This study seeks to offer a comparative analysis of the History of Mathematics (HoM) elements identified in the secondary school mathematics textbooks of different countries. Drawing on document analysis method, this study analyzes the secondary school mathematics textbooks of Turkey, Singapore, Ireland and Canada. The HoM elements in the…

In this article, we consider the phenomenon of improvisation by small groups of middle years students while engaged in rich mathematical tasks in a classroom setting. Working from the premise that improvisation comprises a spectrum of behaviour, we propose that there is a range of improvisational behaviours that may be observed as the students…

This paper proposes a rationale that supports a renewal of our predominantly 19th century curriculum for Grades 7-12, identified as Mathematics 1.0. It was originally established in the mid 1800s to prepare learners mostly from upper-class families to succeed in a post-industrial society. Today's digital revolution has changed society remarkably,…

This study seeks to identify the configurations of classroom teaching practices, defined based on the classroom goal structures (mastery-approach, performance-approach, and performance-avoidance) and social climate (academic support, emotional support, mutual respect, and task-related interactions) to which a sample of 1,453 seventh graders…

Powerful learning environments (PLEs) are based on a social constructivist theory of learning, providing a stimulating, resource-rich and inquiry-supportive environment for student self-regulated learning. Fidelity of implementation (FOI) for such PLEs is dependent on several factors, the most critical factor being the teacher's belief system,…

This study examined and compared the intended mathematics curricula according to topic coverage, focus, coherence, and learning progression in grades 1-12 within China and the province of Ontario, Canada. The findings show that the overall topics in the two curricula are similar: Chinese curriculum covers 78 topics out of 79 while the Ontario…

This study traces curricular support for concepts related to infinity and division by zero, in both elementary and secondary mathematics curriculum documents in our province. It was motivated by results of our previous and ongoing work related to transition to post-secondary studies in mathematics, in which we identified consistent gaps and…

This study examines how one teacher supported low-achieving students' self-regulated learning (SRL) in the context of a secondary mathematics class. The teacher's scaffolding provided students with multiple opportunities to use feedback and adapt learning and study strategies. Data compared pre- and post-measures of metacognitive skills,…

In this article, we describe the experiences of two preservice teachers (PSTs) who served as teaching assistants (TAs) in a secondary mathematics teaching methods course. As TAs, the PSTs approximated practice by being independently responsible for a learning environment and leading discussions with groups of students. Although the PSTs felt…

We present the results of a research project on arithmetic-algebraic thinking that was carried out jointly by a team in Mexico and another in Quebec. The project deals with the concepts of variable and covariation between variables in the sixth grade at the elementary level and the first, second, and third years of secondary school--namely,…

This study aims to reveal the similarities and differences in the secondary mathematics curricula (SMC) of Turkey, Estonia, Canada, and Singapore during the 2018-2019 academic years by comparing them in terms of the curriculum components. In this context, the horizontal approach technique, one of the comparative education approaches, was used in…

The secondary-school mathematics curriculum is narrow in scope and technical in character; this is quite different from the nature of the discipline itself. As a result, it offers little inspiration to both students and teachers, and provides students with poor preparation for university mathematics courses and indeed for life. Over the past…

Curriculum and cognitive level alignment among the intended, the enacted, and the assessed curricula were explored and measured. In particular, the focus of the study was on two domains: content/operations and cognitive levels/processes. Results indicated that cognitive level alignment among the intended, enacted and assessed curricula was 0.07.…

Streaming students in secondary mathematics classrooms is a common practice in the province of Ontario, although there is conflicting evidence of its benefits. In this province, three streams of mathematics are available in grade 9. One of these streams, termed "locally developed," is based on the idea that school boards and teachers…

In 1998 Marzano proposed a taxonomy of learning that integrated three domains or systems: the self system, which involves student motivation; the metacognitive system, involving goal setting and planning; and the cognitive system, required to complete the task at hand. Although extant for 20 years, a paucity of studies have utilized this taxonomy,…