscientific issues (SSIs)-oriented approach to science education, including (a) the need to provide scientific knowledge on a need-to-know basis and adapted to the complexity, multidimensionality, and fluidity of real-world situations and the constraints of particular…

In this article, we obtain a genetic decomposition of students' progress in developing an understanding of the decimal 0.9 and its relation to 1. The genetic decomposition appears to be valid for a high percentage of the study participants and suggests the possibility of a new stage in APOS Theory that would be the first substantial change in…

This article takes issue with the widespread assumption that students' socioscientific decisions ought to be evidence based. On the basis of a careful conceptual analysis, it is argued that it is misleading to think in terms of evidence in socioscientific decision making because such decision making is a process of deliberation in which…

We describe and analyze three episodes from mathematics classrooms. In each case, the teacher was confronted by a "contingent" situation that they had not anticipated or planned for yet that offered interesting and fruitful learning possibilities if pursued. In two cases, we analyze the teacher's response; in the third, we speculate how they might…

What is the evidence that teachers who return to learn more mathematics are better teachers? Over more than a decade we have been involved in six different projects giving teachers the opportunity to reengage with mathematics. We have returned to them to ask the teachers about the long-term impact and to give us examples. The result extends…

Following Star (2005, 2007), we continue to problematize the entangling of type and quality in the use of conceptual knowledge and procedural knowledge. Although those whose work is guided by types of knowledge and those whose work is guided by qualities of knowledge seem to be referring to the same phenomena, actually they are not. This lack of…