This study introduces a framework for analyzing opportunities for mathematical reasoning (MR) in school mathematics, using MR-relevant claims and their derivation as the unit of analysis. We contend that this approach can effectively capture a broad range of opportunities for MR across various teaching situations. The framework, rooted in…

Encouraging students' ability to reason can be looked at through the lens of both oral and written representations. In 2022, the author participated in the first intake of the Teacher Excellence Program run by the Victorian Teaching Academy. Being part of an in-depth professional learning program challenged the author's teaching practices to focus…

Technology can play a pivotal role in mathematics education. Qualitative methods were used to report on how a Year 1-2 teacher incorporated "Conveyance technology" (iPads), to support the teaching and learning of mathematics through student reasoning and problem-solving. The study was conducted in Australia. A single case was chosen,…

Background and Context: Various coding initiatives and materials exist such as those on Code.org site to promote students' computational thinking (CT). However, little is known as to: (a) whether such materials, in fact, promote CT and (b) how CT skills are related to each other. Objective: As a preliminary step to identify CT skills addressed in…

The fields of quantitative and covariational reasoning boast a wide range of powerful theoretical tools, which are described carefully in the literature. Less frequent and explicit attention, however, has been paid to writing down detailed, practical guidance for operationalizing these theoretical constructs. Some guidance is provided by…

Design thinking--understanding the human needs related to a problem, reframing the problem in human-centric ways, creating many ideas in brainstorming sessions, and adopting a hands-on approach to prototyping and testing--offers a complementary approach to the rational problem-solving methods typically emphasized in business schools. Business…

Background and context: Transfer is a process where students apply their learning to different contexts. This process includes using their knowledge to solve problems with similar complexity, and in new contexts. In the context of programming, transfer also includes being able to understand and use different programming languages. Objective: This…

A case study of calculus instructional material (comprising of lecture notes and tutorial practice worksheets) designed by teachers from a Singapore pre-university is presented in this paper. As textbooks have not been available for mathematics at the pre-university levels, the instructional material was a product of the teachers' collaborative…

A Common Core expectation of high school mathematics students is to analyze functions using different representations. One type of function to be analyzed is piecewise-defined functions. The author has found most approaches to the study of piecewise functions to be abstract, disconnected from any context, and difficult for students to understand.…

A solid understanding of fractions is the cornerstone for acquiring proficiency with rational numbers and paves the way for learning advanced mathematical concepts, such as algebra. Fraction difficulties limit not only students' educational and vocational opportunities but also their ability to solve everyday problems. Students who exit 6th grade…

The National Council of Teachers of Mathematics (NCTM, 2014) highlights that effective teaching practices promote students' reasoning and sense making through various problem-solving strategies. Rather than telling students what to do and how to solve problems, teachers are expected to engage learners in accessible real-life problem situations…

The literature highlights differing views on the efficacy of modelling lessons for teacher professional learning. In this study we draw on dissonance theory to discuss lesson modelling that seeks to transcend 'do as I do' imitation and provoke teachers' attention to intended teaching practices: a necessary pre-cursor for changes to practice. A…

Purpose: This study reports the process and results of a professional development program (PDP) carried out with science, mathematics and technology (SMT) teachers throughout Thailand. Method: One hundred and three teachers participated and completed the professional development program which is comprised five of phases: (1) commit to a vision and…

The authors describe a mathematics lesson designed to allow students to use their own thinking to solve elapsed time problems. Their approach emphasises student-centered structured inquiry, and follows a 'Launch, Explore and Summarise' format.

Inquiry-based practical work (IBPW) is one of the innovative instructional strategies in science education. Science teacher preparation programmes play a role in preparing preservice teachers to facilitate IBPW in classrooms located in different school settings, including multiple-deprived classrooms. The adverse conditions against the successful…